9514 1404 393
Answer:
- annually: 9.01 years
- monthly: 8.69 years
- daily: 8.67 years
- continuously: 8.66 years
Step-by-step explanation:
For interest compounded in discrete intervals, the formula is ...
A = P(1 +r/n)^(nt)
We want to find t for P=1 and A=2, so we have ...
2 = (1 +r/n)^(nt)
ln(2) = nt·ln(1+r/n)
t = ln(2)/(n·ln(1+r/n))
A table of values for r=0.08 is attached.
__
For continuous compounding, the formula is ...
A = Pe^(rt)
t = ln(A/P)/r = ln(2)/0.08 ≈ 8.66434 . . . . years
__
- annually: 9.01 years
- monthly: 8.69 years
- daily: 8.67 years
- continuously: 8.66 years
The <u>correct answer</u> is:
A) The medians are both between 10 and 14 emails.
Explanation:
The <u>mode </u>is the easiest measure to find of a data set.
The <u>mode </u>of a data set is the data value that appears the most often. In plot A, there are 3 dots at 10 and 3 dots at 15; this means the modes are 10 and 15.
In plot B, there are 3 dots at 5 and 3 dots at 15; this means the modes are 5 and 15.
They <u>do not have the same modes</u>.
The <u>median </u>of a data set is the middle value. There are 10 dots in each dot plot; this means the medians will each be between two data points.
For plot A, we can see that the middle value is between 10 and 15.
For plot B, we can see that the middle value is between 10 and 15.
This means that choice A is correct, the medians of both are between 10 and 14.
If we convert the given in its mathematical form, we have,
(30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².
((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)
Cancellation of the common terms will give us an answer of,
<em>5x²/2y³
</em><em />Therefore, the simplified version of the involved operation is 5x²/2y³. <em>
</em>
Answer:
3. rolling a sum of 20 with two standard dice
Step-by-step explanation:
If something has a probability of 0 then there is no chance of it happening
A standard die goes up to 6. The max sum you can get by rolling two dice would be 12 as 6 + 6 = 12. So you have no chance of rolling a sum of 20 with two standard dice therefore the probability would be 0.
Answer:
0.33
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