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Math Help???????

Use the formula A=P ( 1+ r/n)nt  to solve the compound interest problem 
Find how long it takes a $1700 investment to earn $500 interest if it is invested at 7% compounded quarterly.
$500 interest will be earned in approximately ????? years 
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1 Answer

You need to rearrange to isolate the variable t.
Starting with the formula
A = P (1+r/n)nt
Isolate term with unknown exponent
A/P = (1+r/n)nt
It might be useful to plug the values in, at this step, to simplify the work.
(1700+500)/1700 = (1 + .07/4)4t
1.29412 = (1.0175)4t
Rearrange a little, to simplify, a little more, moving the constant part of the exponent into the parentheses
1.29412 = (1.01754)t
Evaluate the statement in parentheses
1.29412 = (1.07186)t
Take log of both sides to eliminate the exponent.
log 1.29412 = log 1.07186t
Use power property of exponents
log 1.29412 = t * log 1.07186
Isolate the variable
t = log 1.29412/log 1.07186
Evaluate, then round to appropriate figures.