Question

You can afford a $200 per month car payment. You've found a 3 year loan at 3% interest. How big of a loan can you afford?

Answer 1

The amount of loan that can be afforded = $6605.5

Step-by-step explanation

Paying $200 per month for 3 years = 3 × 12 × $200 = $7200

So, we can use this to find the amount of loan acquirable.

Let that amount of loan be x dollars.

Simple Interest = (PRT/100)

where

P = Principal = The amount borrowed = x dollars

R = Rate = 3%

T = Time = 3 years

Total amount to be returned = Principal + Simple interest

7200 = x + Simple Interest

Simple Interest = (PRT/100) = (x × 3 × 3/100) = 0.09x

7200 = x + 0.09x

7200 = 1.09x

Divide both sides by 1.09

1.09x = 7200

(1.09x/1.09) = (7200/1.09)

x = $6605.5

Hope this Helps!!!