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Sloan [31]
3 years ago
12

Mr. Burr and his daughter live in Corpus Christi, Texas. Mr. Burr’s employer pays 100% of his insurance premium and 50% of the p

remiums for the rest of the family. His total monthly expenses according to an online family budget estimator are about $2,100. His payroll and income taxes are $257 and he gets tax credits of $245, what is his necessary monthly income?
Mathematics
1 answer:
Setler [38]3 years ago
5 0
2,602 this is probably wrong though so..
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Let T be the plane-2x-2y+z =-13. Find the shortest distance d from the point Po=(-5,-5,-3) to T, and the point Q in T that is cl
GaryK [48]

Answer:

d=10u

Q(5/3,5/3,-19/3)

Step-by-step explanation:

The shortest distance between the plane and Po is also the distance between Po and Q. To find that distance and the point Q you need the perpendicular line x to the plane that intersects Po, this line will have the direction of the normal of the plane n=(-2,-2,1), then r will have the next parametric equations:

x=-5-2\lambda\\y=-5-2\lambda\\z=-3+\lambda

To find Q, the intersection between r and the plane T, substitute the parametric equations of r in T

-2x-2y+z =-13\\-2(-5-2\lambda)-2(-5-2\lambda)+(-3+\lambda) =-13\\10+4\lambda+10+4\lambda-3+\lambda=-13\\9\lambda+17=-13\\9\lambda=-13-17\\\lambda=-30/9=-10/3

Substitute the value of \lambda in the parametric equations:

x=-5-2(-10/3)=-5+20/3=5/3\\y=-5-2(-10/3)=5/3\\z=-3+(-10/3)=-19/3\\

Those values are the coordinates of Q

Q(5/3,5/3,-19/3)

The distance from Po to the plane

d=\left| {\to} \atop {PoQ}} \right|=\sqrt{(\frac{5}{3}-(-5))^2+(\frac{5}{3}-(-5))^2+(\frac{-19}{3}-(-3))^2} \\d=\sqrt{(\frac{5}{3}+5))^2+(\frac{5}{3}+5)^2+(\frac{-19}{3}+3)^2} \\d=\sqrt{(\frac{20}{3})^2+(\frac{20}{3})^2+(\frac{-10}{3})^2}\\d=\sqrt{\frac{400}{9}+\frac{400}{9}+\frac{100}{9}}\\d=\sqrt{\frac{900}{9}}=\sqrt{100}\\d=10u

7 0
3 years ago
Answer to this question please
fredd [130]

Answer:

Volume is 21

Explanation

Base length is 4.5

Widgth is 3.5

and height is 4 (I can't tell if its 2 because picture is blurry)

V=lwh/3=4.5·3.5·4= 21

8 0
3 years ago
1. -2x(x+3)-(x+1)(x-2) =
Simora [160]

Answer:

-3x^2 -7x + 2

Step-by-step explanation:

Given

-2x(x + 3) - (x+1)(x - 2)

Required

Solve

Open brackets

-2x^2 -6x - (x^2-2x + x - 2)

-2x^2 -6x - x^2-2x + x + 2

Collect like terms

- x^2-2x^2 -6x -2x + x + 2

-3x^2 -7x + 2

5 0
3 years ago
Type the correct answer in the 5 untils 2 untils 2 untils 3 untils 2 untils​
SpyIntel [72]

Answer:

the correct answer in the 5 untils 2 untils 2 untils 3 untils 2 untils​

Step-by-step explanation:

5 0
3 years ago
What single decimal multiplier would you use to decrease by 7% followed by a 20% decrease?
Nadusha1986 [10]

Answer:

13 percent

Step-by-step explanation:

6 0
3 years ago
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