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
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
.