Answer:
$97,958.42
Step-by-step explanation:
To solve this problem we can use the compound interest formula which is shown below:
[tex]A=P(1+r )^{t}[/tex]
P = initial balance
r = interest rate
t = time
First change 6.5% to its decimal form:
6.5% -> [tex]\frac{6.5}{100}[/tex] -> 0.065
Next plug in the values:
[tex]A=49,000(1+.065)^{11}[/tex]
[tex]A=97,958.42[/tex]
They have to pay back $97,958.42