Your formula is missing the exponent sign "^", it should read: P(1+r)^n. Re: what changes would increase your return? - the compounding period (continuous compounding is higher than annual compounding), the higher "r" is the higher the return. The higher P is the higher the return - the beauty of compounding interest...interest paid on interest earned (already paid).
Example: Formula for annually compounded interest at 4%:
$50(1.04)^5 = $60.83
vs. if you invested all of the $100 now...
$100(1.04)^5 = $121.67
you have invested only $50 more, but you receive...
interest on the $50 = (60.83 - 50) = 10.83
interest on the $100 = (121.67 - 100) = 21.67
if you wait to invest the additional $50 you will lose the opportunity to receive interest on it, and interest on the interest paid each year during the 5 year period.
Above example with continuous compounding: Formula: P(e)^(r*t) where r= rate (here I use 4%) and t = time...."e" is a constant for continuous compounding, roughly equivalent to: 2.71828
$50(e)^(0.04*5) = $50(1.2214) = 61.07
$100(e)^(0.04*5) = $100(1.2214) = $122.14
you can see that with continuous compounding (vs. annual compounding) you earn more interest because interest is compounded more frequently (and that interest earns interest)...
B. It is the same as the original median.
<u>Step-by-step explanation</u>:
- The original set of data contain 7 items.
- Median term for odd number of set = (no. of items+1) / 2
Median term = (7+1) / 2 = 8/2 = 4.
The median of the original set is 4th term of the 7 items.
- The new set has 11 items in which 2 items are added in the beginning and 2 items are added in the end of the original set.
- Now, the 4th term of the original set becomes the 6th term of the new set.
Median term of new set = (11+1)/2 = 12/2 = 6.
The median of the new set is 6th term of the 11 items.
- The 4th term of original set and 6th term of new set are same.
- So, the median remains the same.
The next number is 31
There is a pattern
3+1=4
4+2=6
6+3=9
9+4=13
13+5=18
18+6=24
24+7=31
You just add the total you got by the next number up.
Hope this helps
If you are going from a larger unit to a smaller unit, you multiply. If you are going from a smaller unit, you divide
Answer:
16/19
Step-by-step explanation:
![\frac{1}{-38} =\frac{x}{-32}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B-38%7D%20%3D%5Cfrac%7Bx%7D%7B-32%7D)
x = 1 / -38 × -32
x = 16 / 19 or 0.8421052632
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