review of the rest of topics exponential equations and interest problems

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Review of the rest of topics Exponential Equations and Interest Problems

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Think About Others The Regents is coming up very soon. Talking makes it hard for everyone to learn. You cannot interrupt the mini- lesson…IT LOWERS the CLASSES REGENTS SCORE!!! (with less worktime and less effective lessons, how could it not)

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Page 1: Review of the rest of topics Exponential Equations and Interest Problems

Review of the rest of topics

Exponential Equationsand

Interest Problems

Page 2: Review of the rest of topics Exponential Equations and Interest Problems

The Mini-Lessons are very helpful to study

•Mini-lessons can be found on our website:

bit.ly/ALG2ct

Page 3: Review of the rest of topics Exponential Equations and Interest Problems

Think About Others• The Regents is coming up very soon.• Talking makes it hard for everyone

to learn.• You cannot interrupt the mini-

lesson…IT LOWERS the CLASSES REGENTS SCORE!!!

(with less worktime and less effective lessons, how could it not)

Page 4: Review of the rest of topics Exponential Equations and Interest Problems
Page 5: Review of the rest of topics Exponential Equations and Interest Problems

• They give us the formula. • We have to figure out where to put each

number in that formula

Page 6: Review of the rest of topics Exponential Equations and Interest Problems

• V = Pert

P is the principal initially invested.

•What is the value of P?

•P = $1200

Page 7: Review of the rest of topics Exponential Equations and Interest Problems

• V = Pert

• e is the base of a natural logarithm.

• The base of ln x (the natural logarithm) is e!!!

Page 8: Review of the rest of topics Exponential Equations and Interest Problems

Here is where to find e^ on your calculator

Page 9: Review of the rest of topics Exponential Equations and Interest Problems

•V = Pert

r is the rate of interest.

•What is the value of r?• The rate is 6.5%...REMEMBER!

Divide by 100 before using!!!6.5/100 = .065 r = .065

Page 10: Review of the rest of topics Exponential Equations and Interest Problems

•V = Pert

t is for years

•What is t?

•10 years • t = 10

Page 11: Review of the rest of topics Exponential Equations and Interest Problems

V = Pert

V = 1200 e^(.065*10)

V = 2298.648995…P = $1200e is er = .065t = 10

V 2298.65

Page 12: Review of the rest of topics Exponential Equations and Interest Problems
Page 13: Review of the rest of topics Exponential Equations and Interest Problems
Page 14: Review of the rest of topics Exponential Equations and Interest Problems

• Be careful!!!

• This step is where the most mistakes are made.• Don’t forget the parenthesis!!!

2( x2 + 4x )

Page 15: Review of the rest of topics Exponential Equations and Interest Problems

• If both bases are the same, then you know for a fact that the exponents have to be the same, too.

(if same, eliminate)

• Divide both sides by 2

Page 16: Review of the rest of topics Exponential Equations and Interest Problems

• This is what is left when you divide by 2

Page 17: Review of the rest of topics Exponential Equations and Interest Problems

• Add 3 to both sides

Page 18: Review of the rest of topics Exponential Equations and Interest Problems

• Factor:(easy, 3 and 1 are only options)

Page 19: Review of the rest of topics Exponential Equations and Interest Problems

• What makes the left side 0?-1 makes it 0-3 makes it 0.

• The solutions are:

Page 20: Review of the rest of topics Exponential Equations and Interest Problems

We have gone over 80% of the Pre-Test problems during mini-lessons

• Your last Post-Test of the year will be on Friday.

• From this point on, we will have 2 small quizzes a week. This will test your knowledge of Trig and all the other outcomes we have done this year.

• You will turn in your Pre-Test with every problem done right before the Post-Test on Friday. If every problem is shown correctly, you will receive an E. (Remember, if you are stuck, solutions to these problems can be found online)

• Good luck on your final Post-Test!!!!

Page 21: Review of the rest of topics Exponential Equations and Interest Problems

Today, we will meet in Responsibility Teams. Your Team is required to follow

UR rules while in your team.

1. If you have a question ask it.2. Make sure everyone in the

group is working!3. If everyone is stuck, work on it

together. If somebody knows, teach your group!!!

Page 22: Review of the rest of topics Exponential Equations and Interest Problems

Responsibility Teams

Page 23: Review of the rest of topics Exponential Equations and Interest Problems