monday, december 2 nd
DESCRIPTION
Monday, December 2 nd. Warm Up. Review for Final: What is the variable(s) in the expression? What is the constant in the expression? . Grade Check . Grades Left the Semester. 1 more quiz 1 more Warm up(Daily grade) Exponential Test (Test Grade) Semester I Final (Final grade) - PowerPoint PPT PresentationTRANSCRIPT
Monday, December 2nd
Review for Final:
1.What is the variable(s) in the expression?
2.What is the constant in the expression?
WARM UP
Grade Check
Grades Left the Semester1.1 more quiz 2.1 more Warm up(Daily
grade)3. Exponential Test (Test
Grade) 4. Semester I Final (Final
grade) 5.3 Weekly Reviews-(daily
Grade)
Weekly Review 1. We will have three
weekly Reviews 2. Each will count as a
Daily Grade 3. They are eligible to
replace QUIZ grades
High School GPA A: 4.0B: 3.0 C. 2.0 D. 1.0 F-Receive no Credit. You will have to retake first semester all over again during semester II.
Tutoring Option 1: Ms. Evans
Tuesday and ThursdaysBefore School 6:40-7:00After School 2:10-2:30
Tutoring Option 2: Lunch
Tuesday and ThursdaysEither lunch
Go to room 400 FIRST, then to lunch
Tutoring Option 3: Algebra
Department*Check Schedule in Back
Discussion QuestionWhat’s the difference between exponential
growth and exponential decay equations?!
Growth & Decay in graph
Growth Decay
Growth & Decay in Equation
x
y
322
y
x
y
232Growth
Decay
Growth and Decay in Table
x -2 -1 0 1 2
y 2 4 8 16 32
x -2 -1 0 1 2
y 32 16 8 4 2
For compound interest • annually means “once per year” (n = 1).• quarterly means “4 times per year” (n =4).• monthly means “12 times per year” (n = 12).
Reading Math
Write a compound interest function to model each situation. Then find the balance after the given number of years.
$1200 invested at a rate of 2% compounded quarterly; 3 years.
Step 1 Write the compound interest function for this situation.
= 1200(1.005)4t
Write the formula.
Substitute 1200 for P, 0.02 for r, and 4 for n.
Simplify.
Example #1
Step 2 Find the balance after 3 years.
≈ 1274.01
Substitute 3 for t.A = 1200(1.005)4(3)
= 1200(1.005)12
Use a calculator and round to the nearest hundredth.
The balance after 3 years is $1,274.01.
Write a compound interest function to model each situation. Then find the balance after the given number of years.$15,000 invested at a rate of 4.8% compounded monthly; 2 years.
Step 1 Write the compound interest function for this situation.
Write the formula.
Substitute 15,000 for P, 0.048 for r, and 12 for n.
= 15,000(1.004)12t Simplify.
Example #2
Step 2 Find the balance after 2 years.
≈ 16,508.22
Substitute 2 for t.A = 15,000(1.004)12(2)
= 15,000(1.004)24 Use a calculator and round to the nearest hundredth.
The balance after 2 years is $16,508.22.
Write a compound interest function to model each situation. Then find the balance after the given number of years.$1200 invested at a rate of 3.5% compounded quarterly; 4 yearsStep 1 Write the compound interest function for this situation.
Write the formula.
Substitute 1,200 for P, 0.035 for r, and 4 for n.
= 1,200(1.00875)4t Simplify.
Example #3
Step 2 Find the balance after 4 years.
1379.49
Substitute 4 for t.A = 1200(1.00875)4(4)
= 1200(1.00875)16
Use a calculator and round to the nearest hundredth.
The balance after 4 years is $1,379.49.
1. The number of employees at a certain company is 1440 and is increasing at a rate of 1.5% per year. Write an exponential growth function to model this situation. Then find the number of employees in the company after 9 years.
y = 1440(1.015)t; 16462. $12,000 invested at a rate of 6% compounded
quarterly; 15 yearsA = 12,000(1 + .06/4)4t, =$29,318.64
Write a compound interest function to model each situation. Then find the balance
after the given number of years.
LESSON SUMMARY