A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

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
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, let's work on Plan A

  2. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    notice that 4000 happen every day whereas 10,000 happen only once

  3. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok

  4. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    so let's denote x for a day

  5. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Plan A 4000x+10,000

  6. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you understand how I got that before we move on to Plan B

  7. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    no

  8. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes I do

  9. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that makes sense

  10. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay, let's move on to Plan B

  11. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    The first day you make .01

  12. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    second day you make .01*(2)=.02 third day you make .01*(2)*(2)=.04

  13. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    So notice for each day we are multiplying by 2

  14. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes it doubles each day

  15. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Does that make sense

  17. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ?

  18. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes that does

  19. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Okay , so you need to add what you make each day for whole month(31 days)

  20. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    .01(2)^0+.01(2)^1+.01(2)^2+........+.01(2)^30 First day second third 31st day

  21. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    make sense?

  22. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yes

  23. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that's fraction

  25. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok, it is a long process by hand

  26. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that's why we use geometric series

  27. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ok which numbers do I enter in

  28. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    .01 * (1-(2)^31)/(1-2)

  29. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    that seems to be quit complicated

  30. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    What is?

  31. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I think I figured out how much the salary would be be in 31 days, $21474836

  32. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you are missing two digit at the end 2147483647

  33. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    $21474836.48

  34. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  35. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  37. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  38. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

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

  39. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    add up each day

  40. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.