Answered

Jeremy bought a new truck for $32,000. The value of the truck after t years can be represented by the formula V = 32,000(.8)^t. When will the truck be worth approximately $6700?

Ain 5 years
Bin 7 years
Cin 8 years
Din 9 years

Verified Answer :

apologiabiology

\(6700=32000(0.8)^t\)
divide both sides by 32000
\(\frac{67}{320}=0.8^t\)
take the ln of both sides
\(ln( \frac{67}{320})=ln(0.8^t)\)
using the property that \(ln(a^b)=b(ln(a))\)
\(ln( \frac{67}{320})=t(ln(0.8))\)
divide both sides by ln(0.8)
\(\frac{ln( \frac{67}{320}) }{ln(0.8)} =t\)
use calculator
7.00728=t
so in about 7 years


B

Answer:

7 years

Step-by-step explanation:

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