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rosijanka [135]
2 years ago
7

A number is called evil if it has 666 in it. How many 7 digit numbers are evil?

Mathematics
1 answer:
defon2 years ago
5 0

Step-by-step explanation:

There are 5 different positions of 666:

666////

/666///

//666//

///666/

////666

The forward dashes represent any number from 0 to 9.

Case 1: "666////"

Number of ways = 10⁴ = 10,000.

Case 2: The other positions.

Since the 1st forward dash cannot be 0 (leading digit),

Number of ways for each position = 9 * 10³ = 9,000

Number of ways for all 4 positions = 9,000 * 4 = 36,000.

Total evil numbers = 10,000 + 36,000 = 46,000.

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You decide to market your own custom computer software. You must invest 3,255 for computer hardware,and spend 2.90 to buy and pa
ivanzaharov [21]

Answer: c) 300 copies

Step-by-step explanation:

Let x represent the number of copies that you must sell to break even.

You decide to market your own custom computer software. You must invest 3,255 for computer hardware,and spend 2.90 to buy and package each disk. This means that the total cost of producing each software would be

3255 + 2.9x

If each program sells for $13.75, it means that the total revenue from selling each software would be

13.75x

In order to break even, total cost would be equal to total revenue. Therefore,

3255 + 2.9x = 13.75x

13.75x - 2.9x = 3255

10.85x = 3255

x = 3255/10.85

x = 300 copies

8 0
3 years ago
Solve the inequality and graph its solution...<br> 2x+4≥24
Dima020 [189]
X=10
This is the answer to sol e for your equation you are asking

6 0
2 years ago
Read 2 more answers
HELP ASAP:( Roberto lives thirty-eight miles from his college. During school, he rides his bike at 5 mph to the bus station. He
KATRIN_1 [288]

Answer:

Step-by-step explanation:

4 miles I believe

5 0
3 years ago
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Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Dmitry [639]

Answer:

Step-by-step explanation:

I'm sure you want your functions to appear as perfectly formed as possible so that others can help you.  f(x) = 4(2)x should be written with the " ^ " sign to denote exponentation:  f(x) = 4(2)^x

                                                                                      f(b) - f(a)

The formula for "average rate of change" is a.r.c. = --------------

                                                                                           b - a

                                    change in function value

This is equivalent to  ---------------------------------------

                                            change in x value

For Section A:  x changes from 1 to 2 and the function changes from 4(2)^1 to  4(2)^2:  8 to 16.  Thus, "change in function value" is 8 for a 1-unit change in x from 1 to 2.  Thus, in this Section, the a.r.c. is:

                 8

               ------ = 8 units    (Section A)

                  1

Section B:  x changes from 3 to 4, a net change of 1 unit:  f(x) changes from

4(2)^3 to 4(2)^4, or 32 to 256, a net change of 224 units.  Thus, the a.r.c. is

        224 units

      ----------------- = 224 units (Section B)

            1 unit

The a.r.c for Section B is 28 times greater than the a.r.c. for Section A.

This change in outcome is so great because the function f(x) is an exponential function; as x increases in unit steps, the function increases much faster (we say "exponentially").

7 0
3 years ago
The local office supply store charges $0.08 per page to make photocopies. Lionel paid $20.00 for a set of copies. How many pages
Ivanshal [37]
Lionel had 250 pages copied

This is because 20/.08=250.
8 0
3 years ago
Read 2 more answers
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