Solve for r 8360=8000(1+r(1))

Math
8360=8000(1+r(1))
Rewrite the equation as 8000(1+r(1))=8360.
8000(1+r(1))=8360
Multiply r by 1.
8000(1+r)=8360
Divide each term by 8000 and simplify.
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Divide each term in 8000(1+r)=8360 by 8000.
8000(1+r)8000=83608000
Cancel the common factor of 8000.
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Cancel the common factor.
8000(1+r)8000=83608000
Divide 1+r by 1.
1+r=83608000
1+r=83608000
Cancel the common factor of 8360 and 8000.
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Factor 40 out of 8360.
1+r=40(209)8000
Cancel the common factors.
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Factor 40 out of 8000.
1+r=40⋅20940⋅200
Cancel the common factor.
1+r=40⋅20940⋅200
Rewrite the expression.
1+r=209200
1+r=209200
1+r=209200
1+r=209200
Move all terms not containing r to the right side of the equation.
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Subtract 1 from both sides of the equation.
r=209200-1
To write -1 as a fraction with a common denominator, multiply by 200200.
r=209200-1⋅200200
Combine -1 and 200200.
r=209200+-1⋅200200
Combine the numerators over the common denominator.
r=209-1⋅200200
Simplify the numerator.
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Multiply -1 by 200.
r=209-200200
Subtract 200 from 209.
r=9200
r=9200
r=9200
The result can be shown in multiple forms.
Exact Form:
r=9200
Decimal Form:
r=0.045
Solve for r 8360=8000(1+r(1))

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