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kobeni-chan

  • one year ago

Please HELP I've been stuck for an hour ;-; John has taken out a loan for college. He started paying off the loan with a first payment of $100. Each month he pays, he wants to pay back 1.1 times as the amount he paid the month before. Explain to John how to represent his first 20 payments in sigma notation. Then explain how to find the sum of his first 20 payments, using complete sentences. Explain why this series is convergent or divergent.

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  1. nincompoop
    • one year ago
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    What have you got so far?

  2. kobeni-chan
    • one year ago
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    I don't really know where to start :/

  3. nincompoop
    • one year ago
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    That is not a good way to solve the problem, dude

  4. is3535
    • one year ago
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    100 100*1.1 100*1.1^2 100*1.1^3 ... 100*1.1^19 There they are. You do the sigma notation.

  5. is3535
    • one year ago
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    100 + 100*1.1 + 100*1.1^2 + 100*1.1^3 + ... + 100*1.1^19 = 100(1 + 1.1 + 1.1^2 + 1.1^3 + ... + 1.1^19) = \(100\dfrac{1-1.1^{20}}{1-1.1} = 100\cdot\dfrac{5.7275}{0.1} = 5727.50\) You must be familiar with Geometric Series. Very helpful skills.

  6. is3535
    • one year ago
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    can you took a hour i took a 3 min

  7. kobeni-chan
    • one year ago
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    I'm rusty on a lot of material, I'm not looking for ridicule ;-;

  8. is3535
    • one year ago
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    100 + 100*1.1 + 100*1.1^2 + 100*1.1^3 + ... + 100*1.1^19 = 100(1 + 1.1 + 1.1^2 + 1.1^3 + ... + 1.1^19) = 1001−1.1201−1.1=100⋅5.72750.1=5727.50 You must be familiar with Geometric Series. Very helpful skills.

  9. kobeni-chan
    • one year ago
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    So I just keep raising the exponent?

  10. is3535
    • one year ago
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    57227.50 IS YOUR ANSWER OK MEDAL AND FAN IF YOU WANT

  11. anonymous
    • one year ago
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    theres ur answer 57227.50 fan and medal

  12. kobeni-chan
    • one year ago
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    I need help getting to the answer! Thats not the point of OpenStudy

  13. anonymous
    • one year ago
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    if ur done close the question

  14. kobeni-chan
    • one year ago
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    Please, I don't understand though. I get that you guys might be smarter than me or are jsut eager for medals but I need to be able to explain it.

  15. kobeni-chan
    • one year ago
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    @ganeshie8 do you know how to explain this?

  16. is3535
    • one year ago
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    IM NOT HERE FOR THE MEDAL IM HERE TO HELP

  17. kobeni-chan
    • one year ago
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    @is3535 Ok maybe its just your hulk face or something lol

  18. is3535
    • one year ago
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    YEA LOL

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