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Reptile [31]
3 years ago
12

To use an automated teller machine at a certain​ bank, you must enter a 4​-digit ​code, using the digits 0 dash 9. How many 4​-d

igit codes are possible if repetition of digits is​ permitted?
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
4 0

Answer:

100000 4-digit codes

Step-by-step explanation:

using the digits 0 dash 9, we want to pick 4 digits code.

The total number of digits available for us to pick from is 10(0 to 9 has 10 digits). We want to pick the 4 digits code and repetition is allowed. This is a case where we apply permutation with repetition. It is different when repetition is not allowed. It gives more possible outcomes than when repetition is not allowed. We will apply the formula, n^r

Where n is the total number of digits we want to choose from and it is equal to 10

r is the number of digits we can choose and it is equal to 4.

Number of possible 4 digit codes

= 10^4 = 100000

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Review the diagram below.
morpeh [17]

Answer:

the asnwer is 35°

Step-by-step explanation:

you can said bca and its gonna give you that

7 0
3 years ago
Read 2 more answers
Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid.
marta [7]
Amount of purchase that Steve made = $40
Percentage of tax that Steve needs to pay = 10%
Then
Amount of tax that Steve needs to pay for the purchase = (10/100) * 40
                                                                                          = 1 * 4 dollars
                                                                                          = 4 dollars
Then
The total amount including tax
that Steve needs to pay for the purchase = (40 + 4) dollars
                                                                   = 44 dollars
So the dollar amount of tax that Steve had to pay is $4 and the total amount that Steve had to pay was $44.

4 0
3 years ago
Perform the operation and reduce the answer fully. 3/4 + 1/10
Assoli18 [71]

Answer:

17/20

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Which of the following equations is not a linear equation?
salantis [7]

Answer:

D.

Step-by-step explanation:

All other equations have x or y to the power of one so they are linear. D. has x or y to the power of two, so it's not linear. Quadratics and any variable to the power of 2 and above is not linear (numbers on their own are also always linear, so ignore any powers on them)

8 0
2 years ago
a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

0.07x+0.09y=2200

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0
2 years ago
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