Answer:
720
Step-by-step explanation:
Since we are choosing a subset of 3 people from a set of 10 people, and arranging the 3 people according to relative strength, the answer can be obtained by computing P(10,3).
P(10,3)=10! / (10-3)!
= 10!/7!
Rewrite 10
! as
10 * 9 * 8 * 7
! / 7!
Cancel the common factor of 7
! and divide (
10 * 9 * 8
) by 1
10 * 9 * 8 = 720
Take your original equation
and multiply both sides by to remove the fractions. You are left with
So,
Update: There is no numerical answer that can be found without being given a value for either x or y
Answer:
_________________
<u>Remove the parentheses:</u>
<u>Combine like terms:</u>
<u>Multiply 3 and 5x = 15x:-</u>
<u>Combine like terms:</u>
<u>Expand: 3x-(2x-1)= x+1</u>
<u>Subtract 1 from both sides:</u>
<u>Add 9x to both sides:</u>
<u>Divide both sides by 10:</u>
<u>________________________________</u>
Answer:
The approximate monthly rate of growth is 1.24%
Step-by-step explanation:
we have the future value formula
we have
----> annual interest rate
so
Find the approximate monthly rate of growth
Remember that
so
Divide the number of periods t by 12
Applying power rules property
Convert to percentage
therefore
The approximate monthly rate of growth is 1.24%