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2 years ago

8

Suppose the population of a town is 15,200 and is growing 2% each year. Write an equation to model the population growth. Predic

t the population after 10 years

1 answer:

elena55 [62]2 years ago

7 0

The population 10 years later will have increased by 3,040, making the population 18,240.
Hope this helps.<span />

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A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, $\frac{dx}{dt}=6$ feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

≈ 1.14 ft per sec.

Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0

3 years ago

What is the value of 12 more than the quiotent of a number of and two decreased by 4 when n is 4

liberstina [14]

Answer:

<h2>10</h2>

Step-by-step explanation:

"12 more than the quiotent of a number n of and two decreased by 4"

$\left(\dfrac{n}{2}-4\right)+12$

Simplify:

$\left(\dfrac{n}{2}-4\right)+12=\dfrac{n}{2}-4+12=\dfrac{n}{2}+8$

Put n = 4 to the expresssion:

$\dfrac{4}{2}+8=2+8=10$

4 0

3 years ago

1. What percent of 600 is 12?

Ainat [17]

Answer:

2%

Step-by-step explanation:

Set up a proportion

x / 100 = 12 / 600

Cross multiply

600x = 1200

Divide both sides by 600

x = 2

I hope this helped and please mark me as brainliest!

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2 years ago

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What is the formula for slope-intercept form?

Ipatiy [6.2K]

Answer:

y = mx+b

Step-by-step explanation:

The slope intercept formula for a line is

y = mx+b where m is the slope and b is the y intercept

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2 years ago

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Helpppppp meeee please and thank you

yKpoI14uk [10]

The answer is dddddddddddd

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3 years ago