Answer:
552
Step-by-step explanation:
Answer:
Step-by-step explanation:
Derivatives problem! I love these!
To maximize revenue: Find where R(p) has a maximum
1. Find the derivative
-4p^2 + 2000p - 3000
= (2)(-4p) + (1)2000 - (0)3000
= -8p + 2000
2. Find where the derivative = 0
-8p + 2000 = 0
2000 = 8p
250 = p
<u>a. Price = 250</u>
3. Plug in p to your original equation
-4(250)^2 + 2000(250) - 3000
= 247,000
<u>b. Maximum revenue: $247,000</u>
9514 1404 393
Answer:
x ≈ 32.4
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation between angle, adjacent side, and hypotenuse:
Cos = Adjacent/Hypotenuse
cos(72°) = 10/x
x = 10/cos(72°)
x ≈ 32.4
Your answer is 20 vegetable plants. To answer this, you just need to find 40% of 50, as 40% of their total plants are vegetables. You can do this by dividing 50 by 10 to get 5, which is 10%, and then multiplying 5 by 4 to get 20, which is 40%.
I hope this helps!
4a+3b-(-2a-3b)
=4a+3b+2a+3b
=6a+6b
=6(a+b)