Lindsay invested $4500 at 4% interest compounded annually.

How much interest will she earn in 10 years?

$180.00

$187.27

$1800.00

$2161.10

Respuesta :

Answer:

[tex]\$2,161.1[/tex]

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]  

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  

[tex]t=10\ years\\P=\$4,500\\ r=0.04\\n=1[/tex]  

substitute in the formula above  

[tex]A=\$4,500(1+\frac{0.04}{1})^{1*10}[/tex]  

[tex]A=\$4,500(1.04)^{10}[/tex]

[tex]A=\$6,661.10[/tex]    

Find the interest

[tex]I=A-P[/tex]

[tex]I=\$6,661.10-\$4,500=\$2,161.1[/tex]

Answer:

2161.10

Step-by-step explanation: