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makvit [3.9K]
3 years ago
9

If the world’s population is increasing at an annual rate of 1.3%, and there were 5 billion people in the year 1986, then in wha

t year will the world’s population be 10 billion?
Mathematics
1 answer:
Sliva [168]3 years ago
3 0
5 billion * ( 1 + 0.013 ) ^x = 10 billion
1.013 ^x = 10 : 5 = 2
x = log_{1.013}2
x = 54
1986 + 54 = 2040
In the year 2040 the world`s population will be 10 billion. 
 
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e-lub [12.9K]

SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

\begin{gathered} \text{Month 1: }4m+8v=57 \\ \text{Month 2: }2m+3v=23 \end{gathered}

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

\begin{gathered} 4m+8v=57----(1) \\ 2m+3v=23----(2) \\ \text{ multiply equation 1 by 2 and equation 2 by }4 \\ 8m+16v=114----(3) \\ 8m+12v=92----(4) \\ \text{subtract equation (4) from equation (3)} \\ 4v=22 \\ v=\frac{22}{4}=5.5 \\ \text{Substitute 5.5 for v in equation 1 to get the value of m} \\ 4m+8v=57 \\ 4m+8(5.5)=57 \\ 4m+44=57 \\ 4m=57-44=13 \\ m=\frac{13}{4}=3.25 \\ m=\text{\$}3.25,v=\text{\$}5.50 \end{gathered}

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

8 0
2 years ago
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