Paying Salaries
Your boss tells you to choose how you would like your salary to be paid.
One way is to get paid $48,000 for the year.
In the other you get $10,000 for the first day of work!
After that, however, your salary gets reduced by 20% each day: $10,000, then $8000, $6400, and so on.
Which gives you the most money?
You get $50,000 at the daily rate.
Reducing
the payment by 20%, in other words by multiplying the previous day's
salary by 0.8, approaches a total amount five times the first-day
amount.
Multiplying by 0.1 gives 1.11111 times the first-day amount.
Multiplying by 0.2 gives 1.25 times the first-day amount.
Multiplying by 0.3 gives 1.42857 times the first-day amount.
Multiplying by 0.4 gives 1.66666 times the first-day amount.
Multiplying by 0.5 gives 2 times the first-day amount.
Multiplying by 0.6 gives 2.5 times the first-day amount.
Multiplying by 0.7 gives 3.33333 times the first-day amount.
Multiplying by 0.8 gives 5 times the first-day amount.
Multiplying by 0.9 gives 10 times the first-day amount.