I could be wrong because I didn’t take business calculus, but i guess it’s the same as regular calculus.
So I assumed that the revenue is equal to the price times the amount produced: R=px
Now differentiating, I get: dR/dt =pdx/dt +xdp/dx. I used the product rule
But Mr. Kong wants his revenue constant ? So I assume that dR/dt=0
Plug in values and solve dx/dt. Please message me back. I want to see if I got it write
Answer:
Part A:
x+y= 95
x = y+25
Part B : 35 minutes
Part C : No
Step-by-step explanation:
Eric plays basketball and volleyball for a total of 95 minutes every day
x+y= 95
Where:
x =the number of minutes Eric plays basketball
y= the number of minutes he plays volleyball
He plays basketball for 25 minutes longer than he plays volleyball.
x = y+25
System:
x+y= 95
x = y+25
Replacing x=y+25 on the first equation:
(y+25) + y =95
Solving for Y
y+25+y =95
25+2y=95
2y=95-25
2y=70
y = 70/2
y = 35 minutes
Part C : No
if x = 35
x+y= 95
35+y =95
y= 95-35
y = 60 minutes
Replacing y=60 on the other equation:
x = y+25
35 = 60+25
35 ≠85
This is a right & isosceles triangle A =90° (Given) & AB = BC (given )
Apply Pythagoras
x² = 5(√2)² + 5(√2)² (since the 2 legs are equal)
x² = 5.2 + 5.2 Since (√2)² =2
x²=10 + 10 & x² = 20 & x=√(20) = 2√5 (the answer given are wrong.2√5 is the right answer)<u />
Answer:
It's option D. 8(8x + 9y).
Answer:
8 years
Step-by-step explanation:
Lets write an equation for Type A
The initial value is 5 ft and the slope 12 inches
We need to have the same units, so lets change 5 ft to inches
5 ft * 12 inches / ft = 60 inches
y = mx+b
y = 12 x + 60
Lets write an equation for Type B
The initial value is 3 ft and the slope 15 inches
We need to have the same units, so lets change 3 ft to inches
3 ft * 12 inches / ft = 36 inches
y = mx+b
y = 15 x + 36
We want to know when y is the same value. We can set the equations equal.
12x + 60 = 15x+36
Subtract 12 x from each side
12x-12x+60 = 15x-12x +36
60 =3x+36
Subtract 36 from each side
60-36 = 3x+36-36
24 = 3x
Divide each side by 3
24/3 = 3x/3
8 =x
It will take 8 years for the trees to be the same height
