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)...
Solving the inequality for the number of boxes Michelle can take into the elevator:
so the solution set is x<=52 with a closed circle on 52.
The following are the applicable choices from your list (all at the same true):
"There is a closed circle on 52"
"The solution set contains the point 51"
"The arrow points to the left"
Answer:
Step-by-step explanation:
Using Power rule
Answer:
m = 1.25d
Step-by-step explanation:
A train is traveling at a constant speed and goes a distance of 7 ½ kilometers or 7.5 km in 6 minutes.
6 min = 7.5 km
1 min = (7.5/6) km/min
= 1.25 km/min
or
In m min, (7.5/6)d is travelled by the train. Hence, the relation between d and is :
Hence, this is the required solution.