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Math Help - Finite and Infinite arithmetic/geometric sequences help

  1. #1
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    Finite and Infinite arithmetic/geometric sequences help

    hey guys i just recieve a take home test from my math teacher the other day, and i've got all of the test done except for these 2 story problems, can you guys please help?


    1. Lisle Washington has two job offers. The starting salary for both jobs is $10,000 for 6 months', or $20,000 per year. In the first job, Lisle would get a raise of $500 (in his salary for 6 months) at the end of every 6 months. In the seconds job, he would get a raise of $1,500 (in his yearly salary) at the end of every eayr. Calculate his total earnings after 5 years on each job. Which job pays more for the 5 years?




    and



    2. A roll of paper used in the production of books contains the equivalent of 3750 concentric cylinders of paper. The smallest cylinder (wound on a cor) has a diamete of 3 in. and each successive cylinder is 0.004 in. larger in diamter than the preceding one. What is the total length of paper on such a roll?




    help would be greatly appreciated, thank you :]
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  2. #2
    Bar0n janvdl's Avatar
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    Quote Originally Posted by Jnoobs View Post
    hey guys i just recieve a take home test from my math teacher the other day, and i've got all of the test done except for these 2 story problems, can you guys please help?


    1. Lisle Washington has two job offers. The starting salary for both jobs is $10,000 for 6 months', or $20,000 per year. In the first job, Lisle would get a raise of $500 (in his salary for 6 months) at the end of every 6 months. In the seconds job, he would get a raise of $1,500 (in his yearly salary) at the end of every eayr. Calculate his total earnings after 5 years on each job. Which job pays more for the 5 years?




    and



    2. A roll of paper used in the production of books contains the equivalent of 3750 concentric cylinders of paper. The smallest cylinder (wound on a cor) has a diamete of 3 in. and each successive cylinder is 0.004 in. larger in diamter than the preceding one. What is the total length of paper on such a roll?




    help would be greatly appreciated, thank you :]

    Because it is a take home TEST we are not allowed to help you. That would be cheating.
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  3. #3
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    no bc she let us take it home to get help on it and use the internet/notes/book to help
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  4. #4
    Bar0n janvdl's Avatar
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    Quote Originally Posted by Jnoobs View Post
    no bc she let us take it home to get help on it and use the internet/notes/book to help
    Okay, we don't have these kinds of things in SA, but as far as I know you're not allowed to get direct help with it.

    Let one of the American or British people on the forum come along and see what they say. They have these kinds of tests and will know about its rules better than i do.
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  5. #5
    is up to his old tricks again! Jhevon's Avatar
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    Janvdl is right. we cannot give you direct help. even if what you said your teacher said is true, it would still be unethical from our point of view to help you in such ways. however, we can give you directions or hints. tell us what you have done so far
    Quote Originally Posted by Jnoobs View Post
    hey guys i just recieve a take home test from my math teacher the other day, and i've got all of the test done except for these 2 story problems, can you guys please help?


    1. Lisle Washington has two job offers. The starting salary for both jobs is $10,000 for 6 months', or $20,000 per year. In the first job, Lisle would get a raise of $500 (in his salary for 6 months) at the end of every 6 months. In the seconds job, he would get a raise of $1,500 (in his yearly salary) at the end of every eayr. Calculate his total earnings after 5 years on each job. Which job pays more for the 5 years?
    Hint 1: there are 10 6-month periods in 5 years. If you get paid $10,000 for each of those periods, what would you earn?

    Hint 2: if you have get a raise of $500 for each of those 6-month periods, what would you earn?

    Hint 3: Obviously, there are 5 1-year periods in 5 years. If you get paid $20,000 for each of those periods, how much would you earn?

    Hint 4: If you get a raise of $1,500 for each of those periods, how much would you earn?


    2. A roll of paper used in the production of books contains the equivalent of 3750 concentric cylinders of paper. The smallest cylinder (wound on a cor) has a diamete of 3 in. and each successive cylinder is 0.004 in. larger in diamter than the preceding one. What is the total length of paper on such a roll?
    Hint: \mbox{Circumference of a circle} = 2 \pi r = \pi D

    where r is the radius and D is the diameter


    we cannot give you anymore help unless you tell us what you've tried
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