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heintzelmanvp6ir6d
25.06.2019 •
Mathematics
Write an exponential function to model the following situation. a population of 110,000 grows 4% per year for 15 years. how much will the population be after 15 years?
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Ответ:
For 15 years -![110,000(1.04)^{15}](/tpl/images/0013/8724/d3ad2.png)
After 15 years -![110,000(1.04)^{x+15}](/tpl/images/0013/8724/cb4df.png)
Step-by-step explanation:
We have that,
Initial population is 110,000 which grows by the rate 4% i.e. 0.04 for 15 years.
Since, the exponential growth is given by
,
where P is the initial population, r is the rate of interest and x is the number of years.
Thus, the required population is
i.e.
.
Moreover, after 15 years i.e. x+15 years, the population will be
.
Thus, the population after 15 years is
.
Ответ: