Answer:
d
Step-by-step explanation:
She should explain how she got 83 and maybe why she guessed 120 before
Solve for x over the real numbers:
5 x^2 - 21 = 10 x
Subtract 10 x from both sides:
5 x^2 - 10 x - 21 = 0
Divide both sides by 5:
x^2 - 2 x - 21/5 = 0
Add 21/5 to both sides:
x^2 - 2 x = 21/5
Add 1 to both sides:
x^2 - 2 x + 1 = 26/5
Write the left hand side as a square:
(x - 1)^2 = 26/5
Take the square root of both sides:
x - 1 = sqrt(26/5) or x - 1 = -sqrt(26/5)
Add 1 to both sides:
x = 1 + sqrt(26/5) or x - 1 = -sqrt(26/5)
Add 1 to both sides:
Answer: x = 1 + sqrt(26/5) or x = 1 - sqrt(26/5)
The altitude of the plane is 8 miles
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
In the right triangle ABC
tan(72°)=h/x
h=xtan(72°) -----> equation A
In the right triangle ABD
tan(55°)=h/(x+3)
h=(x+3)tan(55°) -----> equation B
equate equation A and equation B and solve for x
xtan(72°)=(x+3)tan(55°)
xtan(72°)-xtan(55°)=3tan(55°)
x[tan(72°)-tan(55°)]=3tan(55°)
x=3tan(55°)/[tan(72°)-tan(55°)]
Find the value of h
h=xtan(72°)
h=[3tan(55°)*tan(72°)]/[tan(72°)-tan(55°)]
h=8 miles
Answer:
1.46 times
Step-by-step explanation:
The growth,
rate is defined as Return on Equity times (1-Dividend payout ration):
Given that 
The total asset turnover is calculated as:
#We know that
Hence, turn-over required for a 7.1% internal growth is 1.4564times
