Attachment # 00006370 - MATH125_Unit_2_IP_1502B_updated.docx
MATH125_Unit_2_IP_1502B_updated.docx (24.31 KB)
Raw Preview of Attachment:
(refer to the detailed question and attachment below)
MATH125: Unit 2 Individual ProjectNumber Sense, Estimation, and Financial ComputationsBe sure to show ALL of your work details. Submit your answers in a Word document in the Unit 2 IP Submissions area.Question 1: CONSUMER CREDITFor big purchases, many stores offer a deferred billing option (buy now, pay later) that allows shoppers to buy things now without paying the bill at checkout.Assume you bought new appliances for your newly renovated home. Based on the first letter of your last name, choose the total value of the appliances that you have purchased. This will be denoted by P. It does not necessarily have to be a whole number.First letter of your last namePossible values for PA–F$5,000–$5,999G–L$6,000–$6,999M–R$7,000–$7,999S–Z$8,000–$8,999Total value of the appliances, P$The store where you bought these appliances offered you a provision that if you pay the bill within 2 years, you will not be charged any interest for your purchases. However, if you are even a day late in paying the bill, the store will charge you interest for the 2 years.Although the annual interest rate is based on your credit worthiness, disregard this on this assignment and instead, choose an interest rate between 22% and 26%. This will be denoted by r. Annual Interest rate in decimal form, rSuppose you forget about the bill and pay it 1 day late. How much interest do you pay if the store charges you simple interest? Because this is a dollar value, round your answer to the nearest cent. (Assume t = 2 years.)How much is your total bill—the total value of the appliances plus the interest? Round your answer to the nearest cent.How much is your total bill if, instead, the store charges you interest that is compounded daily? Use 6 digits on your intermediate calculations, and round your final answer to the nearest cent. (Assume t = 2 years.)How much interest do you pay if it is compounded daily? Round your answer to the nearest cent.Based on the result of your calculations, write a summary about the difference between simple and compound interest. Do you think a deferred billing option is helpful for shoppers? Explain your answer.Question 2: Saving for Your RetirementSuppose your goal is to have a lump sum that you can withdraw when you retire. To accomplish this, you decided to contribute a portion of your paycheck in an annuity.Using the AIU Library or the Internet, read about what kind of expenses you will be faced with when you retire. Write a brief summary of your research. Based on your research, state the lump sum, in U.S. dollars, that you want to have when you retire. This is the future value of your investment; denote it by F. Future Value, F$State the time, in years, that you plan to contribute to your retirement account. Denote this by t.Time, tBased on the first letter of your last name, choose the annual interest rate for your retirement account. Denote this by r, and you will convert this to its decimal form. It does not necessarily have to be a whole number.First letter of your last namePossible values for rA–F6.00%–7.99%G–L8.00%–9.99%M–R10.00%–11.99%S–Z12.00%–13.99%Annual interest rate in decimal form, rFrom the table below, choose how many times per year you want to contribute to your retirement. Denote this by n, and this will also be your compounding period.Compounding PeriodnYearly1Semi-Annually2Quarterly 4Monthly12Compounding period, nCalculate the interest rate per compounding period, which you will denote by i, by dividing the annual interest rate from #4 by the compounding period from #5, (i.e., i=rn . Round your answer to 6 decimal places.Interest rate per compounding period, iYour contribution per period, which you will denote by C, to this retirement account is calculated using the following formula:C=F×i1+int-1.Using the values that you have chosen for F, i, n, and t, calculate your contribution per period. Use six decimal places for your intermediate calculations, and round your final answer to the nearest cent. NOTE: Make sure to review exponents and the order of operations from College Math Chapter 1.Calculate your total contribution to this retirement account, which you will denote by TC, by using the formula TC = C x n x t.What can you say about the difference in value between your total contribution (TC) and the lump sum (F) that you will receive? Based on what you have learned in this unit, is there a term that is used for this difference?Summarize the results of your calculations, and explain why it is important to prepare for your retirement.

Gen College Mathematics

Question # 00077181 Posted By: ISLNDR210 Updated on: 06/23/2015 01:37 AM Due on: 06/24/2015
Subject Mathematics Topic General Mathematics Tutorials:
Question
Dot Image

Question 1: CONSUMER CREDIT

For big purchases, many stores offer a deferred billing option (buy now, pay later) that allows shoppers to buy things now without paying the bill at checkout.

  1. Assume you bought new appliances for your newly renovated home.Based on the first letter of your last name, choose the total value of the appliances that you have purchased. This will be denoted byP. It does not necessarily have to be a whole number.

First letter of your last name

Possible values forP

A–F

$5,000–$5,999

G–L

$6,000–$6,999

M–R

$7,000–$7,999

S–Z

$8,000–$8,999

Total value of the appliances,P

$

  1. The store where you bought these appliances offered you a provision that if you pay the bill within 2 years, you will not be charged any interest for your purchases. However, if you are even a day late in paying the bill, the store will charge you interest for the 2 years.

    Although the annual interest rate is based on your credit worthiness, disregard this on this assignment and instead,choose an interest rate between 22% and 26%. This will be denoted byr.

Annual Interest ratein decimal form,r

  1. Suppose you forget about the bill and pay it 1 day late. How muchinterest do you pay if the store charges yousimple interest? Because this is a dollar value, round your answer to the nearest cent. (Assumet= 2 years.)

  2. How much is your total bill—the total value of the appliances plus the interest? Round your answer to the nearest cent.

  3. How much is your total bill if, instead, the store charges you interest that is compounded daily? Use 6 digits on your intermediate calculations, and round your final answer to the nearest cent. (Assumet = 2 years.)

Dot Image
Tutorials for this Question
  1. Tutorial # 00527063 Posted By: mac123 Posted on: 05/18/2017 05:08 PM
    Puchased By: 3
    Tutorial Preview
    The solution of Gen College Mathematics...
    Attachments
    Stephanie_Bussey_Unit_2_IP.docx (35.49 KB)
Whatsapp Lisa