Question

You go to work at a company that pays $0.01 for the first day, $0.02 for the second day, $0.04 for the third day, and so on. if the daily wage keeps doubling, what would your total income be (in dollars) for working the following number of days? (round your answers to two decimal places.)

a) 1 day
b) 2 days
c) 3 days
d) None of the above

Answer 1

The total income for working a certain number of days with a doubling daily wage can be calculated using a formula $0.01 x 2^(n-1), where n is the number of days.

Step-by-step explanation:

To calculate your total income for a given number of days, you need to find the sum of the daily wages. Since the daily wage doubles each day, the formula for the daily wage is $0.01 x 2^(n-1), where n is the number of days. Now let's calculate the total income for each scenario:

1. a) 1 day: The daily wage is $0.01, so the total income for 1 day is $0.01.
2. b) 2 days: The first day's wage is $0.01, and the second day's wage is $0.01 x 2 = $0.02. So the total income for 2 days is $0.01 + $0.02 = $0.03.
3. c) 3 days: The first day's wage is $0.01, the second day's wage is $0.01 x 2 = $0.02, and the third day's wage is $0.01 x 2^2 = $0.04. So the total income for 3 days is $0.01 + $0.02 + $0.04 = $0.07.
4. d) None of the above: Since there are no other scenarios mentioned, the answer is none of the above.