Sn = (a1) x (1 - r^n) / (1 - r)
Substituting the known values:
S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27 = 8 24/27 = 8 8/9
Answer:
4 pitchers
Step-by-step explanation:
we know that
The volume of a cylinder is equal to

step 1
Find the volume of the cylinder with height 9 inches and radius r
substitute the given values


step 2
Find the volume of the cylinder with height 9 inches and radius 2r
substitute the given values


step 3
we know that
The volume of the cylinder 1 can fill a certain pitcher,
so
The volume of the pitcher is the same that the volume of cylinder 1
therefore
the number of pitchers that can be filled by the second cylinder is equal to divide the volume of the second cylinder by the volume of the first cylinder

AB = 24
BC = 45
AC = 51
cos C = adjacent / hypotenuse
cos C = BC / AC
cos C = 45/51
We calculate for the taxable income by subtracting the tax free allowance from the gross income.
Taxable income = Gross income - tax free allowanc
Taxable income = (£12,000 - <span>£6,475)
= </span><span>£5,525
Hence, the taxable income is equal to </span><span>£5,525.
Net income:
This would be equal to the gross income minus the amount of taxes to be paid.
Net income = Gross income - amount of tax to be paid
Net income = (</span><span>£12,000) - (0.20)($5,525)
Net income = $10,895
Therefore,
ANSWER: <em>$10,895</em></span>
A. There will be 60 ounces of pineapple juice needed. 150 servings divided by 20 servings is 7.5 servings. 7.5 servings times 8 ounces is 60 ounces.
B. You can make 50 servings of punch. 20 servings divided by 8 ounces is 2.5 ounces. 2.5 ounces times 20 ounces equals 50 servings.