$4000 principal earning 6% compounded annually after 5 years "how to solve"

Verified Answer :

Answer:

The Final Investment Value is \(5,352.90\)  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

\(A=P(1+\frac{r}{n})^{nt}\)  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal


t is Number of Time Periods  

n is the number of times interest is compounded per year


in this problem we have  

\(t=5\ years\\ P=\$4,000\\ r=0.06\ =1\)  

substitute in the formula above  

\(A=\$4,000(1+\frac{0.06}{1})^{1*5}=5,352.90\)  

The amount after 5 years is $5,352.9

Compound interest

The formula for finding the compound interest is expressed as:

  • A = P(1 + r)^t

Given the following

P = $4000

r = 6% = 0.06

t = 5

Substitute

A = 4000(1.06)^5

A = $5,352.9

Hence the amount after 5 years is $5,352.9

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