Answer:
Produce only Product B.
Step-by-step explanation:
The contribution margin per machine hour for product A is ...
($16 -$6)/(5 hour) = $2 per hour
The contribution margin per machine hour for product B is ...
($12 -$5)/(3 hour) ≈ $2.33 per hour
The company should produce the maximum possible number of the product that contributes the most per machine hour: Product B.
The answer is D, Cavalieri's Principle
The annuity could provide $221.19 each month
Step-by-step explanation:
The ANNUITY FORMULA is
, where
1.
is the balance in the account after t years
2. d is the regular deposit (the amount you deposit each year or month
or .........)
3. r is the annual interest rate in decimal
4. n is the number of compounding periods in one year
5. t the number of years
∵ Loren knows that he will have $500,000 when he retires
∴
= $500,000
∵ he sets up a payout annuity for 30 years in an account paying 10%
interest
∴ t = 30 years
∴ r = (10/100) = 0.1
∵ The annuity could provide each month
∴ n = 12
Substitute the values above in the formula
∴ ![500,000=\frac{d[(1+\frac{0.1}{12})^{(12)(30)}-1]}{\frac{0.1}{12}}](https://tex.z-dn.net/?f=500%2C000%3D%5Cfrac%7Bd%5B%281%2B%5Cfrac%7B0.1%7D%7B12%7D%29%5E%7B%2812%29%2830%29%7D-1%5D%7D%7B%5Cfrac%7B0.1%7D%7B12%7D%7D)
∴ ![500,000=\frac{d[(1.00833333)^{360}-1]}{0.00833333}](https://tex.z-dn.net/?f=500%2C000%3D%5Cfrac%7Bd%5B%281.00833333%29%5E%7B360%7D-1%5D%7D%7B0.00833333%7D)
∴ 500,000 = d [2260.487925]
- Divide both sides by 2260.487925
∴ d = $221.19
The annuity could provide $221.19 each month
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Answer:
I believe it is AAS but I'm not 100% so if I'm wrong I would like to apologies ahead of time.
I hope this is good enough:
Hi!
I would approach this question by first looking at where the parallelogram is located, by graphing the image. I did so and drew a rough image on Paint (See attached image)
To get the part where the diagonals intersect, I would find the midpoint of the line between points (1, 3) and (5,-9) (or the other pair). The reason is a parallelogram's diagonals always bisect each other, meaning the point they intersect is always the middle of the two diagonals.
Therefore, you can find the midpoint of a diagonal, between (1, 3) and (5, -9). The midpoint theorem is (
.
Take the points (1, 3) and (5, -9), and fill them in.

Then solve.

(3, -3)
If you'd like to check the other midpoint:
Take the points, (8, 3) and (-2, -9)

Then solve.

(3, -3)
They're the same, so that answer is correct.
Hope this helps!