Front

Solve the equation: 2x + 3 = 11

Back

x = 4

Front

Rewrite 36 as a base and exponent: 36 = ?

Back

6^2

Front

Solve for x: 4^(x-1) = 318

Back

x = 5.1564

Front

Solve for x: 5e^(2x) = 840

Back

x = 2.56

Front

Determine the time for an investment to grow: $8,200 at 10.5% compounded quarterly to $13,000.

Back

4.45 years

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 applied per time period, and t is the time in years.

Front

Define 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 natural logarithm?

Back

The natural logarithm, denoted as ln(x), is the logarithm to the base e, where e is approximately equal to 2.71828.

Front

How do you solve for x in an exponential equation?

Back

Take the logarithm of both sides to isolate x.

Front

What is the difference between simple interest and compound interest?

Back

Simple interest is calculated only on the principal amount, while compound interest is calculated on the principal and also on the accumulated interest.