Answer:
i) There are 40320 possible orders
ii) There are 336 possible orders for the first 3 positions.
Step-by-step explanation:
Given: The number of finalists = 8
The number of boys = 3
The number of girls = 5
To find the number of sample point the sample space S for the number of possible orders, we need to find factorial of 8!
The number of possible orders = 8!
= 1 x 2 x 3 x 4 x 5 x 6 x 7 x 8
= 40320
ii) From all 8 finalist, we need to choose first 3 position. Here the order is important. So we use permutation.
nPr =
Here n = 8 and r = 3
Plug in n =8 and r = 3 in the above formula, we get
8P3 = 
= 
= 6.7.8
= 336
So there are 336 possible orders for the first 3 positions.
Answer:
8 months
Step-by-step explanation:
Given that:
Amount of money present in the bank account = $2,571.68
Automatic monthly rental payments for car loan = $321.46
Any deposits in the bank account are stopped.
To find:
The number of months taken so that the automatic payments make the value of the account as zero?
Solution:
Let the number of months taken to make the value of the account zero = 
months
To find the value of , we need to divide the total amount initially present in bank account with the monthly rental payment amount.
Therefore, the equation to find the value of , can be written as:
On solving the above equation, we get the value as following:
months
List the hours from 1 to 8
Multiply the hours by how much she is paid per hour ( $12)
X: 1, 2, 3, 4, 5, 6, 7, 8
y: 12, 24, 36, 48, 60, 72, 84, 96
Area = (# of sides * side length^2) / [4 * tan (180/n)]
area = (8 * x^2) / 4 * tan (22.5)
area = 8 x^2 / (4 * 0.41421)
area = 8 x^2 /
<span>
<span>
<span>
1.65684
</span>
</span>
</span>
area = 4.828 x^2
So, it seems the correct answer is the first one.
Answer:
0.40404040.
Step-by-step explanation:
