Question

Linear/Quadratic Systems Investment Assignment:

You are to take on the role of an investment broker who will be analyzing two investment options. The two investment options are as follows:

A(t) atbt + c Investment 2 Investment 1 = A(t) mtc

In both equations:

• "t" is time in weeks
• "a" is the amount in dollars
• "c" is your initial investment.
• The values of a, b, c and m will be assigned to each student. Please contact your teacher to let them know you are ready to begin this assignment. You will then receive your values.

Your objective is to analyze the two functions, algebraically and graphically, to answer the questions that follow and to ultimately determine the best investment.

1.  Using Desmos or other graphing calculator software, you are to determine the coordinates of when these two graphs intersect one another. Include a screenshot of the point(s) of intersection and ensure you clearly identify the coordinates.

2. Showing all work, confirm the intersection point of Investment 1 and Investment 2 algebraically.

3. Answer the following questions in detail:

a) What do these points of intersection mean in the context of the problem?

b) Under what circumstances should an investor recommend investment 1?

c) Under what circumstances should an investor recommend investment 2?

Answer 1

Investment 1 - Alte at ²+ bttc Investment 2 - Altle mt to Point of interdection of investment 1 and investmed 2 is at ²+bttle mt at? bt-mt ca at ² + (6-mt eo that +(6- mo Itzo at + (6-m) to te m-b Altec A Alt) en (m-btc at²+b+c nttc Mb

The point of intersection mean the amount of outcome will not vary according to the time period invested. in both cases i.e. in initial case of principal amount and a certain time when the time period has reached the limit where the final amount is in lame differences for both the investments The investor should recommend investment 1 in case the second difference of the outcome value is same The investor investment 2 difference is hane should recommend in case the first of the outcome value