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tensa zangetsu [6.8K]
3 years ago
13

Please help need to graduate

Mathematics
1 answer:
kherson [118]3 years ago
5 0
-5 [(x^3+1)(x+4)]
-5 (x^4+4x^3+x+4)
-5x^4-20x^3-5x-20
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The population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year. A) Estimate how lo
VLD [36.1K]

Answer:

A) 63.36 years.

B) 100.42 years.

Step-by-step explanation:

We have been given that the population of the world was 7.1 billion in 2013, and the observed relative growth rate was 1.1% per year.

A) Since we know that population increases exponentially, therefore we will use our given information to form an exponential model for population increase and then we will solve for the time by which our population will be double.

P(t)=7.1(1.011)^{t}            

7.1 \times 2=7.1(1.011)^{t}  

\frac{7.1 \times 2}{7.1} =(1.011)^{t}

2 =(1.011)^{t}

Now let us solve for t using logarithm.

ln(2) =ln (1.011)^{t}      

ln(2) =t \cdot ln(1.011)

0.6931471805599453 =t \cdot 0.0109399400383344  

t=\frac{0.6931471805599453}{0.0109399400383344}

t=63.3593217267282743049\approx 63.36

Therefore, it will take 63.36 years the population to be double.

B) Now we will find the number of years it will take the population to be triple of its size.

7.1 \times 3=7.1(1.011)^{t}

\frac{7.1 \times 3}{7.1} =(1.011)^{t}  

3 =(1.011)^{t}

Now let us solve for t using logarithm.        

ln(3) =ln (1.011)^{t}

ln(3) =t \cdot ln(1.011)

1.0986122886681097 =t \cdot 0.0109399400383344  

t=\frac{1.0986122886681097}{0.0109399400383344}

t=100.4221490079915311298\approx 100.42

Therefore, it will take 100.42 years the population to triple of its size.


6 0
3 years ago
Y= -4x + 10? What is the slope of the line?
Salsk061 [2.6K]

Answer:

-4 or -4/1

Step-by-step explanation:

The equation is in y=mx+b form

m is the slope, and b is the y intercept

So, for this line, y=-4x+10

-4 is the slope and 10 is the y intercept

Hope this helps! :)

6 0
3 years ago
I need help with this​
kogti [31]

Answer:

x, y, and z I think that is it

5 0
3 years ago
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How do you solve this kind of problem?
Y_Kistochka [10]
I hope this helps you

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3 years ago
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What is 7/12 in simplest form?
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If it stays as fraction the answer would be 7/14
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