Answer:
The Probability of strictly increasing or decreasing order is 20/216
Step-by-step explanation:
First Die 1 2 3 4 5 6
Second Die 1 2 3 4 5 6
Third Die 1 2 3 4 5 6
Total number of outcomes= 6*6*6= 216
Possible outcomes of increasing order
1,2,3-----1,2,6 (4)
1,3,4------1,3,6 (3)
1,4,5------1,4,6 (2)
1,5,6 (1)
2,3,4—-2,4,6 (3)
2,4,5—-2,4,6 (2)
2,5,6 (1)
3,4,5—-3,4,6 (2)
3,5,6 (1)
4,5,6 (1)
Total number of possible moves of increasing order= 4+3+2+1+3+2+1+2+1+1= 20
Probability of strictly increasing order is 20/216
Similarly Probability of strictly decreasing order is calculated which is also equal to 20/216
Oh okie so cute lol lol is
Answer:
c
Step-by-step explanation:
because it is to the third power
Answer:um
Step-by-step explanation:
Answer:
A). A(t) = P(1+r/n)^(nt)
B). DA/Dt = np(1+r/n)^(t)
C). A(5) =$ 5664.0
D).t = approximately 13.5 years
Step-by-step explanation:
A(t) = P(1+r/n)^(nt)
P = $5000
n= t
r= 2.5%
After five years t = 5
A(t) = P(1+r/n)^(nt)
A(5) = 5000(1+0.025/5)^(5*5)
A(5) = 5000(1+0.005)^(25)
A(5)= 5000(1.005)^(25)
A(5) = 5000(1.132795575)
A(5) = 5663.977875
A(5) =$ 5664.0
When the balance A= $7000
A(t) = P(1+r/n)^(nt)
7000= 5000(1+0.025/n)^(nt)
But n= t
7000= 5000(1+0.025/t)^(t²)
7000/5000= (1+0.025/t)^(t²)
1.4= (1+0.025/t)^(t²)
Using trial and error
t = approximately 13.5 years