A firm desires to control inventory levels so as to minimize the sum of holding and order costs. It costs the firm $50 to place an order. The firm estimates its annual carrying charge is 20%. Weekly demand is 100 units, and there are 50 weeks in the work year. The item costs $10 per unit. The lead-time for the product is 3 weeks. Assume that there are 5 working days per week. What quantity of items should the firm order each time so as to minimize total inventory costs, i.e., what is the EOQ?
A. 100
B. 224
C. 500
D. 1000
E. none of the above

Answer: Guam

Step-by-step explanation:

Guam's location is the warmest because its a higher number than Greenland and Germany

Answer:

if the scale used 1/4 inch = 3 feet, then what is the perimeter of the actual garden? AI Recommended Answer: The perimeter of the actual garden is 144 feet.

Step-by-step explanation:

1 centimeter = 10 millimeters

M-5/8 = -1/4

Add 5/8 to both sides:

M = -1/4 + 5/8

Rewrite the fractions to have a common denominator

-1/4 = -2/8

Now you have m = -2/8 + 5/8

M = 3/8

Answer:

The answer is 0.375 (3/8)

Step-by-step explanation:

Since the M is subtracted by 5/8, you add 5/8 to both sides of the equation to get the M by itself and -1/4+5/8 equals 0.375, or 3/8

Answer:

RM = 12 cm

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Assuming 20 is the hypotenuse cus there is no picture:

[tex]a^{2} + 16^{2} = 20^{2}[/tex]

[tex]a^{2} +256 = 400[/tex]

[tex]a^{2} = 144[/tex]

[tex]a=144[/tex]

If It's not the hypotenuse:

[tex]16^{2}+ 20^{2} =c^{2}[/tex]

[tex]256+400 =c^{2}[/tex]

[tex]656=c^{2}[/tex]

[tex]c = 25.61249695[/tex]

But I find it unlikely that 20 wasn't the hypotenuse so ignore that unless it applies.

Hope this helped. :0)

Answer: 624 Square meters

Step-by-step explanation:

Answer:

A. grant

that's the answer

Step-by-step explanation:

a probability is always

desired cases / totally possible cases.

now in our case the totally possible area is the area of the triangle XYZ (when D = Z).

the desired case is the area of 20 (which contains also the possibilities of smaller areas).

so, the probability is 20/area.

now, let's find the area of XYZ :

Pythagoras tells us the length of the Hypotenuse :

XZ² = XY² + YZ² = 12² + 6² = 144 + 36 = 180

XZ = sqrt(180)

the area based on all 3 sides we get via Heron's formula

s = (a+b+c)/2

A = sqrt(s(s-a)(s-b)(s-c))

s = (12+6+sqrt(180))/2 = 9 + sqrt(180/4) = 9 + sqrt(45)

sqrt(180) = 2×sqrt(45)

A = sqrt((9+sqrt(45))(-3+sqrt(45))(3+sqrt(45))(9-sqrt(45)))

(a+b)(a-b) = a² - b²

so,

(9+sqrt(45))(9-sqrt(45)) = 81 - 45 = 36

(-3+sqrt(45))(3+sqrt(45)) = 45 - 9 = 36

A = sqrt(36×36) = 6×6 = 36

the probability that the area of XYD is max. 20 is

20/36 = 5/9

Answer:

The surface area of the figure is 412 cm2.

Step-by-step explanation:

To determine the total surface area of a prism, the following formula must be applied: perimeter of the base x height + 2 x area of the base = total surface area. Thus, the calculations of the blue prism must be carried out and then add the sides of the red figure that do not coincide with it:

Blue figure:

(12 x 2 + 2 x 2) x 10 + 2 x (12 x 2) = X

(24 + 4) x 10 + 2 x 24 = X

28 x 10 + 48 = X

280 + 48 = X

328 = X

Red figure:

3 x 8 = 24 x 2 = 48

3 x 6 = 18 x 2 = 36

328 + 48 + 36 = X

376 + 36 = X

412 = X

Therefore, the surface area of the figure is 412 cm2.

Answer:

D

Step-by-step explanation:

Volume of one prism

V = base x width x height = 14 x 9 x 10 = 1260 in^3

Volume of the solid

V = volume of one prims x 8 = 1260 x 8 = 10,080 in^3

Answer:

1)2 2)third 3)8

Step-by-step explanation:

So for the first one doubled just means times 2

for the second r³ means to the third power

for the last one all you do is put some values in and calculate the radius volume ratio which is, when the radius is doubled the volume is octupled (times 8)

would be amazing if you Marked this as brainliest

Answer:

Step-by-step explanation:

area=πr^2

so we need to find the area then divide by 8

so

we know that diameter=2radius or diameter/2=radius so

12=diameter

12/2=radius=6

subsitute

area=π(6)^2

area=36π

divide 36π by 8

36π/8=18π/4=9π/2π=4.5π

area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get

4.5(3.14159)=area=14.1372 square feet or 14.14 square feet

Answer:

Let x=number of girls in the class

Then x+27 =total number of students in the class

So our equation to solve is :

40% of (x+27)=x or

0.40(x+27)=x get rid of parens

0.40x+10.8=x subtract 0.40x from each side

0.40x-0.40x+10.8=x-0.40x collect like terms

Step-by-step explanation:

Dalisay hits the target more.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

Kendra hits the target 3 times every 5 misses.

And, Dalisay hits the target 5 times every 7 misses.

Since, Kendra hits the target 3 times every 5 misses.

Hence, In 1 misses Kendra hits the target = 3/5 times

                                                               = 0.6 times

And,  Dalisay hits the target 5 times every 7 misses.

Hence,  In 1 misses Dalisay hits the target = 5/7 times

                                                               = 0.74 times

Thus, Dalisay hits the target more.

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Answer:

14. 1/13

15. 14/15

16. 1/13

17. 15/30=1/2

18. 12/13

19. 12/15

If you are happy with my answers, please give brainliest <3

Answer:

X=y-8................

The equation that represents the sentence is y ÷ 6₄¹ = 11₄³

The word quotient is the outcome when dividend is divided by a divisor.

The result that comes from a division process is termed as quotient. While writing an equation quotient is placed on the right-hand side of the equal sign.

The number that is divided by other number is called dividend and this other number is called divisor.

11³₄ is the quotient of a number y and 6¹₄.

47/4 is the quotient of a number y and 25/4

hence, y is the dividend and 25/4 is the divisor

y ÷ 25/4 = 47/4

y × 4/25 = 47/4

y = 1175/16

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The density of the material is 1533.3 grams per quarts.

Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.

Given that, the density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume.

The formula to find the density is Density=Mass/Volume

Density =6900/4.5

Density= 1533.3 grams per quarts

Therefore, the density of the material is 1533.3 grams per quarts.

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Answer:

[tex]\frac{2}{9}[/tex]

Step-by-step explanation:

1/2 ÷ 2 1/4

1/2 ÷ 9/4

1/2 x 4/9 = 4/18 = 2/9

Answer:

x² + 10x + 25 = 31

Step-by-step explanation:

To complete the square use half the x coefficent (10/2 = 5)

and square it (5² = 25)

Then add it to both sides

x² + 10x + 25 = 6 + 25

x² + 10x + 25 = 31

Answer:

x^2 + 10x + 25 = 31

Step-by-step explanation:

x^2 + 10x + (10/2)^2 = 6 + 25

x^2 + 10x + 25 = 6 + 25

x^2 + 10x + 25 = 31

The first step requires a bit of explanation. The way to complete the square is to take 1/2 the linear term (10x) and square it

1/2 10 = 5

5 squared = 25

That number must be added to the right side to maintain equality.

Answer:

Step-by-step explanation:

Assumed the base is the longer side.

The height of the parallelogram is:

The area is:

Answer:

215132

Step-by-step explanation:

deltamath

Answer:

The woman bought 2 items at $12 each.

Step-by-step explanation:

Given that a woman bought a number of items for $ 24, and she realized that if she had bought 4 more items for the same money, she would have paid $ 8 less per item, to determine how many Items did she buy the following calculation must be done:

X = 24

X + 4 = 24

24/2 = 12

24/6 = 4

12 - 4 = 8

Therefore, the woman bought 2 items.

Answer:

3

Step-by-step explanation:

[tex] \sin(45) = \frac{a}{7 \sqrt{2} } [/tex]

[tex]a = 7[/tex]

[tex] \tan(30) = \frac{7}{c} [/tex]

[tex]c = 7 \sqrt{ 3} [/tex]

therefore 3 is required in the green box

Answer:

am not sure but I think is true. I am hopeful

Answer:

Step-by-step explanation:

Substitute to verify:

Answer:

83°

Step-by-step explanation:

-4m+51-4m+42= 158°

-8m+94= 158

-8m= 64

m= -8

JMK= -4m+51

      = -4(-8)+51

      = 32=51

      = 83°

Answer:

11:01 am

Step-by-step explanation:

If paco drives 55 miles per hour you must divide 274 by 55 to find the amount of time it will take for him to reach his destination:

274÷55=4.981818...

Now we have 4 hours plus 0.981818.. hours which the latter we multiply by 60 to find out how many minutes are 0.981818 hours:

60×0.981818...=58.9090...

which I will round to 59 as clocks show an hour and a minute so rounding it so it's accurate to the second is unnecassary, this means it will take him 4 hours 59 minutes to reach his destination so we subtract this from 4:00 pm:

4:00 pm-4 hours 59 minutes= 11:01 am

So our answer is 11:01 am

Answer:

tan 0= -2.4

sin 0 = 0.42

Step-by-step explanation:

sec 0 = -13/12 => cos 0 = -12/13

cot 0 < 0 => tan 0 < 0

so, the angle is on second quadrant

=> tan 0 = -12/5 = -2.4

=> sin 0 = 5/12 = 0.42

Answer:

Solution given;

Sec θ=-[tex]\frac{13}{12}[/tex]

cotθ< 0,

It lies in second quadrant.

where sin and cosec is positive.

Now

[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]

cosθ=[tex]\frac{12}{13}[/tex]

[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]

b=12

h=13

By using Pythagoras law

p=[tex] \sqrt{13²-12²}=5 [/tex]

Now

exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]

since it lies in II quadrant

tan θ=-[tex]\frac{5}{12}[/tex]

and

sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]

since it lies in II quadrant

sin θ=[tex]\frac{5}{13}[/tex]

Answer:2009#73

Step-by-step explanation:

3939+373

Ie,ek

Answer:

13 - 10x

= -3x

hope it helps