Step-by-step explanation:
let the ration be c
3x and 4x
Now
3x +4x=24
Answer:
a. 205320
b. 34220
c. 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!
Step-by-step explanation:
a) The number of ways to dustribute exams among the TA's is:
n / (n - r)!
n= number of things to choose from
r= Choosing r number
60P3= 60! / (60 - 3)!
(60)(59)(58)(57)! / (57)!
=205320
B) The number of ways to dustribute the exams among the TA's is:
n! /(n - r)! r!
60C3= 60! /(60 - 3)! 3!
= 60!/ 57! 3!
= 60 × 59 × 58 / 3 × 2 × 1
= 34220
C) The required number of ways is:
60C25 + 60C20 + 60C15
= 60! / (35)! (25)! + 60!/ (40)!(20)! + 60!/ (45)! (15)!
The formula is
A (n) = 700 • (1 + 0.03)^(n – 1)
Where n is 5 years
A (5) = 700 • (1 + 0.03)^(5 – 1)
A (5) = 700 • (1 + 0.03)^(4)
So the account balance at the beginning of 5 years or at the end of 4 years is
A (5)=700×(1+0.03)^(4)
A (5)=787.8
The answer is D
Hope it helps!
The correct answer is: c) 46 and 87
Further explanation:
Let us define relatively prime numbers first:
"Relatively prime numbers are those numbers whose greatest common factor is 1"
So,
a) 20 and 76
The GCF is 4 so the pair is not relatively prime.
b) 25 and 65
The GCf is 5 so the pair is not relatively prime.
c) 46 and 87
GCF is 1 so the pair is relatively prime.
d) 63 and 117
GCF is 9 so the pair is not relatively prime.
Hence, option C is correct
Keywords: Prime numbers, Relative prime numbers, Coprime numbers
Learn more about relative prime numbers at:
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