Question

A debt of $10,000 is to be amortized by equal payments of $400 at the end of each month, plus a final payment after the last $400 payment is made. If the interest is at the rate of 1% compounded monthly (the same as an annual rate of 12% compounded monthly), i. Write a discrete dynamical system that models the situation. ii. Construct a table showing the amortization schedule for the required payments. iii. Find a solution for the system.

Answer 1

discrete mathmatics.... thats a higher level college course.

Answer 2

An=An−1(1.01)−400

Answer 3

so now balance = past balance(1.01) - 400 ?

Answer 4

\[A _{n}=A _{n-1}(1.01)-400\]

Answer 5

yes

Answer 6

A0 = 10000

the first payment is 10000(1.01) + 400

B[n]=B{n-1}... balance due right?

Answer 7

yes

Answer 8

went wrong way should be adding bc of debt

Answer 9

B{n-1} - B{n-1}(.01) - 400 = B{n}

B{n-1}(1-.01) - 400 = B{n} then right?

Answer 10

how does that look?

Answer 11

We want the balance or the payments?

Answer 12

makes sense

Answer 13

required payments

Answer 14

the payments are:

B{n}(1.01) + 400; right? or you say to negate them to account for debt?

Answer 15

yes

Answer 16

-(1.01)B{n} - 400 = B{n+1} then maybe?

Answer 17

ok how about this For the following affine discrete dynamical systems:
a. un=un-1-2 where u0=4
b. un=un-1+3 where u0=1
the value of r is 1, so the solution formulas given in this lesson do not apply.
i. Use iteration (by hand or with your calculator) to explore the first few terms of each sequence.
ii. On the basis of (i), conjecture a formula for a solution u(n) of the general affine system with r=1:
(I) u0=c
(R) un=un-1+d for n > 0

Answer 18

I have the tables

Answer 19

If I have \[u _{n}=u _{n-1}+d\]

Answer 20

u0=4

Answer 21

http://openstudy.com/groups/mathematics#/groups/mathematics/updates/4dcaa12840ec8b0b88f50f17