Answer:
65.7
Step-by-step explanation:
Given the population of West Algebra can be modeled by the equation
P = 30. 1.04^T
If T is the number of years since 2000 and P is the population in millions, in 2020, T = 2020 - 2000 = 20
Substitute T = 20 into the expression and get T
P = 30. 1.04^20
P = 30(2.1911)
P = 65.73
Hence the amount of people that will be there in 2020 is 65.7million people
We are given : The cost of tools for building wind chimes = $130.
Cost of material for each wind chime = $10.
We need to find the total cost of making 100 wind chimes.
Please note : $130 is the fix cost and $10 is the variable cost of each wind chime.
<em>In order to find the cost of 100 wind chimes, we need to multiply 100 by cost of making one wind chime and add the fix cost for tools for building wind chimes.</em>
Therefore, total cost of making 100 wind chimes = 10×100 + 130
= 1000+130
=1130.
<h3>Therefore, the total cost to make 100 wind chimes is $1130.</h3>
To calculate the distance between two points on the coordinate system you have to use the following formula:
![d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%7D)
Where
d represents the distance between both points.
(x₁,y₁) are the coordinates of one of the points.
(x₂,y₂) are the coordinates of the second point.
To determine the length of CD, the first step is to determine the coordinates of both endpoints from the graph
C(2,-1)
D(-1,-2)
Replace the coordinates on the formula using C(2,-1) as (x₁,y₁) and D(-1,-2) as (x₂,y₂)
![\begin{gathered} d_{CD}=\sqrt[]{(2-(-1))^2+((-1)-(-2))}^2 \\ d_{CD}=\sqrt[]{(2+1)^2+(-1+2)^2} \\ d_{CD}=\sqrt[]{3^2+1^2} \\ d_{CD}=\sqrt[]{9+1} \\ d_{CD}=\sqrt[]{10} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B%282-%28-1%29%29%5E2%2B%28%28-1%29-%28-2%29%29%7D%5E2%20%5C%5C%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B%282%2B1%29%5E2%2B%28-1%2B2%29%5E2%7D%20%5C%5C%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B3%5E2%2B1%5E2%7D%20%5C%5C%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B9%2B1%7D%20%5C%5C%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B10%7D%20%5Cend%7Bgathered%7D)
The length of CD is √10 units ≈ 3.16 units
Answer:
12
Step-by-step explanation:
When the numerators are the same, the denominator that is bigger has a lesser value. In this case, the inequality > shows that 
is bigger than the fraction next to it so in order to find a fraction that is lesser in value than , we need to find a denominator that is <u>more than 10</u>, since 10 is the denominator of the first fraction. The only number more than 10 in the options is 12, so 12 is the answer.
10 different groups can ski.
This is a combination of 5 items taken 3 at a time:
