Respuesta :

Use this formula:

K = K_0 * (1+r)^n

Insert and solve for n: 

12600 = 6000 * (1+0.065)^n

n = 11.78

So about 12 quarters. 

Hope that helped.

About 12 quarters there will be $12600 in the account.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

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

It is given that if we deposit $6000 into an account paying 6.5% annual interest compounded quarterly.

Insert and solve for n:

12600 = 6000 x (1+0.065)^n

n = 11.78

Thus, about 12 quarters there is $12600 in the account.

Learn more about compound interest here:

https://brainly.com/question/1329401

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