A man earned wages of $30,600 , received $2900 in interest from a savings account, and contributed $2600 to a tax-deferred retirement plan.He was entitled to a personal exemption of $2500 and had deductions totaling $5020. Find his gross income, adjusted gross income, and taxable income

Answer:

[tex] \cos (u + v) = -\dfrac{56}{65} [/tex]

Good job!

Step-by-step explanation:

[tex] \cos (u + v) = \cos u \cos v - \sin u \sin v [/tex]

[tex] \sin u = -\dfrac{3}{5} [/tex]; u is in QIII.

That makes [tex] \cos u = -\dfrac{4}{5} [/tex]

[tex] \sin v = -\dfrac{12}{13} [/tex]; v is in QIV.

That makes [tex] \cos v = \dfrac{5}{13} [/tex]

[tex] \cos (u + v) = (-\dfrac{4}{5})(\dfrac{5}{13}) - (-\dfrac{3}{5})(-\dfrac{12}{13}) [/tex]

[tex] \cos (u + v) = -\dfrac{20}{65} - \dfrac{36}{65} [/tex]

[tex] \cos (u + v) = -\dfrac{56}{65} [/tex]

You are correct.

Answer:

Step-by-step explanation:

-0.8615

Answer:

About 1200

Step-by-step explanation:

I would round them to the nearest 10 so 27 would become 30 and 42 would be 40.

Then you would multiply to get the answer of about 1200.

Hope that helps and have a great day!

Answer:

if you mean 1/8 then its 0.125 (top choice)

Step-by-step explanation:

1/8=(1/4)/2=0.25/2=0.125

Answer:  c

Step-by-step explanation:

c is the answer

Answer:

33/209

Step-by-step explanation:

11*19=209 . 3(11)=33 .  33/209  

Given parameters:

   Length of the rectangle  = [tex]\frac{11}{19}[/tex] mile

   Width of the rectangle  = [tex]\frac{3}{11}[/tex] mile

Unknown:

Area of the rectangle = ?

Solution:

The area of a rectangle is

   Area of rectangle  = length x  width

                                  = [tex]\frac{11}{19}[/tex] x [tex]\frac{3}{11}[/tex]

                                = [tex]\frac{3}{19}[/tex]mile²

Answer:

Convert to a decimal by dividing the numerator by the denominator.

0.17

dollars per pound

Step-by-step explanation:

Convert to a decimal by dividing the numerator by the denominator.

0.16583 (keep adding 3 at the end)

0.17 dollars per pound

#CarryOnLearning

Answer:

1.) False

The product [tex]\bold{\frac{5}{2}}[/tex]([tex]\bold{\frac{4}{25}}[/tex]) will give the unit price of one kilogram of rice.

2.) False

Emily paid less than $1.50 per kilogram of rice.

3.) True

If Emily has $1.00 \:to\: spend\: on\: rice, she\: can\: get [tex]\frac{4}{10}[/tex]$ of a kilogram of rice.

#CarryOnLearning

Answer: 6

Step-by-step explanation: Since there are three different ways to get from A to B, that creates three variants of each way to get from B to C.

Say the roads are numbered. From A to B, you can use roads 1, 2, or 3. From B to C, you can use roads 4 or 5. The different combinations are 1-4, 1-5, 2-4, 2-5, 3-4, and 3-5.

Answer:

45

Step-by-step explanation:

corresponding angles are congruent

3 and 7 are corresponding

Answer:

5

Step-by-step explanation:

18x5=90+123=213.

Answer:

Around 2.63

Step-by-step explanation:

144 x 2.63 = 378.72

I would put 2.60, but you do you

Answer:

He needs to work 8.25 hours more.

Step-by-step explanation:

2.25 + 3.50 (3 1/2) - 5.75

5.75 + 6 = 11.75

20 - 11.75 = 8.25

Answer:

8.25 more hours.

Step-by-step explanation:

2.25+3 1/2+6=11.75

Then:

20-11.75=8.25

Answer: on angle 1 x=12 and on angle 3 x=24

Step-by-step explanation: i think

This question is incomplete, the complete answer is;

If one scours the Internet for long enough, one can collect the heights and weights of all of the players in the National Hockey League (... yes, we did!) If you did too, you would find that they have a mean height of 73.03 inches with a standard deviation of 2.03 inches. The mean weight would be 202.18 pounds with a standard deviation of 15.73 pounds. Here are some data for four of those NHL players in 2017-18: Player/Team HEIGHT WEIGHT Dustin Byfuglien (Winnipeg Jets) 75 260 Dylan Ferguson (Vegas Golden Knights) 74 190 Tom Wilson (Washington Capitals) 76 218 Sidney Crosby (Pittsburgh Penguins) 71 200.

Below, match each of the four players with their respective z-scores for height.

a. Dustin

b. Ferguson

c. Wilson

d. Crosby

1. A= 0.97

2. B= 0.48

3. C= -1.00

4. D= +1.46

Answer:

a. Dustin                MATCHES      1. A= 0.97

b. Ferguson          MATCHES      2. B= 0.48

c. Wilson                MATCHES      4. D= +1.46

d. Crosby              MATCHES      3. C= -1.00

Step-by-step explanation:

Given that;

their mean height u = 73.03

standard deviation α = 2.03

now the z-score height for each player;

a-  Dustin Byfuglien (Winnipeg Jets) Height = 75

z = (x - u) / α = (75 - 73.03) / 2.03 = 1.97 / 2.03 = 0.9704 ≈ 0.97

b-  Dylan Ferguson (Vegas Golden Knights) Height = 74

z = (x - u) / α = (74 - 73.03) / 2.03 = 0.97 / 2.03 = 0.4778 ≈ 0.48

- Tom Wilson (Washington Capitals) Height = 76

z = (x - u) / α = (76 - 73.03) / 2.03 = 2.97 / 2.03 = 1.4630 ≈ 1.46

Sidney Crosby (Pittsburgh Penguins) Height = 71

z = (x - u) / α = (71 - 73.03) / 2.03 =  -2.03 / 2.03 = - 1.00

Therefore

a. Dustin                MATCHES      1. A= 0.97

b. Ferguson          MATCHES      2. B= 0.48

c. Wilson                MATCHES      4. D= +1.46

d. Crosby              MATCHES      3. C= -1.00

Answer:

1

Step-by-step explanation:

5/7 *14/10 = 14/7 * 5/10 = 2 * 1/2 =1

Hope I understood the question correctly.

Answer:

5

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

2x3=6

3x3=9

Answer:

31 2-point baskets were made

Step-by-step explanation:

We can find how many of the 80 points were made with 2-point baskets by subtracting all the points gained through 3-point baskets. Since there are six 3-point baskets:

# of points through 2-point baskets = 80 - 6(3) = 80 - 18 = 62

To find the number of 2-point baskets that were made, divide the points by the worth of the basket:

# of 2-point baskets made = 62/2 = 31

9514 1404 393

Answer:

  31

Step-by-step explanation:

6×3 = 18 of the 80 points were from 3-point baskets, so the remaining 62 points were 2-point baskets.

  62 = 2b

  62/2 = b = 31

31 2-point baskets were made.

Answer:

The first one

Step-by-step explanation:

Since only the first session is $10, it wouldn't be 10x.

The second session is $5, and it will never be $10 again, so $5 sessions are unlimited which would be 5x.

So the answer is y = 10 + 5x

(sorry if i didnt explain well)

Answer: RTGVTFGVTTGSGT

Step-by-step explanation:

Answer:

The last one is 8

Step-by-step explanation:

I'm unsure of the question.

Simplify all the given.

√81 = 9

√72 ≈ 8.5

9.2 = 9.2

8.6 = 8.6

From here, you can just sort it out.

From least to greatest:

1) √72

2) 8.6

3) √81

4) 9.2

Answer:

x=4

Step-by-step explanation:

Step 1: Add 3x to both sides.

−5x+9+3x=−3x+1+3x

−2x+9=1

Step 2: Subtract 9 from both sides.

−2x+9−9=1−9

−2x=−8

Step 3: Divide both sides by -2.

−2x/−2=−8/−2

Step-by-step explanation:

the true statemnts underneath and are in bold letters

-.For all nonempty sets A, B, C, D, if A x B = C x D, then A = C and B = D.

This property is true

-The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C and A nonempty, then B = C.

This property is true

- If A={1,2} and B={3} then A x B ={ (1,3), (2,3) }.

if we have 2 non empty sets a and b if we want to get their cartesian product, it is defined as the set of all ordered pairs from a and b

we have A x B to be{(1,3)(2,3)}

therefore this is also true

Answer:

782/34 = 23 beads for each bracelet

Step-by-step explanation:

23 beads.

782 devided by 34 is 23. ask google if u think im wrong

Answer:

The answer is -11x and -21

The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.

We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have

p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R

==>  R = -2 + b + c + d

p(2) = 2(2)³ + b(2)² - c(2) + d = R

==>  R = 16 + 4b - 2c + d

p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R

==>  R = 1/4 + b/4 - c/2 + d

We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so

p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0

==>  0 = -16 + 4b + 2c + d

Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :

(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R

-18 - 3b + 3c = 0

b - c = -6

(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R

-9/4 + 3b/4 + 3c/2 = 0

b + 2c = 3

(b - c) - (b + 2c) = -6 - 3

-3c = -9

c = 3

b - 3 = -6

b = -3

-16 + 4(-3) + 2(3) + d = 0

d = 22