A sum of money is invested at 12% compounded quarterly. About how long will it take for the amount of money to double?
Compound interest formula: V(t)=P(1+r/n)nt
t = years since initial deposit
n = number of times compounded per year
r= annual interest rate (as a decimal)
p = initial (principal) investment
V(t)= value of investment after t years

5.9 years
6.1 years
23.4 years
24.5 years

Hello i need some with trigonometric substitutions. [tex]\int\limits^a_b {x} \, dx[/tex]

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below: