jensoriacalzadi4032 jensoriacalzadi4032
  • 10-08-2021
  • Mathematics
contestada

A population of size 3,624 grows at a rate of 3% per year, compounded continuously. How big will the population be in 2 years?

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 13-08-2021

Answer:

Step-by-step explanation:

The continuous compound formula is

[tex]y=Pe^{rt[/tex] where P is the principle or starting value, r is the growth rate in decimal form, and t is the time in years. For us:

[tex]y=3624e^{(.03)(2)}\\y=3624e^{.06}\\y=3624(1.061836547)\\y=3848.09[/tex]

which would probably round to just 3848 people.

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