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Mumz
15 days ago
8

Program X has an annual cost of $35,000, and, in return, is expected to save the Company C $40,000 during the first year. Assumi

ng the cost and savings are equally distributed across each month, after how many months will the company recover its investments in Program X
Mathematics
1 answer:
babunello [3.6K]15 days ago
7 0
The cost of Program X is $35,000, and it generates yearly savings of $40,000. To find the payback period:
Cost divided by savings times 12 months
35000 / 40000 × 12
= 10.5 months
Thus, the company will recover its investment in 10.5 months.
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Mai has 40 tens. write how many hundreds. write the number.
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40 tens converts to how many hundreds? The calculation is 40 multiplied by 10, resulting in 400.
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12 days ago
A semicircular flower bed has a diameter of 3 metres.
babunello [3678]

Answer:

3.5 m^2

Step-by-step explanation:

For a shape that is half a circle, use the formula: A = \frac{1}{2} π r^2

Calculate the radius, which is half of the diameter: r = d/2 = 3/2 = 1.5

Insert r = 1.5 into the formula.

A = \frac{1}{2} π 1.5^2

A = \frac{1}{2} (3.14) 1.5^2

Calculate the result with your calculator and round it off.

The final answer is 3.5

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14 days ago
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One student from a high school will be selected at random. Let A be the event that the selected student is a student athlete, an
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Answer:

0.32

Step-by-step explanation:

P(B|A) = P(A∩B) / P(A)

0.25 = 0.08 / P(A)

P(A) = 0.32

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2 days ago
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The mapping diagram shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range
Svet_ta [4347]

Answer:

(3, -1) That’s my opinion.

Step-by-step explanation:

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11 days ago
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Find the dimensions of the closed rectangular box with maximum volume that can be inscribed in the unit sphere.
Inessa [3929]

Answer:

Wyjaśnienie krok po kroku:

Załóżmy, że prostokąt ma wierzchołki (x,y,z) w dodatnim oktancie.  Prostokątny pudełko musi być symetryczne względem wszystkich trzech osi.

Wtedy jego boki to

2x,2y,2z

Objętość = 8xyz

Maksymalizuj objętość przy założeniu

x^2+y^2+z^2 =1

tj. g(x,y,z) = x^2+y^2+z^2 -1=0

Użyj mnożników Lagrange'a, mamy

∇f(x,y,z)=λ∇g(x,y,z)przy maksimum

∇f(x,y,z)=λ∇g(x,y,z) =(8yz,8xz,8xy)\\∇g(x,y,z)=(2x,2y,2z)

8yz=2λx8xz=2λy8xy=2λz

Dzieląc otrzymujemy

\frac{y}{x} =\frac{x}{y} \\x^2=y^2

Podobnie y^2=z^2

Zatem otrzymujemy 3x^2 =1\\x = \frac{1}{\sqrt{3} }

Stąd wymiary to

(2x,2y,2z)

<pzatem wymiary="" to="">

\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} },\frac{2}{\sqrt{3} } )

</pzatem>
3 0
1 day ago
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