Answer:
The population in 2015 will be 165 million.
Step-by-step explanation:
The exponential growth formula is given by:
Where:
a: is the initial population
r: is the rate of increase
Δt: is the time
With the initial information we can find the rate:
Using logarithm:
![ln(151) = ln(145) + 8[ln(1 + r)]](https://tex.z-dn.net/?f=%20ln%28151%29%20%3D%20ln%28145%29%20%2B%208%5Bln%281%20%2B%20r%29%5D%20)
Using exponential:
Now, we can find the estimated population in 2015:
Therefore, the population in 2015 will be 165 million.
I hope it helps you!
Answer: 47
Step-by-step explanation:
You simplify it giving you 47
3 is the 10 billions place
Answer:
B. The relationship between the variables in the table is quadratic because the second differences are constant.
Step-by-step explanation:
We have to look for the differences in the y values of the given table.
The y values are:
0, 2, 6, 12, 20, 30, 42
The differences between the consecutive values are:
2, 4, 6, 8, 10, 12
These are the first differences and are not constant. This means the relationship is not linear. Now we again find the differences between the consecutive values:
2, 2, 2, 2, 2
These are the second differences. The second differences are constant. So this means the given relationship is quadratic.
Therefore, option B gives the correct answer. The relationship between the variables in the table is quadratic because the second differences are constant.
