Unit 5
What is the formula for compound interest?
A=P(1+r/n)^(nt)
What is the law of sines?
sin(A)/a = sin(B)/b = sin(C)/c
or
a/sin(A) = b/sin(B) = c/sin(C)
The limit of 3(x-2)^2 as x approaches 7 is?
75
List all three Pythagorean identities.
sin^2 + cos^2 = 1
tan^2 + 1 = sec^2
cot^2 + 1 = csc^2
When is your Final?
May 19th
What is the formula for continuously compounded Interest?
A=Pe^(rt)
All of the angles in a triangle add up to?
180 degrees
Explain why Alec is obsessed with the Mean Girls movie (mathematically).
The left and the right hand sides of a limit have to equal/match for the general limit to exist!
prove sec(x) - tan(x)sin(x) = 1/sec(x)
Where do should you turn in your survey project for extra credit?
Google classroom
Solve the below for x.
log(100)=x log_3(81)=x log_2(x)=-3
x=2 x=4 x=1/8
Given triangle ABC with a=5, A=38 degrees, and B=76 degrees, find b.
7.88
The limit of 3(x-2)^2 as x approaches negative infinity is?
positive infinity
Prove sec^2(x)/(sec^2(x)-1) = csc^2(x).
check their work
How many years has Alec been at SPCPA?
3
How much money will you have after 5 years if you invest $30 initially at an interest rate of 4.3% compounding monthly?
$37.18
Given triangle XYZ with x=7, X=21 degrees, and Y=74 degrees, find z.
19.46
See the Google classroom review post.
https://docs.google.com/document/d/109nBfz4psRhsZ20aPi7j35S1w-W46ee37wwgsV3FhaM/edit?usp=sharing
3
Find sec(sin^-1(6/13)).
13/sqrt(133)
When is our last day of school?
5/29
How many years will it take to save $100 if you start with $50 compounded continuously at a rate of 8.9%?
7.79 years
if v = <3,2> and w = <-1,5>, what is 3w-2v?
<-9,11>
If f(x) = 3(x-1)^2, find the average rate of change between -3 and 7.
6
Calculate cos(15 degrees).
(sqrt(6) + sqrt(2)) / 4
What club has Alec been hosting afterschool this year?
Fiber Arts!