algebra problem help?
Currently, the population of the metropolitan Waterville area is 62,700 and is increasing at an annual rate of 3.25%. This situation can be modeled by the equation P(t)=62,700(1.0325)^t, where P(t) represents the total population and t represents the number of years from now.
find the population of the waterville area to the nearest hundread, seven years from now
Determine how many years, to the nearest tenth, it will take for the original population to reach 100,000.
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Answers & Comments
7 years from now - 78432.844 ~ 78400
For the second question use logarithms.
14.60 years
P(7) = 62,700 • (1.0325)^7
∙ ∙ ∙ ∙= 62,700 • 1.2509
∙ ∙ ∙ ∙= 78,432.8 ≈ 78,400
100,000 = 62,700 • 1.0325^t
1.5949 = 1.0325^t
log 1.5949 = t log 1.0325
t = log 1.5949 / log 1.0325 = 14.6 yr