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3 years ago

2 Points What is the slope of the line that contains the points (-2, 2) and (3,4)?

Mathematics

1 answer:

MrRissso [65]3 years ago

6 0

Answer:

2/5 is your answer.

Step-by-step explanation:

What you do is you put the y's on the top of the fraction and the x's on the bottom.

4-2/3-(-2)=2/5 is your answer.

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In 2018, the population will grow over 700,000.The population of a city in 2010 was 450,000 and was growing at a rate of 5% per

Firlakuza [10]

Answer:

The year is 2020.

Step-by-step explanation:

Let the number of years passed since 2010 to reach population more than 7000000 be 'x'.

Given:

Initial population is, $P_0=450,000$

Growth rate is, $r=5\%=0.05$

Final population is, $P=700,000$

A population growth is an exponential growth and is modeled by the following function:

$P=P_0(1+r)^x$

Taking log on both sides, we get:

$\log(P)=\log(P_0(1+r)^x)\\\log P=\log P_0+x\log (1+r)\\x\log (1+r)=\log P-\log P_0\\x\log(1+r)=\log(\frac{P}{P_0})\\x=\frac{\log(\frac{P}{P_0})}{\log(1+r)}$

Plug in all the given values and solve for 'x'.

$x=\frac{\log(\frac{700,000}{450,000})}{\log(1+0.05)}\\x=\frac{0.192}{0.021}=9.13\approx 10$

So, for $x > 9.13$ , the population is over 700,000. Therefore, from the tenth year after 2010, the population will be over 700,000.

Therefore, the tenth year after 2010 is 2020.

8 0

2 years ago

A certain animated movie earned $1.1*10^9 in revenues at the box office. The movie lasts 9.1*10^1 minutes. How much revenue was

Vadim26 [7]

Answer:

$12,087,912.1

Step-by-step explanation:

$1.1*10^9$ is in scientific notation, to get this into normal number, we take the decimal point and move it "9" times to the right [whatever power of 10 we have, we move to right (if positive).] Then we fillup the rest with zeros.

So we have:

$1.1*10^9=1,100,000,000$

This is the revenue.

We do similar process for time:

$9.1*10^1=91$

This is the time , in minutes.

We want revenue PER minute, that means we divide the total revenue by total time, that would be:

$\frac{1,100,000,000}{91}=12,087,912.1$

The revenue earned per minute is $12,087,912.1

6 0

2 years ago

a railroad track rises 30feet for every 400 feet of track. what is the measure of the angle of elevation of the track?

tensa zangetsu [6.8K]

It will be 0.075 the tracks

4 0

3 years ago

Read 2 more answers

HELP!! Which truck pulled 2,000 pounds at the average<br> speed of 2 yards per minute?

Advocard [28]

The correct answer it would be B

Ford

8 0

2 years ago

Find the missing side of the right triangle

vlada-n [284]

Answer:

$a {}^{2} + b {}^{2} = c {}^{2} \\ b {}^{2} = \sqrt{c {}^{2} - a {}^{2} } \\ b = \sqrt{14 {}^{2} - 3 {}^{2} } \\ b = \sqrt{196 - 9} \\ b = \sqrt{187} \\ b = 13.7$

I hope this help

6 0

2 years ago