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Nadya [2.5K]
3 years ago
11

A word processing program requires a user to enter a 7-digit registration code made up of the digits 1,2,4,5,6,7 and 9. Each num

ber has to be used, and no number can be used more than once. How many codes are possible?
Mathematics
1 answer:
ahrayia [7]3 years ago
6 0
For the first digit there are 7 choices. For the second digit there are 6 choices (because we can't use the same one again). And so on, until there is only one choice for the last digit.

The number of possible codes is this:
7*6*5*4*3*2*1 = 7! = 5040
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Austin borrowed money from a credit union for 4 years and was charged simple interest at an annual rate of 5% the total interest
Reika [66]

Given:

Rate of simple interest = 5%

Time = 4 years

Total interest = $160

To find:

The amount borrowed by Austin from a credit union.

Solution:

The formula for simple interest is:

I=\dfrac{P\times r\times t}{100}

Where, P is principal, r is the rate of interest and t is the number of years.

Putting I=160,r=5,t=4 in the above formula, we get

160=\dfrac{P\times 5\times 4}{100}

160=\dfrac{20P}{100}

160=\dfrac{P}{5}

Multiply both sides by 5.

800=P

Therefore, Austin borrowed $800 from a credit union for 4 years.

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3 years ago
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Rudiy27

Answer:

Step-by-step explanation:

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7 0
3 years ago
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The value of x for which 3 (x-2) = 2 (x+1)​
netineya [11]

Answer:

x = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

3(x - 2) = 2(x + 1)

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

  1. Distribute:                                     3x - 6 = 2x + 2
  2. Subtract 2x on both sides:          x - 6 = 2
  3. Add 6 to both sides:                    x = 8

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                    3(8 - 2) = 2(8 + 1)
  2. Subtract/Add:                      3(6) = 2(9)
  3. Multiply:                               18 = 18

Here we see that 18 does indeed equal 18.

∴ x = 8 is a solution to the equation.

7 0
3 years ago
Can someone help me figure this one out?
Alekssandra [29.7K]

the equation of the line is

y = 6/5xy + 7/5x - 2/5

4 0
3 years ago
The point U (-2,0) is translated 1 unit up. What are the coordinates of the resulting point, U’?
MrRissso [65]

Answer:

Point U' (-2, 1)

Step-by-step explanation:

When moving up and down on a graph, this affects the y coordinate only.

Since it is moving up 1 unit, we have to add 1 to the y coordinate. So U' will end up being (-2, 1).

4 0
3 years ago
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