Results 1 to 2 of 2

Math Help - Need help...recursion/finite sets

  1. #1
    Member
    Joined
    Mar 2006
    Posts
    82

    Need help...recursion/finite sets

    PLz help me do these problems...thank youuu sooo much.

    1) An amortized loan is paid off in equal periodic payments of P units. Assume that the periodic interest rate over the time period is (100 X r)%. If L is the loan amount and Xn is the balance remaining after the nth payment, give a recursive formula for Xn.

    comment: usually one is given L and r, and the objective is to find a value of P such that the balance is equal to zero after the Mth payment for some fixed M (which is normally a multiple of 12). In order to do this, one needs to derive a closed formula for Xn and solve for P in terms of L, r, and M.

    Finite Sets:

    1) Determine the number of Boolean subalgebras of P(X) if X is the set {1,2,3,4}. How many have exactly two atomic subsets?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Grand Panjandrum
    Joined
    Nov 2005
    From
    someplace
    Posts
    14,972
    Thanks
    4
    Quote Originally Posted by jenjen View Post
    PLz help me do these problems...thank youuu sooo much.

    1) An amortized loan is paid off in equal periodic payments of P units. Assume that the periodic interest rate over the time period is (100 X r)%. If L is the loan amount and Xn is the balance remaining after the nth payment, give a recursive formula for Xn.

    comment: usually one is given L and r, and the objective is to find a value of P such that the balance is equal to zero after the Mth payment for some fixed M (which is normally a multiple of 12). In order to do this, one needs to derive a closed formula for Xn and solve for P in terms of L, r, and M.
    As X_n is the debt after the n-th payment the amout owing
    before the n+1-st payment is (1+r)X_n , so:

    <br />
X_{n+1}=(1+r)X_n - P.<br />

    RonL
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Recursion (and sets)
    Posted in the Discrete Math Forum
    Replies: 3
    Last Post: December 14th 2011, 09:13 AM
  2. Help with Kunen and recursion on wellfounded sets.
    Posted in the Discrete Math Forum
    Replies: 9
    Last Post: November 5th 2010, 09:47 AM
  3. Finite SETS
    Posted in the Differential Geometry Forum
    Replies: 6
    Last Post: February 8th 2010, 08:04 AM
  4. finite sets
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: November 9th 2009, 07:07 PM
  5. Replies: 1
    Last Post: March 25th 2009, 11:09 PM

Search Tags


/mathhelpforum @mathhelpforum