Answer: True
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Work Shown:
Follow PEMDAS in reverse to solve for q
22q - 7 < 37
22q - 7+7 < 37+7 ... add 7 to both sides
22q < 44
22q/22 < 44/22 ... divide both sides by 22
q < 2
Lets get this into y-intercept form first, which is y =mx+b:
8(4+x)-3 = 12(x+y)+5
32+8x-3 = 12x+12y+5
-4x+24 = 12y
-1/3x+2 = y or y= -1/3x + 2
X intercept:
0 = -1/3x + 2
-2= -1/3x
6 = x
X intercept is (6,0)
Y intercept:
y = -1/3(0) + 2
y= 2
Y intercept is (0,2)
Answer:
B. proportion
Step-by-step explanation:
A proportion is a pair of equal ratios.
Answer:
Step-by-step explanation:
n=8 f(x) = x² - 4x
convert [0,2] into 8 subintervals
width of each interval is
![\delta x =\frac{2-0}{8}=0.25](https://tex.z-dn.net/?f=%5Cdelta%20x%20%3D%5Cfrac%7B2-0%7D%7B8%7D%3D0.25)
All subintervals are:
[0, 0.25], [0.25, 0.5], [0.5, 0.75], [0.75, 1], [1, 1.25], [1.25, 1.5], [1.5, 1.75] and [1.75, 2]
Let,
be the right end point of each interval i=1,..8
![x_1=0.25, x_2=0.5, x_3=0.75, x_4=1, x_5=1.25, x_6=1.5, x_7=1.75, x_8=2](https://tex.z-dn.net/?f=x_1%3D0.25%2C%20x_2%3D0.5%2C%20x_3%3D0.75%2C%20x_4%3D1%2C%20x_5%3D1.25%2C%20x_6%3D1.5%2C%20x_7%3D1.75%2C%20x_8%3D2)
Reiman sum is
![R_8=\delta x[f(x_1)+f(x_2)+...f(8)]\\\\0.25[f(0.25)+f(0.5)+...+f(2)]\\\\0.25\times[-23.25]\\=-5.8125](https://tex.z-dn.net/?f=R_8%3D%5Cdelta%20x%5Bf%28x_1%29%2Bf%28x_2%29%2B...f%288%29%5D%5C%5C%5C%5C0.25%5Bf%280.25%29%2Bf%280.5%29%2B...%2Bf%282%29%5D%5C%5C%5C%5C0.25%5Ctimes%5B-23.25%5D%5C%5C%3D-5.8125)
Answer:B
Step-by-step explanation:
DeShawn would have more money in the long run if he invested in the 20-year endowment
DeShawn already makes $45,000 yearly, which makes him rich enough to purchase the 20 year endowment plans, the 20 year life plan won't be wise, because it last for 20 years, and this will end before he retires, 38 + 20 = 58 and once it ends, no payment will be made if he's still alive, so what if something happens to him in the 2 years inbetween the end of the 20 year term plan and his retirement? That's where the plan doesn't favor him and his family, but the 20 year endowment plan once it's finished, he will be paid the sum assured to him, plus bonuses, and his family will be covered if something happens to him in the 2 years inbetween the end of the 20 year endowment plan and his retirement