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ANEK [815]
3 years ago
14

Help please asap !!!

Mathematics
1 answer:
Mandarinka [93]3 years ago
8 0

9514 1404 393

Answer:

  • v(t) = $342,000×1.06^t
  • v(8) = $545,096
  • v(15) = $819,623

Step-by-step explanation:

When the growth (or decay) amount is a fraction or percentage of the current amount, an exponential model is indicated. Here, it will be of the form ...

  value = (initial value) × (1 + (growth rate))^t

where t is the time period corresponding to the growth rate.

We are given that the initial value is $342,000 and the growth rate is 6% in a year. So, the model can be ...

  value = 342,000×1.06^t . . . . . where t is years after 2017

__

In 2025, we are 8 years after 2017, so the value is predicted to be ...

  value = $342,000×1.06^8 ≈ $545,096 . . . in 2025

__

In 2032, we are 15 years after 2017, so the value is predicted to be ...

  value = $342,000×1.06^15 ≈ $819,623 . . . in 2032

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