Name: Last ______________________ First_______________________ Section # _________
ID # __________________________________(at least the last 4 digits)
Signature Assignment Math 1315
1. Use Gauss-Jordan Elimination to solve the following system of equations . You must show all of
your work identifying what row operations you are doing in each step. Do not use a graphing
calculator in order to reduce the matrix or you will not receive credit for the problem..
2x – 4y + 6z = – 2
– x + 3y – 3z = 1
– x + 2y + 2z = -4
x = _________
y = _________
z = _________
3. Mike has \$235,000 he wishes to invest in two rental properties. One yields 10% and the other
yields 12%. For safety he wants to split his investment between the two properties instead of
investing all of his money in the higher yielding rental property. If his goal is to achieve a total income
earned of \$25,000 a year from these two properties, how much money should he invest in each
property. You must show your work illustrating how you calculated your answer in order to get credit
for this problem.
Amount invested in property yielding 10% ________________
. Amount invested in property yielding 12% ________________.
4. A. What would be your monthly mortgage payment if you pay for a \$250,000 home by making a
20% down payment and then take out a 3.74% thirty year fixed rate mortgage loan where interest is
compounded monthly to cover the remaining balance. All work must be shown justifying the following