Basic Math Examples

Solve for P A=(P(1+r/n)^(nt)-1)/(r/n)
Step 1
Rewrite the equation as .
Step 2
Multiply both sides by .
Step 3
Simplify.
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Step 3.1
Simplify the left side.
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Step 3.1.1
Simplify .
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Step 3.1.1.1
Multiply the numerator by the reciprocal of the denominator.
Step 3.1.1.2
Multiply by .
Step 3.1.1.3
Combine.
Step 3.1.1.4
Cancel the common factor of .
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Step 3.1.1.4.1
Cancel the common factor.
Step 3.1.1.4.2
Rewrite the expression.
Step 3.1.1.5
Cancel the common factor of .
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Step 3.1.1.5.1
Cancel the common factor.
Step 3.1.1.5.2
Divide by .
Step 3.1.1.6
Reorder and .
Step 3.2
Simplify the right side.
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Step 3.2.1
Combine and .
Step 4
Solve for .
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Step 4.1
Add to both sides of the equation.
Step 4.2
Divide each term in by and simplify.
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Step 4.2.1
Divide each term in by .
Step 4.2.2
Simplify the left side.
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Step 4.2.2.1
Cancel the common factor of .
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Step 4.2.2.1.1
Cancel the common factor.
Step 4.2.2.1.2
Divide by .
Step 4.2.3
Simplify the right side.
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Step 4.2.3.1
Simplify each term.
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Step 4.2.3.1.1
Multiply the numerator by the reciprocal of the denominator.
Step 4.2.3.1.2
Combine.
Step 4.2.3.1.3
Multiply by .
Step 4.2.3.1.4
Simplify the denominator.
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Step 4.2.3.1.4.1
Write as a fraction with a common denominator.
Step 4.2.3.1.4.2
Combine the numerators over the common denominator.
Step 4.2.3.1.4.3
Apply the product rule to .
Step 4.2.3.1.5
Combine and .
Step 4.2.3.1.6
Multiply the numerator by the reciprocal of the denominator.
Step 4.2.3.1.7
Cancel the common factor of and .
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Step 4.2.3.1.7.1
Factor out of .
Step 4.2.3.1.7.2
Cancel the common factors.
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Step 4.2.3.1.7.2.1
Factor out of .
Step 4.2.3.1.7.2.2
Cancel the common factor.
Step 4.2.3.1.7.2.3
Rewrite the expression.
Step 4.2.3.1.8
Multiply .
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Step 4.2.3.1.8.1
Combine and .
Step 4.2.3.1.8.2
Combine and .
Step 4.2.3.1.9
Simplify the denominator.
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Step 4.2.3.1.9.1
Write as a fraction with a common denominator.
Step 4.2.3.1.9.2
Combine the numerators over the common denominator.
Step 4.2.3.1.9.3
Apply the product rule to .
Step 4.2.3.1.10
Multiply the numerator by the reciprocal of the denominator.
Step 4.2.3.1.11
Multiply by .
Step 4.2.3.2
Combine the numerators over the common denominator.