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2 years ago

If fixed costs are 100, and variable costs are at 5 per unit, find the total cost when Q=10.

Mathematics

1 answer:

kompoz [17]2 years ago

6 0

The total cost when Q = 10 is $150

Step-by-step explanation:

Th equation y = mx + b represents any linear function, where

m is the unit rate
b is the fixed amount

∵ The fixed costs are $100

∵ The variable costs are $5 per unit

∵ There are Q units

- Represent the total cost by the function c(Q)

∴ c(Q) = 5 Q + 100, where c(Q) is the total cost of Q units

∵ c(Q) = 5 Q + 100

∵ Q = 10

- Substitute Q by 10

∴ c(10) = 5(10) + 100

∴ c(10) = 50 + 100

∴ c(10) = 150

The total cost when Q = 10 is $150

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A storage container shaped as a rectangular prism can hold 896 wooden cube blocks with edge lengths of 14 ft.

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Answer:

224

Step-by-step explanation:

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1 year ago

Element X is a radioactive isotope such that its mass decreases by 26% every day. If an experiment starts out with 810 grams of

ioda

Answer:

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

$A(t) = A(0)(1-r)^t$

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Hourly rate of change:

Decreases 26% by day. A day has 24 hours. This means that $A(24) = (1-0.26)A(0) = 0.74A(0)$ ; We use this to find r.

$A(t) = A(0)(1-r)^t$

$0.74A(0) = A(0)(1-r)^{24}$

$(1-r)^{24} = 0.74$

$\sqrt[24]{(1-r)^{24}} = \sqrt[24]{0.74}$

$1 - r = (0.74)^{\frac{1}{24}}$

$1 - r = 0.9875$

$r = 1 - 0.9875 = 0.0125$

The hourly decay rate is of 1.25%, so the hourly rate of change is of -1.25%.

Starts out with 810 grams of Element X

This means that $A(0) = 810$

Element X is a radioactive isotope such that its mass decreases by 26% every day.

This means that we use, for this equation, r = 0.26.

The equation is:

$A(t) = A(0)(1-r)^t$

$A(t) = 810(1 - 0.26)^t$

$A(t) = 810(0.74)^t$

The function to represent the mass of the sample after t days is $A(t) = 810(0.74)^t$

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2 years ago

GET POINTS look at pictur 15 POINTS

kap26 [50]

2. y=2x+3

When x =0 and y= something, the 'something' is your y-intercept which is b in the y=mx+b formula. Then we look at what is changed in the x and y value to determine the m part. the x increase by 1 and y increase by 2 so the m part is 2.

3. y=-7x
Same as the last one, there is no y-inter this time because the y=0 when x=0/ So the y deceased by 7 each time and x incease by 1 so it is -7 for the m part.

6 0

2 years ago

Read 2 more answers

Write an equation for the nth term of the arithmetic sequence −15, −33, −51, −69, .... An equation for the nth term of the

stira [4]

Given:

The arithmetic sequence is −15, −33, −51, −69.

To find:

The nth term of the arithmetic sequence.

Solution:

We have,

−15, −33, −51, −69