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timofeeve [1]
3 years ago
8

A software company is releasing one of their products on a CD. The manufacturer charges a $9700 setup fee and $1.25 per CD. Appr

oximately how many CDs must be produced so that the total cost per CD is $3.50?
Mathematics
1 answer:
Gre4nikov [31]3 years ago
3 0

Answer:

  about 4312

Step-by-step explanation:

You want the total cost for n CDs to be 3.50n.

The manufacturer will charge you 9700+1.25n, so you want these to be equal:

  3.50n = 9700 +1.25n

  2.25n = 9700 . . . . . . . . subtract 1.25n

  n = 9700/2.25 ≈ 4311.111...

Producing 4312 CDs will make the cost per CD slightly less than $3.50.

____

Producing 4311 CDs will make the cost per CD be about $3.500058. Producing 4312 CDs will bring it down to $3.499536.

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Which is a true conclusion based on the Venn diagram? If a number is prime, it is also odd. If a number is odd, it is also prime
krek1111 [17]

Answer:

If a number is prime, it may or may not be odd.

Step-by-step explanation:

The prime numbers are all natural numbers greater than 1, which are only divisible between themselves and between 1. For example: 2, 3, 5, 7, 11 ...

A Venn diagram is shown in the attached figure

There you can see that not all even numbers are primes for example, 4 is an even number, but it is not a prime number. Then, not all odd numbers are prime numbers, for example 9 is an odd number, but it is not a prime number.

Neither all prime numbers are odd, for example the number 2 is a prime number and it is not odd.

Notice in the attached Venn diagram that the set of prime numbers contains even numbers and also odd numbers.

Therefore, the correct statement is the last option:

If a number is prime, it may or may not be odd.


7 0
3 years ago
In the diagram below,
mel-nik [20]

Answer:

<H = 40

Step-by-step explanation:

Complementary angles add to 90 degrees

2x+10 + x+20 = 90

Combine like terms

3x+30 = 90

Subtract 30

3x+30 -30 = 90-30

3x = 60

Divide by 3

3x/3 = 60/3

x = 20

<H = x+20 = 20+20 = 40

3 0
3 years ago
ASAP Free points, please solve -2m+36=2(6m-3)?<br>​
Komok [63]

Answer:

m = 3

Step-by-step explanation:

We can try and isolate m on one side of the equation by following the rules of simplifying equations.

-2m + 36 = 2(6m - 3)\\\\-2m+36 = 12m - 6\\\\36 = 14m-6\\\\42 = 14m\\\\3 = m

Hope this helped!

6 0
3 years ago
Read 2 more answers
A carpenter has a piece of wood that is 10 yards long and a piece that is 5 feet long. How many feet of wood does the carpenter
erica [24]
He has 10 yards and 5 feet or are u trying to get it all in feet

5 0
3 years ago
Find the inverse of f(x) = -4x - 12​
olga2289 [7]

Answer:

\implies f^{-1}(x) =-\dfrac{x}{4}-3

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • f(x) = -4x-12

And we need to find out the Inverse of the function . Let us assume that f(x) = y . Now , firstly replace x with y and vice versa.

<u>Function</u><u> </u><u>:</u><u>-</u><u> </u>

\implies f(x) = -4x - 12 \\\\\implies y = -4x-12

<u>Interchanging</u><u> </u><u>x </u><u>and </u><u>y </u><u>:</u><u>-</u><u> </u>

\implies x = -4y - 12

<u>Solve </u><u>out</u><u> </u><u>for </u><u>y </u><u>:</u><u>-</u><u> </u>

\implies x = -4y - 12 \\\\\implies -4y = x +12 \\\\\implies y =\dfrac{x+12}{-4}\\\\\implies y =-\dfrac{x}{4}-3

<u>Replace</u><u> </u><u>y with</u><u> </u><u>f-¹</u><u>(</u><u>x)</u><u> </u><u>:</u><u>-</u><u> </u>

\implies f^{-1}(x) =-\dfrac{x}{4}-3

<u>Hence </u><u>the </u><u>inverse</u><u> of</u><u> the</u><u> function</u><u> is</u><u> </u><u>-x/</u><u>4</u><u>-</u><u>3</u><u> </u><u>.</u>

8 0
3 years ago
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