Answer:
z = 30.45 feet
Step-by-step explanation:
The volume (V) of a triangular prism is calculated as
V = area of triangular end (A) × length
Here V = 913.5 and length = 15, thus
A × 15 = 913.5 ( divide both sides by 15 )
A = 60.9 ft²
The area of the triangle = 
bh ( b is the base and h the height ), thus
× 4 × z = 60.9
2z = 60.9 ( divide both sides by 2 )
z = 30.45
Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).
B(y)=b-c
B(y)=100y-18y²
Now that we have a net benefits function we need find it's derivate with respect to y.
Now we must find at which point this function is equal to zero.
0=100-36y
36y=100
y=2.8
Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.
B(2.8)=100(2.8)-18(2.8)²=138.88≈139.
One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.
Answer:
negative 1
Step-by-step explanation:
the 2 points: (-2,0), (-3,1)
(1-0)/(-3+2)
=-1
m=-1
brainliest please
Answer:
19/40
Step-by-step explanation:
withdraws are negative
online bills are negative
deposits are positive
1239.45 -80 + 689.65-212.80-55-49.76-110.35=
1241.19
