what is 10000 x 40 - 16 + 1900 =

Answer:

16 2/3%

Step-by-step explanation:

rate of return is the profit (1750 - 1500) over the original investment

250/1500 = .1666 or 16 2/3%

Answer:  .1666

Step-by-step explanation:

Answer:

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = 0.0228

Step-by-step explanation:

Step(i):-

Given mean of the Population = 500

Given standard deviation of the Population = 50

Let 'X' be the random variable in normal distribution

Given  X = 600

[tex]Z = \frac{x-mean}{S.D} = \frac{600-500}{50} = \frac{100}{50} =2[/tex]

Step(ii):-

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = P(z≥2)

                  = 0.5 - A(2)

                 = 0.5 -0.4772

                = 0.0228

Final answer:-

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = 0.0228

Answer:

16.66months

Step-by-step explanation:

2500/150

Answer:

y=2(x+6)^2 -59

Step-by-step explanation:

Answer:

the older sister is 27 and the younger is 25.

Step-by-step explanation:

C+2=Y

C+Y=52

2C+2=52

2C=50

C=25

25+2=Y

Y=27

Answer:

x=6

Step-by-step explanation:

7x-9=3x+15

4x-9=15

4x=24

x=6

Answer:

x=6

Step-by-step explanation:

7−9=3+15

7−9+9=3+15+9

7−3=3+24−3

4=24

x=6

Answer:

1/4

Step-by-step explanation:

[tex]\frac{1}{4}[/tex]

Answer: 1/4

Step-by-step explanation:

Trust me ;)

Answer:

ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C

Step-by-step explanation:

dy/dx + 2y = 6

This is a first order linear ODE.

p(x) = 2

Integrating factor: I(x) = e^(∫ 2 dx) = e^(2x)

e^(2x)(dy/dx + 2y) = 6e^(2x)

e^(2x) dy + 2ye^(2x) dx = 6e^(2x) dx

Integrate both sides of the equation.

ye^(2x) = 3e^(2x) + C

Thus, the general solution is ye^(2x) - 3e^(2x) = C or (y - 3)e^(2x) = C.

Answer: A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.

Step-by-step explanation:

Scale factor for drawing = 2:1

Dimensions of drawing :  10 in, 5 in, 13 in

Dimension of object = Scale factor x Dimension of drawing

Sides of object:

2 x 10 in =20 in   [b]

2 x 5 in = 10 in  [c]

2 x 13 in = 26 in.  [a]

Hence, the correct option is

A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.

Answer:

Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long.

Step-by-step explanation:

Answer:

(2, 5)

Step-by-step explanation:

Answer:

21. 2

Step-by-step explanation:

Answer:

21.222222222222222

Step-by-step explanation:

Answer:

3564

Step-by-step explanation:

calculator, dude.

Answer:

Its 3,464 *smh

If you had 99 barrels of oil, then multiplied it why 36, how much would u have?

Answer - 3,464

Answer:

The slope-intercept form of the equation of the line is:

y = 2/3x + 2

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

Given the points

(x₁, y₁) = (0, 2)

(x₂, y₂) = (3, 4)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [4 - 2] / [3 - 0]

               = 2 / 3

Thus, the slope of the line = m = 2/3

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 2

Thus, the y-intercept b = 2

now substituting m = 2/3 and b = 2 in the slope-intercept form

y = mx+b

y = 2/3x + 2

Therefore, the slope-intercept form of the equation of the line is:

y = 2/3x + 2

Answer:

0.456 is less than 0.5

Step-by-step explanation:

Answer:

31.8

Step-by-step explanation:

90-58.2=31.8

because the square in the middle means 90 degrees!

Answer:

<DEF= 31.8°

Step-by-step explanation:

Angle DEF is apart of a right angle which is 90°. The other angle, 58.2° is given and that plus DEF would equal 90°.

In an equation:  

< DEF +58.2=90

-58.2            -58.2

----------------------------

<DEF= 31.8°

Answer:

it's c

Step-by-step explanation:

there are 8 bears and 6 monkeys!

hope this helps:)

Answer:

false_(a) 3 € {2,4,6,8} false_(b) 0 € false (c) {1} € {1, 2, 3} true_(d) {2} S {1, 2, 3} true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} true_ () Ø Ç {1,3

Step-by-step explanation:

i don't know about this is this it ?

Answer:

34489

Step-by-step explanation:

Answer:

you need to work on your capitalization.

Step-by-step explanation:

no offense.

Hey there!

The answer is no, they would not return to the original price of $200.

This is because when you decrease 200 by 20%, you get 160. Then, if you increase 160 by 20%, you get 192. This is because 20% of 200 and 20% of 160 is different.

Hope this helps! Have a great day, and good luck on your assignment!

Answer: (-5,-3)

Step-by-step explanation:

Answer:

X-axis:   (5, -3)

Y-axis:   (-5, 3)

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

3 out comes

green black purple spin twice

3*3=9 total outcome

1/9

Answer:

A = ((a+b)/2)h

Step-by-step explanation:

a and b are base (the top and bottom)

h is height

Answer:

Step-by-step explanation:

As per attached graph, there is proportional relationship with the formula:

We can easily find it using points (0, 0) and (2, 250)

The situation would be:

Team of volunteers help to pack meals for charity. They can pack 125 meals in an hour. How many meals would be packed in 20 hours?

Answer:

896

Step-by-step explanation:

1. find 12% (because the time is 2 years) of 800 (94)

2. 96 + 800 = 896

3. answer is 896

Answer:

5x+1

Step-by-step explanation:

(4x+2)+(x-1)=

Combine like terms

4x+x   +2 -1

5x+1

Answer:

B) 0.5p + 6 = 8.50

Step-by-step explanation:

If bananas cost $0.50 per pound, you would have to multiply that by how many pounds Meyer bought, or p. When you found how many bananas Meyer bought, you would have to add the money for the frozen pizza ($6) That will give you a total of $8.50.

Answer:

5 pounds

Step-by-step explanation:

First, we need to find the value of 0.5p so our equation is:

8.5 - 6 = 2.5

Then we need to find the value of p in that 2.5, so our equation is:

2.5 ÷ 0.5 = 5

So Meyer bought 5 pounds of bananas

Answer:

See Step by step explanation

Step-by-step explanation:

Objective Function:  z

x =  number of contemporary style

y = number of farmhouse style

Costs

Carpentry costs:

15*2*x  +  15*2,5*y    =  30*x  +  37,5*y

Painting costs

12*1,5*x  +  12*1*y      =  18*x  +  12*y

Finishing costs

18*1,3*x  +  18*1,2*y    = 23,4*x  + 21,6*y

Total costs:

30*x  + 37,5*y + 18*x  + 12*y  + 23,4*x  + 21,6*y

71,4*x  +  71,1*y

z  =  90*x  +  85*y - ( 71,4*x  +  71,1*y )   to maximize

z  = 18,6*x  +  13,9*y  to maximize

Subject to:

First constraint:

Hours available in carpentry    3000

2*x  +  2,5*y ≤  3000

Second constraint

Hours available in painting  1500

1,5*x  +  1*y  ≤   1500

Third constraint

Hours available in finishing  1500

1,3*x  +  1,2*y  ≤ 1500

Fourth constraint

Minimum quantity of contemporary style  500

x ≥  500

Fifth constraint

Minimum quantity of farmhouse style   650

y  ≥  650

General constraints:

x  ≥  0     y  ≥  0   x , y  integers

Model:

z   =   90*x  +  85*y - ( 71,4*x  +  71,1*y )   to maximize

Subject to:

2*x  +  2,5*y ≤  3000

1,5*x  +  1*y  ≤   1500

1,3*x  +  1,2*y  ≤ 1500

x ≥  500

y  ≥  650

x  ≥  0     y  ≥  0   x , y  integers

The mathematical expression for each of the constraints on the three processes.

Model z  =   90*x  +  85*y - ( 71,4*x  +  71,1*y )  

Subject to

2*x  +  2,5*y ≤  3000

1,5*x  +  1*y  ≤   1500

1,3*x  +  1,2*y  ≤ 1500

x ≥  500

y  ≥  650

x  ≥  0    y  ≥  0   x , y  integers.

We, wants to maximize the total weekly profit.

a constraint is a condition of an optimization problem that the solution must satisfy.

Objective function:  z

x =  number of contemporary style

y = number of farmhouse style

We have to find the cost

The carpentry costs is,

15*2*x  +  15*2,5*y    = 30*x  +  37,5*y

The painting costs is

12*1,5*x  +  12*1*y      =  18*x  +  12*y

The finishing costs is

18*1,3*x  +  18*1,2*y    = 23,4*x  + 21,6*y

Therefore the total costs is,

30*x  + 37,5*y + 18*x  + 12*y  + 23,4*x  + 21,6*y

71,4*x  +  71,1*y

z  =  90*x  +  85*y - ( 71,4*x  +  71,1*y )   to maximize

z  = 18,6*x  +  13,9*y  to maximize

Subject to the constraint;

The first constraint is,

The hours available in carpentry   3000

2*x  +  2,5*y ≤  3000

The second constraint is,

Hours available in painting  1500 so,

1,5*x  +  1*y  ≤   1500

The third constraint is,

Hours available in finishing  1500 so,

1,3*x  +  1,2*y  ≤ 1500

Fourth constraint is,

The minimum quantity of contemporary style  500 so,

x ≥  500

The fifth constraint is

The minimum quantity of farmhouse style   650 so,

y  ≥  650

The general constraints are,

x  ≥  0     y  ≥  0   x , y integers,

Therefore the Model z  =   90*x  +  85*y - ( 71,4*x  +  71,1*y )   to maximize,

Subject to

2*x  +  2,5*y ≤  3000

1,5*x  +  1*y  ≤   1500

1,3*x  +  1,2*y  ≤ 1500

x ≥  500

y  ≥  650

x  ≥  0    y  ≥  0   x , y  integers,

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