Solve for R 7250=5100(1+R)^120

Math
7250=5100(1+R)120
Rewrite the equation as 5100(1+R)120=7250.
5100(1+R)120=7250
Divide each term by 5100 and simplify.
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Divide each term in 5100(1+R)120=7250 by 5100.
5100(1+R)1205100=72505100
Cancel the common factor of 5100.
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Cancel the common factor.
5100(1+R)1205100=72505100
Divide (1+R)120 by 1.
(1+R)120=72505100
(1+R)120=72505100
Cancel the common factor of 7250 and 5100.
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Factor 50 out of 7250.
(1+R)120=50(145)5100
Cancel the common factors.
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Factor 50 out of 5100.
(1+R)120=50⋅14550⋅102
Cancel the common factor.
(1+R)120=50⋅14550⋅102
Rewrite the expression.
(1+R)120=145102
(1+R)120=145102
(1+R)120=145102
(1+R)120=145102
Take the 120th root of each side of the equation to set up the solution for R
(1+R)120⋅1120=±145102120
Remove the perfect root factor 1+R under the radical to solve for R.
1+R=±145102120
Rewrite 145102120 as 145120102120.
1+R=±145120102120
The complete solution is the result of both the positive and negative portions of the solution.
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First, use the positive value of the ± to find the first solution.
1+R=145120102120
Subtract 1 from both sides of the equation.
R=145120102120-1
Next, use the negative value of the ± to find the second solution.
1+R=-145120102120
Subtract 1 from both sides of the equation.
R=-145120102120-1
The complete solution is the result of both the positive and negative portions of the solution.
R=145120102120-1,-145120102120-1
R=145120102120-1,-145120102120-1
The result can be shown in multiple forms.
Exact Form:
R=145120102120-1,-145120102120-1
Decimal Form:
R=0.00293564…,-2.00293564…
Solve for R 7250=5100(1+R)^120

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