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shusha [124]
3 years ago
8

A special type of password consists of 3 different letters of the alphabet, and the two different numbers, where each letter and

each number is used only once. How many different possible passwords are there?
Mathematics
2 answers:
Nataly [62]3 years ago
7 0

Answer:

14,040,000

Step-by-step explanation:

You want to have 3 different letters at first, in the first "slot" for a letter, there are 26 letters to choose from. Next slot there is only 25, because one is taken. Last slot there is 24.  Then for the numbers, we can use the same technique. In the first "slot" there are 10 digits to choose from. In the second there are 9. Now we get to multiply them up: 26*25*24*10*9=14,040,000

dybincka [34]3 years ago
6 0

Answer:

14040000

yeah, thats the answer... so yeah.

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What is 2m+12=3m-31?
sukhopar [10]

Answer:

m=43

Step-by-step explanation:

2m-3m=-31-12

-m=-43

m=43 (Because if we divide -1m/-1 = 1m and -43/-1 = 43)

5 0
3 years ago
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I need to know the solution to this
Alex73 [517]
There are two ways to do this but the way I prefer is to make one of the equations in terms of one variable and then 'plug this in' to the second equation. I will demonstrate

Look at equation 1, -2x+y=10 this can quite easily be manipulated to show y=10+2x.

Then because there is a y in the second equation (and both equations are simultaneous) we can 'plug in' our new equation where y is in the second one 4x-y=-14 \Rightarrow 4x-(10+2x)=-14 which can then be solved for x since there is only one variable 4x-10-2x=-14 \Rightarrow 2x=-4 \Rightarrow x=-2 and then with our x solution we can work out our y solution by using the equation we manipulated y=10+2x = 10+(2 \times -2) = 10-4=6.

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8 0
3 years ago
Simplify (6x2 - 3 + 5x3) - (4x3 - 2x2 - 16​
Masteriza [31]

Answer:

x^3 +8x^2 +13

Step-by-step explanation:

(6x^2 - 3 + 5x^3) - (4x^3 - 2x^2 - 16​)

Distribute the minus sign

6x^2 - 3 + 5x^3 -4x^3 + 2x^2 + 16​

Combine like terms

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8 0
3 years ago
A total of $12,000 is invested at an annual interest rate of 9%. Find the balance
sineoko [7]

Answer:

$18,726.11

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First lets change 9% into a decimal:

9% -> \frac{9}{100} -> 0.09

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=12,000(1+\frac{0.09}{4})^{4(5)}

A=18,726.11

<u>The balance after 5 years is $18,726.11</u>

6 0
3 years ago
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faltersainse [42]

Answer:

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Step-by-step explanation:

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