Precalculus Examples

Solve for P P(5)=450/(1+5e^(-0.45(5)))
Step 1
Simplify.
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Step 1.1
Multiply by .
Step 1.2
Rewrite the expression using the negative exponent rule .
Step 1.3
Combine and .
Step 1.4
Simplify the denominator.
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Step 1.4.1
Write as a fraction with a common denominator.
Step 1.4.2
Combine the numerators over the common denominator.
Step 1.5
Multiply the numerator by the reciprocal of the denominator.
Step 1.6
Combine and .
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Divide by .
Step 2.3
Simplify the right side.
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Step 2.3.1
Multiply the numerator by the reciprocal of the denominator.
Step 2.3.2
Cancel the common factor of .
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Step 2.3.2.1
Factor out of .
Step 2.3.2.2
Cancel the common factor.
Step 2.3.2.3
Rewrite the expression.
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form: