Answer:
zeros: -11 , 7
Line of symmetry: x = -2
Step-by-step explanation:
y = 2x² + 8x - 154 = 2*(x² + 4x - 77) = 2*(x+11)(x-7)
y = 0
x = - 11 or x = 7
line of symmetry: x = 1/2 (-11 + 7) = -2
2x² + 8x - 154 = 2*(x² + 4x +4) - 162 = 2 * (x+2)² - 162
vertex (h , k): h = -2 , k = -162
Line of symmetry: x = -2
Standard form is Ax + By = C
Where A is a positive integer
The y needs to be moved to the left side so subtract 3y from both sides.
2x - 3y = -8
Answer:
Divide each term in
0.3x<6 by 0.3 and simplify.
Inequality Form:
x<20
Interval Notation:(−∞,20)
Step-by-step explanation:
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Plug in 5 for n so it would be 5×5×5×5=
C.) 625
(a) Net present value of machine
Pm=-C+V/(1+i)^n=37000-1000/1.08^4
=-36264.97
=-36265 (rounded to nearest dollar)
Cost of machine amortized over 4 years (annualized cost)
Ac=Pm(A/P,i,n)=-36264.97(A/P,0.08,4)=-36264.97(.08*(1.08^4)/(1.08^4-1)
=-10949.15
Expected year-end cash flow = annualized return - annualized cost =>
12000=return - 10949.15
(b) Internal rate of return of machine
=return/cost - 1
=(12000-(-10949.15)/10949.15-1
=2.096-1
=1.096
=109.6%
