/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 36 To borrow money, you pawn your m... [FREE SOLUTION] | 91Ó°ÊÓ

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To borrow money, you pawn your mountain bike. Based on the value of the bike, the pawnbroker loans you \(\$ 552\). One month later, you get the bike back by paying the pawnbroker \(\$ 851\). What annual interest rate did you pay?

Short Answer

Expert verified
The annual interest rate paid was 650%.

Step by step solution

01

Determine the Interest Paid

The interest paid can be determined by subtracting the original loan amount from the amount paid back, i.e., \(851 - 552 = 299\). So, \(\$299\) is the interest paid.
02

Calculate the Monthly Interest Rate

The monthly interest rate can be determined as the interest paid divided by the principal amount, i.e., \(299 / 552\). Calculating this gives approximately 0.5416666667.
03

Calculate the Annual Interest Rate

To get the annual interest rate, multiply the monthly rate by 12. In this instance, \(0.5416666667 * 12\), which equals approximately 6.5 or 650% when turned into percentage form.

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