An account invested in a money market fund grew from $73,377.34 to $73,677,48 in a month What was the interest rate to the nearest tenth? What was the interest rate?

Respuesta :

Answer:

The rate is 4.9%.

Step-by-step explanation:

The compound interest formula is :

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

A = 73677.48

p = 73377.34

r = ?

n = 12

t = 1/12

Putting the values in formula we get;

[tex]73677.48=73377.34(1+\frac{r}{12})^{12*1/12}[/tex]

=> [tex]73677.48=73377.34(1+\frac{r}{12})^{1}[/tex]

=> [tex]\frac{73677.48}{73377.34} =(1+\frac{r}{12})[/tex]

=> [tex]1.004090=(\frac{12+r}{12})[/tex]

=> [tex]12.04908=12+r[/tex]

=> [tex]r = 12.04908-12[/tex]

r = 0.04908

or r = 4.9%

Therefore, the interest rate is 4.9%.