Asked by Hannah Butler on Mar 10, 2024
Verified
Evaluate the function as indicated. Round to three decimal places if necessary. 10,000(1.01) 3tt=3\begin{array} { c } 10,000 ( 1.01 ) ^ { 3 t } \\t = 3\end{array}10,000(1.01) 3tt=3
A) 10,303.010
B) 10,936.853
C) 91,999.387
D) 4702.847
E) 90,900.000
Three Decimal Places
A numerical representation accurate to the third digit to the right of the decimal point.
\(10,000(1.01)^{3t}\)
An exponential function representing the growth of an initial quantity where 10,000 is the initial value, 1.01 is the growth factor, and \(3t\) denotes the rate and time variable.
- Understand the method of evaluating exponential functions with specific inputs.
Verified Answer
IZ
Irene ZazuetaMar 10, 2024
Final Answer :
B
Explanation :
Substituting $t=3$ into the function gives $10,000(1.01)^{3(3)}=10,000(1.01)^9\approx 10,936.853$. This is rounded to three decimal places. Therefore, the answer is choice B.
Learning Objectives
- Understand the method of evaluating exponential functions with specific inputs.
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