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noname [10]
3 years ago
5

100 BRAINLY POINTS

Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer:

  • After 17 years and 3 months

Step-by-step explanation:

<u>Given function:</u>

  • f(x)=18000(0.88)^x

We are looking for the value of x at f(x) < 2000

<u>Solve the equation:</u>

  • 2000 = 18000(0.88)^x
  • (0.88)^x = 2000/18000
  • (0.88)^x = 0.1111
  • log (0.88)^x = log 0.1111
  • x = log 0.1111 / log 0.88
  • x = 17.18

After 17 years and 3 months the car value drops below $2,000

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