Answers:
Rent = 750
Savings = 750
Groceries = 625 (you are correct)
Other = 375
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Explanation:
Convert each percent to decimal form. You do this by moving the decimal point 2 spots to the left.
Rent has 30% turn into 0.30, which multiplies with 2500 to get 0.30*2500 = 750
For savings, the same multiplier is used because we also have 30% here as well. So the same amount is devoted to savings.
You have the correct answer for groceries. Multiply 0.25 with 2500 to get 625. Nice work on getting the correct answer here.
Finally, we have 15% devoted to other, so we multiply 0.15 by 2500 and we get 0.15*2500 = 375
As a check, we can add up the subtotals 750, 750, 625, 375 to get 750+750+625+375 = 2500 which helps us confirm our answers.
Let x be the required waranty period, then
P(X < x) = P(z < (x - 12)/(8/12)) = 1 - 0.067 = 0.933
P(z < 12(x - 12)/8) = P(z < 1.498)
12(x - 12)/8 = 1.498
x - 12 = 8(1.498) / 12 = 0.9987
x = 12 - 0.9987 = 11
Therefore, they should waranty for 11 years so that no more than 6.7% fail within that time.
cost of production = %13
Let the price be p, then
revenue less price of failed iron = p - 0.067(13) = p - 0.871
Profit = p - 0.871 - 13 = 5
p - 13.871 = 5
p = 5 + 13.871 = 18.871
Therefore, the should charge $18.87 per waffle iron.
Yes, but not without cutting some of the tiles into smaller pieces.
The length of the area is 8-ft. That's (2 and 2/3) tiles long.
The width of the area is 4-ft. That's (1 and 1/3) tiles wide.
So you can't just put down rows and columns of whole tiles
and cover the whole area.
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Another way to look at it:
-- The area of the whole big plot is (8 x 4) = 32 square feet.
-- Each tile covers (3 x 3) = 9 square feet.
-- You can't cover 32 square feet with 9-square-feet pieces.
Either you have to cut something off, or else you have to let
something hang outside of the lines.
There is not a formula for everything need more data
