Algebra II chapter 6 vocab

Continuously compounding interest formula

A = Pe^rt

What does P mean in A = Pe^rt

Principal (original deposit)

What does r mean in A = Pe^rt

Interest rate

What does t mean in A = Pe^rt

Time since the account opened

What is the equation of the exponential function

Y = ab^x

How do you translate log form into exponential

Logb^y = x ——> b^x = y

What is a common log’s value

Log10

What is a natural log

A log with base e. It is usually denoted by ln

What formula is used for progressive growth/decay

Y = a (1 ± r)^t

What does the A in y = a(1 ± r)^t mean

Initial amount

What does the r in y = a(1 ± r)^t

The decimal rate

What does the t in y = a(1 ± r)^t

time passed

what is the compound interest formula

A = P (1 + r/n) ^nt

What does the A in A = P (1 + r/n) ^nt mean

A is total amount

What does the P in A = P (1 + r/n) ^nt mean

P is principal (starting amount)

What does the r in A = P (1 + r/n) ^nt mean

Decimal interest rate

What does the n in A = P (1 + r/n) ^nt mean

Number of times per year that interest is compounded

What does the t in A = P (1 + r/n) ^nt mean

time

what is interest formula

Y = ab^x

What does A when y = ab^x

Initial value

What does the b in y = ab^x

Base growth/decay factor

What does the x in y = ab^x

Time

What is the half life formula

y = ab^x/c

What does the y in y = ab^x/c mean

Amount of substance

What does the a in y = ab^x/c Mean

Starting amount

What does the b in y = ab^x/c Mean

Decay factor

What does the x in y = ab^x/c Mean

Total time

What does the c in y = ab^x/c mean

Half life period