Final Flashcards
1
Q
Linear function
A
f(x)=ax+b
2
Q
Exponential function
A
f(x)=ab^x
3
Q
If b>1; if b
A
b>1–growth factor
b
4
Q
Natural growth mode
A
A(t)=A0(1+r)^t
5
Q
If r>0
If -1
A
If r>0–growing naturally
If -1
6
Q
If you know two points for natural growth model
A
A(t)=A0 (An/A0)^ t/n
r= (An/A0)^ 1/n -1
7
Q
Newtons law of cooling
A
PTD (t) =T(t)-A=ab^t
8
Q
Amount of money in an account earning interest compounded n times annually
A
A(t)=A0(1+r/n)^nt
9
Q
Amount of money in an account earning interest compounded continuously
A
A(t)=A0e^rt
10
Q
Effective annual yield reff
A
reff=(1+r/n)^n -1
reff=e^r -1
11
Q
Quantity that grows/decays continuously
A
A(t)= A0e^rt
12
Q
Continuous grown rate from natural growth
A
rc=lnb or ln(1+ rn)
13
Q
Natural growth rate from continuous
A
rn= e^rc -1
14
Q
Newtons law of heating
A
PTD (t)= A-T(t)=ab^t
15
Q
Quadratic function
A
f(x)=ax^2+bx+c
