The population of a city is growing at an uninhibited rate of 1.6% per year. The city's initial population was 125,000. How long will it take the population of that city to reach 175,000? Round to the nearest tenth.
a. 56.5 years
b. 21.0 years
c. 9.1 years
d. 37.8 years

Answers

Answer 1

Answer:

B

Step-by-step explanation:

First we find how much of 125000 is increasing. Once we do that, it is basically a slope intercept equation.

We know that 1.6 percent of 125000 is 2000.

We know have y=2000x+125000

There are two ways to solve this, either plug in the given values of a, b, c, and d into the equation and see if it equal 175000, or we we set the equation equal to 175000

If we do the second easiet option, we have

2000x+125000=175000 Use inverse operations

2000x=50000

x=25, or roughly option b.

If we plug in b, we get y=2000(21)+125000 or 167000

Answer 2

21.0 years will it take the population of that city to reach 175,000.

What is population growth rate?

Population growth rate is the change in the number of individuals over a specific period of time. Population growth rate can be interpreted over any time period.

Given

Population of a city is growing at an uninhibited rate of 1.6% per year.

The city's initial population was 125,000.

Based on the given conditions

[tex]125000.(1+0.016)^{x} =175000[/tex]

⇒ [tex]125000.(1.016)^{x} =175000[/tex]

⇒ [tex](1.016)^{x} =\frac{175000}{125000}[/tex]

⇒ [tex](1.016)^{x} =\frac{7}{5}[/tex]

⇒ [tex]x=log_{1.016} \frac{7}{5}[/tex]

⇒ [tex]x=log_{\frac{127}{125} } \frac{7}{5}[/tex]

⇒ x = 21.0

21.0 years will it take the population of that city to reach 175,000.

Find out more information about population growth rate here

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Answers

Answer:

0.45

Step-by-step explanation:

Since 36 of the cards are sports cards we can write that as a fraction

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36/80 simplified is 9/20 (you divide by 4)

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Step-by-step explanation:

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Answers

Answer:

Having emerged from the dialects and vocabulary of Germanic peoples—Angles, Saxons, and Jutes—who settled in Britain in the 5th century CE, English today is a constantly changing language that has been influenced by a plethora of different cultures and languages, such as Latin, French, Dutch, and Afrikaans.

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Answers

Answer:

B. 8

Step-by-step explanation:

Start Fraction y minus 5 over 3 End Fraction= 1

This statement above is written Mathematically as:

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We solve the Equation below

Step 1

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Answers

Answer:

2700pi [tex]m^{3}[/tex]

Step-by-step explanation:

The radius of cylinder is 15 meters and the height is 12 meters.

The volume of cylinder is

V = [tex]\pi r^{2} h[/tex]

Where, r is radius and h is height.

Substitute r = 15 and h = 12 in the volume formula.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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A scientist measures the growth of a new type of ivy that has been bred to grow in all types of weather. At the end of each week, the scientist measures the length of the vine.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Step 1:

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Step 2:

40° = 2x       Subtract x on both sides

Step 3:

x = 40° ÷ 2       Divide

Answer:

x = 20°

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These angles are opposite from each other, meaning they are the same.

Note: I'm pretty sure they are called opposite angles, but it's been a long time.

If they are the same, you would need to use an equal sign.

So the equation is x+40 = 3x

Now solve the equation. To remove the x from the left side, you subtract x.

(x+40)-x = (3x)-x

Note: Ignore the parentheses, they are used so you can clearly see the problem more (That doesn't make sense LOL).

Now we have 40 = 2x

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

We fail to reject our null hypothesis and conclude that there is not sufficient evidence to conclude that the average monthly rate for one-bedroom assisted-living facility is different from $3,300.

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Answers

Answer:

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Step-by-step explanation:

The reason for this is that when you are trying to solve these types of problems use below:

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