Answer:
29 years
Step-by-step explanation:
The population of the Chinese people is 1.3 bn, and they grow at a rate of 0.49% per year. To get the number of years it requires to reach 1.5 bn, we use this method
after x years, the population will be
1.3 * 1.0049^x
so you just need to solve
1.3 * 1.0049^x = 1.5
1.0049^x = 1.5/1.3
x log 1.0049 = log(1.5/1.3)
x = log(1.5/1.3)/log(1.0049)
x = 0.062 / 0.002122
x = 29.25 years
Therefore, at the rate of 0.49%, the Chinese population of 1.3bn needs 29 years to clock 1.5 bn
Answer:
At most 800 magazines the company can print daily with the remaining number of ink cartridges.
Step-by-step explanation:
We are given the following in the question:

The above inequality gives the relation for daily supply of ink cartridges where N is the number of newspaper and M is the number of magazines.
Number of newspaper to be printed daily,N = 8000
We have to find the number of magazines at most can the company print daily with the remaining number of ink cartridges.
Puting the value in the given inequality,

Thus, at most 800 magazines the company can print daily with the remaining number of ink cartridges.
Answer:
The correct option is option B.
Step-by-step explanation:
The given function is

We can rearrange the function as

⇒ 3(x - 4)² - 2 = 18y - 36
⇒ 3(x - 4)² = 18y - 34
⇒ 
⇒ 
⇒ 
Therefore, the inverse function will be,
Therefore, the correct option is option B. (Answer)
I cannot see Zoe's work to explain the error, but the correct method of solving is listed:
x is the number of 30-second ads
y is the number of 60-second ads
x+y=12(60)=720 would be the first equation; this is because while the ads together make 12 minutes, the ad times are in seconds. This means we must multiply 12 by 60.
y=2x is the second equation
Our system is then
x+y=720
y=2x
We will use substitution to solve this. Plug 2x in place of y in the first equation:
x+2x = 720
Combine like terms:
3x = 720
Divide both sides by 3:
3x/3 = 720/3
x = 240
Substitute this value in for x in the second equation:
y=2(240)
y=480
Answer:
The turtle population's rate of growth will be 32 turtles per year after 2 years and 248 per year after 6 years.
Ten years after the conservation measures are implemented the population will be 3260 turtles.
Step-by-step explanation:
To find the rate of growth of the turtle population at any time <em>t</em> you need to find 

In particular, when t = 2 and t = 6, we have

so the turtle population's rate of growth will be 32 turtles per year after 2 years and 248 per year after 6 years.
The turtle population at the end of the tenth year will be
