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lloyd opened a savings account 13 years ago with a deposit of $5,003.86 the account has an interest rate of 3.7% compounded daily. How much interest has Lloyd earned?
5,189.00
8,024.70
3,090.64
8,094.50

Respuesta :

the answer to this question is"D"

Answer:

Option C is the answer: $3,090.64

Step-by-step explanation:

Lloyd opened a savings account 13 years ago with a deposit of $5,003.86 the account has an interest rate of 3.7% compounded daily.

Means p = 5003.86

r = 3.7% or 0.037

t = 13

n = 365 (assuming there are 365 days in a year)

[tex]A=p(1+\frac{r}{n} )^{nt}[/tex]

[tex]A=5003.86(1+\frac{0.037}{365} )^{4745}[/tex]

=> [tex]A=5003.86(1.00010136)^{4745}[/tex]

A = $8094.09

Interest earned = [tex]8094.09-5003.86=3090.26[/tex] dollars

This is closest to option C, hence, option C is the answer.