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e-lub [12.9K]
3 years ago
9

A city has a population of 210,000 people. Suppose that each year the population grows by 3.25% . What will the population be af

ter 10 years?
Use the calculator provided and round your answer to the nearest whole number.
Mathematics
1 answer:
serg [7]3 years ago
5 0

Answer: the population be after 10 years is 289145

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 210000

r = 3.25% = 3.25/100 = 0.0325

t = 10 years

Therefore,

y = 210000(1 + 0.0325)^10

y = 210000(1.0325)^10

y = 289145

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vitfil [10]

Answer:

x = 27

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following:

(x + 8)/10 = (2x - 5)/14

Cross multiply

14(x + 8) = 10(2x - 5)

14x + 112 = 20x - 50

Collect like terms

14x - 20x = -112 - 50

-6x = -162

Divide both sides by -6

-6x/-6 = -162/-6

x = 27

8 0
2 years ago
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BartSMP [9]
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5 0
3 years ago
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Ryan earns $5 for each small dog he walks and $8 for each large dog he walks. Today he walked 9 dogs and made a total of $51. Ho
Shalnov [3]
Use a system of equations.

(x=# of small dogs, y=# of big dogs)

x+y=9 (times by -5) -5x-5y=-45
5x+8y=51

Then add the equations together and the x's cancel. 

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6 0
3 years ago
What is the equation of the line that passes through the points (-2, 1) and (6, 3)?
earnstyle [38]

Answer:

y = \frac{1}{4} x + \frac{3}{2}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 2, 1 ) and (x₂, y₂ ) = (6, 3 )

m = \frac{3-1}{6-(-2)} = \frac{2}{6+2} = \frac{2}{8} = \frac{1}{4} , then

y = \frac{1}{4} x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (6, 3 ) , then

3 = \frac{3}{2} + c ⇒ c = 3 - \frac{3}{2} = \frac{3}{2}

y = \frac{1}{4} x + \frac{3}{2} ← equation of line

3 0
1 year ago
Kelly drew a circle with a diameter of 8cm Paige drew a circle with a radius of 3cm approximately how much larger is the area of
nlexa [21]

Answer:

15.7

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d = 2r

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area (kelly) = 4 x4 x \pi = 16\pi

area (paige) =  3 x 3 x \pi = 9 \pi

difference = 16 \pi - 9 \pi = 5 \pi = 15.7

8 0
3 years ago
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