In 2012, a sculpture was valued at
£3700.
By the end of 2013, its value had gone up
by 1%.
What was its value at the end of 2013?
Give your answer in pounds (£).

Answers

Answer 1
The value of the sculpture at the end of 2013 can be calculated by adding 1% of its initial value to the initial value.

1% of £3700 is (1/100) * £3700 = £37.

Adding £37 to £3700 gives a value of £3737 at the end of 2013.

Related Questions

HURRY PLEASE!!

{9, 7, 11, 7, 4, 10, 6, 2, 0, 7}

Minum: ?
Lower Quartile: ?
Median: ?
Upper Quartile: ?
Maximum: ?

Answers

Answer:

minimum:0

lower quartile: 4

median: 7

upper quartile: 9

maximum: 11

Step-by-step explanation:

PLEASE HELKP NOW!! HELP HELP ELP

Answers

Answer:

I'm pretty sure it b

Step-by-step explanation:

b if not then

There are 24 students in Ms. Brown's class, and 18 of them like to dance. What percent of the class likes to dance?

Answers

75% of the class likes to dance therefore the second model (purple one) because .75 time 24 is 18

Answer:

66.66%

Step-by-step explanation:

The first model is the one you should use here as 24 and 18 are multiples of 3, this means that there is eight students in each group

That means that 18/24 is equal to 2/3 so the percentage of students that like to dance is 66.66%

WRITE AND EQUATION FOR EACH GRAPH, HELP:
is not -|x+1|+1 btw

Answers

The equation of the graph is f(x) = -|x + 1| + 1

How to determine the equation of the graph

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is an absolute value graph

An absolute value graph is represented as

f(x) = a|x - h| + k

Where

Vertex = (h, k)

From the graph, we have

Vertex = (h, k) = (-1, 1)

So, we have

f(x) = a|x + 1| + 1

Solving for a, we have

a|0 + 1| + 1 = 0

This gives

a = -1

So, we have

f(x) = -|x + 1| + 1

Hence, the equation of the graph is f(x) = -|x + 1| + 1

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A seal went 25 feet below sea level to catch a fish. A sea lion dove 10 feet less than three times as deep as the seal to catch a larger fish. Which expression represents the sea lion’s position in relation to sea level?
3(25) – 10
25 – 3(10)
3(–25) – 10
3(–25) – (–10)

Answers

The expression that represents the depth reached by the sea lion, relative to the sea level is the option;

3·(-25) - (-10)

What is an expression?

An expression consists of a combination of variables and numbers that are arranged according to the rules with which the operators joining the variables and numbers operate.

The depth reached by the seal = 25 feet

The depth of the seal in relation to the sea level = -25 feet

The depth reached by the sea lion to catch a larger fish = 10 feet less than three times as deep as the seal.

Three times as deep as reached by the seal = 3 × -25 = -75 feet

10 feet less than three times as deep as reached by the seal = -75 feet + 10 feet = -65 feet

Therefore, the depth reached by the sea lion = 3 × (-25) + 10 = 3 × (-25) - (-10)

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You set up your computer so that your elbows are at about 90 degrees and your viewing distance is 18 to 28 inches. What scientific principle are you using to ensure your comfort and safety while using the computer

Answers

Ergonomic principles are you using to ensure your comfort and safety while using the computer

Ergonomics is the science of designing and arranging the workplace or equipment to fit the capabilities and limitations of the user. It aims to optimize the interaction between people and their environment to enhance comfort, efficiency, and safety.

Setting up the computer with the elbows at approximately 90 degrees and maintaining a viewing distance of 18 to 28 inches aligns with ergonomic guidelines for proper posture and viewing ergonomics. This setup promotes a neutral and relaxed position for the arms, wrists, and shoulders, reducing the risk of strain and discomfort.

The recommended viewing distance of 18 to 28 inches also ensures that the screen is positioned at an appropriate distance to minimize eye strain and promote clear and comfortable viewing.

By following these ergonomic principles, individuals can help prevent musculoskeletal issues, eye strain, and other discomfort associated with prolonged computer use, thus promoting both comfort and safety.

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From the perspective of a biologist, evolution is one of the unifying ____________ , or a widely accepted explanation for how the natural world works.

Answers

From the perspective of a biologist, evolution is one of the unifying theories, or a widely accepted explanation for how the natural world works.

It provides a comprehensive framework that ties together various fields of biology, including genetics, ecology, paleontology, and molecular biology. Evolutionary theory explains the diversity of life on Earth, the patterns of adaptation and biodiversity, and the processes underlying the origin and change of species over time.

Evolution is considered a unifying theory because it provides a common thread that connects seemingly disparate biological phenomena. It explains the similarities and differences observed among organisms, showing how they are products of a shared history of descent with modification. By studying the mechanisms of evolution, such as natural selection, genetic drift, and mutation, biologists can elucidate the processes that shape the characteristics and behaviors of living organisms.

Furthermore, evolution offers a unifying explanation for the remarkable complexity and diversity of life. It demonstrates how simple, self-replicating molecules could have given rise to the intricate web of interconnected organisms we observe today through gradual changes over immense periods of time. It explains the development of anatomical structures, the emergence of new species, the adaptation to different environments, and the formation of complex ecosystems.

Evolutionary theory also has practical implications in various biological disciplines. It informs the understanding and management of biodiversity, conservation biology, and ecosystem dynamics. It plays a crucial role in agriculture, medicine, and biotechnology by helping to comprehend the mechanisms of disease, drug resistance, and genetic engineering.

In summary, evolution is a unifying theory that provides a powerful explanatory framework for understanding the natural world. It connects diverse areas of biology, sheds light on the history and diversity of life, and has practical applications in numerous fields. Its acceptance and integration into biological research have greatly advanced our understanding of the living world and continue to shape our knowledge and discoveries.

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Se repartirán $2 200.00 en premios a los tres primeros lugares de una carrera de automóviles, de tal manera que el primer lugar reciba la mayor parte del monto. ¿Cuánto le corresponde a cada uno?

Answers

El primer lugar recibe $1,100.00, el segundo y tercer lugar reciben $550.00 cada uno.

Para repartir $2,200.00 en premios a los tres primeros lugares de una carrera de automóviles, donde el primer lugar recibe la mayor parte del monto, podemos utilizar una proporción para distribuir los premios de manera justa.

Supongamos que el primer lugar recibe una cantidad "x" de dinero. Entonces, el segundo lugar recibiría una fracción de "x" y el tercer lugar recibiría una fracción menor aún.

Una forma común de distribuir los premios en este escenario es utilizar una proporción de 2:1:1, donde el primer lugar recibe el doble que el segundo y tercer lugar. Podemos calcular la cantidad correspondiente a cada posición de la siguiente manera:

Primer lugar: x

Segundo lugar: (1/2)x

Tercer lugar: (1/2)x

La suma de estos tres montos debe ser igual a $2,200.00:

x + (1/2)x + (1/2)x = $2,200.00

Simplificando la ecuación:

2x + x + x = $2,200.00

4x = $2,200.00

x = $550.00

Entonces, el primer lugar recibirá $550.00, el segundo lugar recibirá (1/2)$550.00 = $275.00, y el tercer lugar también recibirá (1/2)$550.00 = $275.00.

Por lo tanto, la distribución de los premios sería la siguiente:

Primer lugar: $550.00

Segundo lugar: $275.00

Tercer lugar: $275.00

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QUESTION 2 2.1 If x= 229,5° and y = 117,6°, determine to two decimal places the values of: 2.1.1 sin(x + y) 2.1.2cosec x​

Answers

Answer:

Step-by-step explanation:

2.1.1

Using the identity:

sin(x + y) = sinx cosy + cosx siny

sin (x + y) = sin229.5 cos117.6 + cos 229.5 sin 117.6

                = -0.760406 * -0.463296 +  -0.649448* 0.886204

                = -0.2233

                = -0.22 to 2 D.P's.

2.1.2

cosec x = 1 / sin x

so cosec 229,5 = 1/(-0.76046)

                           = -1.315

                           =  -1.32  to 2 D.P's.

what is a control group? an experimental group? how many testing variables (independent variables) should be included

Answers

A control group is a group of subjects in an experiment that does not receive any treatment or intervention under investigation. The control group is used as a baseline to compare the outcomes of the experimental group that receives the treatment or intervention.

An experimental group is a group of subjects in an experiment that receives the treatment or intervention under investigation. The experimental group is used to measure the effect of the treatment or intervention on the outcome variable(s) of interest.

The number of testing variables (independent variables) that should be included in an experiment depends on the research question and the hypothesis being tested. In general, it is better to limit the number of independent variables to one or a few in order to isolate the effect of each variable on the outcome(s) of interest. This allows for better control of extraneous variables and increases the internal validity of the study. However, there may be situations where multiple independent variables need to be tested simultaneously in order to answer the research question or hypothesis being investigated. In such cases, a factorial design may be used to test multiple independent variables.

Leonard, who is in third grade, was initially unable to grasp the concepts taught in his math classes. However, with additional help from his parents and increased practice, he was able to improve his math skills. According to Erik Erikson's theory of psychosocial development, by successfully resolving this crisis, Leonard acquired the virtue of

Answers

Answer: competence

Step-by-step explanation:

Erik Erikson developed a theory of psychosocial development. Erikson believed that a sense of competence motivates behaviors and actions. He also proposed that we are motivated by the need to achieve competencein certain areas of our lives.

2 Tables. A 2-column table with 4 rows is titled Table 1. Column 1 has entries 2, 4, 6, 8. Column 2 has entries 3, 6, 9, 12. A 2-column table with 4 rows is titled Table 2. Column 1 has entries 5, 10, 15, 20. Column 2 has entries 6, 12, 18, 24. Compare the ratios from the tables. 2:3 is 5:6 10:12 is 6:9 The ratios in Table 1 are the ratios in Table 2.

Answers

The ratio 2:3 is less than 5:6 , 10:12 is greater than 6:9 and Ratios in Table 1 are less than the ratios in Table 2

Ratio of Values

The ratio of two values can be expressed as a decimal in other to vividly compare them in terms of magnitude .

Comparing the pair of ratios ;

2:3 and 5:6

2:3 = 2/3 = 0.667 ;

5:6 = 5/6 = 0.833

0.833 is greater than 0.667

10:12 and 6:9

10:12 = 10/12 = 0.833

6:9 = 6/9 = 0.667

0.667 is less than 0.833

8:12 and 20:24

8:12 = 8/12 = 0.667

20:24 = 20/24 = 0.833

The ratio values for Table 1 is 0.667 while that of table 2 is 0.833 .

Therefore, 2:3 is less than 5:6 , 10:12 is greater than 6:9 and Ratios in Table 1 are less than the ratios in Table 2.

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The four key features used in describing a graphical display of a quantitative variable are the
Shape: Is the distribution symmetric or skewed? Are there multiple 'peaks?'
Center: What seems to be a 'typical' range of values?
Spread: How variable is the data set?
Outliers/unusual features: Are there any other odd things to note?

Answers

We can gain a comprehensive understanding of the distribution and characteristics of a quantitative variable.

What is variable?

In mathematics, a variable is referred to as the alphanumeric symbol used to represent a number or numerical value. An unknown quantity is represented as a variable in algebraic equations. From a to z, these variables can be any alphabet.

The four key features used in describing a graphical display of a quantitative variable are:

1. Shape: The shape of the distribution refers to whether it is symmetric or skewed. A symmetric distribution has a similar shape on both sides of the center, while a skewed distribution is asymmetrical, with one tail longer or stretched out compared to the other. Additionally, the shape can also indicate whether there are multiple peaks or modes in the distribution.

2. Center: The center of the distribution represents the typical or average range of values. It is often described using measures such as the mean, median, or mode. These measures provide information about the central tendency of the data.

3. Spread: The spread, also known as variability or dispersion, describes how much the data points deviate from the center. It provides information about the range or extent of values in the dataset. Common measures of spread include the range, interquartile range (IQR), variance, and standard deviation.

4. Outliers/Unusual features: Outliers are data points that significantly deviate from the rest of the dataset. They can indicate extreme values or errors in measurement. Unusual features refer to any other noteworthy characteristics or patterns observed in the data, such as clusters, gaps, or unusual shapes that do not conform to a typical distribution.

By considering these four key features, we can gain a comprehensive understanding of the distribution and characteristics of a quantitative variable.

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The four key features used in describing a graphical display of a quantitative variable are the:

Shape: Is the distribution symmetric or skewed? Are there multiple 'peaks?'

Center: What seems to be a 'typical' range of values?

Spread: How variable is the data set?

Outliers/unusual features: Are there any other odd things to note?

The conditional operator ( ?:): Is a unary operator. Associates from left to right. Accepts two operands. Is the only ternary operator in C++.

Answers

The conditional operator (?:) is equal to option d. in C++ is indeed a ternary operator.

The correct statements are,

The conditional operator (?:) is not a unary operator.

It is a ternary operator because it takes three operands.

First option is incorrect.

The conditional operator associates from left to right,

Meaning that the leftmost operand is evaluated first, followed by the middle and rightmost operands.

The conditional operator accepts three operands,

a condition, an expression to evaluate if the condition is true, and an expression to evaluate if the condition is false.

It is wrong option.

The conditional operator is the only ternary operator in C++.

it is a correct option.

Therefore, the correct answer to represents the conditional operator ( ?:):  is given by ,

option d. The conditional operator (?:) is the only ternary operator in C++.

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What are sheets that are preprinted with a series of frames in the shape of TV screens, which include text of the commercial and sound effects

Answers

Preprinted sheets with a series of frames in the shape of TV screens, including commercial text and sound effects, are known as storyboard sheets.

Storyboard sheets are visual tools used in the pre-production phase of creating commercials, films, or animations. They consist of a series of rectangular frames resembling TV screens, printed on a sheet. Each frame represents a scene or shot, and within the frames, the preprinted text describes the commercial content or dialogue.

Additionally, sound effects may be included to further enhance the storytelling. These sheets serve as a blueprint for the production team, allowing them to plan and visualize the sequence of shots, camera angles, and timing of the commercial. By using storyboard sheets, filmmakers can effectively communicate their creative vision, ensure consistency in storytelling, and facilitate collaboration between different departments involved in the production process.

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Hamiltonian Federalists, Wilsonian Democrats, and New Dealers wanted the government to play a significant role in the American economy. What did each group want the government to do

Answers

The Hamiltonian Federalists, Wilsonian Democrats, and New Dealers all advocated for a significant government role in the American economy.

Hamiltonian Federalists aimed for a strong central government that would promote economic development, Wilsonian Democrats sought progressive reforms and economic regulation, while New Dealers aimed for government intervention and social welfare programs.

Hamiltonian Federalists, led by Alexander Hamilton, believed in a strong central government with the power to shape and promote economic development. They advocated for policies such as a national bank, protective tariffs, and infrastructure development to stimulate industry and trade. Wilsonian Democrats, influenced by President Woodrow Wilson, aimed for progressive price and economic regulation.

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a stock has an expected return of 10.5 percent, its beta is 1.00, and the risk-free rate is 6.25 percent. what must the expected return on the market be? (do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) market expected return %

Answers

The expected return on the market must be 10.5 percent, according to the given values.

Expected return is a measure used in finance to calculate the average return an investment is expected to generate over a specific period. It is a weighted average of the possible returns, where each return is multiplied by its respective probability.

The expected return on a stock can be determined using the capital asset pricing model (CAPM), which relates the expected return of an asset to its beta and the expected return of the market. The formula for the CAPM is as follows:

Expected Return = Risk-Free Rate + Beta * (Market Expected Return - Risk-Free Rate). In this case, the stock has an expected return of 10.5 percent, a beta of 1.00, and the risk-free rate is 6.25 percent. Let's denote the market expected return as "M."

Plugging in the values into the CAPM formula: 10.5% = 6.25% + 1.00 * (M - 6.25%).

Simplifying the equation:

10.5% - 6.25% = M - 6.25%

4.25% = M - 6.25%

M = 4.25% + 6.25%

M = 10.5%

Therefore, the expected return on the market must be 10.5 percent in order to be consistent with the given information.

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if the bearing of x from y is 347°.find the bearing of y from x​

Answers

If the bearing of x from y is 347°, then the bearing of y from x is 180° different from this, or:

Bearing of y from x = 347° - 180°

Bearing of y from x = 167°

Therefore, the bearing of y from x is 167°.

You own a bond that has a duration of 6 years. Interest rates are currently 7%, but you believe the Fed is about to increase interest rates by 30 basis points. Your predicted price change on this bond is

Answers

On the given duration and the expected increase in interest rates, the predicted price change on the bond is approximately -1.68%.

To estimate the predicted price change on a bond given a change in interest rates, you can use the concept of bond duration. Bond duration measures the sensitivity of a bond's price to changes in interest rates.

In this case, you own a bond with a duration of 6 years, and you expect the interest rates to increase by 30 basis points (0.30%). To calculate the approximate percentage change in bond price, you can use the following formula:

Percentage Change in Bond Price [tex]^\sim_\sim[/tex] - (Modified Duration × Change in Interest Rates)

Modified Duration is calculated as:

Modified Duration = Duration / (1 + Yield)

Here, the Yield refers to the yield to maturity (YTM) of the bond, which is equivalent to the interest rate in this case.

Let's assume the bond's yield to maturity is 7% (0.07). Now we can calculate the modified duration and the predicted price change:

Modified Duration = 6 years / (1 + 0.07) = 5.6075

Percentage Change in Bond Price [tex]^\sim_\sim[/tex] - (5.6075 × 0.0030) [tex]^\sim_\sim[/tex] -0.0168 or approximately -1.68%

Therefore, based on the given duration and the expected increase in interest rates, the predicted price change on the bond is approximately -1.68%. Note that this is an estimation, and actual price changes may depend on various other factors and market conditions.

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PLEASE HELP 25 POINTS, state the slope

Answers

Answer:

The slope is -1.

Step-by-step explanation:

The slope of a line passing through two coordinates can be calculated using the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

Let's say the two coordinates are (x1, y1) and (x2, y2). The slope can be calculated as:

slope = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

This formula represents the change in the y-coordinates divided by the change in the x-coordinates between the two points.

Here y2 = -3, y1 = 0, x2 = 0, x1 = -3

So, slope = (-3-0)/(0-(-3)) = -1

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It is -1 I hope it is correct if u are looking for this

ar a california college 19% speak spanish and 7% speak french and 4% speak both, what is the probabilty that the student does not speak french

Answers

Given that 7% of students at a California college speak French and 4% speak both Spanish and French, we can calculate the probability that a student does not speak French.

To find the probability that a student does not speak French, we need to subtract the percentage of students who speak French (including those who speak both Spanish and French) from 100%.

Let's denote the probability of speaking French as P(F), the probability of speaking Spanish as P(S), and the probability of speaking both Spanish and French as P(S∩F).

From the given information, P(F) = 7% and P(S∩F) = 4%.

To calculate the probability of not speaking French, we can use the principle of complements. The probability of not speaking French (P(not F)) is equal to 1 minus the probability of speaking French:

P(not F) = 1 - P(F)

P(not F) = 1 - 7% = 93%

Therefore, the probability that a student does not speak French is 93%.

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Rob and Julie, both in their 30s, file a joint income tax return for 2021. Rob's wages are $25,000 and Julie's wages are $110,000 for the year. Their total adjusted gross income is $135,000, and Julie is covered by a qualified pension plan at work but Rob is not. What is the maximum amount that Rob may deduct for contributions to his Roth individual retirement account

Answers

The maximum amount that Rob may deduct up to $6,000 for contributions to his Roth IRA for the tax year 2021.

The maximum amount that Rob may deduct for contributions to his Roth Individual Retirement Account (IRA), we need to consider the eligibility and contribution limits for Roth IRAs.

In 2021, the contribution limit for Roth IRAs is based on the individual's income and filing status. For individuals filing jointly, the contribution limit begins to phase out once their modified adjusted gross income (MAGI) exceeds a certain threshold.

For the tax year 2021, the contribution limit phase-out for Roth IRAs begins at a MAGI of $198,000 for couples filing jointly. The contribution limit is reduced gradually until it reaches zero at a MAGI of $208,000 or higher.

Given that Rob and Julie's total adjusted gross income (AGI) is $135,000 and Rob's wages are $25,000, we can assume that their MAGI is equal to their AGI since no other deductions or adjustments are mentioned.

Since their MAGI of $135,000 is well below the phase-out threshold of $198,000, Rob is eligible to contribute the full amount to his Roth IRA.

For the tax year 2021, the maximum contribution limit for individuals under the age of 50 is $6,000. However, individuals who are 50 years or older can make an additional catch-up contribution of $1,000, making their total contribution limit $7,000.

Therefore, Rob may deduct up to $6,000 for contributions to his Roth IRA for the tax year 2021.

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Which of the following statements is true regarding the influence of a small alpha level in the context of hypothesis testing? O a. A small alpha level reduces the effect size. O b. A small alpha level increases statistical power. c. A small alpha level reduces the likelihood of a Type I error. O d. A small alpha level increases the likelihood of detecting statistical significance

Answers

The influence of a small alpha level in the context of hypothesis testing is:

c. A small alpha level reduces the likelihood of a Type I error.

What is null hypothesis?

A hypothesis known as the null hypothesis states that sample observations are the result of chance.

The correct statement regarding the influence of a small alpha level in the context of hypothesis testing is:

c. A small alpha level reduces the likelihood of a Type I error.

A small alpha level (typically denoted as α) is the significance level used in hypothesis testing to determine the threshold for rejecting the null hypothesis. By setting a small alpha level, such as 0.01 or 0.05, we are reducing the probability of making a Type I error, which is the incorrect rejection of a true null hypothesis.

In other words, a small alpha level provides a stricter criterion for rejecting the null hypothesis, making it less likely to reject the null hypothesis when it is true. This reduces the likelihood of claiming a significant result when there is no true effect or relationship in the population.

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in baseball, the batting average is the number of hits over the number of at bats. player a has a greater batting average than player b in the first half of the season and the second half of the season. is it possible that player b would have a higher batting average for the entire season?

Answers

No, it is not possible for Player B to have a higher batting average for the entire season if Player A has a greater batting average in both the first and second halves of the season.

Since Player A has a greater batting average in both halves of the season, it means that Player A has more hits per at-bat compared to Player B in each half. Therefore, Player A would have a higher overall average for the entire season.

If Player B were to have a higher batting average for the entire season, it would mean that Player B performed significantly better in the second half compared to the first half to offset the lower average in the first half. However, the given information states that Player A has a higher average in both halves, making it impossible for Player B to have a higher average for the entire season.

Therefore, the answer is that it is not possible for Player B to have a higher batting average for the entire season.

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What is the nth term of the pattern of the even numbers greater than 1 but less than 200 written in ascending order? the smallest value of n is 1 what is its largest value?

Answers

The largest value of of the pattern n is 99.

The pattern of the even numbers greater than 1 but less than 200 written in ascending order can be represented as 2, 4, 6, 8, ..., 198.

To find the nth term of this pattern, we can use the formula

nth term = 2 + (n - 1) × 2

This formula calculates the nth term by multiplying (n - 1) by the common difference of 2 and adding it to the first term, which is 2 in this case.

To find the largest value of n, we need to find the value of n that corresponds to the last term in the pattern, which is 198.

Setting up the equation

198 = 2 + (n - 1) × 2

Subtracting 2 from both sides

196 = (n - 1) × 2

Dividing both sides by 2

98 = n - 1

Adding 1 to both sides

99 = n

Therefore, the largest value of n is 99.

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Pls Help! I can't find the answer to this question!
The probability of event A is x, and the probability of event B is y. If the two events are independent, which condition must be true?
A. P(A | B) = y
B. P(B | A) = x
C. P(B | A) = xy
D. P(A | B) = x

Answers

Answer:

Step-by-step explanation:

Using the MACRS rates from the following table,


what is the book value of a $3,500 computer after 4


years?


Year MACRS Rate


1


20. 0 %


2 32. 0 %


3 19. 2 %


4 11. 52 %


5 11. 52 %


book value = [?]


Round to the nearest hundredth.

Answers

The depriciated book value of the $3,500 computer after 4 years is approximately $1,361.23.

To find the book value of a $3,500 computer after 4 years using the given MACRS rates, we need to calculate the accumulated depreciation.

The MACRS rates are as follows:

Year 1: 20.0%

Year 2: 32.0%

Year 3: 19.2%

Year 4: 11.52%

Year 5: 11.52%

We will calculate the accumulated depreciation year by year and subtract it from the initial value of the computer.

Year 1:

Depreciation = MACRS rate (20.0%) * Initial value ($3,500) = $700

Book value after Year 1 = Initial value ($3,500) - Depreciation ($700) = $2,800

Year 2:

Depreciation = MACRS rate (32.0%) * Book value after Year 1 ($2,800) = $896

Book value after Year 2 = Book value after Year 1 ($2,800) - Depreciation ($896) = $1,904

Year 3:

Depreciation = MACRS rate (19.2%) * Book value after Year 2 ($1,904) = $365.57 (rounded to the nearest hundredth)

Book value after Year 3 = Book value after Year 2 ($1,904) - Depreciation ($365.57) = $1,538.43

Year 4:

Depreciation = MACRS rate (11.52%) * Book value after Year 3 ($1,538.43) = $177.20 (rounded to the nearest hundredth)

Book value after Year 4 = Book value after Year 3 ($1,538.43) - Depreciation ($177.20) = $1,361.23

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Find the side length of a cube with a volume of 551m^(3).
If necessary, round your answer to the nearest tenth.

Answers

The side length of a cube with a volume of 551m^3 is approximately 8.8 meters. This calculation can be done using the formula V = s^3 and taking the cube root of the volume.

To find the side length of a cube with a volume of 551m^3, we can use the formula for the volume of a cube, which is V = s^3, where V is the volume and s is the length of one side of the cube.

We can solve for s by taking the cube root of the volume, since s^3 = V.

Using a calculator, we can find the cube root of 551 to be approximately 8.796. Therefore, the length of one side of the cube is approximately 8.8 meters, rounded to the nearest tenth.

It's important to note that in this case, the volume is given in cubic meters, so the side length will also be in meters. It's important to keep units consistent when working with formulas and equations.

In summary, the side length of a cube with a volume of 551m^3 is approximately 8.8 meters. This calculation can be done using the formula V = s^3 and taking the cube root of the volume.

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Water flows through a pipe at a rate of
330 millilitres per second (ml/s).
Convert this rate into litres per hour.
If your answer is a decimal, give it to 1 d.p.
27

Answers

If 330 milliliters is flowing per second.

Then in one minute 19800ml would flow.

And in one hour 1188000ml.

To convert this into litres. Divide it by 1000

1188000ml/s ÷ 1000

= 1188 liters per hour

Final answer:

The rate of 330 ml/s converts to 1188.0 liters/hour, after converting milliliters to liters and seconds to hours.

Explanation:

The question requires to convert a given rate of water flowing through a pipe from milliliters per second to liters per hour. It is given that water is flowing at a rate of 330 milliliters per second (ml/s). To convert it into liters, remember that 1 liter equals 1000 milliliters.

So in this case, the amount of water flowing per second in liters is 330 ml/s / 1000 = 0.33 liters/second.

There are 3600 seconds in one hour, to convert this rate into liters per hour we need to multiply by 3600. So, 0.33 liters/second x 3600 = 1188 liters/hour. Rounded to 1 d.p, it equals to 1188.0 liters/hour.

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A student weight 400n take 5sec to claimed up of h of 2 calculate the power

Answers

The power required for a student to climb a height of 2 meters in 5 seconds, while weighing 400 Newtons, can be calculated.

Power is defined as the rate at which work is done or energy is transferred. To calculate power, we need to determine the amount of work done and divide it by the time taken. In this case, the work done is equal to the product of force and displacement. The force is the weight of the student, which is 400 Newtons, and the displacement is the height climbed, which is 2 meters. The work done would be 400 Newtons multiplied by 2 meters, resulting in 800 Joules. To calculate power, we divide the work done (800 Joules) by the time taken (5 seconds), which gives us a power of 160 Watts. Therefore, the power required for the student to climb a height of 2 meters in 5 seconds is 160 Watts.

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