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

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

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

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

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))

Solving MATH problems