How do you subtract 3/4-3/8 using simplest form
1 answer:
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The formula we use for continuous compounding is 
where P is the initial amount invested, r is the rate as a decimal, and t is time in years. Our P = 1300, our r = .042, and our t = 5.75 (9 months is 3/4 of a year, and 3/4 in a decimal is .75). Putting all that into our formula we have 
. We have to multiply those 2 powers together and then raise euler's number to it, then multiply by 1300. Doing all of that, we get the amount at the end to be $1,655.10
Answer:
The probability that he ends up with a full house is 0.0083.
Step-by-step explanation:
We are given that a gambler has been dealt five cards—two aces, one king, one 3, and one 6. He discards the 3 and the 6 and is dealt two more cards.
We have to find the probability that he ends up with a full house (3 cards of one kind, 2 cards of another kind).
We know that gambler will end up with a full house in two different ways (knowing that he has given two more cards);
- If he is given with two kings.
- If he is given one king and one ace.
Only in these two situations, he will end up with a full house.
Now, there are three kings and two aces left which means at the time of drawing cards from the deck, the available cards will be 47.
So, the ways in which we can draw two kings from available three kings is given by = {∵ one king is already there}
= {∵
}
= = 0.0028
Similarly, the ways in which one king and one ace can be drawn from available 3 kings and 2 aces is given by =
=
= = 0.0055
Now, probability that he ends up with a full house =
= = <u>0.0083</u>.