The profit function, P(x), for a tamale cart is shown below, where a represents the number of
tamales sold. What is P¹(x) for this situation?
P(x) = 5x² 100; x ≥ 0
TAMALES
Tamales
P¹(x)=√(x+20); -∞ P-¹ (2)=√ ;-100
(z + 100)
P-¹(x)
P-¹ (x) =
2+100
10
(+100)
5
·∞<*<∞
; x>-100

Answers

Answer 1

The inverse function for this problem is defined as follows:

P^(-1)(x) = square root of (x + 100/5), x ≥ -100.

How to obtain the inverse function?

The function in this problem is defined as follows:

P(x) = 5x² - 100, x ≥ 0.

In which P(x) is the profit earned when x tamales are sold.

To obtain the inverse function, first we exchange the variable y = P(x) and x are follows:

x = 5y² - 100

Then the variable y must be isolated as follows:

5y² = x + 100

y² = (x + 100)/5

y = square root of (x + 100/5).

The domain must be the same domain of the square root function, that does not accept negative values hence:

P^(-1)(x) = square root of (x + 100/5), x ≥ -100.

This means that the first option is correct.

Missing Information

The problem is given by the image shown at the end of the answer.

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The Profit Function, P(x), For A Tamale Cart Is Shown Below, Where A Represents The Number Oftamales

Related Questions

the margin of error of a confidence interval is the error from biased sampling methods. t or f

Answers

False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

What are statistics and their various forms?

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

What are the two primary statistical methods?

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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in r, run a one-sample t-test to determine if the sample of toys below are likely to have come from a population with mean price greater than $10. what is the p-value of the test?

Answers

The sample of toys below are likely to have come from a population with mean price greater than $10 then the p-value of the test is 0.139.

R code

x = c(10,12,15,8,9,10,13,7,20,10)

⇒ t.test(x,mu = 10, alternative = "greater")

on sample t test

data: x

t = 1.1543, df = 9, p value = 0.1391

alternative hypothesis: true mean is greater than 10

95 percent confidence interval:

9.176629 Inf

sample estimates:

mean of x

11.4

Hence we get the required answer.

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The Sports Boosters are selling souvenir cups at the school football games to raise money for new uniforms. Each souvenir cup sells for $2.25. At the first game, the Boosters collected $123.75 from souvenir cups sales. How many cups were sold at the first game?

Answers

The number of cups sold at the first game is 55.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of each souvenir = $2.25

The total amount collected from the souvenir cups sales = $123.75

The number of cups sold at the first game.

= 123.75/2.25

= 55

Thus,

The number of cups sold is 55.

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Which of the following numbers is divisible by 2, 5, and 10?
A. 101
B. 125
C. 342
D. 550​

Answers

Answer: D. 550

Step-by-step explanation: Among the choices, 550 is the right answer, because simply it is divisible by 2, 5, and 10, unlike the other choices that are not divisible by 2, 5, or 10.

550 ÷ 10 = 55

550 ÷ 5 = 110

550 ÷ 2 = 275

D. 550
550/2 = 275
550/5 = 110
550/10 = 55

Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.

Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going the same direction.
If a third plane could be drawn which contains both lines a and b, then

lines a and b must be parallel.
lines a and b cannot be parallel.
lines a and b must be skew.
lines a and b must be perpendicular.

Answers

Answer:

lines a and b must be parallel

Answer:(A)

Step-by-step explanation:edge

Shade 1 circle. Shade 9/4 more

Answers

Answer:

For the first one, shade in 1 circle at the start

Then shade in 9/4 more, so you would fully shade 2 more because every 4 equals 1.

Then shade 1 quarter of the next circle, or 1 of the 4 portions of the next circle.

____________________________________

For the second one, shade in 2 circles at the start

Then shade 8/5 more, so fully shade one more because every 5 numbers equals one shaded circle.

Then shade 3/5 of the next circle. So you would shade 3 of the 5 portions of the circle

let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. find r'(1) and s'(4).

Answers

The value of r'(1) and s'(4) is 0 that can be interpreted with the help of the graph that is given in the question.

Derivative in mathematics, the rate of change of a characteristic with recognize to a variable. Derivatives are essential to the answer of troubles in calculus and differential equations. The essence of calculus is the by-product. The by-product is the immediately price of extrade of a characteristic with recognize to certainly considered one among its variables. This is equal to locating the slope of the tangent line to the characteristic at a point

[tex]r(x) = f(g(x))[/tex]therefore the derivative of r is given by [tex]r'(x) = f'g(x)\times g'(x)[/tex]

[tex]r'(1) = f'(g(1))\times g'(1)[/tex] from the graphs

r'(1) = f'4 \times g'1 = (5/4) \times(0) = 0

Similarly s'(1) = g'(f(1))\times f'(1) from the graphs

 f(1)=1.5, f'(1)

=\dfrac{ (3-0)}{(0-2)}

= -3/2 , g'(3/2) = 0

s'(4) = g'(3/2) \times f'(4) = 0(-1.5) = 0

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Complete question:

let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. find r'(1) and s'(4).

FILL IN THE BLANK. the starting value of an algorithm used to generate a range of numbers is called the _________.

Answers

The starting value of an algorithm used to generate a range of numbers is called as Seed .

A pseudo-random number generator (PRNG) is a technique that generates random number sequences using mathematical formulas. A series of numbers that closely resemble the characteristics of random numbers are produced by PRNGs. A Seed state is used by a PRNG to start from any starting state. If the beginning of the series is known, many numbers are created quickly and can also be repeated later. As a result, the numbers are accurate and deterministic.

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The area of the square in the figure below is 16 square inches. Solve for "s", the length of one side. Explain
the solution.

▪️▪️▪️▪️
▪️▪️▪️▪️
▪️▪️▪️▪️
▪️▪️▪️▪️

Area = 16 in²
A=S²
A=16
s²=16

Answers

Answer:

4

Step-by-step explanation:

[tex]\sqrt{16}[/tex] = 4

The side lengths of the square is 4.

Area = Length times width

Area = 4 x 4

Are = 16

What is the value of x that would make like a parallel to line b

Answers

Answer:

x = 16

Step-by-step explanation:

If the lines were parallel then (12x - 50) and (8x + 14) are alternate angles and are congruent , then

12x - 50 = 8x + 14 ( subtract 8x from both sides )

4x - 50 = 14 ( add 50 to both sides )

4x = 64 ( divide both sides by 4 )

x = 16

For a and b to be parallel then x = 16

A(-5,1) B(-2,4) C(1,-1)
Translate the triangle 4 units left and 6 units up. PLSSS HELP ME THANK YOU

Answers

The triangle after translation will have coordinates A'(-9, 7), B'(-6, 10) and C'(-3, 5)

What are transformations?

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, a triangle A(-5,1) B(-2,4) C(1,-1) is being translated 4 units left and 6 units up

To translate the point P(x, y), a units left and b units up, use P'(x-a, y+b).

Therefore, coordinates for A'B'C' are =

A(-5, 1) = A'(-5-4, 1+6) = (-9, 7)

B(-2, 4) = B'(-2-4, 4+6) = (-6, 10)

C(1, -1) = C'(1-4, -1+6) = (-3, 5)

Hence, The triangle after translation will have coordinates A'(-9, 7), B'(-6, 10) and C'(-3, 5)

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Please help me with math

Answers

Answer:

it is 0.5 percent

Step-by-step explanation:

7 divided by 1400 x 100 = 0.5

758 +630+7+105=1400 ^

Answer: A

the total employees in the company is

                  758 + 530 + 7 + 105 = 1400 (employee)

the percent of the employees walk to work is

                  7/1400.100% = 0,005 . 100% = 0,5%

Step-by-step explanation:

Determine whether the sequence 1/117659, 1/16807, 1/2401...converges or diverges. If it converges, give the limit.

Answers

The sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

What is the sequence converges or diverges?

A convergent series is a series whose partial sums tend to a specific number, also called a limit. A divergent series is a series whose partial sums, by contrast, don't approach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.

The given sequence is 1/117659, 1/16807, 1/2401...

Here, common ratio is

1/16807 ÷ 1/117659

= 1/16807 × 117659/1

= 117659/16807

= 7

Now, 1/2401 ÷ 1/16807

= 1/2401 × 16807/1

= 16807/2401

= 7

Hence, the sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

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write an equation that can be used to determine the length

Answers

A. The equation that can be used to represent the side a of the cube is a³ = 343.

B. The value of a is 7 units.

How to represent the volume of a cube?

The diagram above is a cube . A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Therefore, the cube has a volume of 343 cm³.

Hence, the equation that can be used to represent the side a of the cube is as follows:

volume of a cube = l³

where

l = side length

Therefore,

volume of the cube = a³

343 = a³

Let's solve the equation.

343 = a³

a³ = 343

cube root both sides

a = ∛343

a = 7 units

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Noel old 4 carved wooden block at a local fair, earning a total profit of $26. He plan to ell 22 block during the fair. If he ell all the block, how much profit can Noel expect to earn? $

Answers

Noel can expect to earn a total profit of $572 if he sells all 22 blocks at the fair. Profit is an important measure of the financial performance of a business.

Profit is the amount of money that is gained from a business activity after all expenses have been paid. It is calculated by subtracting the costs of producing or acquiring a product or service from the revenue generated by selling that product or service.

To find the total profit that Noel can expect to earn from selling all 22 blocks, we need to multiply the profit from each block by the number of blocks he plans to sell.

We can use the following equation to calculate the total profit:

Total profit = Profit per block x Number of blocks

Plugging in the values we know, we get:

Total profit = $26 x 22 = $<<26*22=572>>572

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a researcher hypothesizes that babies will fall to sleep more quickly if they can hear the sound of a recorded heartbeat. the null hypothesis for this study is that

Answers

Babies will not fall asleep more quickly when they hear the sound of a recorded heartbeat by opposite of null hypothesis.

The researcher has proposed a hypothesis that babies will fall asleep more quickly when they can hear the sound of a recorded heartbeat. To test this hypothesis, the researcher must develop a null hypothesis. The null hypothesis is the opposite of the researcher's hypothesis and states the expected outcome if the researcher's hypothesis is false. In this case, the null hypothesis is that babies will not fall asleep more quickly when they hear the sound of a recorded heartbeat. To test these hypotheses, the researcher must design a study and collect data to determine if the hypothesis is true or false. The researcher must also consider variables that could affect the outcome of the study, such as the age of the babies, the type of recorded heartbeat, and any other factors that could impact the outcome. The results of the study will then be used to either reject or accept the null hypothesis and determine if the researcher's hypothesis is true or false.

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The following equation i true for all value of x. What number complete the equation?
Show your work. 5y 2(3y − 1) = ⬜y − (y 2)

Answers

we can add 2 to both sides to get 3y = -y2 + 2, which simplifies to 3y = -(y2 - 2).

5y + 2(3y − 1) = 8y - (y2)

5y + 2(3y - 1) can be rewritten as 5y + 6y - 2.

Then, we can combine like terms on the left side to get

11y - 2.

On the right side, we can combine like terms to get 8y - y2.

Now, we have 11y - 2 = 8y - y2. We can subtract 8y from both sides to get 3y - 2 = -y2.

Finally, we can add 2 to both sides to get 3y = -y2 + 2, which simplifies to 3y = -(y2 - 2).

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help me pls with this crazy question
plspls pls​

Answers

Answer:

Below

Step-by-step explanation:

You need to draw a diagram of the described situation ( see below) ...then you can see the Law of Cosines will give you the answer:

Chri want to order DVD over the internet. Each DVD cot $15. 99 and hipping the entire order cot $9. 99. If he can pend no more than $100 , how many DVD could be buy?

Answers

Chris can only buy a maximum of 5 DVDs.

What is a division?

The division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to find the quotient. It is represented by the symbol "/" or "÷".

To determine how many DVDs Chris can buy, we need to subtract the cost of shipping from the total amount of money Chris has available and then divide the remaining amount by the cost of each DVD.

First, we subtract the cost of shipping from the total amount of money Chris has available:

$100 - $9.99 = $90.01

Then, we divide the remaining amount by the cost of each DVD:

$90.01 / $15.99 = 5.63

Chris can buy 5 DVDs.

Hence, Chris can only buy a maximum of 5 DVDs.

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You have 2 different savings accounts. For Account​ A, the simple interest earned after 3 months is ​$2.00. For Account​ B, the simple interest earned after 18 months is ​$20.70. If the interest rate is 3.2​% for Account A and 2.3​% for Account​ B, how much is the principal in each​ account? Which account earned you the most interest the first​ month? Explain your answer.

Answers

Answer:

Account A = $20.8

Account B = $

Step-by-step explanation:

how much is the principal in each​ account?

Formula  = (P x R x T)/100

Account A: -

2.00 = P(3.2)(3) / 100

(2 x 100) / (3.2 x 3) = P

P = $ 20.8

Account B: -

20.7 = P(3.2)(18) / 100

(20.7 x 100) / (3.2 x 18) = P

P = $35.9

Which account earned you the most interest the first​ month?

Account A: -

3 months ----> $2

1 month ----> $x

x = 2 / 3

x = $0.67

Account B: -

18 months ----> 20.7

1 month ----> $y

y = 20.7 / 18

y = $1.15

Account B has earned more as 1.15 > 0.67 ( 1.15 IS greater than 0.67)

I hope my answer helps you.

if the correlation is 0, then there is no relationship between the two variables. hintlinks to an external site. textbook pageslinks to an external site. group of answer choices true false

Answers

There is no association between the two variables if the correlation is 0.hintlinks to an external site. textbook pageslinks to an external site is False statement.

A correlation of zero means that there is no linear relationship between two variables, however, this does not necessarily mean that there is no relationship at all. It's crucial to keep in mind that correlation does not equal causation.For example, two variables may have no linear relationship, but still be related in some way, such as through a third variable or a non-linear relationship. Therefore, correlation does not necessarily mean that there is no relationship between two variables.

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What is 2(11-4)-3^2 answer

Answers

5
2(11-4)-3^2
2(7)-9
14-9
5

Answer:

5

Step-by-step explanation:

Knowledge Needed

Use PEMDAS

Parenthesis

Exponents/Roots

Multiplication & Division

Addition & Subtraction

This means you do parenthesis first, exponents second, etc.

Clearing up a Common Misconception: Multiplication is not is not in front of division, same with addition and subtraction. When it comes to this, the order is left to right.

Question

2(11-4)-3^2

Parenthesis

2(7)-3^2

Exponents

2(7) - 9

Multiplication/Division

14 - 9

Subtraction

5

1) The domain of a function can BEST be described as which of the following:
a) The set of all y-coordinates
b) The set of all x-coordinates
d) The x-intercepts of one of the functions
c) Where the graph of the two
functions meet

Answers

Answer: b) The set of all x-coordinates

Step-by-step explanation:

Please help meeeee asap !!!!!!!!?!??

Answers

The number of boxes Anica need to pack all the stuffed animals is 3.

Given that, Anica has 13 stuffed animals, and each box holds 5 animals.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here,

Number of boxes completely filled =13/5

5|13|2
  10
_____

   3

3 animals are left

Therefore, the number of boxes Anica need to pack all the stuffed animals is 3.

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you buy 1 shirt and 3 pairs of pants for $44. your friend buys 3 shirts and 1 pair of pants for $44. what is the cost of each shirt? of each pair of pants?

Answers

The cost of each shirt and pair of pants is $11 each.

Let us represent the shirt by x and pair of pants by y. So forming the equation based on the information. Equation for items bought by me -

x + 3y = 44 : Equation 1

Equation for items bought by my friend -

3x + y = 44 : Equation 2

Performing multiplication of equation 1 with 3

3x + 9y = 132 : Equation 3

Performing subtraction of equation 2 from equation 3

3x + 9y = 132

3x + y = 44

We get -

9y - y = 132 - 44

8y = 88

y = 88/8

Performing division

y = 11

Keep the value of y in equation 1

x + 3×11 = 44

x + 33 = 44

x = 44 - 33

x = 11

Hence, both of these items cost $11.

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What is the image of (-4,4) after a dilation by a scale factor of 1/4 centered at the origin?

Answers

Answer:

(-1,1)

Step-by-step explanation:

1/4 (-4) = -1

1/4(4) = 1

(-1,1)

Please help me respond this question

Answers

The price that is the Second standard above the mean, if the mean is $10000  and the standard deviation is $500 is $18000.

What is mean?

The central tendency along the median and mode of a probability distribution is measured by the mean. It is also known as "expected value."

Given:

The mean, m = $17000,

The standard deviation, σ = $500

Calculate the second standard deviation as shown below,

Second standard deviation  = mean + 2 × standard deviation

Second  standard deviation = 17000 + 2 × 500

Second  standard deviation = 17000 + 1000

Second  standard deviation = $18000

Therefore, the price that is the Second standard above the mean, if the mean is $10000  and the standard deviation is $500 is $18000.

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3) A man works x hours per weekday
except Saturday when he works y hours. If
he works z hours on sunday how many
hours does he work per week?

Answers

Step-by-step explanation:

Monday to Friday = 5x

Saturday = y

Sunday = z

Per week, he works 5x + y + z hours.

which of the following is a constant in a mathematical model? a) decision variable. b) parameter. c) objective function. d) constraint. e) none of the answer choices are correct.

Answers

Answer:

b). parameter

Step-by-step explanation:

A parameter is a fixed value in the model that is not a decision variable and is not changed during the optimization process. It is used to represent known quantities that are used in the model but are not being optimized. For example, in a linear programming model, the cost of a product may be represented by a parameter, as the cost is not a decision variable and is fixed.

The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
SX
#
OA. One solution
OB. Infinitely many solutions
OC. No solutions
OD. Two solutions

Answers

The option that gives the number of solutions to the system of equations is given as follows:

A. One solution.

How to obtain the number of solutions in a system of equations?

For a system of linear equations, the system is composed by multiple lines, and the number of solutions is defined according to the features of the lines.

The possible numbers of solutions are given as follows:

Infinite solutions: the lines are equal, hence they intersect at all points.No solutions: the lines are parallel, meaning that they intersect only at infinity.One solution: the lines intersect at one point.

From the graph given in this problem, we have that the two lines intersect at one point, hence the system of equations has one solution and the correct option is given by option A.

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Other Questions
Find the 3rd order Taylor polynomial of the function f(x)= x centered at 4 and then use this polynomial to approximate 14.03. Show at least 8 decimal places in your answer. A random sample of n measurements was selected from a population with unknown mean and standard deviation o = 20 for each of the situations in parts a through d. Calculate a 95% confidence interval for ju for each of these situations. a. n=70, X = 27 b. n = 150, x= 115 c. n= 80. x = 18 d. n = 80, x=5.33 e. Is the assumption that the underlying population of measurements is normally distributed necessary to ensure the validity of the confidence intervals in parts a through d? Explain. (Round to two decimal places as needed.) (Round to two decimal places as needed.) (Round to two decimal places as needed.) d. (ID) (Round to two decimal places as needed.) e. Choose the correct answer below. O A. No, since the sample sizes are large in 2 30), the condition guarantees that the sampling distribution of x is approximately normal. O B . No, since the confidence level is at least 90%, the underlying distribution need not be normal. OC. No, since the sample was randomly selected from the target population, the sampling distribution of x is guaranteed to be approximately normal. OD. Yes, the underlying distribution must be normal for the validity of these confidence intervals O E. No, since the sample sizes are large in 230) and randomly selected from the target population, the condition guarantees that the sampling distribution of x is approximately normal. 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Modela You see; a soccer ball You type: el torbol prance, inc., earned pretax book net income of $1,881,000 in 2021. prance acquired a depreciable asset that year, and first-year tax depreciation exceeded book depreciation by $188,100. prance reported no other temporary or permanent book-tax differences. the pertinent u.s. federal corporate income tax rate is 21%, and prance earned an after-tax rate of return on capital of 4%. enter below prance's 2021 deferred tax benefit or expense and any deferred tax asset or liability. why do the hair straighteners not turn on when only switch s2 is closed? which of the following instruments has one continuous cutting edge around the face because the two sides are united without interruption by the rounded toe? TRUE/FALSE. a pan of enchiladas is served at a dinner party. its starts to cool according to newton's law of cooling Find the length of an arc on a circle whose radius is 10 cm and whose central angle subtends a central angle of 20 Uranium-235, with a half-life of 713 million years, decays to lead-207. If you analyze a rock sample and find that it contains uranium-235 and lead-207 in a ratio of 1:3, how old is the rock?a. 4600000000 years oldb.1426000000 years oldc.713000000 years oldd. 0 years olde. 256500000 years old If x and y vary directly and y is 6 when x is 8, find y when x is 12. the picture shows different objects being weighed on scales. which ball will require the most force to lift? a the golf ball because it is the smallest in size b the beach ball because it is the largest in size c the soccer ball because it has the most mass d the baseball because it has the most material 06.01 An Interesting Point of View Q.9 Which of the following statements is true about narrative texts?A. They are written only to entertain or inform readers.B. They have no clear definition.C. They may inform, persuade, entertain, inspire, or teach.D. They have no purpose other than to persuade people to buy something.Q.10 Point of view is the type of narration used; perspective is a particular attitude toward something that is revealed through point of view. A. TrueB. False Which is a reason new infectious diseases are a global health concern for nurses and healthcare workers? a) Low availability of vaccines b) Cost of detecting new agents c) Poverty in inner cities d) International travel and trade. Find the Area of the figure below, composed of a rectangle and a semicircle. The radius of the circle is shown. Round to the nearest tenths place. an interest-only mortgage is made for $81,000 at 6 percent interest for 10 years. the lender and borrower agree that monthly payments will be constant and will require no loan amortization. required: a. what will the monthly payments be? b. what will be the loan balance after five years? c. if the loan is repaid after five years, what will be the yield to the lender? d. instead of being repaid after five years, what will be the yield if the loan is repaid after 10 years?