Home
/
Math
/
What Annual Rate of Interest Was Earned If a 15,000 Investment for Five Months Earned 546.88 in Interest? (Do Not Round Intermediate

Question

What annual rate of interest was earned if a 15,000 investment for five months earned 546.88 in interest? (Do not round intermediate calculations and round your final answer to 2 decimal places.) Interest rate % per annum

Solution

Expert Verified
4.4 (161 Votes)
Jacob Professional ยท Tutor for 6 years

Answer

### 8.75%

Explanation

## Step 1: Convert time to years### The investment is for five months, which is of a year.## Step 2: Calculate the annual interest rate### We are given 15,000 t = \frac{5}{12} i = \ . We use the formula and solve for : . Multiply by 100 to express as a percentage: . Rounding to two decimal places gives .