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Paul [167]
3 years ago
11

The CD Recyclery sells used CDs for $10 each and buys them for $6 each. Bob paid $20 when he bought and sold the same number of

CDs. How many CDs did he buy?
Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

2

Step-by-step explanation:

you can figure that out by knowing the recyclery sells them for 10 and he a $20 tat means he got two of them

You might be interested in
- 3x + 4 and passes through the point (2,5)
Anuta_ua [19.1K]

Answer:

y=(x+13)/3

Step-by-step explanation:

the question is not quite clear, i think u mean y= -3x + 4

then, the slope of the line perpendicular to the given line is m1.m2= -1, hence, -3.m2= -1 m2 = 1/3

y-5=1/3(x-2) y=x/3+13/3 or y=(x+13)/3

6 0
3 years ago
A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the number of cakes sold per
HACTEHA [7]

Answer:

A) Revenue function = R(x) = (580x - 10x²)

Marginal Revenue function = (580 - 20x)

B) Fixed Cost = 900

Marginal Cost function = (300 + 50x)

C) Profit function = P(x) = (-35x² + 280x - 900)

D) The quantity that maximizes profit = 4

Step-by-step explanation:

Given,

The Price function for the cake = p = 580 - 10x

where x = number of cakes sold per day.

The total cost function is given as

C = (30 + 5x)² = (900 + 300x + 25x²)

where x = number of cakes sold per day.

Please note that all the calculations and functions obtained are done on a per day basis.

A) Find the revenue and marginal revenue functions [Hint: revenue is price multiplied by quantity i.e. revenue = price × quantity]

Revenue = R(x) = price × quantity = p × x

= (580 - 10x) × x = (580x - 10x²)

Marginal Revenue = (dR/dx)

= (d/dx) (580x - 10x²)

= (580 - 20x)

B) Find the fixed cost and marginal cost function [Hint: fixed cost does not change with quantity produced]

The total cost function is given as

C = (30 + 5x)² = (900 + 300x + 25x²)

The total cost function is a sum of the fixed cost and the variable cost.

The fixed cost is the unchanging part of the total cost function with changing levels of production (quantity produced), which is the term independent of x.

C(x) = 900 + 300x + 25x²

The only term independent of x is 900.

Hence, the fixed cost = 900

Marginal Cost function = (dC/dx)

= (d/dx) (900 + 300x + 25x²)

= (300 + 50x)

C) Find the profit function [Hint: profit is revenue minus total cost]

Profit = Revenue - Total Cost

Revenue = (580x - 10x²)

Total Cost = (900 + 300x + 25x²)

Profit = P(x)

= (580x - 10x²) - (900 + 300x + 25x²)

= 580x - 10x² - 900 - 300x - 25x²

= 280x - 35x² - 900

= (-35x² + 280x - 900)

D) Find the quantity that maximizes profit

To obtain this, we use differentiation analysis to obtain the maximum point of the Profit function.

At maximum point, (dP/dx) = 0 and (d²P/dx²) < 0

P(x) = (-35x² + 280x - 900)

(dP/dx) = -70x + 280 = 0

70x = 280

x = (280/70) = 4

(d²P/dx²) = -70 < 0

Hence, the point obtained truly corresponds to a maximum point of the profit function, P(x).

This quantity demanded obtained, is the quantity demanded that maximises the Profit function.

Hope this Helps!!!

8 0
3 years ago
An ice cream truck that plays loud music is circling Bulans neighborhood. C(t) models the volume of the music in dB that Bulan h
ELEN [110]

Answer:

  5.5 minutes

Step-by-step explanation:

Fill in the given information and solve for t.

  75 = -15cos(2πt/15) +65

  -10/15 = cos(2πt/15)

  t = 15/(2π)arccos(-2/3) ≈ 5.492

The volume reaches 75 dB about 5.5 minutes after the truck arrives.

8 0
3 years ago
Convert 0.50 sen /g to RM/kg ​
IgorC [24]

the conversion is:

0.50 sen /g = 5 RM/kg

<h3>How to change the units?</h3>

First, we know that

1sen = 0.01RM

Then we can change:

0.50 sen /g = 0.50*(0.01 RM) /g = 0.005 RM/g

Now we use the relation:

1g = 0.001kg

So we can rewrite:

0.005 RM/g = 0.005 RM/(0.001kg) = 5 RM/kg

So the conversion is:

0.50 sen /g = 5 RM/kg

If you want to learn more about changes of units:

brainly.com/question/9032119

#SPJ1

7 0
2 years ago
Imani's rent increased from $560 per month to $600 per month. Her friend, Ariana, had her rent increase
Kipish [7]

Answer:

Imani's rent had a higher percent increase

Step-by-step explanation:

A change from 560 to 600 represents a positive change (increase) of 7.1428571429%

A change from 825 to 875 represents a positive change (increase) of 6.0606060606%

Percent change = New - Old /825 × 100

3 0
2 years ago
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