What is the sales tax for a purchase of $20 if the tax rate is 10 percent?

Answer:

Solution is:

z  (max) = 687.5

x₁   =  0

x₂   = 16

x₃   = 21

Step-by-step explanation:

From the problem statement we have:

Resources:      machine time ( 183 h)      labor (250  h)   steel  185 (pounds)

Unit

Spoons                          4                                     4                          3

forks                               4                                     9                          2

knives5                          5                                     5                          4

Profit $                           9                                    20                       17.5

Objective function z =  9*x₁  +  20*x₂  + 17.5 *x₃   to maximize

Subject to:

Availability of machine time  :  183 h

4*x₁  +  4*x₂ +   5*x₃ ≤  183

Availability of labor  :  250 h

4*x₁  +  9*x₂  +  5*x₃  ≤  250

Availability of steel  :  185 pounds

3*x₁  +  2*x₂  +  4*x₃  ≤  185

Requirement:

x₂ ≥ 16

General constraints:

x₁  ≥ 0             x₃      ≥  0 all integers

After 6 iteration the solution using AtomZmath on-line solver

z  (max) = 687.5

x₁   =  0

x₂   = 16

x₃   = 21

Resources used:

Machine time: 16* 4 + 21*5  =  64  +  105  = 169

remains   183 - 169  = 14 h

Labor:  16*9  +  21* 5  =  144  +  105  =  249

remains   250 -  249  =  1 h

Steel :  16*2  +  21*4  =  32  + 84  =  116

remains   185  -  116  = 69 pounds.

If it is decided that 20 units of forks are to be made then

we will need   4*4 = 16   h of machine time

                         9*4 =  36 h  of labor

                         2*4 = 8 pounds of steel

We can get that from abandom to make one unit of x₃ ??

No because as we said we need 36 hours  of  labor ( we still have 1 we need 35 more hours ) if we make 20 x₃ insted of 21 we get only 5 hours.

z we got is maximum

Answer:

C. (10x - 2) units

Step-by-step explanation:

Perimeter of a rectangle:

The perimeter of a rectangle of length l and width w is given by:

[tex]P = 2(l + w)[/tex]

A rectangle has a length of (3x - 4) units and a width of (2x + 3) units.

This means that [tex]l = 3x - 4, w = 2x + 3[/tex]

What is the perimeter of the rectangle in terms of x?

[tex]P = 2(l + w) = 2(3x - 4 + 2x + 3) = 2(5x - 1) = 10x - 2[/tex]

The correct answer is given by option C.

Given:

The diagram of a circle.

[tex]m\angle BPV=124^\circ ,m\angle VPE=30^\circ ,m\angle EPF=76^\circ, m\angle FPD=48^\circ[/tex].

To find:

The measure of arc BEF.

Solution:

The measure of central angle is equal to the measure of corresponding arc.

So, in the given figure,

[tex]n(arcBV)=124^\circ ,m(arcVE)=30^\circ ,m(arcEF)=76^\circ, m(arcFD)=48^\circ[/tex]

Now,

[tex]m(arcBEF)=m(arcBV)+m(arcVE)+m(arcEF)[/tex]

[tex]m(arcBEF)=124^\circ +30^\circ+76^\circ[/tex]

[tex]m(arcBEF)=230^\circ[/tex]

Therefore, the measure of arc BEF is 230 degrees.

Answer:

5/52.

Step-by-step explanation:

Prob(Jack of hearts) = 1/52 - as there is only 1 jack hearts in pack.

Prob(Ace drawn) = 4/52 as there are 4 aces.

Answer:boy

Step-by-step explanation:boy

Mr. Smith exercises for between 10 and 40 minutes on 77.45 percent of the days in a year.

Given that his exercising time follows a normal distribution with a mean of 30 minutes and a standard deviation of 10 minutes.

Here we have to find the percentage of days in a year that Mr. Smith exercises for between 10 and 40 minutes,

First, we need to standardize the values of 10 and 40 minutes using the formula,

⇒ z = (x - μ) / σ

where x is the value we want to standardize,

μ is the mean,

And σ is the standard deviation.

For x = 10:

⇒ z = (10 - 30) / 10

       = -2

For x = 40:

⇒ z = (40 - 30) / 10

      = 1

Now, we need to find the probability of Mr. Smith exercising between -2 and 1 standard deviations from the mean.

We can use a standard normal distribution table or a calculator to find this probability.

Using a standard normal distribution table,

we can find the probability of z being between -2 and 1 is about 0.7745. This means that on approximately 77.45% of the days in a year, Mr. Smith exercises for between 10 and 40 minutes.

Therefore,

Mr. Smith exercises for between 10 and 40 minutes on approximately 77.45% of the days in a year.

Learn more about the percent visit:

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Answer:

Square pyramid

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

First find the lengths of the DE and DG

DG=

[tex] \sqrt{(5 - 1) {}^{2} + (3 - 2) {}^{2} } \\ \sqrt{4 {}^{2} + 1 {}^{2} } \\ \\ \sqrt{16 + 1} \\ \sqrt{17} [/tex]

DE=

[tex] \sqrt{(2 - 1) ^{2} + (6 - 2) {}^{2} } \\ \sqrt{1 {}^{2} + 4 {}^{2} } \\ [/tex]

[tex] \sqrt{17} [/tex]

Since both lengths are same that's means all the lengths are same. To find perimeter we need to add all the sides

[tex] \sqrt{} 17 + \sqrt{} 17 + \sqrt{} 17 + \sqrt 17 \\ 4 \sqrt{17} [/tex]

Answer:

I am sorry I don't know it, but once I find out I will tell you

Step-by-step explanation:

Answer:

Cylinder has no sharp points but cone as sharp edge.

27leejaey avatar

I hope that helps :D

Step-by-step explanation:

Cylinder has no sharp points but cone as sharp edge.

27leejaey avatar

I hope that helps :D

Answer:

$10.67

Step-by-step explanation:

If you made 20,800 a year, your hourly wage would be $10.67

Answer:

The hourly wage is $56.98

Step-by-step explanation:

20,800/365 equals 56.98

Answer: 1/12 or 8.3%

Step-by-step explanation:

probability of a 2 on the cube: 1/6

probability of tails on the quarter: 1/2

1/6*1/2=1/12

1/12 or 8.33333% (round to 8.3%)

Answer:

you can do 2^12=4096

there are 4096 different ways nick can answer the question

Answer:

x² + 3x - 10

Step-by-step explanation:

( x + 5 ) ( x - 2 )

→ Expand

x² + 5x - 2x - 10

→ Simplify

x² + 3x - 10

Answer: in photo

Step-by-step explanation:

Photo

Answer:

10

Step-by-step explanation:

Angles 8x - 12 and 6x + 8 are adjacent angles.

Adjacent angles are equal.

8x - 12 = 6x + 8

8x - 6x = 8 + 12

2x = 20

x = 20 / 2

x = 10

Answer:

8x-12=6x+8

[corresponding angle]

8x-6x=12+8.

x=20/2

x=10

Answer:

A

Step-by-step explanation:

Answer:

Don't agree with 1 and 2, agree with 3

Step-by-step explanation:

1: -35 degrees Fahrenheit is colder than 35 degrees Fahrenheit.

2: A distance of 15 meters is greater than a distance of 10 meters, not less, so it is not closer to sea level.

3: A distance of 17 meters is less than a distance of 40 meters, so it is closer to sea level.

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

(21+13/74-18x3)x10=17

rad3/ 2=0.86

ad 281^r2-160^2=231

2^10-2^9=512

ultima= 4

Answer:

P = 3/8

q = 1/2

Step-by-step explanation:

(3/8)^3/8 × (3/8)^1/8 = P^q

Because of the same base, pick one of the bases

Then, add the powers

(3/8)^3/8 × (3/8)^1/8 = P^q

= (3/8)^3/8 + 1/8

= (3/8)^(3+1)/8

= (3/8)^4/8

= (3/8)^1/2

Therefore,

P^q = (3/8)^1/2

Where,

P = 3/8

q = 1/2

P^q = (3/8)^1/2

= √(3/8)

Answer:

108: 4x3^3, 3^2x12, 6^2x3

96: 2^5x3, 2^3x122^4x6

Step-by-step explanation:

Answer:

Yes the square of the total spin of two electrons is conserved ( s^2)

Step-by-step explanation:

using the Hamiltonian operator H = A · (σ1 × σ2)

S = ( S1 + S2 )

S^2 = S²₁ + S²₂ + 2S₂ . S₂ ( apply the equation of time evolution )

Attached below is the detailed solution

Answer:

do you go gca too

Step-by-step explanation:

The best way to sample the population so that she can conduct a survey is to conduct a random sampling

From the question, we have the population to be:

Population = 5000

In order to conduct a survey, Tasha must carry out a random sampling by using the following steps

The above is called a random sampling technique

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Answer:

(2x + 3)(x - 2)

Step-by-step explanation:

use FOIL

First, Outside, Inside, Last

2x x x = 2x²

2x x -2 = -4x

3 x x = 3x

3 x -2 = -6

2x² - 4x + 3x - 6

Answer:

-4, 3

Step-by-step explanation:

To find x intercepts, set y equal to 0;

0 = 5(x+4)(x-3); when x = -4 or x = 3, y will be zero (these are the x intercepts),

Answer:

43% of the students prefer biology

Step-by-step explanation:

Among girls:

39 of the students are girls.

21 of the girls like biology best.

Boys:

100 - 39 = 61 are boys.

16 prefer physics

11 out of the 34 who prefer chemistry are girls, so 34 - 11 = 23 are boys.

61 - (16 + 23) = 22 prefer biology.

What percentage of the students prefer biology?

21 boys and 22 boys, that is, 43 students out of 100. So

43*100%/100 = 43%

43% of the students prefer biology