Answer:
$ 22.22
Step-by-step explanation:
Let
P = amount to save per week
B = expected accurate at 16 years = $5000
r = APR = 3.9% = 0.039
n = numbers of week in a year = 52weeks
t = 16 - 12 = 4 years terms of savings.
Using,
P = (B * r/n)/{(1 + (r/n))^(nt) -1}
P = (5000 * 0.039/52)/{(1 + (0.039/52))^(52 * 4) -1}
P = $22.22
Answer: 20 mph
Explanation:
Speed is a physical quantity which is equal to the ratio between the distance covered (d) and the time taken (t):
In the first part of the problem, the plane flew a distance of d=400 mi in a time of t=2.5 h. The speed of the plane in this case was the difference between the proper speed of the plane, v, and the speed of the wind, w, since the plane flew opposite to the wind. So we can write:
(1)
During the return trip, the plane flew with a speed (v+w), since the wind was on the tail, and it took 2 hours to cover the same distance:
(2)
So we have two equations with two unknown variables. From (1), we get
Substituting into eq.(2)
So, the speed of the wind was 20 mph.
- Make an equation representing the number of vehicles needed.
We have six drivers so
x + y ≤ 6
That's not really an equation; it's an inequality. We want to use all our drivers so we can use the small vans, so
x + y = 6
- Make an equation representing the total number of seats in vehicles for the orchestra members.
s = 25x + 12y
That's how many seats total; it has to be at least 111 so again an inequality,
25x + 12y ≥ 111
We solve it like a system of equations.
x + y = 6
y = 6 - x
111 = 25x + 12y = 25x + 12(6-x)
111 = 25x + 72 - 12x
111 - 72 = 13 x
39 = 13 x
x = 3
Look at that, it worked out exactly. It didn't have to.
y = 6 - x = 3
Answer: 3 buses, 3 vans
0W 6G = 1POSSIBILITY
1W 5G = 1POSSIBILITY
2W 4G, 2W 4G = 2 POSSIBILITIES
3W 3G, 3W 3G = 2 POSSIBILITIES
4W 2G, 4W 2G = 2 POSSIBILITIES
5W 1G = 1POSSIBILITY
6W 0G = 1POSSIBILITY
TOTAL IS 10 DIFFERENT CUBES
Answer: 1.6 lawns a week
Step-by-step explanation:
Carlt mowed 2 more lawns than Rocco every week for 5 weeks.
This means that the number of lawns he mowed more than Rocco is:
= 2 * 5
= 10 lawns
If Carlt mowed 18 lawns in those 5 weeks then Rocco mowed:
= 18 - 10
= 8 lawns
Lawns mowed per week by Rocco:
= 8/5
= 1.6 lawns a week
