maths formulas

Question 1

ear

Answer 1

e^i -1

Question 2

annual appreciation rate

Answer 2

(1+i)^t=F/P
Pe^it continuous

Question 3

taylor series

Answer 3

1/n! f^n(a)(x-a)^n

Question 4

arithmetic series nth term & sum of

Answer 4

A+(n-1)d
n/2(2A+(n-1)d) or n/2(a1+an)

Question 5

geometric nth term, sum of & sum to infinity

Answer 5

Ar^n-1
A(1-r^n)/1-r
A/1-r

Question 6

l’hospitals rule

Answer 6

if f(x)/g(x) = 0 r infinity then f’(x)/g’(x)=f(x)/g(x)

Question 7

total investment over years

Answer 7

F/(1+i) + F/(1+i)^2 +F/(1+i)^n

Question 8

PV

Answer 8

a/r(1-e^-rt) t(years) r(discount rate) a(initial per year)

Question 9

Saddle point

Answer 9

Fx^2fy^2 - fxy ^2=D
D<0 saddle point
D>0 max/min
D=0 see if concavity disagrees