Math final study guide

Compound Interest

A = P (1 + r/n ) ^nt

Continuous Interest

A = Pe ^ rt

Exponential Growth

A = P ( 1 + r) ^t

Converse

If q, then p

Inverse

if not p, then not q

Contrapositive

if not q, then not p

If the lights are on, then I am using electricity

Converse

If I am not using electricity, then the lights are not on

Inverse

If the lights are not on, then I am not using electricity

contrapositive

P column contains what…

T, T, F, F

Q column contains what..

T, F, T, F

Not P contains what…

F, F, T, T

Not q contains what…

F, T, F, T

(not q) or (not p) contains what…

F, T, T, T

q and (not p) contains what…

F, F, T, F

Affirming conclusion

Invalid Argument

Affirming the hypothesis

Valid Argument

Denying conclusion

Valid Argument

Denying hypothesis

Invalid Argument

Premise: If you make bread, then you must use an oven

P: Alex used an oven

C: Alex made bread

Affirming conclusion - Invalid Argument

Premise: If you make bread, then you must use an oven

P: Alex made bread

C: Alex used an oven

Affirming hypothesis - Valid Argument

Premise: If you make bread, then you must use an oven

P: Alex did not use an oven

C: Alex did not make bread

Denying conclusion - Valid Argument

Premise: If you make bread, then you must use an oven

P: Alex did not make bread

C: Alex did not use an oven

Denying hypothesis - Invalid Argument

Name the 4 suits of cards

Hearts, diamonds, clubs, spades

How many cards are in each suit?

13 cards

How many face cards are there and what are their names?

12 - Jack, Queen, and King

face or club equation

= ( face ) + ( Club ) - ( overlap )