Kimble is trying to decide between two checking account plans. Plan A offers a quarterly compound interest rate of 0.5%, while plan b offers a 3.5% interest compound annually. Which is the better plan? By how much?

The lowest price of the product that gives a monthly profit of $1550 is $25.

To find the lowest price of the product that gives a monthly profit of $1550, we can substitute P = 1550 into the profit equation P = -x + 105x - 1050 and solve for x.

P = -x + 105x - 1050

1550 = -x + 105x - 1050 (Substitute P = 1550)

1550 + x = 105x - 1050 (Add x to both sides)

x + 1050 = 105x - 1550 (Add 1550 to both sides)

1050 = 105x - x - 1550 (Rearrange terms)

1050 = 104x - 1550 (Combine like terms)

1050 + 1550 = 104x (Add 1550 to both sides)

2600 = 104x (Combine like terms)

2600/104 = x (Divide both sides by 104)

25 = x (Simplify)

So, the lowest price of the product that gives a monthly profit of $1550 is $25.

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The estimate of the annual snowfall in 78th year is 29.88 inches. The Option C.

Using the given information, we can use the linear equation y = mx + b, where y represents the annual snowfall and x represents the number of years since 1920.

The initial measurement in 1920 was 48.6 inches, so b = 48.6.

The decrease in annual snowfall is 0.24 inches per year, so m = -0.24.

The equation is y = -0.24x + 48.6.

We will plug in x = 78 into the equation and solve for y:

y = -0.24(78) + 48.6

y = -18.72 + 48.6

y = 29.88.

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The IQR is the best measure of variability, and it equals 3.

The appropriate measure of variability for the data in the box plot is the interquartile range (IQR), which is a measure of the spread of the middle 50% of the data.

From the box plot, we can see that the lower quartile (Q1) is located at 17, the upper quartile (Q3) is located at 20, and the median is located at 19. The IQR can be calculated as the difference between the upper and lower quartiles:

IQR = Q3 - Q1 = 20 - 17 = 3

Therefore, the IQR is 3 and it is the best measure of variability for the given data. The range, which is the difference between the maximum and minimum values (24 - 12 = 12), is not the best measure of variability in this case because it is affected by extreme values that may not be representative of the typical spread of the data.

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Answer: 24 inches.

Step-by-step explanation:

We can use the formula for the area of a triangle to solve for the length of the base:

A = (1/2)bh

where:

A = the area of the triangle (in this case, 72 square inches)

b = the length of the base (what we're trying to find)

h = the height of the triangle (in this case, 6 inches)

Plugging in the values we know, we get:

72 = (1/2)b(6)

72 = 3b

b = 24

Therefore, the length of the base of the triangle is 24 inches.

The expression 1,436,492÷2 has a value of 718246 when evaluated because we divided the numbers

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

1,436,492÷2

The above statement is a quotient expression that divide the values of 1,436,492 and 2

Also, there is no need to check if there are like terms in the expression or not

This is  because we are dividing the factors

So, we have

1,436,492÷2 = 718246

This means that the value of the expression is 718246

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The expression (4d + 7) + (4d² + 8d + 9) simplifies to 4d² + 12d + 16.

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

(4d + 7) + (4d² + 8d + 9)

We can simplify the expression by combining like terms:

(4d + 7) + (4d² + 8d + 9) = 4d² + (4d + 8d) + (7 + 9)

= 4d² + 12d + 16

Therefore, (4d + 7) + (4d² + 8d + 9) simplifies to 4d² + 12d + 16.

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Answer:

9/4.

Step-by-step explanation:

Hope this helps! =D

die

Step-by-step explanation:

The degree measure of the smaller angle formed by the hour and minute hands of a 12-hour clock at 2:48 is 85 degrees.

The hour hand is between the 2 and the 3, and since it's 2:48, it's closer to the 3. To be more precise, it's at 2.8 on the clock face .

The minute hand is pointing at the 8, as it's 48 minutes past the hour.

To find the angle between the hands, we need to find the difference between their positions and multiply it by 30 .

So the angle formed by the hour and minute hands at 2:48 is:

| 30 × (2.8/12 - 8) | = | -85 | = 85 degrees.

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The value of the surd form √14 is 3. 74

The square root of a number is a value that, when multiplied by itself, equals the original number.

It is represented by the symbol √ and is a way to find the side length of a square given its area or the length of a diagonal in a right triangle.

From the information given, we have that;

The expression is √14

We can see that the value √14 is a surd which can no longer be simplified into a whole or rational number.

To determine the square root, we use the calculator

√14

3. 7416

In the nearest tenth, we get;

3. 74

Hence, the value is 3. 74

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Answer: Parallelogram

Step-by-step explanation: A parallelogram is a quadrilateral with opposite sides parallel. If ZL, ZM, ZN, and ZO are approximately equal, it implies that the opposite sides LM and NO are parallel, and the opposite sides LO and MN are also parallel.

It may not be a rectangle: While a parallelogram is a quadrilateral with opposite sides parallel, a rectangle is a special type of parallelogram with additional properties, such as all angles being right angles. The given information does not provide any information about the angles of the quadrilateral, so we cannot conclude that it is a rectangle.

It may not be a rhombus: A rhombus is a special type of parallelogram in which all sides are equal. The given information only states that the angles ZL, ZM, ZN, and ZO are approximately equal, but it does not provide any information about the lengths of the sides LM, LO, MN, or NO. Therefore, we cannot conclude that LMNO is a rhombus based solely on the given information.

Answer:

195.5 sq. ft.

Step-by-step explanation:

If you ever wondered how to find the area of your kitchen floor using a scale drawing, you're in luck! I'm going to show you how to do it in a few easy steps. First, you need to know the scale factor, which is the ratio of the scale drawing to the actual floor. In this case, the scale factor is 1 in = 2 ft, which means that one inch on the paper is equal to two feet on the ground. Pretty neat, huh?

Next, you need to multiply the scale drawing dimensions by the scale factor to get the actual floor dimensions. For example, if the scale drawing is 5 3/4 inches long and 8 1/2 inches wide, you multiply those numbers by 2 to get 11 1/2 feet long and 17 feet wide. That's how big your kitchen floor really is!

Finally, you need to multiply the actual floor dimensions to get the area of the floor. This is where it gets tricky, because you have to deal with fractions and decimals. But don't worry, I'll walk you through it. You can use the distributive property to multiply two numbers with fractions. For example, (11 1/2) x (17) = (11 x 17) + (1/2 x 17) = 187 + 8.5 = 195.5. That's the answer! Your kitchen floor has an area of 195.5 square feet. Congratulations, you just learned how to use a scale drawing to find the area of your kitchen floor!

I hope you enjoyed this lesson and found it funny. If not, maybe you should try a different scale factor or a different kitchen. Just kidding!

Answer:

4 or ≈ 12.6

Step-by-step explanation:

L = r * θ

r = 12

θ = 60 = (/3) when converted to radians by multiplying (/180)

then multiply

(/3)*12 = 4 or ≈ 12.6

Answer:

D) a trapezoid with congruent diagnols

Explanation:

When none of the sides of a trapezoid are congruent, then it is a non isosceles trapezoid or a scalene trapezoid.

Answer: 136

Step-by-step explanation: it's the only big number

The general form of the equation is x² + y² - 10x - 12y + 60 = 0.

The general form of the equation of a circle is given by:

x² + y² + Cx + Dy + E = 0

Where C, D and E are constant

Given the standard form of the equation of a circle as (x−5)² + (y−6)² = 1, we can rewrite it as follow:

(x−5)² + (y−6)² = 1

(x² - 10x + 25) + (y² - 12y + 36) = 1        (Expand the brackets)

x² + y² - 10x - 12y + 25 + 36 - 1 = 0

x² + y² - 10x - 12y + 60 = 0

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The train travels a distance of 120 kilometers.

To calculate the distance traveled by the train, we can use the formula:

Distance = Speed × Time

Given that the train travels at a consistent speed of 480 km/h and the time is one-fourth of an hour, we can substitute these values into the formula:

Distance = 480 km/h × (1/4) hour

To simplify the calculation, we can convert one-fourth of an hour to minutes. Since there are 60 minutes in an hour, one-fourth of an hour is equal to (1/4) × 60 minutes = 15 minutes.

Now, we can calculate the distance:

Distance = 480 km/h × (1/4) hour

= 480 km/h × (1/4) × 60 minutes / 60 (converting hours to minutes)

= 480 km/h × 15 minutes / 60

= 480 km/h × 0.25

= 120 km

Therefore, distance travelled by train is 120 kilometers.

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The two solutions that satisfy the equation 3x^2 + 2x = 6 when rounded to two decimal places are x = 1.12 and x = −1.79. So, correct option is A.

To solve for x in the equation 3x^2 + 2x = 6, we need to rearrange the terms and use the quadratic formula:

3x^2 + 2x - 6 = 0 (subtract 6 from both sides)

x = (-b ± √(b^2 - 4ac)) / 2a (quadratic formula)

In this equation, a = 3, b = 2, and c = -6, so we can substitute those values into the quadratic formula:

x = (-2 ± √(2^2 - 4(3)(-6))) / 2(3)

x = (-2 ± √(4 + 72)) / 6

x = (-2 ± √(76)) / 6

Simplifying this expression, we get:

x = (-2 ± 2√(19)) / 6

x = (-1 ± √(19)) / 3

Rounding these solutions to two decimal places, we get:

x = -1.79 or x = 1.12

Therefore, the answer is (a) x = 1.12 and x = -1.79.

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Answer:

x = 1.12 and x = −1.79

Step-by-step explanation:

i got it right on my quiz

The population size of the fish species after 5 years is approximately 99.

The population size of the fish species after t years is given by the exponential function P(t)=510(0.72)^t. To find the population size, we simply need to substitute the given value of t in the equation.

For example, if we want to find the population size after 5 years, we substitute t=5 in the equation:

P(5) = 510(0.72)^5

P(5) = 510*0.1934917632

P(5) = 98.680799232

P(5) ≈ 99.

Therefore, the population size of the fish species after 5 years is approximately 99.

We can determine whether the population is growing or decaying by examining the value of the base of the exponential function, which is 0.72 in this case. Since the base is less than 1, we know that the exponential function represents exponential decay. This means that the population of the fish species in the lake is decreasing over time, and the rate of decrease is determined by the value of the base. In this case, the population is decreasing by a factor of 0.72 each year.

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When the temperature increases and the water vapor content in the air stays the same, the relative humidity decreases. This is because warmer air can hold more moisture than colder air, and therefore the ratio of the actual amount of water vapor in the air to the maximum amount of water vapor that the air can hold decreases as the air temperature increases.

Relative humidity depends on two factors: the amount of water vapor present in the air and the maximum amount of water vapor that the air can hold at a given temperature. As the temperature rises, so does the amount of water vapor that the air can hold, since warm air has more energy to hold the water molecules in vapor form. This reduces the ratio of the actual amount of water vapor in the air to the maximum amount of water vapor the air can hold, resulting in lower relative humidity.

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The probability for the possibility on a failing the exam is  1/3 , shown on the scale.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Any collection of results constitutes an event. Events are represented by capital letters, such as A and B. For instance, if the experiment involves flipping a single fair coin, event A might only receive one head. P(A) represents the probability of an event A.

Given that-

probability = number of favourable outcome / total outcome

number of favourable outcome = 1

number of total outcome = 3

probability = 1/3

Thus, the probability for the possibility on a  failing exam is 1/3 , shown on the scale.

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The correct vocab in written as;

DC = semi-circle

<ECD = minor arc

<ECF = point of tangency

CF = chord

To determine the corresponding terms, we need to take note of the following definitions;

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The IQR for both runs is 8 minutes.

If there are outliers or extreme values ​​in the data set, we summarize the typical value using the median instead of the mean. When there are outliers in a data set, the variation is often summarized by a statistic called the interquartile range, which is the difference between the first and third quartiles.

 Based on the given box pairs, we can make the following comparisons:

The average wait time at Thrill Tower is about 5 minutes shorter than the average wait time at River Rapids. That's because the centerline of Thrill Tower is  about 5 units below the centerline of River Rapids.  The IQR (interquartile range) for both times is not  directly in the box. However, we can estimate this by finding the distance between the first quartile (Q1) and the third quartile (Q3) of each run. From the box plot of Thrill Tower, we can see that Q1 is around 6 and Q3 is around 14. Therefore, the IQR for Thrill Tower is:

 Thrill Tower IQR = Q3 - Q1 = 14 - 6 = 8 minutes

From the box plot for River Rapids, we can see that Q1 is about 8 and Q3 is about 16. Therefore, the IQR for River Rapids is:

 River Rapids IQR = Q3 - Q1 = 16 - 8 = 8 minutes

Therefore, the IQR for both runs is 8 minutes.

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Answer: HERE IS THE ANSWER BELOW :)

Answer:

If the expected value of the game is 5.6, this means that on average you can expect to earn 5.6 points per game if you were to play the game many times. However, since the point values available in the game are 20, 10, and 2, you cannot earn exactly 5.6 points in any single game.

Instead, over many games, the average number of points you would earn per game would approach the expected value of 5.6. For example, if you played the game 100 times, you might earn 2000 points if you got 20 points every time, 1000 points if you got 10 points every time, or 200 points if you got 2 points every time. But if you averaged your points across all 100 games, the average should be close to the expected value of 5.6 points per game.

The following are the correct vertical translation and you can use this information to fill the table in the picture:

A vertical translation refers to a type of transformation that moves a function or graph vertically up or down without changing its shape. Specifically, a vertical translation of distance c is given by the function:

f(x) + c

where f(x) is the original function and c is a constant that determines the amount and direction of the translation. If c is positive, the graph of the function is shifted upwards; if c is negative, the graph is shifted downwards.

For example, the function f(x) = x^2 has a graph that is a parabola opening upwards. If we apply a vertical translation of 2 units, the resulting function is:

f(x) + 2 = x^2 + 2

The graph of this function is also a parabola, but it has been shifted vertically upwards by 2 units. Similarly, a vertical translation of -3 units would give us the function f(x) - 3 = x^2 - 3, which is the same parabola shifted downwards by 3 units.

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So, from the given options, the scatter plot that shows a positive linear association is option B.

A scatter plot is a type of graph that displays the relationship between two variables. Each data point in the scatter plot represents a pair of values for the two variables being plotted, with one variable on the x-axis and the other on the y-axis. Scatter plots are used to examine the correlation or relationship between the variables. If the points on the scatter plot form a pattern that slopes upwards as you move from left to right, it indicates a positive linear association between the variables. If the pattern slopes downwards, it indicates a negative linear association. If there is no pattern or trend, it indicates no correlation between the variables.

Here,

A scatter plot that shows a positive linear association is one where the points on the graph form a pattern that goes upward and to the right.

In option A, the data points do not show a clear upward trend, so this scatter plot does not show a positive linear association.

In option B, there is a clear upward trend in the data points as you move from left to right, so this scatter plot does show a positive linear association.

In option C, the data points do not show a clear upward trend, so this scatter plot does not show a positive linear association.

In option D, the data points do not show a clear upward trend, so this scatter plot does not show a positive linear association.

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Answer:

A

Step-by-step explanation:

because when we say statical data we mean numerical data (asking u about number) so the answer yes i have 5 or no they r more or less.

The standard error measures the variability of the sample mean from the true population mean. It represents the standard deviation of the sampling distribution of the mean and gives an estimate of how much the sample means will vary from one sample to another.

b. When calculating the standard error of the mean, we assume that the sample was randomly selected from the population, and that the sample size is large enough (usually, n > 30) for the central limit theorem to apply.

c. To reduce the standard error of their estimate of the mean home range size, researchers could increase the sample size, which will decrease the standard error by reducing the variability of the sampling distribution of the mean.

Alternatively, they could improve the precision of their measurements or reduce measurement errors to decrease the standard deviation of the sample, which will also decrease the standard error.

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Answer:

(1/2)(7 + 12) = 19/2 = 9.5 inches

The requried measure of the middle strip of the trapezoidal prism is 9.5 inches.

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
The purse shown is a trapezoidal prism. the front face of the purse has a stripe.

The measure of the mid stripe is given by,
= 1 / 2[ sum of lower and upper strip]
= (1/2)(7 + 12)
= 19/2
= 9.5 inches

Thus, the requried measure of the middle strip of the trapezoidal prism is 9.5 inches.

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