139.50/55.8=t
t=2.5 yrs simple interest
Let a,b & c be the number of cookies Adrian, Bobby and Calvin baked respectively.
(a+b+c)/3 =138
(a+b)/2 =136
a+b=272
a=272-b
(b+c)/2 =125
b+c=250
c=250-b
Sub a=272-b and c=250-b into (a+b+c)/3 =138,
(a+b+c)/3 =138
[(272-b)+b+(250-b)]/3 = 138
272-b+b+250-b = 414
-b = -108
b=108
From the above,
a=272-b
=272-108
a=164
c=250-b
=250-108
c=142
∵ a=164
b=108
c=142
∴ Adrian baked 164 cookies.
Bobby baked 108 cookies.
Calvin baked 142 cookies.
Answer: a) 6, 0, 10 b) yellow/orange line
Step-by-step explanation:
a) Plug the x in the y functions, y = 2x² + x
when x = -2, y = 2(-2)² + (-2) = 8 - 2 = 6
when x = 0, y = 2(0)² + (0) = 0 + 0 = 0
when x = 2, y = 2(2)² + (2) = 8 + 2 = 10
b) By looking the table, the equation has a point (0,0), only blue and yellow/orange line has the passed the point (0,0), so we delete the red line option.
And we choose a point (1,3), then only yellow/orange line has passed the point (1,3). So the yellow/orange line fits the equation.
Phase angle (∅) in a parallel RL circuit is given by the formula; tan∅ 
where
is current through the inductor and given by 
and
is current through the resistor and given by 
hence, tan∅
or ∅ = 26.565 degree