Find the product.
(n^3)^2 * (n^5)^4

Answers

Answer 1

Answer: Hi

(n^3)^2 × (n^5)^4 = n^6 × n^20 = n^26

Answer: n^26

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Which equation models the rational function show in the graph

Answers

Answer:

Step-by-step explanation: on edge

Can't give you an answer without the graph.

Write in vertex form:

y = x2 - 4x - 1

Answers

$y = x^2 - 4x - 1 \ny=x^2-4x+4-5\ny=(x-2)^2-5$

Audrey is buying a new car for $32,998.00. She plans to make a down payment of $4,200.00. If she's to make monthly payments of $525 for the next five years, what APR has she paid?A. 37%
B. .37%
C. 3%
D. 3.7%

Answers

This question is an annuity problem with cost of the car = $32,998, the present value of the annuity (PV) is given by the difference between the cost of the car and the down payment = $32,998 - $4,200 = $28,798. The monthly payments (P) = $525 and the number of number of years (n) = 5 years and the number of payments in a year (t) is 12 payments (i.e. monthly) The formula for the present value of an annuity is given by PV = (1 - (1 + r/t)^-nt) / (r/t) 28798 = 525(1 - (1 + r/12)^-(5 x 12)) / (r/12) 28798r / 12 = 525(1 - (1 + r/12)^-60) 28798r / (12 x 525) = 1 - (1 + r/12)^-60 2057r / 450 = 1 - (1 + r/12)^-60 Substituting option A (r = 37% = 0.37) 2057r / 450 = 2057(0.37) / 450 = 761.09 / 450 = 1.691 1 - (1 + r/12)^60 = 1 - (1 + 0.37/12)^-60 = 1 - 0.1617 = 0.8383 Therefore, r is not 37% Substituting option D (r = 3.7% = 0.037) 2057r / 450 = 2057(0.037) / 450 = 76.109 / 450 = 0.1691 1 - (1 + r/12)^60 = 1 - (1 + 0.037/12)^-60 = 1 - 0.8313 = 0.1687 Therefore, r is approximately 3.7%

To solve this we are going to use the loan payment formula: $P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )$

where

$P$ is the amount of the regular payment

$PV$ is the present debt

$r$ is APR in decimal form

$n$ is the number of payments per year

$t$ is the time in years

We know from our problem that Audrey is making a down payment of $4,200.00; since the cost of the car is $32,998.00, the present deb will be the cost of the car minus the down payment, so $PV=32998-4200=28798$ . We also know that she is going to make monthly payments of $525 for the next five years, so $n=12$ and $t=12$ . Let's replace the values in our formula:

$P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )$

$525= ( (r)/(12)(28798))/(1-(1+ (r)/(12))^(-(12)(5)) )$

We have two ways of finding the APR: we can solve for $r$ in our equation, which is extremely difficult, or we can evaluate the given APRs and check for which one both sides of the equation are almost the same. Since the second is way easier, we are going to use it.

A. 37%

The APR should be in decimal form, so we need to convert it first; to do it we are going to divide the APR by 100%

$r=(37)/(100) =0.37$

Let's replace the ARP in decimal form in our equation

$525= ( (0.37)/(12)(28798))/(1-(1+ (0.37)/(12))^(-(12)(5)) )$

$525=1059.20$

$529\neq 1059.20$

Since 529 is not equal to 1059.20, 37% is not the APR of the loan.

B. .37%

- Convert the APR to decimal form

$r=(0.37)/(100) =0.0037$

- Replace the APR

$525= ( (0.0037)/(12)(28798))/(1-(1+ (0.0037)/(12))^(-(12)(5)) )$

$525=484.49$

Since 525 is not equal to 484.59, .37% is not the APR of the loan.

C. 3%

- Convert the APR to decimal form

$r=(3)/(100) =0.03$

- Replace the APR

$525= ( (0.03)/(12)(28798))/(1-(1+ (0.03)/(12))^(-(12)(5)) )$

$525=517.46$

Since 525 is not equal to 517.46, 3% is not the APR of the loan.

D. 3.7%

- Convert the APR to decimal form

$r=(3.7)/(100) =0.037$

- Replace the APR

$525= ( (0.037)/(12)(28798))/(1-(1+ (0.037)/(12))^(-(12)(5)) )$

$525=526.47$

Since 525 is almost equal to 526.47, 3.7% is the APR of the loan.

We can conclude that the correct answer is D. 3.7%

Mark’s new car is a lemon. It breaks down within 6 months of purchasing the car. Mark cannot afford the repairs so he charges $2,000 in car repairs on the store account and plans on paying a minimum monthly fee of $50. The card carries a 25% Annual Percentage Rate (APR). How much are those car repairs really costing Brent and when will he pay off the amount owed?

Answers

The worth of the repairs is actually $3,686.25 and the amount will be paid off after 6.07 years. This is assuming that the APR is effective and compounded per year.
The $50 can be converted to a Future Value per year before the rest of the given can be used.

We did not recieve a diagram for this question.Radius of circle O has a slope of 2.5. What is the slope of the line tangent to circle O at point A?

A)0.8
B)2.5
C)-0.4
D)-5

Answers

If the line is tangent to circle at point A and the radius ( suppose AO) has a slope of 2.5 then a slope of the tangent line is :
$(-1)/(2.5)= -0.4$
Explanation: The product of slopes of two perpendicular lines is -1. To get second slope we have to divide -1 by the first one.
Answer:C) - 0.4

The sum of 1 / 6 2/3 and 1/4