Answer:the plane in still air is 904 km/h
the rate of the wind is 104 km/h
Step-by-step explanation:
Let x represent the rate or speed of the plane in still air.
Let y represent the rate or speed of the wind.
Flying against the wind, an airplane travels 4000 kilometers in 5 hours. This means that the total speed of the airplane would be (x - y) km/h
Distance = speed × time
Therefore
4000 = 5(x - y)
4000 = 5x - 5y - - - - - - - - -1
Flying with the wind, the same plane travels 5040 kilometers in 4 hours. This means that the total speed of the airplane would be (x + y) km/h. Therefore,
5040 = 4(x + y)
5040 = 4x + 4y - - - - - - - - - 2
Multiplying equation 1 by 4 and equation 2 by 5, it becomes
16000 = 20x - 20y
20160 = 20x + 20y
Subtracting, it becomes
- 4160 = - 40y
y = - 4160/-40
y = 104
Substituting y = 104 into equation 1, it becomes
4000 = 5x - 5 × 104
4000 = 5x - 520
5x = 4000 + 520
5x = 4520
x = 4520/5 = 904
The scale factor is 3 as the lengths in the bigger triangle when divided by 3 gives the lengths in the smaller triangle
The stock price per share was $8.60
Number of shares bought 1000
Total price for the shares:
(Cost per share)*(Number of shares)
=8.60*1000
=$8600
The stock price after 1 year $9.15
Total number of shares is 1000
Current price=(current share price)*(number of shares)
9.15*1000
=$9150
current value=(Current price)-(buying price)
=9150-8600
=$550
Net Profit=(Current value)-(Expenses)
=550-14
=$536
Answer:
The correct answer 8486.
Step-by-step explanation:
Given:
Troy - P pr principle amount = 10000
rate = 9%
time = 60-22 = 38
intrest at every three months so time = t = 38*4 = 132
Nicohlas
P = x
rate = 10%
time = 60 -45 = 15
every month compounded = 15*12=180
solution:
the formula of compound intrest = P (1 + r/n)^(nt)
where n = number of counded intrests per year
puting formula for troy=
10000 (1+9/4)^132
= 294,322.96 .....1
now for nicolas
I = x(1+10/12)^180
x = 294,322.96/(1+10/12)^180
= 8486.
Answer:
C is the most reasonable answer because to add the system of equations together, you must make sure that one of the terms (whether it be the x or y value) can cancel out.
Step-by-step explanation:
