Question
Rosa invested 600 at 3.9% simple interest. At the investment's maturity, its value was 1302. How long was the money invested? Select one: a. 35 years b. 25 years c. 30 years d. 40 years
Solution
4.2
(332 Votes)
Vincent
Professional ยท Tutor for 6 years
Answer
### c. 30 years
Explanation
## Step 1: Calculate the total interest earned.### The maturity value is the sum of the principal and the interest earned. The total interest earned is the maturity value minus the principal.
.## Step 2: Convert the interest rate to a decimal.### Divide the percentage by 100 to convert it to a decimal.
.## Step 3: Use the simple interest formula to find the time.### The simple interest formula is
, where
is the interest,
is the principal,
is the rate, and
is the time. We have
,
, and
. We need to find
. So,
.
.
.