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The population of a small town is growing at a rate of 5% per year. If the population right now is 22 000, What will the population be 10 years from now?

Sagot :

Answer:

35,836

Step-by-step explanation:

I had this question before and I believe this is correct.

Answer:

the population 35,836 in 10 years.

Step-by-step explanation:

The numbers representing the population in consecutive years create a geometrical sequence with:

a1 = 22,000

and

q = 1 + 0.5 = 1.05

We are asked to find the population after

10 years. This number is the eleventh term in the sequence, so we are looking for:

a11 = a1 ⋅ q^10 = 22, 000 ⋅ (1.05)^10

After substitution of given data we have:

a11 ≈ 35, 836

*Answer:* "After 10 years the population will be 35, 836."