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Jlenok [28]
3 years ago
14

You are single and employed full-time as a manager. You have no children. Your gross income is $49,500. You contributed $1,800 t

o an IRA account. You paid $2,985 in home mortgage interest. You made $750 in charitable donations. You spent $2,700 in non-reimbursed medical expenses beyond the 7.5% of adjusted gross income.
Mathematics
1 answer:
Alex777 [14]3 years ago
4 0
That is the final answer to this question
42765
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44. Which number line represents
creativ13 [48]

Step-by-step explanation:

=> 45 + 4x > 125

=> 4x > 125 - 45

=> 4x > 30

=> x > 30/4

=> x > 7.5

3 0
2 years ago
Solve the system by using a matrix equation
Sergeu [11.5K]

Answer:

Option A is correct (17,11).

Step-by-step explanation:

6x - 9y = 3

3x - 4y =7

it can be represented in matrix form as\left[\begin{array}{cc}6&-9\\3&4\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}3\\7\end{array}\right]

A= \left[\begin{array}{cc}6&-9\\3&4\end{array}\right]

X= \left[\begin{array}{c}x\\y\end{array}\right]

B= \left[\begin{array}{c}3\\7\end{array}\right]

i.e, AX=B

or X= A⁻¹ B

A⁻¹ = 1/|A| * Adj A

determinant of A = |A|= (6*-4) - (-9*3)

                                    = (-24)-(-27)

                                    = (-24) + 27 = 3

so, |A| = 3

Adj A=  \left[\begin{array}{cc}-4&9\\-3&6\end{array}\right]

A⁻¹ =  \left[\begin{array}{cc}-4&9\\-3&6\end{array}\right]/3

A⁻¹ =  \left[\begin{array}{cc}-4/3&3\\-1&2\end{array}\right]

X= A⁻¹ B

X=  \left[\begin{array}{cc}-4/3&3\\-1&2\end{array}\right] *\left[\begin{array}{c}3\\7\end{array}\right]

X= \left[\begin{array}{c}(-4/3*3) + (3*7)\\(-1*3) + (2*7)\end{array}\right]

X= \left[\begin{array}{c}-4+21\\-3+14\end{array}\right]

X= \left[\begin{array}{c}17\\11\end{array}\right]

x= 17, y= 11

solution set= (17,11).

6 0
3 years ago
Read 2 more answers
How do You do solving system of equations by solving for a variable
In-s [12.5K]
Well, you have to do it with the substitution method now it's not easy, it takes some time to get used to it. I'm not really sure how to explain it but if you go on Khan Academy it will show you how to do it.
6 0
3 years ago
What is the equivalent of π/6 radians in degrees. Question and answers are in photo above
Karolina [17]

There are a number of radian-degree equivalents that it would be time-saving and otherwise worthwhile to memorize. π/6 = 30 degrees is one of these. For reference, here are a few others:

radians degrees

0 0

2π 360

π 180

π/2 90

π/4 45

and so on. Good luck!


3 0
3 years ago
Irri is traveling in a group of 888 cat warriors. Each cat needs 444 liters of milk per day to maintain good morale. Mirri has a
tatiyna

Answer:

3.25 days

Step-by-step explanation:

Irri is traveling in a group of 8 cat warriors. Each cat needs 4 liters of milk per day to maintain good morale.

The total number of liters for the cat is calculated as:

8 × 4 liters of milk

= 32 liters of milk.

Another cat has enough milk to last for 2days.

= 4 liters of milk × 2 days

= 8 liters

Mirri has a supply of 96 liters of milk.

Total liters of milk = 96 liters + 8 liters

= 104 liters

Which equation can we use to find the total number of days the milk will last?

This is calculated as:

= 104 liters/32 liters

= 3.25 days

7 0
3 years ago
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