Y = t*e^(-t/2)
y' = t' [e^(-t/2)] + t [e^(-t/2)]' = e^(-t/2) + t[e^(-t/2)][-1/2]=
y' = [e^(-t/2)] [1 - t/2] = (1/2)[e^(-t/2)] [2 - t] = - (1/2) [e^-t/2)] [t -2]
Answer:
<u>If we remove 61 from the data set, the median changes from 87.5 to 93.</u>
Step-by-step explanation:
1. Let's calculate the median of the original data set:
Median = (3rd term + 4th term)/2 because the number of terms are even and our median mark is the average of the two middle marks, in this case, 82 and 93.
Median = (82 + 93)/2
Median = 87.5
2. Let's calculate the median of the data set removing 61:
Median = 3rd term because our median mark is the middle mark, in this case, 93. It is the middle mark because there are 2 scores before it (80 and 82) and 2 scores (94 and 98) after it.
Median = 93
The two #'s are 156 and 4.
When you multiply 156*4=624.
When you add them together 156+4=160
You can also check you're work using a calculator.
1. it suggests the article could be about the tale of a lost ship, how it became lost, or how it is doing now.
2. could you please provide a picture
3.again, we cannot see a picture
4. we cannot see if the article has a map
9514 1404 393
Answer:
a) $215,892.50
c) $220,803.97
e) $222,534.58
f) $222.554.09
Step-by-step explanation:
The compound interest formula is ...
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r for t years, compounded n times per year. In this problem, you have P=100,000, r=0.08, t=10, and the only variable of interest is n.
When calculations are repeated, it is often convenient to let a calculator or spreadsheet do them. You only need to program the formula once, then use it for the different values of the variable of interest. Most spreadsheets have this formula built in, so you don't even need to program it.
__
For continuous compounding, the formula is ...
FV = Pe^(rt)
FV = 100,000e^(0.08·10) = 222,554.09
