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Using the formula in model 1, choose the correct answers for the total amount and amount of interest earned in the following compound interest problem. $5,000 at 3% for 7.0 years, compounded annually.


Total Amount = $

Interest Amount =$

Verified Answer :

Aliwohaish12

A=5,000×(1+0.03)^(7)
A=6,149.37
Interest earned=1149.37

Answer:

1) Total amount = $6149.35

2) Interest amount = $1149.35

Step-by-step explanation:

Given : Compound interest problem-  $5,000 at 3% for 7.0 years,compounded annually.

To find :  

1) Total Amount = $  

2) Interest Amount =$

Solution :

Using compound interest formula,

\(A=P(1+r)^t\)

Where A is the amount  

P is the principle P=5000

r is the rate r=3%=0.03

t is the time t= 7 years

Substitute the value,

\(A=P(1+r)^t\)

\(A=(5000)(1+0.03)^7\)

\(A=(5000)(1.03)^7\)

\(A=5000\times 1.2298\)

\(A=6149.35\)

Total amount = $6149.35

Interest amount = Total amount - Principle

Interest amount =$6149.35 - $5000

Interest amount = $1149.35