A=p (1+rt)
A future value ?
p Principle 900
R interest rate 0.06
T time 9/12
A=900×(1+0.06×(9÷12))
A=940.5
1+3=4
A counterexample is an a example that proves the statement false.
1+3 are not even numbers but they equal an even one, so it just proved the statement wrong.
Answer:
Part A:
The surface area of a cylinder is given by
A= 6πr² if h= 2r
Part B:
Total Cost of covering the cylinder = Rate *2πrh + rate*2πr²
Cost of covering only the side = Rate *2πrh
Step-by-step explanation:
Part A:
The surface area of a cylinder is given by
A= 2πrh + 2πr²
Where h= height and radius = r
But we have the height twice as radius so h= 2r
So putting h= 2r we get
A= 2πr(2r) + 2πr²
A= 4πr² + 2πr²= 2πr²(2+1) = 2πr²(3)= 6πr²
Part B:
Cost = Rate * area of the wall + rate * area of the top and bottom
Cost = Rate *2πrh + rate*2πr²
Where area of the top and bottom= πr² +πr² =2 πr²
and area of the side = 2πrh
Multiplying both with the rate and then adding would give the total cost of materials needed to cover the outside of the cylinder and from top and bottom as well.
If you do not need to cover top and bottom then the expression would be
Cost of covering only the side = Rate *2πrh
Part C:
Already done above.
Based on the information given her commission check is $1,689.8.
Using this formula
Commission check=Commission earned× Sales
Where:
Commission earned=0.6% or 0.006
Sales=$281,634
Let plug in the formula
Commission check= 0.006×$281,634
Commission check=$1,689.8
Inconclusion her commission check is $1,689.8.
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Answer:

Step-by-step explanation:




Calculate 5 to the power of 2 and get 25:-

Calculate 3 to the power of 2 to get 9 and then multiply 2 and 9 to get 18:-


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