Answer:
26in
Step-by-step explanation:
Volume of a cylinder = πr²h
Given
height h = 14in
Volume = 7433in³
Required
base d = 2r
r is the radius
get the radius r
7433 = 3.14 * 14r²
7433 = 43.96r²
r² = 7433/43.96
r² = 169.08
r = 13.00
Since the base d = 2r
d = 2(13)
d = 26in
Hence the base of the cylinder is 26in
Answer:
Step-by-step explanation:
We have been given that a label wraps around soup can with a radius of 4.3 cm and a height of 6 cm. We are asked to find the lateral surface area of the label of the soup can in square centimeters.
We will use lateral surface area of cylinder to solve our given problem as:
, where,
r = Radius of cylinder,
h = height of cylinder.
Upon substituting our given values in above formula, we will get:
Therefore, the lateral surface area of the label of the soup is approximately 162.11 square cm.
Answer:
13%
Step-by-step explanation:
<u>Given:</u>
- MP = 2080
- Discount = d%
- VAT = (d-2)%
- Cost = 1997.84
<u>Apply discount:</u>
- 2080 - d% = 2080*(1 - 0.01d)
<u>Add VAT:</u>
- 2080*(1 - 0.01d) + (d - 2)%
- 2080*(1 - 0.01d) * (1 + (d -2)/100)
- 2080*(1 - 0.01d) * (0.98 + 0.01d) = 1997.84
- (1 - 0.01d)(0.98 + 0.01d) = 1997.84/2080
- 0.98 + 0.01d - 0.0098d - 0.0001d² = 0.9605
- - 0.0001d² + 0.0002d + 0.98- 0.9605 = 0
- 0.0001d²- 0.0002d - 0.0195 = 0
- d² - 2d + 195 = 0
<u>Solving the quadratic equation we get:</u>
<u>Then</u>
Answer:
35.35%
Step-by-step explanation:
If there were no deductibles, the expected claim payment would be:
If the collision insurance claim is under $2,000, then the insurer would not pay anything, but if X > $2,000, then the insurer would pay X - $2,000. The new expected value is:
The percentage reduction on the claim payment is:
There was a 35.35% reduction.
Answer:
omigosh hope she gets better i will look at the pdf and solve
Step-by-step explanation:
okay so for most of them you can just multiply by the denominator to turn it into a regular number (to get it out of fraction form) and then use basic algebra to solve for x. I 'll write the answers to problems 1-9 in the comments