Step-by-step explanation:
5.9722x1024 - 4.8685x1024
1130.1888
The exponential growth formular is given by

where: P is the population of the country, t years after the initial year (i.e. in this case, 1994).

is the initial population of the country (i.e. the population of the country in 1994).
r is the growth rate of the population and
t s the number of years after the initial year.
We obtain the value of r by comparing the growth between 1994 and 1998.
Here: P = 146,

, and t = 4 years
Thus
![146=140(r)^4 \\ \\ r^4= \frac{146}{140} =1.042857 \\ \\ r= \sqrt[4]{1.042857} =1.010546](https://tex.z-dn.net/?f=146%3D140%28r%29%5E4%20%5C%5C%20%20%5C%5C%20r%5E4%3D%20%5Cfrac%7B146%7D%7B140%7D%20%3D1.042857%20%5C%5C%20%20%5C%5C%20r%3D%20%5Csqrt%5B4%5D%7B1.042857%7D%20%3D1.010546)
To estimate the population of the country in 2011, we note that 2011 is 17 years after 1994.
Thus, the population of the country in 2011 can be estimated to be

million
Therefore, the population of the country in 2011 can be estimated to be 167 million to the nearest million.
Answer:
The work required to empty the tank is 1,580,887 J
Step-by-step explanation:
Work = mass of chocolate × acceleration due to gravity × height of chocolate
Volume of tank (cone) = 1/3πr^2h = 1/3 × 3.142 × 2^2 × 7 = 29.33 m^3
Mass of hot chocolate = density of hot chocolate × volume of cone = 1100 kg/m^3 × 29.33 m^3 = 32,263 kg
height of chocolate = 5 m
Work = 32,263×9.8×5 = 1,580,887 J
Answer:
Step-by-step explanation:
(z)° + (3z + 1)° = 360° - ( 54° + 204° )
z + 3z + 1 = 360 - 258
4z = 101
z = 25.25