Answer:
false
Step-by-step explanation:
[tex]3xy^{2}[/tex]
The coefficient is 3
Hope this helps
√2 (2-2√10) how do you simplify
Answer:
2√2- 4√5
Step-by-step explanation:
√2 (2-2√10)
2√2- 2√20
2√2- 2√(4*5)
2√2- 2*2√5
2√2- 4√5
Mr. Smith has saved $1,800 each year for 20 years. A year after the saving period ended, Mr. Smith withdrew $7,500 each year for a period of 5 years. In the sixth and seventh years, he only withdrew $5,000 per year. In the eighth year, he decided to withdraw the remaining money in his account. If the interest rate was 6% per year throughout the whole period, what was the amount he withdrew at the end of the eighth year?
At the end of the eighth year, the amount Mr. Smith withdrew was $41,757.68.
How the ending withdrawal is determined?The amount that Mr. Smith withdrew at the end of the eighth year is a product of a series of computations, involving future value determination.
In this situation, we have used an online finance calculator to determine the future value of the investment at each leg.
First Leg:N (# of periods) = 20 years
I/Y (Interest per year) = 6%
PV (Present Value) = $0
PMT (Periodic Deposits) = $1,800
Results:
FV = $66,214.06
Sum of all periodic payments = $36,000 ($1,800 x 20)
Total Interest = $30,214.06
Second Leg:N (# of periods) = 5 years
I/Y (Interest per year) = 6%
PV (Present Value) = $,
PMT (Periodic Withdrawal) = $-7500
Results:
FV = $46,331.15
Sum of all periodic payments = $-37,500 ($7,500 x 5)
Total Interest $17,617.09
Third Leg:N (# of periods) = 2 years
I/Y (Interest per year) = 6%
PV (Present Value) = $46,331.15
PMT (Periodic Withdrawal) = $-5000
Results:
FV (Final Withdrawal) = $41,757.68
Sum of all periodic payments = $-10,000 ($5,000 x 2)
Total Interest = $5,426.53
Thus, the amount of $41,757.68 was withdrawn by Mr. Smith at the end.
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A right triangle with coordinates A (-2,5), B (-2, 9) and C (4,5) is first rotated 90 degrees counterclockwise and
then translated 2 units left and 3 units down to form triangle A'B'C'. What is the measure of angle B'A'C',
in degrees, in the resulting figure?
Answer:
90 degree
Step-by-step explanation:
since the original angle BAC is 90 degree, no matter the triangle is rotated or translated, the angle remain unchanged
2/3-5/6 over 3/4. What’s the answer
The value of (2/3 - 5/6) / 3/4 is -2/9.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
(2/3 - 5/6) / 3/4
2/3 - 5/6
= (4 - 5)/6
= -1/6
Now,
(-1/6 )/(3/4)
= -1/6 x 4/3
= -4/18
= -2/9
Thus,
The value is -2/9.
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In the diagram below, QR is parallel to NO. If NQ = 12, QR 20, and NO = 35, find the length of QP. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.
Note that in the attached Geometric Figure (Diagram) which features QR as parallel to NO, if NQ = 12, QR 20, and NO = 35, then the length of QP is equal to 16.
What is the rationale for the above result?[tex]\overline {QR}[/tex] is Parallel to [tex]\overline {NO}[/tex]; therefore
QR/NO = PQ/PN
⇒ 20/35 = PQ/PQ +12
This is because:
PN = PQ + NQ; which is also
PN = PQ +12
(PQ + 12) x 20 = 35PQ
20PQ + 240= 35PQ ; Collect like terms
240= 35 PQ - 20 PQ
240 = 15PQ; Divide both sides by 15
⇒ 240/15 = 15PQ/15
⇒ 16 = PQ
Therefore, QP = PQ which is equal to 16.
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Your company is considering a new project that will require $250,000 of new equipment at the start of the project. The equipment will have a depreciable life of eight years and will be depreciated to a book value of $10,000 using straight-line depreciation. The cost of capital is 12 percent, and the firm's tax rate is 21 percent. Estimate the present value of the tax benefits from depreciation.
The present value of the tax benefits from depreciation which is a non cash expenditure under capital budgeting decisions is $10432.80
What is Depreciation?According to the prudence concept of accounting convention, Depreciation is a non cash expenditure that has been charged against the profit. Depreciation is value that amortized over useful life of tangible fixed asset. The absolute decline in the value of asset due to obsolesce, usage of asset, wear & tear of fixed asset is referred as depreciation.
As per accounting standard on property, plant & equipment depreciation can be computed by straight line method and written down value method.
While analyzing the capital budgeting decision from the equipment to be acquired the cash inflows and outflows during the currency of the project shall be accounted for.
The tax benefit from depreciation expenses will be consider as cash inflow. The same shall be calculated by the present value annuity factor for the as follows:
cost of capital = 12 %
Depreciation = $10000
Life of the project = 8 years
Tax rate = 21%
Present value annuity factor (PVAF) at 12% for 8 years will be:
0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404
Grand total of the (PVAF) at 12% = 4.968
Now multiply the PVAF with depreciation amount
Present Value of Depreciation = 4.968 × 10000 = $49,680
Tax benefit from depreciation = $49,680 × 21% = $10432.8
Thus the tax Tax benefit from depreciation is $10432.80
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Solve for Inequality 5-1/2 x >30
Answer:
X < - 50
Step-by-step explanation:
5 - 1/2 x > 30
Move 5 to the other side of the inequality
- 1/2 x > 25
Multiply both sides by 2, to get rid of the denominator on the left side
-x > 50
Now switch the inequality sign and multiply to get the minus on the other side
x < - 50
[tex]5-\dfrac{1}{2} x > 30[/tex]
Simplify:
[tex]-\dfrac{1}{2} x+5 > 30[/tex]
Subtract 5 from both sides:
[tex]-\dfrac{1}{2} x+5-5 > 30-5[/tex]
[tex]-\dfrac{1}{2} x > 25[/tex]
Multiply both sides by [tex]-\dfrac{2}{1}[/tex]:
[tex]-\dfrac{2}{1} \times(-\dfrac{1}{2} x) > -\dfrac{2}{1} \times(25)[/tex]
[tex]\fbox{x} < \fbox{-50}[/tex]
how many full cases and additional items are needed to fulfill the order 56 items ordered 6 items per case
There are 9 full cases and 2 additional items are needed to fulfill the order 56 items ordered 6 items per case.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
56 items ordered for 6 items per case.
Now, After divide the quotient shows the number of full case and remainder shows the additional items.
Hence, We get;
6 ) 56 ( 9
54
---------
2
Thus, There are 9 full cases and 2 additional items are needed to fulfill the order 56 items ordered 6 items per case.
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You bought a new laptop and paid an initial payment of $150 you will make 12 payments of $69.50 how much would the computer cost if your state tried to 6% sales tax
The cost of the computer if the sales tax is 6% is 924.96 dollars.
How to find the cost of the computer after sales tax?You bought a new laptop and paid an initial payment of $150. You will make 12 payments of $69.50.
The amount the computer cost if the your state charge 6% sales tax can be calculated as follows;
Install mental payment = 12 × 69.50
Install mental payment = 834 dollars
You already made payment of 150 dollars.
Therefore,
total payment including sale tax = 150 + 834
total payment including sale tax = 984 dollars
Sales tax = 6% of 984
Sales tax = 6 / 100 × 984
Sales tax = 5904 / 100
Sales tax = 59.04 dollars
Therefore,
cost of the computer = 984 - 59.04
cost of the computer = 924.96 dollars
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1. choices: m-n m+n. m x n
2. choices: two. one. m. n.
3. choices: one. two. zero
4.choices: one. two. zero.
5. choices: first and last. first. last. middle
The initial polynomial result will include several terms, but after simplification, there may only be one or two terms left.
Polynomial's will be in which form?Each polynomial must be considered to be in standard form. The initial multiplication will result in a total of m and n terms since each of the m terms of the first polynomial will be multiplied by each of the n terms of the second.
When the sum is simplified, some of those elements may be combined, resulting in a final product with only one or two terms.
1. 2 × b = 2b . . . . . each has 1 term; the result has 1 term.
2. (x -a)(x +a) = x² -ax + ax -a² (2×2=4 terms) = x² -a² . . . . the results has 2 terms.
3. (x -a)(x³ +x) = x⁴ -ax³ + x² -ax . . . the results has 2×2 = 4 terms
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15 minutes for 5 songs = minutes per song
Answer:
The average minutes per song would be 3.
i am Once again asking for help on this difficult question- i am timed pls help :
Which of the following shows the prime factorization of using exponential notation?
Which of the following shows the prime factorization of using exponential notation?
Which of the following shows the prime factorization of using exponential notation?
Which of the following shows the prime factorization of using exponential notation?
Which of the following shows the prime factorization of using exponential notation?
how do i simplify 12 /16 to the lowest terms and find equivalent fraction that has a denominator of 32
The prime factorization of 72 using exponential notation is 2³ x 3².
What is Prime Factorization?Prime factorization is a process of writing all numbers as a product of primes.
Given:
Prime factorization is representing a number in form of products of its primes.
Consider the given number 72
72 = 2 x 2 x 2 x 3 x 3
So, 72 can be written as 2 × 2 x 2 × 3 × 3.
Thus, exponential notation it can be written as 2³ x 3².
Also, Simplifying 12 /16 as
= 12/16
= 3/4
and, the equivalent fraction whose denominator is 32.
Then, 3/4 = x/32
4x = 96
x = 24
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Please help will mark Brainly
Answer: 12
Step-by-step explanation: There are about 12 grams of carbohydrates in a 8 fluid ounce (240 mL) glass of whole milk. The amount of carbohydrates in milk can vary slightly depending on the type of milk you are drinking. For example, skim milk has slightly fewer carbohydrates (about 11 grams per 8 fluid ounces) than whole milk because the fat has been removed. On the other hand, milk that is high in fat, such as heavy cream, has even more carbohydrates (about 4 grams per fluid ounce).
The daily recommended allowance of calcium for a sixth grader is 1,200 mg. One cup of
milk has 25% of the recommended daily allowance of calcium. How many milligrams of
calcium are in a cup of milk? If you get stuck, consider using the double number line.
what's the answer pls tell me
Answer:
300 milligrams are in aa cup of milk.
Step-by-step explanation:
.25 x 1200 = 300
Please help me I’ll mark you brainly
On solving the provided question, we can say that - here in graph we have on solving equation [tex]2x^2+ 9y^2 \\[/tex] = [tex]8 + 9 = 17[/tex]
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
here,
from graph, x= 2
y = 1
[tex]2x^2+ 9y^2 \\[/tex]
[tex]8 + 9 = 17[/tex]
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Use the drop-down boxes to show a function in the form y = mx + b for the line that contains the points (–6.4, –2.6) and (5.2, 9).
The equation in the slope-intercept form is y = x + 3.8
What is a slope?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
Given:
A line that contains the points (–6.4, –2.6) and (5.2, 9).
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
So, the equation,
y + 2.6 = {(9 + 2.6)/(5.2 + 6.4)} (x + 6.4)
y + 2.6 = x + 6.4
y = x + 6.4 - 2.6
y = x + 3.8
Therefore, the equation y = x + 3.8 is in the slope-intercept form.
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summarize how you can find the slope of a perpendicular line.
Since "slope" tells us the angle of the line being graphed, the word "slope" is commonly used in mathematics.
Planar geometry states that all lines have slopes. Any slope can be calculated by comparing it to another line, usually the x-axis. A line's slope, or angle, in relation to that x-axis value is how steep it is.
In mathematics, slope is the proportion of the change in the y value to the change in the x value.
Two perpendicular lines have a slope such that the reciprocal of the negative slope of one line equals the slope of the other. The slope of perpendicular lines is -1 as a result.
The relationship between the slopes of parallel lines can be demonstrated using the formula m1.m2 = -1, if the slopes of the two perpendicular lines are m1, m2.
Like a fraction, a slope works by favoring the rise, up-and-down movement, over-the-run, or side-to-side movement. If a line rose up one unit for every rightward unit traveled, the slope would be a positive one.
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a line has a slope of 7/10 and a y intercept of (0,-4) what is the equation of the line in standard form
Considering the definition of a line, the equation of the line in standard form is y - 7/10x= -4
What is Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.The standard form of a linear equation is Ax + By = C. In this type of equation, x and y are variables and A, B, and C are integers.
Equation in this caseIn this case, you know:
A line has a slope of 7/10.A line has a y-intercept of (0,-4).So, the line can be expressed as:
y=7/10x -4
Expresed in standard form:
y - 7/10x= -4
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1/2k+6=4k-8
Please explain step by step
So on solving the provided question, we can say that the value of k is 4, in this linear equation question.
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
1/2k +6= 4k-8
Multiplying both sides by 2,
k+12= 8k-16
7k=28
Therefore,
k=4
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Between 2020 and 2021, the population of a town decreased by 35%
In 2021, the population of the town was 94 900. What was the population of the town in 2020?
Answer:
Step-by-step explanation:
if 2021 is 35% decrease of the original number then 2020 is 100% ,and 2021 = 65%.
so, we do the rule of three:
x = (94900 * 100)/ 65
x = 146000
and that is the population in 2020.
Answer:
Hey there! Based on the information provided, it seems that the population of the town decreased by 35% between 2020 and 2021. We can use this information to calculate that in 2021, the population of the town was 65% of its population in 2020. If the population of the town in 2021 was 94,900, then we can use this information to calculate that the population of the town in 2020 was 146,155. Does that make sense?
If a pair of shoes was discounted from an original price of P5000 to P2800 what is the percent decrease or discount
Work Shown:
a = old price = 5000
b = new price = 2800
c = change in price
c = b-a
c = 2800-5000
c = -2200
The value of c is negative to indicate a price decrease.
d = percent change
d = (c/a)*100%
d = (-2200/5000)*100%
d = -44%
There is a 44% decrease or discount.
MODELING REAL LIFE When the average price of an item increases from $p_1$ to $p_2$ over a period of $n$ years, the annual rate of inflation $r$ (in decimal form) is given by $r=\left(\frac{p_2}{p_1}\right)^{1/n}-1$
. Find the rate of inflation for each item in the table.
Per pound Per pound
2009 2019
Potatoes $0.620 $0.749
Oranges $0.910 $1.280
Ground beef $2.251 $3.775
Potatoes:
, or %
Oranges:
, or %
Ground beef:
, or %
The rate of inflation of potatoes is 0.019.
The rate of inflation of Oranges is 0.019.
The rate of inflation of Ground beef is 0.019.
What is Rate of Inflation?Inflation is an increase in the level of prices of the goods and services that households buy. It is measured as the rate of change of those prices.
Given:
Here, the annual rate of inflation r (in decimal form) is given by
r = [tex](p_2/ p_1)^{1/n[/tex] - 1
Now, The average price of a potatoes increased from $0.620 in 2009 to $0.749 in 2019.
Thus, The required rate of inflation,
r = [tex](0.749/ 0.620)^{1/10[/tex] - 1
r = 1.019 - 1
r = 0.019
Now, The average price of a Oranges increased from $0.910 in 2009 to $1.280 in 2019.
Thus, The required rate of inflation,
r = [tex](1.280/ 0.910)^{1/10[/tex] - 1
r = 1.034 - 1
r = 0.034
Now, The average price of a Ground beef increased from $2.251 in 2009 to $3.375 in 2019.
Thus, The required rate of inflation,
r = [tex](3.775/ 2.251)^{1/10[/tex] - 1
r = 1.0321 - 1
r = 0.0321
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Which expression could be used to determine the product of –4 and 3 and one-fourth?
(negative 4) (3) times (negative 4) (one-fourth)
(negative 4) (3) + (negative 4) (one-fourth)
(3) (negative 4) times (3) (one-fourth)
The expression which could be used to determine the product of -4 and 3 and one-fourth as required is; negative 4) (3) + (negative 4) (one-fourth).
Which expression can be used to determine the product of the given word phrase?As evident in the task content; the expression which could be used to determine the product of; -4 and 3 and one-fourth is required to be determined.
Since the given expression is; -4 and 3 and one-fourth; we have that;
-4 × 3 ¼
However, since 3 ¼ can be written as; ( 3 + ¼ ), it follows that we have;
-4 × ( 3 + ¼ )
Ultimately, the resulting expression using the distributive property is;
( -4 ) ( 3 ) + ( -4 ) ( ¼ )
Therefore, the correct answer is; (negative 4) (3) + (negative 4) (one-fourth).
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onsider the transformation.
Which statement about the transformation is true?
O It is isometric because the side lengths remained the
same,
• It is isometric because all
angle measures remained
the same.
It is not isometric because the side
lengths did not
remain the same.
O It is not Isometric because the
not remain the same.
angle measures did
Mark this and return
Save and Exit
The transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.
What is isometric transformation?An isometric transformation is one that keeps the angles and distances between the original and changed shapes the same. There are numerous techniques that can be used to alter any image in a plane.
The two figures are isometric only if they are congruent. In the given figure the angles remain the same however the lengths of the side are transformed as the figure is dilated.
Hence, the transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.
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How do I solve this system of equations using the elimination method
y=3x+13
2x=y-9
The value of x is -4 and the value of y is 1.
What is the value of x and y?In order to use the elimination method, rearrange the given linear equations.
y - 3x = 13 equation 1
y - 2x = 9 equation 2
Subtract equation 2 from equation 1:
-x = 4
x = -4
Substitute for x in equation 2
y - 2(-4) = 9
y + 8 = 9
y = 9 - 8
y = 1
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In this case, how would it be resolved if it does not indicate any base, only brand X
The coordinates of the vertices of the square with height x is given as follows:
H(-x,x).I(0,x).J(0,0).K(-x,0).What is a square?A square is a figure for which all the four side lengths are congruent, that is, they have the same measure.
The side length of the square in this problem is given as follows:
x.
As the height is equals to the base.
The vertex J represents the origin, hence it has coordinates given as follows:
J(0,0).
Then the remaining coordinates of the square are given as follows:
H(-x,x). -> x units left and x units up from the origin.I(0,x). -> x units up from the origin.K(-x,0). -> x units left from the origin.More can be learned about squares at https://brainly.com/question/30179630
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Find the radius of the circle, if the big square is 30 square units more than the area of the small square.
Answer:
The area of a square is equal to the side length of the square squared. If the side length of the small square is "s" and the side length of the big square is "b", then we can write the following two equations to represent the area of the two squares:
Area of small square = s^2
Area of big square = b^2
Since the area of the big square is 30 units more than the area of the small square, we can write the equation:
b^2 = s^2 + 30
To find the radius of the circle, we need to find the side length of the small square. To do this, we can rearrange the equation above to solve for s:
s^2 = b^2 - 30
s = sqrt(b^2 - 30)
Now we just need to find the value of "b", which is the side length of the big square. To do this, we can use the fact that the big square is inscribed in the circle, so the side length of the big square is equal to the diameter of the circle. Let's call the diameter of the circle "d". Then we can substitute "d" for "b" in the equation above:
s = sqrt(d^2 - 30)
To find the radius of the circle, we just need to divide the diameter of the circle by 2, so the radius is equal to "d" divided by 2. Therefore, the radius of the circle is:
r = d/2 = sqrt(d^2 - 30)/2
So to find the radius of the circle, we just need to know the diameter of the circle. Can you provide the diameter of the circle in the question?:
The radius of the circle is: r = d/2 = sqrt(d^2 - 30)/2
What is area of circle?The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately 3.142
Here, we have,
The area of a square is equal to the side length of the square squared. If the side length of the small square is "s" and the side length of the big square is "b", then we can write the following two equations to represent the area of the two squares:
Area of small square = s^2
Area of big square = b^2
Since the area of the big square is 30 units more than the area of the small square, we can write the equation:
b^2 = s^2 + 30
To find the radius of the circle, we need to find the side length of the small square. To do this, we can rearrange the equation above to solve for s:
s^2 = b^2 - 30
s = sqrt(b^2 - 30)
Now we just need to find the value of "b", which is the side length of the big square. To do this, we can use the fact that the big square is inscribed in the circle, so the side length of the big square is equal to the diameter of the circle. Let's call the diameter of the circle "d". Then we can substitute "d" for "b" in the equation above:
s = sqrt(d^2 - 30)
To find the radius of the circle, we just need to divide the diameter of the circle by 2, so the radius is equal to "d" divided by 2. Therefore, the radius of the circle is:
r = d/2 = sqrt(d^2 - 30)/2
So to find the radius of the circle, we just need to know the diameter of the circle.
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How many total lines of symmetry may be found in the image?
O 16
8
12
4
There are total 12 lines of symmetry may be found in the image.
We have to given that;
A image is shown in figure for find the lines of symmetry .
Since, We know that;
Exactly dividing a form in half, a line of symmetry exists. This indicates that the form would fold perfectly in half if you did so along the line.
Hence, By definition of line of symmetry we get;
There are total 12 lines of symmetry may be found in the image.
Thus, The correct answer is,
⇒ 12 line of symmetry
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Any help would be awesome
Answer: 72 square units
Step-by-step explanation: It is 72 square units because if you count the sides p and q you get 9 and the same with sides q and r you get 8 and if you multiply them together you get 72.