Answer:
r = -6
Step-by-step explanation:
6(r - 8) = 8r - 36
distribute 6 into r - 8
6r - 48 = 8r - 36
add 36 to both sides
6r - 12 = 8r
subtract 6r from both sides
-12 = 2r
divide by 2 on both sides
-6 = r
Answer:
The radius is<em> 5</em>
Step-by-step explanation:
The radius is <em>half</em> the circumference. Therefore, <em>10 ÷ 2 = 5.</em>
6×11=66
11+66=77
so the first number is 11 and the second is 66. together their sum is 77.
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.
<u>Answer-</u>
<em>Cooper will receive </em><em>$12.00</em><em> at the end of the month.</em>
<u>Solution-</u>
Cooper has $1500 in the account now and he deposits an additional $500 at the beginning of the month.
So the total principal becomes 1500+500 = $2000
Given here,
APR = annual percentage rate = 7.2%
But as we have to calculate the monthly interest, so monthly interest rate would be 
Time period = 1 month
So, the interest after 1 month will be,
Therefore, Cooper will receive $12.00 at the end of the month.
