Justin took out a loan for 146 days and was charged simple interest at an annual rate of 12.5%.The total interest he paid on the loan was $245.

How much money did Justin borrow?

Assume that there are
365 days in a year, and do not round any intermediate computations.
If necessary, refer to the list of financial formulas.

1 answer

We can use the formula for simple interest:

I = Prt

where I is the interest, P is the principal (the amount borrowed), r is the annual interest rate (as a decimal), and t is the time in years.

In this case, we know that Justin paid $245 in interest, the annual interest rate is 12.5% (or 0.125 as a decimal), and the time is 146/365 = 0.4 years (since there are 365 days in a year).

So we can plug in these values and solve for P:

245 = P * 0.125 * 0.4

245 = 0.05P

P = 245 / 0.05

P = 4900

Therefore, Justin borrowed $4900.