Formulas

This fomulas are used to find how much a certain item will amount to after so much increase over a given amount of time. This is commonly used to for money and bunnies.

1.A(t)=A0 (1+r)^t.......................Used when compounding
A0=starting amount
r=rate
t=number of times compounding in given timespan

2.A(t)=A0 b ^t/k.........................Used things are doubling, halfing, tripling, etc.
A0=starting amount
b=double (2) or half (1/2) or triple (3), etc.
t=amount of time
k=how long it takes to double, half, triple , etc.

3.Rule of 72. To find how long it takes for something to dougle then find 72-r (r is not a decimal in this situation)

4.P(t)-P0 e ^rt..............................only used when compounding continuously
P0=starting amount
r=rate
t=time
e=number e

1.The local bank offers acounts were you money is doubles after 10 years. If you deposit $1,200 how much money will you have in 8 years?
Use formula #2 because you are doubling.
Ao=1200
b=2 (because your doubling)
t=8 (the amount of time you plan to leave money in account)
k=10 (time it takes to double)
A(t)=1200(2)^8/10=2089.32