Solve the Problem $P ( t ) = 8 ( 1.0134 ) ^ { t }$

question 299

Multiple Choice

Solve the problem.
-The function $P ( t ) = 8 ( 1.0134 ) ^ { t }$ represents the population (in millions) of a country $t$ years after January 1, 2000. Write an equivalent function using base $e$ ; that is, write a function of the $P ( t ) = P _ { 0 } e ^ { r t }$ . Round $r$ to 5 decimal places. Also, determine the population for the year 2000 .

• A) \(P ( t ) = 8 e ^ { 0.01331 t }\); population in 2000: 8 million
• B) \(P ( t ) = 8 e ^ { 0.01331 t }\); population in \(2000 : 8.1\) million
• C) \(P ( t ) = 2.1 e ^ { 0.10649 t }\); population in 2000: \(2.3\) million
• D) \(P ( t ) = 2.1 e ^ { 0.10649 t }\); population in \(2000 : 2.1\) million

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Definitions:

Direct Materials

Raw materials that are traceable directly to the finished product and are an integral part of the finished product.

Flexible Budget

A budget that adjusts or flexes with changes in volume or activity, providing a more useful tool for controlling costs.

Activity Variance

The difference between the expected activity (in terms of cost, time, or resources) and the actual activity performed.

Total Expenses

The sum of all costs and expenses incurred by a business during a specific period, including operating and non-operating expenses.