longoriamariah4964 longoriamariah4964
  • 10-06-2018
  • Mathematics
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Mary deposited $5,600 in an account, which compounded 1.9 percent quarterly, and left it there for 10 years. What was the amount in the account at the end of 10 years?

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McChuck
McChuck McChuck
  • 10-06-2018
The formula for compounded quarterly interest is:
[tex]A=S(1+ \frac{r}{n} )^{n*t}[/tex]

S is the initial amount
We are adding one because it is an increase of money.
r is the rate in decimal
n is how often money is added during one year
t is the time in years

Now we plug in variables into the equation.

[tex]A=5600(1+ \frac{0.019}{4} )^{4*10}[/tex]

A = 6768.75

The answer is $
6768.75 would be the amount of money in the account at the end of 10 years.
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