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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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Elza [17]
X can equal 2/4
a can equal 1/4

Or x can equal 1/4
and a can equal 2/4

Or x can equal -2/4
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There's a series of values so just pick one set above unless you need the others.
4 0
3 years ago
Please help me. This is real confusing. ​
katrin2010 [14]

Answer:

1st problem: b) A=2500(1.01)^{12t}

2nd problem:  c) A=2500e^{.12t}

Step-by-step explanation:

1st problem:

The formula/equation you want to use is:

A=P(1+\frac{r}{n})^{nt}

where

t=number of years

A=amount he will owe in t years

P=principal (initial amount)

r=rate

n=number of times the interest is compounded per year t.

We are given:

P=2500

r=12%=.12

n=12 (since there are 12 months in a year and the interest is being compounded per month)

A=2500(1+\frac{.12}{12})^{12t}

Time to clean up the inside of the ( ).

A=2500(1+.01)^{12t}

A=2500(1.01)^{12t}

----------------------------------------------------

2nd Problem:

Compounded continuously problems use base as e.

A=Pe^{rt}

P is still the principal

r is still the rate

t is still the number of years

A is still the amount.

You are given:

P=2500

r=12%=.12

Let's plug that information in:

A=2500e^{.12t}.

6 0
3 years ago
Someone graph y = -3/2x - 3
patriot [66]

Answer:

Step-by-step explanation:

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2 years ago
Does anyone know how to do this?
BlackZzzverrR [31]

Answer:

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62.00000000

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3 years ago
His composite shape is a rectangle with a semicircle attached on one end. The diameter of the semicircle is 6 feet.
Vera_Pavlovna [14]
We can solve by figuring the area of the rectangle then add it to the area of the semicircle.

Area of the rectangle: length · width = 6 · 10 = 60 ft²

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Total area of the figure: 60 + 14.13 = 74.13 ft² ≈ 74 ft²
4 0
3 years ago
Read 2 more answers
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