The population of a city is 45,000. The city grows continuously by 2.1% per year.
If this trend continues, in how many years will the the city be growing by 1,200 people per year?
If this trend continues, in how many years will the the city be growing by 1,200 people per year?
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A = Pe^rt
A' = Pre^rt
plugging in, we have
1200 = 45000*.021e^(.021t)
e^(.021t) = 1200/945
.021t = ln(1200/945)
t = ln(1200/945)/.021 = 11.376 yrs <------
A' = Pre^rt
plugging in, we have
1200 = 45000*.021e^(.021t)
e^(.021t) = 1200/945
.021t = ln(1200/945)
t = ln(1200/945)/.021 = 11.376 yrs <------