The <u>correct answer</u> is:

The check has not been cashed yet.

Explanation:

When you receive your bank statements, all of the transactions that have been processed are listed. This includes deposits, debits and checks.

All transactions are usually listed in order of the date of transaction. Additionally, the checks are usually listed at the bottom of the statement.

If there is a gap between check numbers that you have written, it means that the missing checks have not been processed. This means that they have not been cashed or deposited.

6 0

3 years ago

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HELP PLEASE!!! I need help with 94 if you could show the steps that would be very helpful!

aksik [14]

A combination is an unordered arrangement of r distinct objects in a set of n objects. To find the number of permutations, we use the following equation:

n!/((n-r)!r!)

In this case, there could be 0, 1, 2, 3, 4, or all 5 cards discarded. There is only one possible combination each for 0 or 5 cards being discarded (either none of them or all of them). We will be the above equation to find the number of combination s for 1, 2, 3, and 4 discarded cards.

5!/((5-1)!1!) = 5!/(4!*1!) = (5*4*3*2*1)/(4*3*2*1*1) = 5

5!/((5-2)!2!) = 5!/(3!2!) = (5*4*3*2*1)/(3*2*1*2*1) = 10

5!/((5-3)!3!) = 5!/(2!3!) = (5*4*3*2*1)/(2*1*3*2*1) = 10

5!/((5-4)!4!) = 5!/(1!4!) = (5*4*3*2*1)/(1*4*3*2*1) = 5

Notice that discarding 1 or discarding 4 have the same number of combinations, as do discarding 2 or 3. This is being they are inverses of each other. That is, if we discard 2 cards there will be 3 left, or if we discard 3 there will be 2 left.

Now we add together the combinations

1 + 5 + 10 + 10 + 5 + 1 = 32 choices combinations to discard.

The answer is 32.

-------------------------------

Note: There is also an equation for permutations which is:

n!/(n-r)!

Notice it is very similar to combinations. The only difference is that a permutation is an ORDERED arrangement while a combination is UNORDERED.

We used combinations rather than permutations because the order of the cards does not matter in this case. For example, we could discard the ace of spades followed by the jack of diamonds, or we could discard the jack or diamonds followed by the ace of spades. These two instances are the same combination of cards but a different permutation. We do not care about the order.

I hope this helps! If you have any questions, let me know :)

7 0

3 years ago

Fiona’s Number:

Amanda [17]

Answer:

He should dial 289-743-1560

Step-by-step explanation:

The first three digits: "My first three digits are the square of an integer less than twenty"

Step 1: We can get the first three by looking at the squares of the integers from 1 to 19. We need a three digit number, so starting with 10, since 10² = 100, we list the squares of the integers from 10 to 19

10² = 100

11² = 121

12² = 144

13² = 169

14² = 196

15² = 225

16² = 256

17² = 289

18² = 324

19² = 361

Step 2: "The first three digits are in ascending order" and no digits can repeat, so we eliminate the answers above that don't satisfy both of these condintions. This leaves just 3 choices:

13² = 169

16² = 256

17² = 289

*We will come back to this once we have more information.

The last 2 numbers: "the last two digits are multiples of sixty".

The only 2 digit number that is a multiple of 60 is 60, so 6 and 0 are the last 2 digits. This rules out two answers from Step 1 since no digits can repeat. Only 289 works since 169 and 256 each have a 6 in them. So now we know the first 3, and last 2 numbers!

2 8 9 _ _ _ _ _ 6 0

The last 4 numbers: "the last 4 digits are multiples of sixty"

We want to find a 4 four digit number that has 60 as the last 2 digits. Notice a pattern when you multiply 60 by certain digits...

60 x 1 = 60

60 x 2 = 120

...

60 x 6 = 360

60 x 11 = 660

60 x 16 = 960 (these all don't work since they are not 4 digits)

60 x 21 = 1260 (this is the first 4 digit result, but it doesn't work because

there is a '2' in it, and 2 has already been used as the

first digit of the number)

60 x 26 = 1560 (this number could work, so lets try it and see if we can

satisfy the rest of the statements)

Now our number is

2 8 9 _ _ _ 1 5 6 0

The second three digits: "The second three digits are in descending order" and "The sum of the second three digits is 14"

If we assume that 1, 5, 6 and 0 are the last four digits, we know that 2, 8 and 9 are the first three digits, this leaves 3, 4 and 7 as the three remaining digits.

3 + 4 + 7 = 14 so that condition is satisfied. We just need to write then in descending order, so our final number is

289-743-1560

3 0

3 years ago

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