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Dmitriy789 [7]
3 years ago
8

An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually. If the loan is paid in full at the end of

that period, how much must be
paid back?
Use the calculator provided and round your answer to the nearest dollar.
5
?
Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0

Answer:

Total cost of the loan $55,969.8.-

Step-by-step explanation:

Giving the following information:

An amount of $32,000 is borrowed for 10 years at 5.75% Interest, compounded annually.

<u>To calculate the total cost of the loan, we need to use the Future Value (FV) formula:</u>

<u></u>

FV= PV*(1 + i)^n

PV= loan

i= interest rate

n= number of periods

FV= 32,000*(1.0575^10)

FV= $55,969.8

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Let f(x)=x+8and g(x)=x^2-6x-7. Find f(g(2))
posledela

The answer is a. -7


1. Find g(2).

2. Find f(g(2)).

g(x) = x² - 6x - 7

x = 2 ⇒ g(2) = ?

g(2) = 2² - 6·2 - 7 = 4 - 12 - 7 = -15

2. f(x) = x + 8

g(2) = -15

f(g(2)) = f(-15) = -15 + 8 = -7


3 0
3 years ago
A car travels 500 miles at an average speed of 60 MPH on the return trip the same route that it travels 50 miles per hour how lo
xxMikexx [17]

Step-by-step explanation:

it is not clear - is 500 miles the whole round trip, or is it only the trip in one direction ?

and do we need the time for the whole round trip, or only for the return trip ?

in any case, always remember,

speed = distance/time

therefore, to get time, we need to divide distance by speed :

distance / distance/time = time×distance/distance = time

so, let's calculate all these different scenarios :

1. 500 miles is only one direction, and we measure only the time going back with 60 mph :

500 / 60 = 50/6 = 25/3 = 8 1/3 = 8 hours 20 minutes.

as 1/3 of 1 hour = 1/3 of 60 minutes = 60/3 = 20 minutes.

2. 500 miles is only one direction (going 1000 miles altogether), and we measure the time going to with 50 mph and going back with 60 mph :

500 / 50 = 10 hours

500 / 60 = 8 hours 20 minutes

the whole round trip takes 18 hours 20 minutes.

3. 500 miles is the whole round trip. so, 250 miles is one direction. and we measure only the time going back with 60 mph :

250 / 60 = 25/6 = 4 1/6 = 4 hours 10 minutes.

as 1/6 of 1 hour = 1/6 of 60 minutes = 60/6 = 10 minutes.

4. 500 miles is the whole round trip. so, 250 miles is one direction. and we measure the time going to with 50 mph and back with 60 mph :

250 / 50 = 5 hours

250 / 60 = 4 hours 10 minutes

the whole round trip takes 9 hours 10 minutes.

did you notice ?

when going only half the distance, also the time it takes to travel that distance is only half (or vice versa - double). because the ratio distance/time is always the same.

7 0
2 years ago
Y is directly related to X, and Yis 81 when X is 27.<br> The constant of variation is
Arisa [49]

Answer:

3

Step-by-step explanation:

A direct variation is of the form

y = kx

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81 = k *27

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5 0
3 years ago
Sterling silver is an alloy of silver that is 92.5% pure silver. If x grams
nlexa [21]

Answer:

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The important point to remember is that the total mass of pure silver is the same on each side of the equation.

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0.88  y = mass of pure silver in second alloy

The final alloy has a mass of (x + y) g and is 91 % pure silver, so

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5 0
3 years ago
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What are the coordinates of the circumcenter of a triangle with vertices A(4,10), B(10, 10) , and C(10, 2) ?
const2013 [10]

Answer:

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Step-by-step explanation:

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So, O(7,6)

4 0
3 years ago
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