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hodyreva [135]
2 years ago
8

Compare the rates of change of the following items.

Mathematics
2 answers:
liq [111]2 years ago
8 0

Answer:y=24(2-3)

Step-by-step explanation:

Korvikt [17]2 years ago
5 0
Answer: 24 (2-3) ??!!!!!??!!!??!!?
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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
Mr. Gonzales has only $42.50 to spend at a clothing store. He wants to buy a shirt that costs $29, including tax, and some brace
lisabon 2012 [21]

Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3

Step-by-step explanation:

The data we have is:

Gonzales has $42.50

He wants to buy:

a shirt that costs $29

some bracelets that cost $4.50 each.

The equation that we need to solve is:

Total cost = money that Gonzales has.

The cost is $29 + x*$4.50

where x is the number of bracelets he can buy.

The equation that we need to solve is:

$29 + x*$4.50 = $42.50

to solve it we must isolate x:

x*$4.50 = $42.50 - $29 = $13.50

x = 13.50/4.50 = 3

So we have that Mr. Gonzales can buy a total of 3 bracelets.

8 0
3 years ago
Read 2 more answers
Suppose △BUG is an isosceles triangle. Find the measure of <B.​
algol [13]

Answer:

B=44°

Step-by-step explanation:

x+10+3x+x=180

5x= 180-10

x=34

B= 34+10

B=44°

7 0
2 years ago
3x+5=2x-4 please solve
Elis [28]
The answer i got was x=-9
5 0
3 years ago
Read 2 more answers
What is the solution for the equation 6x − 8 = 4x? x = . (Input whole number only). (5 points) Blank 1:
vfiekz [6]

Answer:

4

Step-by-step explanation:

Step 1:

6x - 8 = 4x        Equation

Step 2:

6x = 4x + 8        Add 8 on both sides

Step 3:

2x = 8     Subtract 4x on both sides

Step 4:

x = 8 ÷ 2      Divide

Answer:

x = 4

Hope This Helps :)

6 0
3 years ago
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