SOLUTION: How much should you invest in an account earning 4% compounded quarterly to get $1000 after 5 years?

Question 867038: How much should you invest in an account earning 4% compounded quarterly to get $1000 after 5 years?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
We'll use the formula

where,

A = final amount
P = initial amount (the amount deposited or invested)
r = interest rate (in decimal form)
n = compounding frequency
t = time in years

----------------------------

In this case,

A = 1000 (we want $1000 at the end of the time period)
P = unknown (we're solving for this)
r = 0.04 (from 4% interest)
n = 4 (compounded quarterly means compounded 4 times a year)
t = 5 (from 5 years)

-----------------------------

Plug those values into the equation and solve for P to get

Round to the nearest penny.

So you need to invest $819.54
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