Answer:
24 mph for both 60 miles and 40 miles.
Step-by-step explanation:
We need to find how long it takes to get to college and from it.
Speed x time (x) = Distance (60)
30x = 60
x=2
It takes two hours to get to college
20x = 60
x = 3
It takes 3 hours to get back. It's a total of 5 hours, 2 hours at 30mph and 3 at 20. Now we need to find the average
30+30+20+20+20=120
120/5= 24
The average speed for the round trip is 24.
To do the second part, we follow the same process, but replace 60 with 40 for distance.
30x=40
x= 1.33
20x=40
x=2
We can add the total distance and divide by total time to find the average.
The total distance is 80. Time is 3.33
80/3.33=24
The average speed is still 24.
Find attached the missing cash flow stream
Answer:
- <u><em>Present value = $1,685,334 (rounded to the nearest whole)</em></u>
Explanation:
Since the <em>cash flow stream</em> is <em>uneven</em>, you must discount each stream individually and after you have discounted every stream you can add each preset value to find the net present value.
The formula for <em>present value</em> is:

<u>1. Year 1:</u>
- Future value = $250,000
- r = 4%
- n = 1

<u>2. Year 2:</u>
- Future value = $20,000
- r = 4%
- n = 2

<u>3. Year 3:</u>
- Future value = $330,000
- r = 4%
- n = 3

<u>4. Year 4:</u>
- Future value = $450,000
- r = 4%
- n = 4

<u>5. Year 5:</u>
- Future value = $550,000
- r = 4%
- n = 5

<u>6. Year 6:</u>
- Future value = $375,000
- r = 4%
- n = 6

Total present value = $240,384.62 + $18,491.12 + $293,368.80 + $384,661.89 + $452,059.91 + $296,367.95 + $ 296,367.95
Total present value = $1,685,334.29 = $ 1,685,334
Answer:
p=2
Step-by-step explanation:
Answer:
Step-by-step explanation:
As with all word problems we first have to convert it to an equation or equations.
L = length of the Rectangle and W = its width
So L = 2 * W
A = area of the rectangle which is 128 cm^2
So A = L * W = 128 cm^2
substitute 2W for L from the 1st equation to give A = 2 * W * W = 2 * W^2 = 128 cm^2
Thus W^2 = 64 cm^2
finally W = 8 cm and therefore L = 2 * W = 16 cm
The perimeter P = 2 * (L+W) = 2* (8cm + 16cm) = 2 * 24cm = 48 cm
A cube has all square faces which are connected by other square faces. A cylinder has two round faces connected by a "tube". A cube has 8 vertices and a cylinder has zero vertices.