Answer:
$10,285.72
Explanation:
In this scenario, we can use the compound interest formula to calculate the total after 10 years. The formula is the A = P * [tex](1 + r/n)^{nt}[/tex]
where,
A = final value after interest
P = initial investment amount
r = annual interest rate in decimal form
n = number of time the interest is compounded based on t
t = total amount of time
In this case, the interest is compounded quarterly meaning 4 times a year, therefore we can plug all the values into the formula and solve for A
A = P * [tex](1 + r/n)^{nt}[/tex]
A = 1000 * [tex](1 + 0.24/4)^{4*10}[/tex]
A = 1000 * [tex](1.06)^{40}[/tex]
A = 1000 * 10.2857
A = 10,285.72
Therefore after 10 years the account will have a total of $10,285.72
