Leroy opened a savings account 18 years ago with a deposit of $2,651.43. The account has an interest rate of 2.8% compounded twi
ce a year. How much interest has Leroy earned? (3 points)
$4,373.68
$2,725.67
$4,358.69
$1,722.25
2 answers:
Answer: $ 1722.25
Explanation:
Formula: Future value = Investment * (1 + r)^(n*t)
Data:
r = 2.8% / 2 = (2.8/100)/2 = 0.014
n = 2 (number of periods per year)
y = 18 years
Investment = $2,651.43
Calculations:
Future value = $2,651.43 * (1 + 0.014)^(2*18) = $2,651.43 * (1.014)^(36)
Future value = $4,373.68
Interests = future value - investment = $4,373.68 - $2,651.43 = $1,722.25
To calculate compound interest, the formula is as follows:
Cf = Ci (1 + i) n
Where:
Cf = final capital.
Ci = initial capital.
i = is the interest rate, converted to a decimal number.
n = the number of periods of the interest rate.
Cf = 2651.43 (1 + 0.028/2) ^ 2*18 = <span>
<span>4373.67538
</span></span><span> 4373.67538-</span>2651.43=<span>
<span>1722.24538
</span></span> answer
<span><span> 1722.25$</span></span>
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