CPAN112_Lab01_Tyler_Escobar

Fundamentals of Numeric Computing CPAN 112 Lab 01 Please read the following instruction very carefully before answering any questions:  Please read all the questions very carefully.  Please provide your answers in the boxes below each question, and do not change the text colour.  Your answer MUST show the solution procedure. There is no credit if you only state the final answer.  Please underline your final answer to each question.  Please keep the naming conventions requested in this lab and each question.  Once you complete your lab, rename your word document file to the ( CPAN112_LabXX_FirstName_LastName ). Replace XX with the lab number (e.g. 01). Replace FirstName and LastName with your first name and last name, respectively. It will be a 10% mark deduction if you do not follow the guidelines mentioned above.

1) Simplify: a. 9a + 3a + 7a ( here is a sample solution ) 9a + 3a + 7a = 12a + 7a = 19a OR b. -(4 - 5a) - (-2 + 3a) = (-4 + 5a) - (-2 + 3a) = -4 + 2 + 5a – 3a = -2 + 2a c. (-a 3 - 4a 2 - 3a) ÷ (-a) = ( -a 3 /-a - 4a 2 /-a - 3a/-a) = (a 2 + 4a + 3) 2) Evaluate the following for the values given. FV(l- rt) for FV = $1200, r = 0.175, t = 256 / 365 = 1200(l - (0.175 x 256/365) = 1200(l – 0.122739726) = 1200 – 147.29 = 1052.71 3) Evaluate the following. 1.07 15 – 1/0.07 1.07 15 - 14.28571429 = 2.759031541- 14.28571429 = -11.53 4) Simplify. 5 2 ÷ 5 -3 = 5 2-(-3)

9) Danielle invests part of her $3000 savings into a savings account at 3% and part into a GIC at 4.5% simple interest. If she earns $128.25 in interest from her two investments, calculate how much she invested at each rate. $1000 in an account with 5% interest: earning = $1000 * 5% = ? 3% = 0.03, 4.5% = 0.045 128.25 = (0.045 * x) + (0.03 * y) (128.25 = 0.045x + 0.03y) x -100 (3000 = x + y) x 3 9000 – 12825 = 3y-3y-4.5x+3x -3825/-1.5 = -1.5x/-1.5 2550 = x 3000-2550 = y y = 450 10) Write a simple Python program for question (9) to calculate and display how much Danielle invested at each rate. Copy and paste your Python code here: yPer = float ( 0.03 ) xPer = float ( 0.045 ) Origin = int ( 3000 ) x = int (Origin - 450 ) x = float (x * xPer) y = int (Origin - 2550 ) y = float (y * yPer) total = float (x + y) print( 'The amount she put in the 4.5% rate was' ) print(x) print( 'while in the 3% rate she put' ) print(y) print( 'making her total earnings' ) print(total) Deliverables :

The word document file (CPAN112_LabXX_FirstName_LastName) contains your solution.