RETAKE Unit 3 Part 2 EXAM OnRamps

Front

What is the formula for exponential decay?

Back

The formula for exponential decay is given by: N = N_0 e^{-kt}, where N is the amount remaining, N_0 is the initial amount, k is the decay constant, and t is time.

Front

Define depreciation in financial terms.

Back

Depreciation is the reduction in the value of an asset over time, often due to wear and tear or obsolescence.

Front

What is the logarithmic function?

Back

A logarithmic function is the inverse of an exponential function, expressed as y = log_b(x), where b is the base and x is the argument.

Front

How do you isolate t in the equation N = N_0 e^{-\frac{t \ln 2}{h}}?

Back

To isolate t, rearrange the equation to get t = -\frac{h \ln(N/N_0)}{\ln(2)}.

Front

What is the half-life of a substance?

Back

The half-life is the time required for half of the quantity of a radioactive substance to decay.

Front

What does the term 'linear function' refer to?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the formula for calculating depreciation?

Back

The formula for calculating depreciation is: Depreciation = (Initial Value - Salvage Value) / Useful Life.

Front

Explain the concept of exponential growth.

Back

Exponential growth occurs when the growth rate of a value is proportional to its current value, leading to growth that accelerates over time.

Front

What is the difference between linear and exponential functions?

Back

Linear functions increase by a constant amount, while exponential functions increase by a constant percentage.

Front

What is the formula for the value of an asset after t years of depreciation?

Back

The formula is: V = P(1 - r)^t, where V is the value after t years, P is the initial value, r is the depreciation rate, and t is time.