Question

a population is growing continuously at a rate of 5%. if the population is now 3400, what will it be in 17 years?

Answer 1

Answer:

7793

Step-by-step explanation:

3400 x 1.05^17 = 7792.862

Answer 2

Answer:

The population would be 7792.86 or when rounded would be 7793

Step-by-step explanation:

This question is an example of a repeated percentage change

To work this out you would first have to convert the percentage of 5 into a decimal. You can do this by dividing 5 by 100, this gives you 0.05. This is because percentages are out of 100.

The next step is to add 0.05 to 1, which gives you 1.05. This is  because we are increasing the amount by 5% annually.  

The final step is to multiply the amount of 3400 by 1.05 to the power of 17, this gives you 7792.86. This is because we are finding 5% and adding it to the amount and finding 5% of that new amount, this will continue 17 times.

1) Divide 5 by 100.

$5/100=0.05$

2) Add 0.05 to 1.

$0.05+1=1.05$

3) Multiply 3400 by 1.05 to the power of 17.

$3400*1.05^{17} = 7792.86$

4) Round to the nearest whole number.

7793