Solve the Problem $\mathrm { P } ( \mathrm { t } ) = \frac { 250 } { 5 + 44.99 \mathrm { e } ^ { - 0.0208 \mathrm { t } } }$

question 58

Essay

Solve the problem.
-In 1992, the population of a country was estimated at 5 million. For any subsequent year, the population, P(t) (in
millions), can be modeled using the equation $\mathrm { P } ( \mathrm { t } ) = \frac { 250 } { 5 + 44.99 \mathrm { e } ^ { - 0.0208 \mathrm { t } } }$ , where t is the number of years since
1992. Determine the year when the population will be 39 million.

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Definitions:

Taxable Income

The amount of income on which the income tax is determined.

Standard Deduction

A set amount that reduces the income subject to tax, which taxpayers can claim on their tax return, as an alternative to itemizing deductions.

Exemption

A deduction allowed by law to reduce the amount of income that would otherwise be taxed.

Property Taxes

Property Taxes are levies on property owned by individuals or other legal entities, usually based on the value of the property.