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
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RupertElite · Tutor for 8 years
Answer
### d. $430.40
Explain
## Step 1: Convert the interest rate to a decimal<br />### The interest rate is given as $1.9\%$. To convert it to a decimal, divide by 100: $1.9\% = \frac{1.9}{100} = 0.019$.<br /><br />## Step 2: Calculate the simple interest earned<br />### Use the simple interest formula, $I = Prt$, where $I$ is the interest, $P$ is the principal, $r$ is the interest rate (as a decimal), and $t$ is the time in years. In this case, $P = \$400$, $r = 0.019$, and $t = 4$.<br />$I = 400 \times 0.019 \times 4 = \$30.40$<br /><br />## Step 3: Calculate the future value<br />### The future value is the sum of the principal and the interest earned. Future Value $= P + I = \$400 + \$30.40 = \$430.40$.
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