Answer:
The correct option is (B) $365,530.
Explanation:
In this problem we need to determine the future value, i.e. the amount at the retirement age.
The formula to commute the future value is:
![\\ FV=A[\frac{(1+r)^{n}-1}{r}]](https://tex.z-dn.net/?f=%5C%5C%20FV%3DA%5B%5Cfrac%7B%281%2Br%29%5E%7Bn%7D-1%7D%7Br%7D%5D)
Here,
A = annual investment = $5,000
r = interest rate = 8%
n = number of periods = 25
The future value is:
![\\ FV=A[\frac{(1+r)^{n}-1}{r}]\\=5000\times[\frac{(1+0.08)^{25}-1}{0.08}]\\=365529.699\\\approx365530](https://tex.z-dn.net/?f=%5C%5C%20FV%3DA%5B%5Cfrac%7B%281%2Br%29%5E%7Bn%7D-1%7D%7Br%7D%5D%5C%5C%3D5000%5Ctimes%5B%5Cfrac%7B%281%2B0.08%29%5E%7B25%7D-1%7D%7B0.08%7D%5D%5C%5C%3D365529.699%5C%5C%5Capprox365530)
Thus, the amount of money the engineer will have in the account at retirement is $365,530.
The number of possibilities that are there for the ordered pair is 2.
<h3>Calculation and Parameters
</h3>
Because the unpainted part of the floor covers 1/2 of the area, then the painted rectangle covers 1/2 of the area as well.
Given that the border width is 1 foot, the dimensions of the rectangle are a-2 by b-2.
Making an equation:
ab= 2((a-2)(b-2))
ab= 2ab-4a-4b+8
ab-4a-4b+8=0
If we apply Simon's Favorite Factoring Trick,
ab-4a-4b+16= 8
(a-4)(b-4)= 8
Since b > a, then we have the possibilities
(a-4) = 1 and (b-4) = 8, or (a-4) = 2 and (b-4) = 4.
(5, 12) or (6,8) which gives us 2 possibilities.
Read more about possibilities here:
brainly.com/question/25870256
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1.) b
2.)c
3.)b
4.)I think d
5.) a maybe
6.)c
The cost of goods sold on October 24 is $4830
The perpetual inventory as on October 31 is 70 units of value as $2310
Explanation:
The order of events in the given scenario,
- Oct. 1 - Inventory 200 units at $30
- Oct. 7 - Sold 160 units
- Oct. 7 - Remaining Inventory 40 units at $30
- Oct. 15 - Purchase 180 units at $33
- Oct. 15 - Total Inventory 40 units at $30 + 180 units at $33
- Oct. 15 - Total Inventory 220 units and value is $7140 ($30 * 40 + $33 * 180)
- Oct. 24 - Sold 150 units
- Oct. 24 - Taken 40 units from the purchase of $30 and 110 units from the purchase of $33 by using FIFO logic
- Oct. 24 - Total cost of goods sold is $4830
So, cost of goods sold on October 24 is $4830
- Oct. 24 - Total Inventory 70 units and value is ($7140 - $4830) = $2310
The perpetual inventory value as on October 31 is $2310
