The rule of 72 will have you divide 72 over the interest rate in percent form. Ignore the percent symbol
So we'll divide 72 over 8.47 to get...
72/8.47 = 8.50059
which is roughly 8.5 years for the money to double
If we round to the nearest whole number, then it takes 9 years for the money to double (according to the rule of 72). The year 1999 isn't listed so the next best choice is the year 2000. So I'm fairly confident the answer is C) 2000. Though your teacher may have 1998 in mind for some reason. If it were me, I'd go with 2000 because the year 1998 will have the account balance short of the goal of $10,000.
Answer: Choice C) 2000
Answer:
Step-by-step explanation:
The answer is:
x=1
y=7
Answer:
A, the first option, 49 square cm
Step-by-step explanation:
[] To know
-> A squares sides are all the same size
-> The area of a square can be found by finding L * W
[] Solving
-> We can use the points given to solve for one side, EF, of the square
-> Both the x coordinates are the same, so we can subtract the y values as they are on the same line.
6 - -1 = 6 + 1 = 7
-> Now for the area
7 * 7 = 49 square cm
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
<u></u>
- <u>a) P(X=1) = 0.302526</u>
- <u>b) P(X=5) = 0.010206</u>
- <u>c) P(X=3) = 0.18522</u>
- <u>d) P(X≤3) = 0.92953</u>
- <u>e) P(X≥5) = 0.010935</u>
- <u>f) P(X≤4) = 0.989065</u>
Explanation:
Binomial experiments are modeled by the formula:
Where
- P(X=x) is the probability of exactly x successes
- p is the probability of one success, which must be the same for every trial, and every trial must be independent of other trial.
- n is the number of trials
- 1 - p is the probability of fail
- there are only two possible outcomes for each trial: success or fail.
<u>a.) P (x=1)</u>
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<u>b.) P (x=5)</u>
<u>c.) P (x=3)</u>
Using the same formula:
<u>d.) P (x less than or equal to 3)</u>
- P(X≤3)= P(X=3) + P(X=2) + P(X=1) + P(X=0)
Also,
- P(X≤3) = 1 - P(X≥4) = 1 - P(X=4) - P(X=5) - P(X=6)
You can use either of those approaches. The result is the same.
Using the second one:
- P(X=4) = 0.059335
- P(X=5) = 0.010206
- P(X=6) = 0.000729
- P(X≤3) = 1 - 0.05935 - 0.010206 - 0.000729 = 0.92953
<u>e.) P(x greather than or equal to 5)</u>
- P(X≥5) = 0.010206 + 0.000729 = 0.010935
<u>f.) P(x less than or equal 4)</u>
- P(X≤4) = 1 - P(X≥5) = 1 - P(X=5) - P(X=6)
- P(X≤4) = 1 - 0.010206 - 0.000729 = 0.989065