Mathematics, 18.11.2019 19:31 irenemonte

If the population of a town is decreasing by 4% per year and started with 12,500 residents, which of the following is its projected population in 10 years?

1-9,230
2-76
3-18,503
4-8,310

Answers: 2

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Answers

Answer from: josefaarancibia5

The population of town after 10 years is 8300 unit .

Step-by-step explanation:

Given as :

The rate of decrease of population of town = 4%

The initial population of town = 12,500 unit

Let The population of town after 10 years = P

So ,

The population of town after n years = initial population × $(1-\frac{Rate}{100})^{n}$

Or, The population of town after 10 years = 12,500 × $(1-\frac{4}{100})^{10}$

Or, The population of town after 10 years = 12,500 × $(0.96)^{10}$

∴ The population of town after 10 years = 12,500 × 0.664 = 8300 unit

Hence The population of town after 10 years is 8300 unit . Answer

Answer from: ReeseMoffitt8032

The population after 10 years will be 8310 approximately.

Option - 4

SOLUTION:

Given that, the population of a town is decreasing by $4\%$ per year and started with 12,500 residents,

We have to find its projected population in 10 years. We can use the formula

$\text { present population }=\text { previous population } \times\left(1-\frac{\text {rate}}{100}\right)^{\text {times\times period }}$

Then, population after 10 years $=12500 \times\left(1-\frac{4}{100}\right)^{10}$

$\begin{array}{l}{\Rightarrow 12500 \times(1-0.04)^{10}} \\\\ {\Rightarrow 12500 \times 0.96^{10}} \\\\ {\Rightarrow 12500 \times 0.6648} \\\\ {\Rightarrow 8310.407\rightarrow 8310.407\approx 8310}\end{array}$

ROUNDING OFF RULES:

Step 1: First, look at the digit to the immediate right of rounding off the digit

Step 2: If that digit is less than 5, do not change the rounding digit but drop all digits to the right of it.

Step 3: If that digit is greater than or equal to five, add one to the rounding digit and drop all digits to the right of it.

Answer from: Quest

the length of o'p' is $1.5\times op$ .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

$k=\frac{o'p'}{op}$

the scale factor is 1.5.

$1.5=\frac{o'p'}{op}$

multiply both sides by op.

$1.5\times op=o'p'$

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is $1.5\times op$ .

Answer from: Quest

$18.25 ($365 divided by 20)

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If the population of a town is decreasing by 4% per year and started with 12,500 residents, which of...

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