Answer:
<em>The population on 30th day will be </em><em>134836</em><em>.</em>
Step-by-step explanation:
This is a case of exponential growth. The general form of exponential function is,
![y=ab^x](https://tex.z-dn.net/?f=y%3Dab%5Ex)
where, a and b are constants.
The data points from the question are ![(1,8500),(2,9350),(3,10285)](https://tex.z-dn.net/?f=%281%2C8500%29%2C%282%2C9350%29%2C%283%2C10285%29)
Putting the values in the function,
for ![x=1, y=8500](https://tex.z-dn.net/?f=x%3D1%2C%20y%3D8500)
----------1
for ![x=2, y=9350](https://tex.z-dn.net/?f=x%3D2%2C%20y%3D9350)
------2
Dividing equation 2 by 1,
![\Rightarrow \dfrac{ab^2}{ab}=\dfrac{9350}{8500}=1.1](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cdfrac%7Bab%5E2%7D%7Bab%7D%3D%5Cdfrac%7B9350%7D%7B8500%7D%3D1.1)
![\Rightarrow b=1.1](https://tex.z-dn.net/?f=%5CRightarrow%20b%3D1.1)
Putting the value of b in equation 1,
![\Rightarrow a=\dfrac{8500}{1.1}=7727.27](https://tex.z-dn.net/?f=%5CRightarrow%20a%3D%5Cdfrac%7B8500%7D%7B1.1%7D%3D7727.27)
Now the function becomes,
![y=7727.27(1.1)^x](https://tex.z-dn.net/?f=y%3D7727.27%281.1%29%5Ex)
Putting x=30, we get
![y=7727.27(1.1)^{30}=134836.2\approx 134836](https://tex.z-dn.net/?f=y%3D7727.27%281.1%29%5E%7B30%7D%3D134836.2%5Capprox%20134836)
Answer:
yes
Step-by-step explanation:
Answer:
Box A
Step-by-step explanation:
Find the volume of each one:
Box A: 11*3*4: 132
Box B: 3*4*5= 60
Compare to see which one has more, Box A has more space.
Box A has more space because if we compare the volume with each box, you will find that box A has a greater volume, which means it has more space.
Answer:
72 bowls with 12 cups of cream
Step-by-step explanation:
First, I want to point out that the information, “3 pots of soup” is useless. So disregard that.
1/6 cups of cream for every bowl. That means, the assistant can prepare 6 bowls with one cup of cream.
1/6–bowl 1
1/6–bowl 2
1/6–bowl 3
1/6–bowl 4
1/6–bowl 5
1/6–bowl 6
At this point, 6 bowls are prepared. Add up all the cream that was used to make these 6 bowls.
1/6+1/6+1/6+1/6+1/6+1/6 = 6/6
Since 6/6=1, 1 whole cup of cream makes 6 bowls. That means 12 whole cups will make 12 x 6 = 72 bowls.
Hope this helps!
Answer:
Distributive property
Step-by-step explanation:
The 2 is distributed over the parentheses (x + y) the the z is also.