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OverLord2011 [107]

3 years ago

15

When no more than 110 units are produced, the cost of producing y units is given by C(x).

1 answer:

Maslowich3 years ago

6 0

Producing 73.8 units gives the lowest possible average cost.

The average cost (AC) is the ratio of the total cost to the number of units produced. It is given by:

AC = C(x) / x

AC = (0.2x³ – 24x² + 1514x +30064) / x

AC = 0.2x² - 24x + 1514 + 30064/x

The lowest possible average cost is at AC' = 0. Hence differentiating the average cost, gives:

AC' = 0.4x - 24 - 30064/x²

0.4x - 24 - 30064/x² = 0

0.4x³ - 24x² - 30064 = 0

Solving the cubic polynomial gives:

x = 73.8 units

Therefore the lowest possible average cost is when 73.8 units are produced.

Find out more at: brainly.com/question/20346871

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Use Net to find the lateral area of the prism. Please show how to work the problem out please

qaws [65]

Think of the three rectangles as a single large rectangle and find its area.

For the large rectangle made up of the three small rectangles:
Length = 8 cm + 15 cm + 17 cm = 40 cm
Width = 11 cm

area = length * width

area = 40 cm * 11 cm

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3 0

4 years ago

Read 2 more answers

If ab= 53 and ac= 81, find bc

Snowcat [4.5K]

If you know the total length, and the length of one part, and you're trying to find the other part, just subtract.

81-53=28

bc=28

8 0

3 years ago

What is the scale factor?*

NeTakaya

Answer:

Scale factor is 3

Step-by-step explanation:

The distance in A and B is 2

The distance in A' and B' is 6

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8 0

3 years ago

Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old. How much will be in the account when he

weeeeeb [17]

Answer:

$11535.60

Step-by-step explanation:

We have been given that Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old.

To find the amount that Jackson will earn when he is 40 years old, we will use compound interest formula.

$A=P\cdot e^{rT}$

A= Amount after T years.

P= Principal amount.

e= Mathematical constant e.

r= Interest rate (in decimal form).

T= Time in years.

Let us convert our given interest rate into decimal form.

$3.8\text{ percent}=\frac{3.8}{100}=0.038$

Upon substituting our given values in above formula we will get,

$A=5000\cdot e^{(0.038\times (40-18))}$

$A=5000\cdot e^{(0.038\times 22)}$

$A=5000\cdot e^{0.836}$

$A=5000\cdot 2.307120015126555$

$A=11535.600075632775\approx 11535.60$

Therefore, Jackson will have $11535.60 in his account when he is 40 years old.

4 0

3 years ago

X + (3x - 4) = 5 - (-7 - 3x)

antiseptic1488 [7]

Answer:

x = 16

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

x + (3x - 4) = 5 - (-7 - 3x)

<u>Step 2: Solve for </u><em><u>x</u></em>

[Distributive Property] Distribute negative: x + 3x - 4 = 5 + 7 + 3x
[Addition] Combine like terms: 4x - 4 = 12 + 3x
[Subtraction Property of Equality] Subtract 3x on both sides: x - 4 = 12
[Addition Property of Equality] Add 4 on both sides: x = 16

8 0

3 years ago