Answer:
Step-by-step explanation:
The set {1,2,3,4,5,6} has a total of 6! permutations
a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.
b. The next 120, including the 124th, would begin with '2'
c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1
d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3
e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).
Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).
∴ The 124th number is 213564
Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.
Ten thousands is the answer
Answer:
y - 7 =
(x + 8)
Step-by-step explanation:
Use the slope formula
to work out the slope
Then pick one point to insert into the formula y - y1 = m(x - x1)
Answer:
Step-by-step explanation:
<u>Given</u>
- Each deposit = $1500
- Interest rate= 5%
- Time = 4 years
- Compound number = annual
<u>Simple interest account</u>
- B = 1500*(1 + 4*0.05) = 1500*1.2 = $1800
<u>Compound interest account</u>
- B = 1500*(1 + 0.05)^4 = $1823.26
<u>Total balance</u>
- $1800 + $1823.26 = $3623.26
I would say it represents the volume function evaluated at r=5/7, or
V(5/7)=(4/3)π(5/7)² = 2.13714