## anonymous 5 years ago I m having a hard time with this question. I cant figure out what the function would be for Plan A or Plan B You get hired for a new job that will only last for one month (31 days, you work 7 days a week) and you are offered the two following payment plans to choose from: • Plan A: $4,000 per day for the whole month with a$10,000 signing bonus. • Plan B: $0.01 for day 1$0.02 for day 2 $0.04 for day 3$0.08 for day 4 $0.16 for day 5 ….and so on every day is double the previous days salary, with no signing bonus. Create two functions that model each of these payment plans, wher • This Question is Closed 1. anonymous Okay, let's work on Plan A 2. anonymous notice that 4000 happen every day whereas 10,000 happen only once 3. anonymous ok 4. anonymous so let's denote x for a day 5. anonymous Plan A 4000x+10,000 6. anonymous Do you understand how I got that before we move on to Plan B 7. anonymous no 8. anonymous yes I do 9. anonymous that makes sense 10. anonymous Okay, let's move on to Plan B 11. anonymous The first day you make .01 12. anonymous second day you make .01*(2)=.02 third day you make .01*(2)*(2)=.04 13. anonymous So notice for each day we are multiplying by 2 14. anonymous yes it doubles each day 15. anonymous second day you make .01*(2)=.02 third day you make .01*(2)*(2)= .01*(2)^2=.04 fourth day you make .01(2)*2*2=.01*(2)^3=.08 16. anonymous Does that make sense 17. anonymous ? 18. anonymous yes that does 19. anonymous Okay , so you need to add what you make each day for whole month(31 days) 20. anonymous .01(2)^0+.01(2)^1+.01(2)^2+........+.01(2)^30 First day second third 31st day 21. anonymous make sense? 22. anonymous yes 23. anonymous You can add up all the term by hand, but it is very tedious. We can instead use a formula called Sum of Geometric Series Our terms- .01(2^0+2^1+......+2^30) r-2 n-30 Geometric Series Sum= $[1-r^{n+1}]\over(1-r)$ 24. anonymous that's fraction 25. anonymous ok, it is a long process by hand 26. anonymous that's why we use geometric series 27. anonymous ok which numbers do I enter in 28. anonymous .01 * (1-(2)^31)/(1-2) 29. anonymous that seems to be quit complicated 30. anonymous What is? 31. anonymous I think I figured out how much the salary would be be in 31 days,$21474836

32. anonymous

you are missing two digit at the end 2147483647

33. anonymous

\$21474836.48

34. anonymous

* sorry, you are right, can't see the period

35. anonymous

ok what is the function for plan B and here is more information for this question (Plan A’s function, , will represent what you earn total over the whole 31 days, Plan B’s function, , will represent what you earn each individual day.)

36. anonymous

Plan B function for each individual day =nth day= .01*(2)^(n-1)

37. anonymous

Plan A's function A(t) and PLan B's function B(t),

38. anonymous

ok so my question is how would i figure out the salary using that equation for plan B

39. anonymous