The volume of the triangluar block is 4 cubic inches. What is the approximate length of y? -- 2.8 inches
Answer:
Step-by-step explanation:
From the given information:
a) To express the weekly profit as a function of price
Cost =C(q) = 1500 + 10q
Revenue = p×q = (50 − 0.1q)×q = 50q - 0.1q²
Revenue = 50q - 0.1q²
Weekly profit = Revenue - Cost
P(q) = (50q -0.1q²) - (1500 + 10q)
P(q)= -0.1 q² + 40 q - 1500
However, q = 500 - 10 p using p = 50 − 0.1q
P= -0.1 (500 - 10 p)² + 40 (500 - 10 p) - 1500
P= -10 p² + 600 p - 6500
b)
The price at which the bottle of the wine must be sold to realise a maximum profit can be determined by finding the derivative and then set it to 0
P' = 0
= -20p+600 = 0
20p = 600
p = 600/20
p = $30
c)
The maximum profit that can be made by the producer is:
P= -10(30)² + 600(30) - 6500
P = - 9000 + 18000 - 6500
P = $2500
Answer:
Interest rate is about 12.246%
The initial deposit doesn't matter because when you divide both sides by the initial deposit you're always left with (1+i)ⁿ=2
Step-by-step explanation:
![4000(1+i)^6=8000\\(1+i)^6=2\\1+i=\sqrt[6]{2} \\1+i=1.122462048\\i=.12246](https://tex.z-dn.net/?f=4000%281%2Bi%29%5E6%3D8000%5C%5C%281%2Bi%29%5E6%3D2%5C%5C1%2Bi%3D%5Csqrt%5B6%5D%7B2%7D%20%5C%5C1%2Bi%3D1.122462048%5C%5Ci%3D.12246)
Answer:
715
Step-by-step explanation:
52/80 × 1100=715 students eat cereal for breakfast
26 and 27.
Consecutive numbers are pairs of numbers like 1 and 2 or 5 and 6. One number right after the other to equal the whole number. Subtract 1 from 53 to get 52 then divide 52 by 2 to get 26. Then just add the 1 back on to get 26 and 27 to equal 53.
Hope this helped! :)