The first selection can be any one of the 8.
For each one ...
The second selection can be any one of the remaining 7.
For each one ...
The third selection can be any one of the remaining 6.
For each one ...
The fourth selection can be any one of the remaining 5.
Total number of ways to select four = (8 x 7 x 6 x 5) = 1,680 ways
BUT ... There are not 1,680 different groups of 4 .
Each group of 4 can be selected in (4 x 3 x 2) = 24 different ways.
So, although there are 1,680 different ways to select 4 singers,
there are only
(1,680 / 24) = 70 different groups of 4
that you can end up with.
Answer:
$920
Step-by-step explanation:
The amounts added are the arithmetic sequence ...
1, 2, 3, ... 40
The average term of this sequence is (1 +40)/2 = 20.5. The sum of the terms of this sequence is the number of terms (40) multiplied by the average term (20.5). That product is ...
40·20.5 = 820
Chu-Li will have added $820 to her bank in 40 weeks, so the total there is ...
$100 +820 = $920 . . . amount Chu-Li will have 40 weeks from now
Answer: 5%
Step-by-step explanation:
Given that:
Ticket price of jacket = $199
Final price after addition of sales tax = $208.95
Percentage sales tax on the jacket =?
Final price after addition of sales tax = price of jacket + amount of sales tax paid
208.95 = 199 + amount of sales tax paid
amount of sales tax paid = 208.95 - 199
amount of sales tax paid = $9.95
Let Percentage of sales tax = x
(x / 100) * 199 = 9.95
199x / 100 = 9.95
199x = 995
x = 5
Hence percent sales tax paid = 5%
2x - 5x + 4 = 0
- 3x = - 4
x = 4/3
Hello!
**Process pictured below**
When dividing, find how many times the first time in the divisor (2x + 3) fits into the first time of the dividend (2x³ + 5x² - 3x - 5). In this step, it fits x² times.
Multiply x² by the terms in the divisor and subtract from the dividend. Bring down the next term in the dividend to continue the process.
Repeat this step until you reach the last number. In this case, there was a remainder of 4. In order to write the remainder, you must express it over the divisor which makes it 4 / 2x + 3.
