The area is 28.26
to find the radius you have to divide the diameter by 2 which you’ll get 3
then plug it into the equation
A=3.14•3^2
Answer:
$4,379
Step-by-step explanation:
Doris only earns commission on the amount above $80,000 so you have to figure out how much of the total sales is subject to commission.
Subtract $382000-$80000= $302000
Multiply $302000 x 1.45% = $4,379
divide 1006 by 12
1006 / 12 = 83.833
so 83 full trucks
83 *12 = 996
1006-996 = 10 cars will be on the last truck
Part A
![-12 < 5x - 2 < 13\\\\-12+2 < 5x - 2+2 < 13+2 \ \text{ ... add 2 to all sides}\\\\-10 < 5x < 15\\\\-10/5 < 5x/5 < 15/5 \ \text{ ... divide all sides by 5 to isolate x}\\\\-2 < x < 3\\\\](https://tex.z-dn.net/?f=-12%20%3C%205x%20-%202%20%3C%2013%5C%5C%5C%5C-12%2B2%20%3C%205x%20-%202%2B2%20%3C%2013%2B2%20%5C%20%5Ctext%7B%20...%20add%202%20to%20all%20sides%7D%5C%5C%5C%5C-10%20%3C%205x%20%20%3C%2015%5C%5C%5C%5C-10%2F5%20%3C%205x%2F5%20%20%3C%2015%2F5%20%5C%20%5Ctext%7B%20...%20divide%20all%20sides%20by%205%20to%20isolate%20x%7D%5C%5C%5C%5C-2%20%3C%20x%20%20%3C%203%5C%5C%5C%5C)
To graph this, we plot open holes at -2 and 3 on the number line. Shade between these open holes to represent values between -2 and 3, but we don't include the endpoints.
See figure 1 below.
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Part B
Solve the first inequality to get
![3x < -9\\\\3x/3 < -9/3\\\\x < -3\\\\](https://tex.z-dn.net/?f=3x%20%3C%20-9%5C%5C%5C%5C3x%2F3%20%3C%20-9%2F3%5C%5C%5C%5Cx%20%3C%20-3%5C%5C%5C%5C)
Now solve the second inequality
![2x \ge x+1\\\\2x-x \ge x+1-x\\\\x \ge 1\\\\](https://tex.z-dn.net/?f=2x%20%5Cge%20x%2B1%5C%5C%5C%5C2x-x%20%5Cge%20x%2B1-x%5C%5C%5C%5Cx%20%5Cge%201%5C%5C%5C%5C)
We have ![x < -3 \ \text{ or } \ x \ge 1](https://tex.z-dn.net/?f=x%20%3C%20-3%20%5C%20%5Ctext%7B%20or%20%7D%20%5C%20x%20%5Cge%201)
The graph will have an open hole at -3 and a closed/filled in circle at 1. We shade everywhere but the region between these marked values. The left portion in blue represents stuff smaller than -3; the right portion in red represents values equal to 1 or larger.
See figure 2 below.
Answer:
I believe that Kevin is 6 years old now.
Step-by-step explanation:
I used the guess and check method to figure this out.
First, I began by making Daniel 1 years old, two years ago. Kevin was 4 times as old as Daniel two years ago, so he would be 4 at the time. Now, Daniel would be 3 and Kevin would be 6 years old. The statement that Kevin is three years older than Daniel would confirm this, because 6-3=3. Hope this helps, this is my first time answering:)