A) probability of sequences can be calculated by multiplying the probability of the first event by the second, etc. until the end of the series. Thirteen cards are clubs in a 52 card deck, so the initial probability of drawing a club is 13/52, or 0.25 (25%). This means that the cumulative probability is 0.25 x 0.25, or 0.0625 (6.25%).
B) Like part a, the initial probability of finding a green marble is 6/16, or 0.375 (37.5%). When not replacing the marble, the second probability is now 5/15, or 0.33 (33.3%), due to the loss of this marble. This means that the cumulative probability is 0.375 x 0.333, or 0.1249 (12.49%).
C) The initial probability of finding a green apple is 4/6, or 0.66 (66.6%). The second probability, when not replacing the apple is now 2/5, or 0.4 (40%) - the loss of the apple affected the total number of apples, but didn’t affect the number of red apples. This means that the cumulative probability is 0.666 x 0.4, or 0.266 (26.6%).
D) Unfortunate, I don’t know what the problem is asking, so I can’t answer this for you.
Just add up all the numbers
Answer:
11.28
Step-by-step explanation:
282×4%=11.28 for sales tax
282+11.28= 293.28 would be total for bike and sales tax
Answer:
(a) The future value after 9 years is $7142.49.
(b) The effective rate is
.
(c) The time to reach $13,000 is 21.88 years.
Step-by-step explanation:
The definition of Continuous Compounding is
If a deposit of
dollars is invested at a rate of interest
compounded continuously for
years, the compound amount is

(a) From the information given



Applying the above formula we get that

The future value after 9 years is $7142.49.
(b) The effective rate is given by

Therefore,

(c) To find the time to reach $13,000, we must solve the equation


Answer:
C. x^5/2 + 6x^3/2 + 1.
Step-by-step explanation:
(x^3 + 6x^2 + x^1/2) / x^1/2
= x^(3 - 1/2) + 6 x(2-1/2) + 1
= x^5/2 + 6x^3/2 + 1.