Answer: 19 years
Step-by-step explanation:
Given
Amount invested 
Rate of interest 
after 1-year amount becomes

After n years it is

Sum accumulated is 

Simplifying-
(6d^2)(-7d)=
= -(42d^2)(d)
=-42d^3
Answer:
ln(5/3)
Step-by-step explanation:
The desired limit represents the logarithm of an indeterminate form, so L'Hopital's rule could be applied. However, the logarithm can be simplified to a form that is not indeterminate.
<h3>Limit</h3>
We can cancel factors of (x-1), which are what make the expression indeterminate at x=1. Then the limit can be evaluated directly by substituting x=1.

Full price of popcorn: $3.50
Price of popcorn after half the movie: $1.75
price of drinks: $1.35
The question is....."Determine the cost for purchasing 3 orders of popcorn and 3 drinks when the movie is half over."
$1.75*3=$5.25
$1.35*3=$4.05
the price of the 3 orders of popcorn would be $5.25
The price of the 3 orders of drink would be $4.05
5.25 + 4.05 = $9.30
In total the 3 orders of popcorn and 3 orders of drink would cost $9.30
Hope this helps! :)
Answer:
20 seconds
Step-by-step explanation:
i think this is right