Answer :
To find the value of [tex]\( f(4) \)[/tex] for the function [tex]\( f(t) = 500 \times 0.7^t \)[/tex], we'll substitute [tex]\( t \)[/tex] with 4 and calculate the value step by step.
1. Begin with the function:
[tex]\[
f(t) = 500 \times 0.7^t
\][/tex]
2. Substitute [tex]\( t = 4 \)[/tex] into the function:
[tex]\[
f(4) = 500 \times 0.7^4
\][/tex]
3. Calculate [tex]\( 0.7^4 \)[/tex]:
[tex]\[
0.7^4 = 0.7 \times 0.7 \times 0.7 \times 0.7 = 0.2401
\][/tex]
4. Multiply the result by 500:
[tex]\[
500 \times 0.2401 = 120.05
\][/tex]
Therefore, the value of [tex]\( f(4) \)[/tex] is approximately 120.05. The correct answer is:
a. 120.05
1. Begin with the function:
[tex]\[
f(t) = 500 \times 0.7^t
\][/tex]
2. Substitute [tex]\( t = 4 \)[/tex] into the function:
[tex]\[
f(4) = 500 \times 0.7^4
\][/tex]
3. Calculate [tex]\( 0.7^4 \)[/tex]:
[tex]\[
0.7^4 = 0.7 \times 0.7 \times 0.7 \times 0.7 = 0.2401
\][/tex]
4. Multiply the result by 500:
[tex]\[
500 \times 0.2401 = 120.05
\][/tex]
Therefore, the value of [tex]\( f(4) \)[/tex] is approximately 120.05. The correct answer is:
a. 120.05
