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olya-2409 [2.1K]
2 years ago
8

Suppose a city with population 500,000 has been growing at a rate of ​7% per year. If this rate​ continues, find the population

of this city in 21 years?
Mathematics
1 answer:
krok68 [10]2 years ago
5 0

Answer:

2,070,281

Step-by-step explanation:

let x = number of years

let y = population

Given:

  • initial population = 500000
  • rate of increase = 7%

y = 500000 × 1.07^x

when x = 21:

y = 500000 × 1.07^(21) = 2070281.187... = 2,070,281

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Answer:

17.B

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20.C

Step-by-step explanation:

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19.

w^{2} +w-20=w^2+5w-4w-20=w(w+5)-4(w+5)=(w+5)(w-4)\\(w-3)(w-4)=w(w-4)-3(w-4)=w^2-4w-3w+12=w^2-7w+12\\reqd.~fraction ~is~ \frac{w^2-7w+12}{w^2+w-20}

20.

\frac{w^2+5w+6}{w^2-w-12} =\frac{w^2+3w+2w+6}{w^2-4w+3w-12} =\frac{w(w+3)+2(w+3)}{w(w-4)+3(w-4)} =\frac{(w+3)(w+2)}{(w-4)(w+3)} =\frac{w+2}{w-4}

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3 years ago
A can of soda is labeled as containing 15 fluid ounces. The quality control manager wants to verify that the filling machine is
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Step-by-step explanation:

Let \mu be the average amount of fluid per can.

Given claim : A can of soda is labeled as containing 15 fluid ounces.

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The quality control manager wants to verify that the filling machine is not over dash filling the cans.

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Since null hypothesis always contains equals sign.

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Also, the quality control manager obtains a sample of 78 cans and measures the contents.

The sample evidence leads the manager to reject the null hypothesis.

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Answer:

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2/3 of the team from the teapot is needed to fill 1 container

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Answer:

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