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3 years ago

I'm not really good at it can you help. ?

Mathematics

1 answer:

Vesnalui [34]3 years ago

5 0

Sure , What Do Youu Need Help With ?

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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

3 points

stich3 [128]

Step-by-step explanation:

2x + 100 = 90

x = -5

Angle A = 45 - 5 = 40.

6 0

2 years ago

Oscar wants to put $1000 in a bank account that

Feliz [49]

Answer:

he would end up with 3000$ in 10 years with simple interest

Step-by-step explanation:

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2 years ago

What is the sign of -201 + 189−201+189minus, 201, plus, 189?

svlad2 [7]

-201+189=-12-201=-213+189=-24 . S the sign would be negative(-).

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2 years ago

Which is the BEST revision of this sentence? People, who are listening to their ipods while running are actually endangering the

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Answer:C

Step-by-step explanation:

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2 years ago

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