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Tasya [4]
3 years ago
8

A county's population in 1991 was 147 million. In 1998 it was 153 million. Estimate the population in 2017 using the exponential

growth formula. Round your answer to the nearest million.
Mathematics
1 answer:
aliina [53]3 years ago
6 0
Let t=number of years since 1991.
Then 
P(t)=147 e^(kt)   ... in millions
P(0)=147 e^(0)=147
P(7)=147 e^(7k)=153
e^(7k)=(153/147)
take ln both sides
ln(e^(7k))=ln(153/147)
7k=0.0400 => k=0.005715

Year 2017=>t=2017-1991=26
P(26)=147e^(26*.005715)=170.55
Answer: in 2017, the projected population is 170.55 millions.
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The sum of polynomials involves adding the polynomials

The other polynomial is y^3 -y^2+ 4y - 1

The sum of the polynomials is given as:

Sum = y^3 + 3y^2 + 4y - 4

One of the polynomials is given as:

P = 4y^2 - 3

Represent the other polynomial with Q.

So, we have:

P +Q =Sum

Substitute the expressions for P and Sum

4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4

Make Q the subject

Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3

Evaluate like terms

Q =y^3 -y^2+ 4y - 1

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Read more about polynomials at:

brainly.com/question/1487158

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2 years ago
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6 0
3 years ago
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7 0
3 years ago
Choose one of the factors of x^3 + 343.
Debora [2.8K]

First, note that 343=7^3. Then use the formula for the sum of perfect cubes:

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The quadratic trinomial x^2-7x+49 couldn't be factored anymore, so the expression x^3 + 343 has two factors x+7 and x^2-7x+49.

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3 0
3 years ago
Mr. O'Connor had $90 to spend at a football game. He spent 31/45 on his ticket. Then, he spent 3/7 of his remaining money at the
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He has $90 in total to spend

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so money spent on ticket =(31/45) *90 =2790/45 =62

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3 years ago
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