SOLUTION: During your summer vacation, you are offered a job at which you can work as many days as you choose. If you work 1 day, you will be paid $0,01. If you work 2 days you will be paid

Algebra ->  Expressions-with-variables -> SOLUTION: During your summer vacation, you are offered a job at which you can work as many days as you choose. If you work 1 day, you will be paid $0,01. If you work 2 days you will be paid       Log On


   

Question 185920This question is from textbook Integrated Algebra I
: During your summer vacation, you are offered a job at which you can work as many days as you choose. If you work 1 day, you will be paid $0,01. If you work 2 days you will be paid a total of $0.02. If you work 3 days you will be paid a total of $0.04. If you continue to work, your total pay will continue to double each day.
a) Would you accept this job if you planned to work 10 days? Explain why or why not.

b) Would you accept this job if you planned to work 25 days? Explain why or why not.


I know the answer to a is no, because you would only make $5.12 and
the answer to b is yes because you would make $167,772.16

what I don't know is how to get those amounts without entering it individually into the calculator for each day.

I think the formula should be A = P (1 + r)ⁿ
This question is from textbook Integrated Algebra I

Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
for 1 day ___ 2^0
for 2 days ___ 2^1
for 3 days ___ 2^2
etc.

the pattern is: pay (in cents) equals 2 to the n-1 power (where n equals days worked)

pay=2^(n-1)