Answer:
- $2300000- max profit
- 5.77 years into operation - zero profit time
Step-by-step explanation:
<u>Given function:</u>
It is a quadratic function with general form of y = ax^2 + bx + c
It opens down if a < 0 and gets maximum value at vertex which is determined at x = -b/2a
<u>For the given function vertex is:</u>
<u>Maximum value of p is:</u>
- p(3) = -3*3^2 + 18*3 - 4 = -27 + 54 - 4 = 23 ($2300000)
<u>The time when profit is zero:</u>
- -3t^2 + 18t - 4 = 0
- 3t^2 - 18t + 4 = 0
- t = (18 ± √18² - 4*3*4)/2*3 = (18 ± √276)/6 = (18 ± 16.61)/6
- t = (18 - 16.61)/6 = 0.23 this is the time when company has just started to make profit, it is not applicable as is the past time
- t = (18 + 16.61)/6 = 5.77 years into operation, after this time there will be no profit
Hello :
note : the polar coordinates is : (r , <span>θ)
</span>Another representation is (x, y) : x=r cos(θ) and y = sin(θ) and : r =<span>√(x²+y²)
</span>in this exercice : r = 1 and θ = 5<span>π<span>/6
so : x= 1.cos(</span></span>5π/6) and y = 1. sin(5π/6)
but : cos(5π/6) = cos (π - π/6) = - cos(<span>π<span>/6 ) = (- </span></span><span>√3)/2
</span>sin(5π/6) = sin (π - π/6) = sin(π/6 ) =1/2
Another representation is : ( (- √3)/2 , 1/2)
Answer:
3. No
4. Yes
5. Yes
Step-by-step explanation:
Ez and good luck
3^81 is bigger than 9^27.