sketch a graph and write an equation for a sinusoidal function that has a period of 12 seconds, a maximim height of 8ft and a minimim height of -4 ft. At a time t=0, the function's height is at its highest point.

9514 1404 393

  see attached

Step-by-step explanation:

The amplitude of the function is half the difference between the maximum and minimum:

  A = (8 -(-4))/2 = 6

The multiplier of t is (2π)/period, so is ...

  B = (2π)/12 = π/6

The vertical offset is the average of the minimum and the maximum:

  D = (8 +(-4))/2 = 2

The peak is at t=0, so the cosine function is the appropriate choice.

__

Then the function is ...

  f(t) = Acos(Bt) +D

  f(t) = 6cos(πt/6) +2

46 dollars is the answer.

step-by-step explanation:

6*6 = 36,         36+10=46

answer: the 4 kilogram bag

step-by-step explanation: this is because if you divide the number of kilograms into the total it will tell you how much each individual kilogram would be worth. 2 kilos is 7 and change 3 would be around 6 ish and the 4 kilo would be 4.6 and change and the 5 kilos would be like 4.88