Answer:
5.65%
Step-by-step explanation:
Principal=$600
Time=20 years
FV=600*3=$1800
n=1
r=?
r= n[(A/P)^1/nt - 1]
=1{(1800/600)^ 1/1*20 - 1}
={(3)^1/20-1}
=3^0.05-1
=1.0565-1
=0.0565
rate=0.0565*100
=5.65% to the nearest hundredth percent
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)!
Answer:
(f о g)(0) = 24
Step-by-step explanation:
f(x) = -5x - 1
g(x) = x² - 5
When you see (f о g)(#), they want you to plug the function g(x) into the function f(x).
First find g(0).
g(0) = (0)² - 5
g(0) = 0 - 5
g(0) = -5
Now plug g(0) = -5 into f(x) by replacing all x's with -5.
(f о g)(0) = -5(-5) - 1
Multiply.
(f о g)(0) = 25 - 1
Subtract.
(f о g)(0) = 24
Answer:
34 6/25
Step-by-step explanation:
A mixed number is a whole number in front of a fraction. Keep 34 as the whole number. .24 is really 24/100, but you can simplify it to 6/25.
