ng, in
-A veterinarian depreciates a $\$ 10,000$ X-ray machine. He estimates that the resale value $V ( t )$ (in $\$$ ) after $t$ years is $90 \%$ of its value from the previous year. Therefore, the resale value can be approximated by $V ( t ) = 10,000 ( 0.9 ) ^ { t }$.
a. Find the resale value after $3 \mathrm { yr }$.
b. If the veterinarian wants to sell his practice $10 \mathrm { yr }$ after the X-ray machine was purchased, how much is the machine worth? Round to the nearest $\$ 100$.
A) a. $\$ 7,290$; b. $\$ 3,500$
B) a. $\$ 2,710$; b. $\$ 3,500$
C) a. $\$ 2,710 ;$ b. $\$ 6,500$
D) a. $\$ 7,290 ;$ b. $\$ 6,500$

Question

Quizplus · Accepted Answer

a. The resale value after 3 years is calculated using the formula $V(t) = 10,000(0.9)^t$. For $t = 3$, $V(3) = 10,000(0.9)^3 = 10,000(0.729) = \$7,290$.b. For $t = 10$, $V(10) = 10,000(0.9)^{10} \approx \$3,486$, which rounds to the nearest $100 as \$3,500.

Ng, in -A Veterinarian Depreciates A $10,000\$ 10,000$10,000 X-Ray Machine V(t)V ( t )V(t)

Ng, in
-A Veterinarian Depreciates A $\$ 10,000$ X-Ray Machine $V ( t )$