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4 years ago

Can y’all plz help thx

Mathematics

1 answer:

astraxan [27]4 years ago

7 0

The answer: 17 degrees

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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.

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3 years ago

Simplify (3x2 – 4x – 1) + (8x2 – x + 6)

abruzzese [7]

Answer:

$11x^{2} -5x+5$

Step-by-step explanation:

$3x^{2}-4x-1+8x^{2} -x+6$

$3x^{2}+8x^{2}-4x-x-1+6$

Combine like terms

$11x^{2}-5x +5$

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3 years ago

What are expressions equal to 16a+40

Liula [17]

8a+8a+40
It is equivalent

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4 years ago

To prove ABC= ADC, To prove which triangle postulate could you use?

Kay [80]

Answer:

ASA

Step-by-step explanation:

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3 years ago

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Write an equation of the line that passes through (-3, 3) and is perpendicular to the line 2y = 8x - 6.

navik [9.2K]

Answer:

2y = 8x - 6

2y/2 = 8x/2 - 6/2

y = 4x - 3

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3 years ago