math formulas

math three

standard exponential

y=a(b)^x

half-life

a(t)=Ao(1/2)^rt

compounded periodically

a(t)=Ao(1+r/n)^nt

compounded continuously

a(t)=Aoe^rt

for standard exponential, what does the a represent

starting amount

for standard exponential, what does the b represent

base (multiplied by itself)

for half-life, what does the A(t) represent

amount after time

for half-life, what does the Ao represent

initial amount (at time zero)

for half-life, what does t represent

time

for half-life, what does n represent

length of half life

for compounded periodically, what does the a(t) represent

amount after t

for compounded periodically, what does the Ao represent

initial amount

for compounded periodically, what does the r represent

the rate (as a decimal)

for compounded periodically, what does the t represent

time

for compounded periodically, what does the n represent

number of times compounded in a year

for compounded continuously, what does a(t) represent

amount after t

for compounded continuously, what does p represent

initial amount

for compounded continuously, what does r represent

rate (as a decimal)

for compounded continuously, what does t represent

time

what does b equal when the equation is doubled

b=2

what does b equal when the equation is tripling

b=3

what does n equal when the equation is being checked monthly

n=12

what does n equal when the equation is being checked quarterly

n=4