select the correct answer.\njessie is making a $5,000 investment that will be compounded annually at 10% for…

select the correct answer.\njessie is making a $5,000 investment that will be compounded annually at 10% for the next 10 years. whats the future value of the original investment?\n\na. $5,523\nb. $12,969\nc. $13,535\nd. $13,677

select the correct answer.\njessie is making a $5,000 investment that will be compounded annually at 10% for the next 10 years. whats the future value of the original investment?\n\na. $5,523\nb. $12,969\nc. $13,535\nd. $13,677

Answer

Explanation:

Step1: Identify compound - interest formula

The formula for compound interest is $A = P(1 + r)^n$, where $A$ is the future value, $P$ is the principal amount, $r$ is the annual interest rate (in decimal form), and $n$ is the number of years.

Step2: Convert the percentage to decimal

Given $r = 10%=0.1$, $P=$5000$, and $n = 10$.

Step3: Substitute values into formula

$A=5000\times(1 + 0.1)^{10}$.

Step4: Calculate $(1 + 0.1)^{10}$

$(1 + 0.1)^{10}=1.1^{10}\approx2.59374$.

Step5: Calculate the future value

$A = 5000\times2.59374=$12968.7\approx$12969$.

Answer:

B. $$12,969$