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Sholpan [36]
3 years ago
11

Suppose we want to choose 6 letters, without replacement, from 15 distinct letters. (A) how many ways can this be done, if the o

rder of choices is not taken into consideration? (B) How many ways can this be done, if the order of choices is taken into consideration?
Mathematics
1 answer:
Olenka [21]3 years ago
7 0

Answer:

Below in bold.

Step-by-step explanation:

A.This is the number of combinations of 6 from 15

= 15C6

=  15! / (15-6)! 6!

= 5,005 ways.

B.  This is the number of permutaions of 6 from 15:

= 15! / (15-6)!

= 3,603,600 ways.

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On January 1, Year 1, Scott Company purchased a new machine for $220,000. The machine is expected to have an eight-year life and
dlinn [17]

Answer:

<u>1. Annual straight-line depreciation = 25000</u>

<u>2. Machine's book value at the end of Year 2 = 170000</u>

<u>3. Gain on the sale of the machine = 10000</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

Price of the new machine purchased by Scott Company = 220,000

Expected life of the machine = 8 years

Salvage value = 20,000

Price of sale of the machine after 2 years of usage = 180,000

2.  Calculate the annual straight-line depreciation on the machine.

Annual depreciation = (Price of purchase of the new machine - Salvage value)/Expected life of the machine

Replacing with the real values, we have:

Annual depreciation = (220,000 - 20,000)/8

Annual depreciation = 200,000/8

<u>Annual straight-line depreciation = 25000</u>

3. What is the machine's book value at the end of Year 2 after the annual depreciation has been recorded?

Machine's book value at the end of Year 2 = Price of the new machine purchased by Scott Company - 2 * Annual straight-line depreciation

Replacing with the real values, we have:

Machine's book value at the end of Year 2 = 220,000 - 2 * 25,000

Machine's book value at the end of Year 2 = 220,000 - 50,000

<u>Machine's book value at the end of Year 2 = 170000</u>

4. Calculate the gain or loss on the sale of the machine.

Gain or loss on the sale of the machine = Price of sale of the machine after 2 years of usage - Machine's book value at the end of Year 2

Replacing with the real values, we have:

Gain or loss on the sale of the machine = 180,000 - 170,000

<u>Gain on the sale of the machine = 10000</u>

8 0
3 years ago
What is the slope of the line passes through the points (5,-4) and (7,-4)
Anarel [89]

5 - (-4) = 9

(-4) - 7 = -11

So, the slope of this line is 9/-11.

3 0
3 years ago
Read 2 more answers
Jim has 48 sweets he wants to give one-third of them to his friend bob
Grace [21]

Answer:

16

Step-by-step explanation:

One third of 48 = 48 ÷ 3 = 16

4 0
3 years ago
Name two 2 digit factors whose product is greater than 200 but less than 600
Alexxandr [17]
10 and 21, 10*21=210 
3 0
3 years ago
Read 2 more answers
There are red and blue balls in a bag. The number of blue balls is 27 and the red balls are 4/ 7 of all balls. What is the total
aliina [53]
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ We know this:

3/7 = 27

You need to find the value of 1/7

To do this, divide by 3

27/3 = 9

1/7 = 9

Multiply this by 7 to get the total number of balls:

9 x 7 = 63

There are 63 balls.

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

7 0
3 years ago
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