Yolanda invests $30,000 in an account that offers a compound interest rate of 7.9% per year. which of the following is the correct equation for how much yolanda will have after 10 years? possible answers here:

To solve this, we are going to use the compound interest formula: 
where
is the final amount after years
tex]P[/tex] is the initial investment 
is the interest rate in decimal form
is the number of times the interest is compounded per year
is the time in years

We know form our problem that the initial invest is $30,000 and the period is ten years, so  and . We also know that the interest is compounded one time per year, so . To convert the interest rate to decimal form, we are going to divide the rate by 100%


Lets replace the values in our formula:



Replacing  with :


We can conclude that the correct answer is D. 

Now, to find much Yolanda will have after 10 years, we just need to perform the operations in our equation: 




We can conclude that Yolanda will have $64,170.54 in her account after ten years of earning a compound interest rate of 7.9% per year.