The Soccer ball has measurable volume
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 =
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 = ![936 \times\left[ \frac{1 - 1.04^{-7}}{ 0.04} \right]](https://tex.z-dn.net/?f=936%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1%20-%201.04%5E%7B-7%7D%7D%7B%200.04%7D%20%5Cright%5D)
Present Value = ![936 \times\left[ \frac{1 - 0.759918}{ 0.04} \right]](https://tex.z-dn.net/?f=936%20%5Ctimes%5Cleft%5B%20%5Cfrac%7B1%20-%200.759918%7D%7B%200.04%7D%20%5Cright%5D)
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:
The probability is 1/8
Step-by-step explanation:
In this question, we are tasked with calculating that if a coin is flipped three times, we have the outcome in the question; THH
Now before we go on to calculate this probability, we need to understand some technicalities. Flipping a coin can only result into two outcomes as there are only two sides of a coin. These are the head and the tail. What this means is that if a coin is flipped, we should only expect landing on the head and on the tail.
Now these opposite sides have equal probability. This means the probability of landing on the head = probability of landing on the tail. These probabilities are equal as they are the only two options we have. Hence, the probabilities are 1/2 each
Hence, P(H) = P(T) = 1/2
Now, we proceed to calculating the probability of HTT
this mathematically means P(H) * P(T) * P(T) = 1/2 * 1/2 * 1/2 = 1/8
36 donuts (2 1/2 dozen) = $8.00
So, you divide 8 by 36 and you get about 22¢ for each donut. Then, you do .22 x 12 which equals $2.64.
One dozen donuts = $2.64
