Unit 5 Exponentials Retest

Front

Solve for n: 2^3n = 4. What is n?

Back

n = 2/3

Front

What happens if I multiply your money by 1.035?

Back

That's more money.

Front

Rewrite log(8) = x in exponential form.

Back

10^x = 8

Front

If Jennifer invests $1000 at 7% interest compounded monthly, how long will it take for her money to triple?

Back

About 15.74 years.

Front

If Olivia spends $7400 on furniture with 9.5% interest compounded quarterly, how much will she pay after 8 years?

Back

$15,683.28

Front

What is the definition of an exponential function?

Back

A function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.

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 annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

Front

What does it mean for an interest rate to be compounded monthly?

Back

Interest is calculated and added to the principal every month.

Front

How do you convert an exponential equation to logarithmic form?

Back

If a^b = c, then log_a(c) = b.

Front

What is the base of a logarithm?

Back

The base is the number that is raised to a power to obtain a given number.