Joint Investment

Would you have known immediately that the number 1729 is the sum of two cubes?

You think you’re so smart, but you’re no Ramanujan. He told Hardy that 1729 is the sum of two cubes in two ways: 13+12and 93+103.

I read The Man Who Knew Infinity a few years ago. I might check out the movie when it hits a theatre near me. Like Netflix.

man-who-knew-infinity-656x1024

Also, I subjected my students to this 14-minute podcast about Hardy and Ramanujan.

One more “fair share” task for my 8th graders from Peter Liljedahl’s site because I like it and don’t want to work in the textbook as our students are taking the Smarter Balanced Tests this week.

Joint Investment

Six years ago you made an investment with a friend – you bought a house together. It wasn’t only an investment, it was also a favor. Your friend didn’t have a place to live and didn’t have enough money to buy a house. So, you pooled your money and bought a $300,000 house for your friend to live in. You provided $50,000 for the down payment and your friend provided $25,000. Because of the size of the down payment it meant that the mortgage was relatively low – only $1000 a month – which your friend paid. During the six years all property tax payment were split evenly between you as were all major renovations and upgrades. Well, it is now six years later and your friend is getting transferred to Ontario. So, you have sold the house for $500,000 (the market has been good to you). There is still $200,000 outstanding on the mortgage. How will you split the $300,000 equity between you? Justify your decision.

A couple of solutions thus far:

2016-05-02_13-28-33

 

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3 Comments

  1. Posted May 2, 2016 at 3:34 pm | Permalink

    A simple (minded?) approach:
    On the basis of the initial investment I own 2/3 of the house, he owns 1/3, the split of the 30,000 should be the same.
    But he made all of the mortgage payments, 72,000, of which 2/3 was on my behalf, being 48,000.
    So I refund him the 48,000 and the final split is me 152,000 and him 148,000
    If I was him I’d go for it!

    • Grily John
      Posted June 26, 2017 at 12:59 am | Permalink

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      my work is to provide a Investors or Loan Company for People

      We want you to Partner with any of Investors or Loan Company but
      we want any Profitable Business Proposal from you so that we can
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  2. Grily John
    Posted June 26, 2017 at 12:58 am | Permalink

    I am Investment Business Consultant for any kindly of Investment ,
    my work is to provide a Investors or Loan Company for People

    We want you to Partner with any of Investors or Loan Company but
    we want any Profitable Business Proposal from you so that we can
    link you with Investors Or Loan Film To indicate your
    interest,Profitable Business Proposal

    I look forward to your prompt response.
    Regards,
    Grily John
    Phone:+447045740870
    Email:johngrily@gmail.com

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