CCA Chapter 7 Review

Front

What is the equation that represents exponential decay?

Back

y = a(1 - r)^t, where a is the initial amount, r is the rate of decay, and t is time.

Front

What does it mean when a number is raised to the power of zero?

Back

Any non-zero number raised to the power of zero equals 1.

Front

How do you solve a system of equations?

Back

Use substitution or elimination methods to find the values of the variables that satisfy both equations.

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the rate, n is the number of times interest is compounded per year, and t is the number of years.

Front

What is the value of an investment that grows at a rate of 5% per year for 51 years if the initial investment is $30,000?

Back

Approximately $361,223.

Front

What is the general form of an exponential function?

Back

y = ab^x, where a is the initial value, b is the base (growth factor), and x is the exponent.

Front

What is the solution to the equation x + 3y = 9 when x = -3?

Back

y = 4.

Front

What is the value of N in the function N = 14,000(0.96)^t after 3 years?

Back

N = 12,386 employees.

Front

What does the term 'exponential growth' refer to?

Back

A process where the quantity increases at a rate proportional to its current value.

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.