Question
Determine the future value of a simple interest investment with a 4-year term on a principal of 400 at 1.9% Select one: a. 407.60 b. 460.80 C. 404.00 d. 430.40
Solution
4.2
(259 Votes)
Rupert
Elite ยท Tutor for 8 years
Answer
### d. $430.40
Explanation
## Step 1: Convert the interest rate to a decimal### The interest rate is given as
. To convert it to a decimal, divide by 100:
.## Step 2: Calculate the simple interest earned### Use the simple interest formula,
, where
is the interest,
is the principal,
is the interest rate (as a decimal), and
is the time in years. In this case,
400
r = 0.019
t = 4
I = 400 \times 0.019 \times 4 = \
## Step 3: Calculate the future value### The future value is the sum of the principal and the interest earned. Future Value
400 + \
430.40$.