Question

I’m struggling in math right now and could use some help

Answer 1

Given:

There are given that the total population is 380000.

Step-by-step explanation:

From the given statement:

The population of the city grows 6% each year.

Then,

From the formula to find the population after 10 years:

`A=P(1+(r)/(n))^(nt)`

Where,

`\begin{gathered} P=380000 \\ r=6\%=0.06 \\ n=1 \\ t=10 \end{gathered}`

Then,

Put all the values into the above formula:

So,

From the fromula:

`\begin{gathered} A=P(1+(r)/(n))^(nt) \\ A=380000(1+(0.06)/(1))^(1(10)) \end{gathered}`

Then,

`\begin{gathered} A=380,000(1+(0.06)/(1))^(1(10)) \\ A=380,000(1.06)^(1(10)) \\ A=380,000(1.7908) \\ A=680504 \end{gathered}`

Final answer:

Hence, the total population after 10 years is 680504.