Answer:




Step-by-step explanation:
We need to match the slope of the function with the slope of the lines connecting the two points given. The slope of the lines are as follows:






Now,
the slope of the line BC matches with the slope of y=-3.5x-15.
the slope of the line DE matches with the slope of y=-0.5x-3.
the slope of the line HI matches with the slope of y=1.25x+4.
the slope of the line LM matches with the slope of y=5x+9.
and the slopes of the lines FG and JK do not match with any of the functions given.
Thus,




Answer: $11836.8
Step-by-step explanation:
Given. That :
Amount invested = $5000
Interest rate = 9% = 0.09
Period = 10 years, compounded annually
Using the compound interest formula :
A = p(1 + r/n)^nt
A = final amount
P = principal or invested amount
r = rate of interest
n = number of times interest Is applied per period
t = period
A = 5000(1 + 0.09/1)^(1*10)
A = 5000(1.09)^10
A = 5000 * 2.36736367459211723401
A = 11836.81837296058617005
= $11836.8
Cos(A-B) = cosAcosB + sinAsinB
<span>
cos(</span>π/2 - θ) = cos(π/2)cosθ + sin(π/2)sinθ
π/2 = 90°
cos(π/2) = cos90° = 0. sin(π/2) = sin90° = 1
cos(π/2 - θ) = cos(π/2)cosθ + sin(π/2)sin<span>θ
</span>
= 0*cosθ + 1*sin<span>θ = </span>sin<span>θ
Therefore </span>cos(π/2 - θ) = sin<span>θ
QED </span>
1-What is the recommended serving for the Hershey’s chocolate chips
2- compare the 2 foods in terms of calories and fat and which is the “healthier” option