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bonufazy [111]
2 years ago
11

What would the monthly payment be for a $5,000 loan with a 6. 25% interest rate compounded monthly spread over 60 months? a. $25

. 31 b. $97. 25 c. $217. 00 d. $320. 95.
Mathematics
1 answer:
Rina8888 [55]2 years ago
5 0

Answer:

  b.  $97.25

Step-by-step explanation:

Your number sense tells you a loan of this duration will have a monthly payment not much greater than $5000/60 ≈ $83. Of the offered answer choices, $97.25 is the most reasonable guess.

__

If you work this out using a financial calculator, it will tell you the monthly payment is $97.25.

_____

<em>Additional comment</em>

As a first approximation, the interest paid on an amortized loan is about half of the simple interest amount. We can guess at the monthly payment by computing the payment on a simple interest loan at half the rate.

The total due on a $5000 loan at 3.125% interest is ...

  A = P(1 +rt) = 5000(1 +5(0.03125)) = 5000(1.15625) = 5781.25

If 1/60 of that is paid each month, the payment is about $96.35. This guess is within 10% of the actual payment value. With suitable approximations, you can do this calculation without a calculator.

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Ksivusya [100]

Answer:

Step-by-step explanation:

(3,2),(6,3)

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slope = (3 - 2) / (6 - 3) = 1/3

y = mx + b

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3 years ago
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zavuch27 [327]

Answer:

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Step-by-step explanation:

That $60 is the y-intercept and represents the (flat) charge per session.  The  ($0.75/mile)x represents the amount charged for the total number of miles driven.

4 0
3 years ago
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Gnoma [55]

9514 1404 393

Explanation:

<h3>Part 1.</h3>

The inverse of a function y = f(x) can be found by solving x = f(y) for y.

When we do that here, we find ...

  x=f(y)\\\\x=\dfrac{y+a}{b}\\\\bx=y+a\\\\y=bx-a

When we compare this to g(x), which we want to be the inverse of f(x), we see that ...

  cx -d = bx -a   ⇒   b=c, and d=a

We can choose a=d=1 and b=c=2 to make the two functions inverses:

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__

<h3>Part 2.</h3>

The inverse of f(x) is g(x) if f(g(x)) = x.

  f(g(x)) = ((2x -1) +1)/2 = 2x/1 = x . . . . . g is the inverse of f

__

<h3>Part 3.</h3>

Same as Part 2, but in reverse.

  g(f(x)) = 2((x +1)/2) -1 = (x +1) -1 = x

__

<h3>Part 4.</h3>

The attachment is a graph of the two functions and a table of values. The line y=x is the dashed orange line. You will notice that f(x) and g(x) are reflections of each other across that line.

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3 years ago
Which equation can you use to solve for the volume of the cake?
lesantik [10]

Answer:

C. (40 × 60 × 10) + (30 × 60 × 10) = V

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Picture of the cake can be found in the attachment below :

To solve, we resolve the cake into two distinct boxes :

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And the other which sits vertically ;

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Then, we add;

Overall volume:

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7 0
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