1 Answer

DavidK · Answer 1 · 2023-01-25T04:01:27+0000

Given:

The population of a town increases by 9 % annually.

The current population is 4,500.

Required:

We need to find the equation that gives the population of the town.

Step-by-step explanation:

The population can be found by the following equation.

$Th\text{e population =4500+9 \% of 4500}$

Let now be the current population of the town =4500.

Let Next be the population of the town.

The population can be found by the following equation.

$Next\text{ =Now+9\% of Now.}$

$Next\text{ =Now+}(9)/(100)*\text{Now.}$

Take the common term now out.

$Next\text{ =Now\lparen1+}(9)/(100))$
$Use\text{ }(9)/(100)=0.09.$

$Next\text{ =Now\lparen1+0.09})$

$Next\text{ =Now\lparen1.09})$

$Next\text{ =Now}*\text{1.09}$

Final answer:

$Next\text{ =Now}*\text{1.09}$

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