Respuesta :

Answer: Total amount that Matthew's bank will receive $6312.40

Step-by-step explanation:

Since we have given that

Principal amount =$8000

Rate of interest = 6%

Time = 4 years

As we know the formula for " Compound Interest ":

[tex]A=P(1+\frac{r}{100})^n[/tex]

where

A denotes Amount

P denote Principle

n denotes time

r denotes rate of interest

So, our equation becomes,

[tex]A=5000(1+\frac{6}{100})^4\\\\A=5000\times (1.06)^4\\\\A=5000\times 1.262\\\\A=\$6312.40[/tex]

Hence, total amount that Matthew's bank will receive $6312.40.

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