Asked by stephanie santacruz on Apr 27, 2024
Verified
Evaluate the function as indicated. Round to three decimal places if necessary.
10,000(1.07) 4tt=1\begin{array}{ c}10,000 ( 1.07 ) ^ { 4 t } \\ t = 1\end{array}10,000(1.07) 4tt=1
A) 13,107.960
B) 1310.796
C) 10,700.000
D) 42,800.000
E) 44,076.205
\(10,000(1.07)^{4t}\)
An exponential growth equation, where \(10,000\) is the initial quantity and \(1.07\) is the growth factor applied every period \(t\), scaled by a factor of 4.
- Acquire knowledge on the evaluation process of exponential functions with determined inputs.
Verified Answer
HB
Hayleigh BrookMay 01, 2024
Final Answer :
A
Explanation :
Substituting t=1t = 1t=1 into the given function 10,000(1.07)4(1)10,000(1.07)^{4(1)}10,000(1.07)4(1) results in 10,000(1.07)410,000(1.07)^410,000(1.07)4 , which equals approximately 13,107.960 when calculated.
Learning Objectives
- Acquire knowledge on the evaluation process of exponential functions with determined inputs.
Related questions
Evaluate the Expression 6 ^ { \sqrt { 2 } } ...
Evaluate the Function as Indicated \(\begin{aligned} G ( x ) & = ...
Evaluate the Function as Indicated \(\begin{array} { c } 10,000 ( ...
Evaluate the Function as Indicated \(\begin{aligned} G ( x ) & = ...
Evaluate the Function as Indicated \(\begin{aligned} G ( x ) & = ...