General Mathematics Exponential Equation.pptx

Exponential Equations

1. GENERAL MATHEMATICS RACHEL M. CUEVAS, MST Teacher III

2. Class should actively participate If somebody is talking in front, keep quiet. Raise your hand if you want to answer Classroom Rules:

3. a. Have you already tried to invest your money? b. Have you tried to borrow money to someone? c. Were you aware of the amount that you will gain or pay in the future?

4. GENERAL ORDINARY ANNUITY

5. At the end of the lesson, students are expected to: 1 . Define general annuity and general ordinary annuity. 2 . Solve the future and present value of general ordinary annuity. M11GM-IIc-d-1 Objectives :

6. The class will be divided into five groups. Each group will be given a problem on annuity. Using the formula given the students will answer the problems involving general annuities. FV =   After 5 minutes each group will post their solutions on the board and present to the class. ACTIVITY:

7. How did you find the activity ? 2. What have you noticed with the payment interval and conversion period ? 3. How did you come up with your answer?

8. GENERAL ANNUITY Definition: Interest conversion or compounding period is unequal or not the same as payment interval General Ordinary Annuity Annuity in which the periodic payment is made at the end of each payment interval

9. Formula for General Ordinary Annuity FV =   Future Value Where: b = c= number of months in a compounding period p = number of months in payment interval   PV =   Present Value

10. Example 1: The latest cell phone sells for Php5,000.00 down payment and Php900.00 every end of each quarter for 3 years at the rate of 8% compounded semi-annually. Find the cash equivalent of the cell phone PV =   P= 900 n = 3(2) =6 i= = 0.04 b= p= 3 c=6   ₱ 9 529.28

11. Example 2: In an school event, Angel needs to wear a Blaan traditional costume. The amount of a traditional Blaan costume costs Php 5,000.00. To cover this amount Angel borrows from his uncle and agrees to pay ₱800.00 every end of 3 months at 3% compounded semi-annually for 2 years. What is the total amount will Angel pay to her uncle? P= 800 n = 2(2) =4 i= = 0.015 b= p= 3 c=6   ₱ 6 569.90 FV =  

12. APPLICATION: Create/craft one problem that includes general ordinary annuity based on the following local situations. Group 1. Outreach Program in a Blaan Community Group 2. Livelihood Program for the IP Community Group 3. College Education Fund S olve the crafted problems and present to the class your output

13. Direction : In a ½ sheet of paper solve the given problems. Show your solution using the formula . 1 . Jack deposited Php 1,000.00 in the bank monthly that pays 3% compounded semi-annulaly. How much will be in his bank account after 10 years? 2 . Kimberly borrowed money from Ana Mae. She agrees to pay the principal plus interest by paying Php 15,000.00 each year for 5 years. How much did she borrowed if the interest is compounded quarterly? Let's try it out

14. Assignment Direction : Solve the given problem. Show your solution using the formula. Put your output on a ½ sheet of paper. (10 points ) Charmine saves Php 3,000.00 monthly in a fund with 5% compounded quarterly. How much will behis savings after 5 years?

15. Thank you! Here's to using everyday math in making healthy financial decisions .