The population for a city is 39,194 and grows continuously at a rate of 6.9% each year. What is the approximate population in 17 years?
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OpenStudy (kropot72):
The equation needed to solve this continuous growth question is:
\[P _{t}=P _{i}e ^{rt}\]
where Pt is the population after t years of continuous growth, Pi is the initial population, e is the exponential number, r is the annual growth rate as a decimal and t is the number of years from the initial year.
OpenStudy (anonymous):
how do uset it up
OpenStudy (anonymous):
i mean how do u set it up
OpenStudy (kropot72):
\[P _{t}=39194\times e ^{(0.069\times 17)}=you\ can\ calculate\]
OpenStudy (anonymous):
whats e
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OpenStudy (kropot72):
I told you at the beginning that e is the exponential number.
OpenStudy (anonymous):
what was yur final answer i got 4.6% ?
OpenStudy (kropot72):
the value of e is approximately 2.71828
OpenStudy (kropot72):
The final answer is a number much greater than 39,194. It is not a percentage.
OpenStudy (anonymous):
126,662
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