- annual percentage rate (APR)
- the yearly interest rate earned by an investment account, also called
*nominal rate*

- carrying capacity
- in a logistic model, the limiting value of the output

- change-of-base formula
- a formula for converting a logarithm with any base to a quotient of logarithms with any other base.

- common logarithm
- the exponent to which 10 must be raised to get$\text{\hspace{0.17em}}x;\text{\hspace{0.17em}}$$\text{\hspace{0.17em}}{\mathrm{log}}_{10}\left(x\right)\text{\hspace{0.17em}}$ is written simply as$\text{\hspace{0.17em}}\mathrm{log}\left(x\right).$

- compound interest
- interest earned on the total balance, not just the principal

- doubling time
- the time it takes for a quantity to double

- exponential growth
- a model that grows by a rate proportional to the amount present

- extraneous solution
- a solution introduced while solving an equation that does not satisfy the conditions of the original equation

- half-life
- the length of time it takes for a substance to exponentially decay to half of its original quantity

- logarithm
- the exponent to which$\text{\hspace{0.17em}}b\text{\hspace{0.17em}}$must be raised to get$\text{\hspace{0.17em}}x;\text{\hspace{0.17em}}$written$\text{\hspace{0.17em}}y={\mathrm{log}}_{b}\left(x\right)$

- logistic growth model
- a function of the form$\text{\hspace{0.17em}}f(x)=\frac{c}{1+a{e}^{-bx}}\text{\hspace{0.17em}}$where$\text{\hspace{0.17em}}\frac{c}{1+a}\text{\hspace{0.17em}}$is the initial value,$\text{\hspace{0.17em}}c\text{\hspace{0.17em}}$is the carrying capacity, or limiting value, and$\text{\hspace{0.17em}}b\text{\hspace{0.17em}}$is a constant determined by the rate of growth

- natural logarithm
- the exponent to which the number$\text{\hspace{0.17em}}e\text{\hspace{0.17em}}$must be raised to get$\text{\hspace{0.17em}}x;$$\text{\hspace{0.17em}}{\mathrm{log}}_{e}\left(x\right)\text{\hspace{0.17em}}$is written as$\text{\hspace{0.17em}}\mathrm{ln}\left(x\right).$

- Newton’s Law of Cooling
- the scientific formula for temperature as a function of time as an object’s temperature is equalized with the ambient temperature

- nominal rate
- the yearly interest rate earned by an investment account, also called
*annual percentage rate*

- order of magnitude
- the power of ten, when a number is expressed in scientific notation, with one non-zero digit to the left of the decimal

- power rule for logarithms
- a rule of logarithms that states that the log of a power is equal to the product of the exponent and the log of its base

- product rule for logarithms
- a rule of logarithms that states that the log of a product is equal to a sum of logarithms

- quotient rule for logarithms
- a rule of logarithms that states that the log of a quotient is equal to a difference of logarithms