Explanation:
An arithmetic sequence has a common difference, meaning you use addition or subtraction to get from term to term, and each term in the sequence is an equal distance apart.
A geometric sequence has a common ratio, meaning that you use multiplication or division to get from term to term.
If you look at this sequence:
14-2 = 12
12-2 = 10
10-2 = 8
8 -2 = 4
etc.
Because you are subtracting 2 each time, 2 is the common difference, and the sequence is arithmetic.
Answer:
10^-5
10^-5 = 1/100,000
Step-by-step explanation:
Answer:
See below for answers and explanations
Step-by-step explanation:
<u>Problem 1:</u>
A standard deck of cards contains 52 cards, consisting of 13 spades. If you select only one randomly, the probability of that occurring would be 13/52 or 1/4. Since there are only 26 red cards in a standard deck, then the probability of selecting a red card would be 26/52 or 1/2. Because the two events are independent of each other, their probabilities are multiplied. Therefore, the probability of selecting a spade, and then replacing it in hopes of drawing a red card is (1/2)(1/4) = 1/8.
<u>Problem 2:</u>
We are selecting a spade and then another spade while NOT replacing the first spade (remember that these events are independent of each other also). This means that the total card count will change by picking up the second card. Therefore, the probability of selecting a spade, followed by another spade, is (13/52)(12/51) = 156/2652 = 1/17.
Answer:
$13,695.98
Step-by-step explanation:
We can use the continuous compound interest formula to solve:
<em>P = principal amount</em>
<em>r = interest rate (decimal)</em>
<em>t = time (years)</em>
<em />
First, lets change 8% into a decimal:
8% -> 
-> 0.08
Now, lets plug in the values:
The account balance after 10 years will be $13,695.98
Answer:
B I hope this helped!
Step-by-step explanation:
