A computer is purchased for $4100. Its value each year is about 75% of the value the preceding year. Its value, in dollars, after t years is given by the exponential function $\mathrm { V } ( \mathrm { t } ) = 4100 ( 0.75 ) ^ { \mathrm { t } }$ Find the value of the computer after
2 years.
A) $1297.27
B) $1729.69
C) $2306.25
D) $6150.00

Question

Quizplus · Accepted Answer

The value of the computer after 2 years can be calculated by substituting $t = 2$ into the given exponential function: $V(2) = 4100(0.75)^2 = 4100 \times 0.5625 = 2306.25$.

A Computer Is Purchased for $4100 V(t)=4100(0.75)t\mathrm { V } ( \mathrm { t } ) = 4100 ( 0.75 ) ^ { \mathrm { t } }V(t)=4100(0.75)t

A Computer Is Purchased for $4100 $\mathrm { V } ( \mathrm { t } ) = 4100 ( 0.75 ) ^ { \mathrm { t } }$