Khloe is going to invest $7,100 and leave it in an account for 9 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Khloe to end up with $12,600?

Respuesta :

Solution

For this case we can use the following formula:

[tex]A=Pe^{rt}^{}[/tex]

and for this case we have the following:

P= 12600

A= 7100

t = 9 years

And r is the value that we need to find, so we can do the following:

[tex]12600=7100e^{9r}[/tex]

We can do the following:

[tex]\ln (\frac{12600}{7100})=9r[/tex]

And we got for r:

[tex]r=\frac{\ln (\frac{12600}{7100})}{9}=0.0637[/tex]

And then the rate would be:

6.37%