Sunshinestar680 Sunshinestar680
  • 01-07-2018
  • Mathematics
contestada

growth:
[tex]a = p(1 + r) ^{n} [/tex]
Use the general formula to find the population of 1,000 people after 5 years with an increasing at rate of 5% each year.

Respuesta :

MarkV
MarkV MarkV
  • 01-07-2018
Hi there!

As you mentioned in the question -- growth:
[tex]a = p(1 + r) ^{n} [/tex]

We plug in the data from the question into the formula to find our answer.

p = initial value = 1,000 people
r = increasing rate = 5% = 0.05
(We've found this number by dividing by 100)
n = amount of years = 5
a = outcome

[tex]a = 1000(1 + 0.05) {}^{5} \\ a = 1000(1.05) {}^{5} \\ a = 1276.28[/tex]
Therefore the population consists of 1276 people after 5 years.
~ Hope this helps you!
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