Answer:
3
Step-by-step explanation:
The LCM of 120 and 150 is 600
Step-by-step explanation:
We find the stationary point of (20 + 2x)(1200 - 60x),
where x is the unit rate of increase/decrease.
d/dx [(20 + 2x)(1200 - 60x)]
= d/dx (-120x² + 1200x + 24000)
= -240x + 1200.
When d/dx [(20 + 2x)(1200 - 60x)] = 0,
We have -240x + 1200 = 0. => x = 5.
Price per shirt that maximise revenue
= $20 + $2x = $20 + $2(5) = $30.
Maximum revenue
= (20 + 2(5))(1200 - 60(5))
= $30 * 900 = $27,000.
Answer:
b= 9.17 ft
Step-by-step explanation:
The 4 feet from the wall is the bottom part of the triangle. The 10 ft. ladder is the hypotenuse of the triangle. Use the Pythagorean Theorem and substitute the known values.
a^2+b^2=c^2
4^2+b^2=10^2
Then square all the known values
16+b^2=100
Then get b by itself
b^2=-16+100
add -16 and 100
b^2=84
and finally square root both sides of the equation
b=9.16515 ft or 9.17 ft