Leo deposited $7,770.11 in an account that earned 2.5% interest compounded weekly for 13
years. After 13 years, how much had Leo earned in interest?

Respuesta :

Answer:

The amount which Leo earned weekly is $10747.616

Step-by-step explanation:

Given as :

Principal deposited in account = $7,770.11

The compounded weekly rate of interest = 2.5%  

The time period of loan = 13 years

Let the amount Leo earned = A

From compounded method

Amount = Principal × [tex](1 + \frac{Rate}{52\times 100})^{52\times Time}[/tex]

Or, Amount = $7,770.11 × [tex](1 + \frac{2.5}{52\times 100})^{52\times 13}[/tex]

Or, Amount = $7,770.11 ×[tex]( 1.000480)^{676}[/tex]

Or, Amount = $7,770.11 × 1.3832

∴    Amount = $10747.616

Hence The amount which Leo earned weekly is $10747.616  Answer