What is the length of CDE in degrees if the radius of circle 0 is 4? I attached the circle.

12.0079  units

Step-by-step explanation:

Find the missing angle  angle  COD

360 - 27 - 103 - 50 - 35 =  180 - 35 = 145 degrees

radius is 4

the arc CDE  corresponds to the angle  CDE = 145 + 27 = 172 degrees

so   find circumference=  2*pi*4 = 8pi

arc length CDE =  (172/360)* 8*pi = 12.0079  units

Question:

Rocio predicts that the amount of corn, C. in bushels, produced on her farm t years from now can be modeled

by the function C(t) = 80t + 1000, while the price, P, in dollars, per bushel of corn t years from now can be

modeled by the function P(t) = 0.03t + 5. Let I be Rocio's predicted total income from producing corn t years from now.

I(t) = 2.4t^2 + 430t + 5000

Step-by-step explanation:

Given that:

Amount of corn sold in t years is modeled by:

C(t) = 80t + 1000

Price of corn sold in t years is modeled by:

P(t) = 0.03t + 5

Therefore, total income = (amount sold in brushels in t years × price in dollar per bushel I. t years)

Therefore, I(t) = C(t) × P(t)

I(t) = (80t + 1000) × (0.03t + 5)

I(t) = 2.4t^2 + 400t + 30t + 5000

I(t) = 2.4t^2 + 430t + 5000