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s344n2d4d5 [400]
10 months ago
14

A city's population is currently 189,000. If the population doubles every 55 years, what willthe population be 275 years from no

w?
Mathematics
1 answer:
Fantom [35]10 months ago
3 0

ANSWER

6,048,000

EXPLANATION

The population doubles every 55 years. This implies that the rate of increase is 200% or 2 times and the time will be measured in terms of 55 years.

We can write an exponential function representing this:

A=A_0\cdot r^{\frac{t}{55}}

where t = number of years

r = rate = 2

A0 = initial population of city

We have to solve for A when t = 275.

Therefore:

\begin{gathered} A=189000\cdot2^{(\frac{275}{55})} \\ A=189000\cdot2^5 \\ A=6,048,000 \end{gathered}

That will be the population 275 years from now.

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