Answer:
P = 1/216
the probability that you would roll 3 sixes is 1/216
Step-by-step explanation:
For a given dice, there are six possibilities.
We have;
1,2,3,4,5,6
The probability of rolling a six(6) is;
P(6) = 1/6
Then, the probability of rolling 3 sixes is a multiple of the P(6), given as;
P = P(6) × P(6) × P(6)
P = 1/6 × 1/6 × 1/6
P = 1/216
the probability that you would roll 3 sixes is 1/216
Answer:
Amount he must have in his account today is $5,617.92
Step-by-step explanation:
Data provided in the question:
Regular withdraw amount = $900
Average annual interest rate, i = 4% = 0.04
Time, n = 7 years
Now,
Present Value = ![C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)](https://tex.z-dn.net/?f=C%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1-%281%2Bi%29%5E%7B-n%7D%7D%7Bi%7D%20%5Cright%5D%20%5Ctimes%281%20%2B%20i%29)
here,
C = Regular withdraw amount
Thus,
Present Value = ![C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)](https://tex.z-dn.net/?f=C%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1-%281%2Bi%29%5E%7B-n%7D%7D%7Bi%7D%20%5Cright%5D%20%5Ctimes%281%20%2B%20i%29)
Present Value = ![900 \times\left[ \frac{1-(1+0.04)^{-7}}{ 0.04 } \right] \times(1 + 0.04)](https://tex.z-dn.net/?f=900%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1-%281%2B0.04%29%5E%7B-7%7D%7D%7B%200.04%20%7D%20%5Cright%5D%20%5Ctimes%281%20%2B%200.04%29)
Present Value =
Present Value =
Present Value = 936 × 6.00205
or
Present Value = $5,617.92
Hence,
Amount he must have in his account today is $5,617.92
Answer:
Find the area of each room and add the areas
Step-by-step explanation:
Please find the full question in the attached image
the area of rectangle is length x breadth. The area of each room would be found and the three areas would be added together
for example ,
dimension of room 1 = 5 x 3
dimension of room 2 = 2 x 3
dimension of room 3 = 4 x 5
area of room 1 = 15
area of room 2 = 6
area of room 3 = 20
total area = 15 + 6 + 20 = 41
Google “slope calculator” on google
Use calculator soup.
Answer:
4
Step-by-step explanation: