Asked by Sam
A new automobile costs $32,000. The value of the same automobile after t years is given by V = 32000(0.8)t. The following steps determine how many years it will take for the value to decrease to one-eighth the initial value, which is $4,000.
1)weneedtocompute(0.8)t=1/8
,sowetakelogarithmofbase10onboth side: write out the result.
2) using the fact that log102 = 0.3010, compute log108. [hint: 23 = 8]
3) use the result of log108, compute log10 (1/8). [hint: 1/8 = 8-1]
4) use the result of log108, compute log100.8 [hint: 0.8 = 8/10]
5) use the result of 3) and 4), solve for t in 1)
1)weneedtocompute(0.8)t=1/8
,sowetakelogarithmofbase10onboth side: write out the result.
2) using the fact that log102 = 0.3010, compute log108. [hint: 23 = 8]
3) use the result of log108, compute log10 (1/8). [hint: 1/8 = 8-1]
4) use the result of log108, compute log100.8 [hint: 0.8 = 8/10]
5) use the result of 3) and 4), solve for t in 1)
Answers
There are no human answers yet.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.