Answer:
x= -40
Step-by-step explanation:
Cost
C(x)=1,600+20x
P(x)=100-x
Revenue=x*p(x)
=x*(100-x)
=100x-x^2
Cost=Revenue
1600+20x=100x-x^2
1600+20x-100x+x^2=0
1600-80x+x^2=0
Solve using quadratic formula
Formula where
a = 1, b = 80, and c = 1600
x=−b±√b2−4ac/2a
x=−80±√80^2−4(1)(1600) / 2(1)
x=−80±√6400−6400 / 2
x=−80±√0 / 2
The discriminant b^2−4ac=0
so, there is one real root.
x= −80/2
x= -40
Answer:
He can make it with Max's audio goods
44.575 miles < 45 miles
Step-by-step explanation:
The angle of the truck driver = 180 - (60 + 69) = 51°
By using sin Rule:
40/sin51 = Max's auto goods/sin60 = Jimmy's car supply/sin69
∴ Max's auto goods = 40(sin60)/sin51 = 44.575 miles
∴ Jimmy's car supply = 40sin(69)/sin51 = 48.052 miles
∵ The truck driver can travel another 45 miles
∴ He can make it with Max's audio goods because 44.575 < 45
Just as you would do it with any other number.
Write out some of it, then move the decimal point 3 places this way <=== .
Some of pi : 3.14159
Divide by 1,000 : 0.00314159
% change = (new value - old value)/(old value) * 100%
.. = (9.67 -9.74)/9.74 * 100%
.. = -0.07/9.74 * 100%
.. = -0.7%
The decrease is 0.7%.
