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Mashutka [201]
3 years ago
14

60 POINTS, BOTH PARTS

Mathematics
1 answer:
kap26 [50]3 years ago
4 0

Answer:

  • D) y = 23(0.995)^x
  • 85 years

Step-by-step explanation:

<h3>Part A</h3>
  • Initial number of clients = 23
  • Decrease rate = 0.5%
  • Time = x years

<u>Required function:</u>

  • y = 23(1 - 0.5/100)^x = 23(0.995)^x
<h3>Part B</h3>

y = 15, x = ?

  • 15 = 23(0.995)^x
  • (0.995)^x = 15/23
  • (0.995)^x = 0.65217391304
  • x log 0.995 = log 0.65217391304
  • x = log 0.65217391304 / log 0.995
  • x = 85 years
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