Q2: Pre-AP Algebra 2 Retake on Flashcard#1 for Unit 1: L1.4-L1.5

Front

What is the formula for exponential growth in the context of tuition increases?

Back

T = 12000(1.03)^x, where T is the tuition after x years.

Front

How do you calculate the future value of an investment compounded monthly?

Back

Use the formula 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 is the difference between compounded monthly and compounded daily interest?

Back

Compounded monthly means interest is calculated and added to the principal 12 times a year, while compounded daily means it is calculated and added 365 times a year.

Front

How do you calculate the total amount paid on a loan with compound interest?

Back

Total amount paid = Principal + Interest, where Interest can be calculated using the compound interest formula.

Front

What is the formula for exponential decay in population models?

Back

y = y0(1 - r)^t, where y0 is the initial population, r is the rate of decay, and t is time.

Front

How do you determine the population after a certain number of years with a given decay rate?

Back

Use the exponential decay formula: y = y0(1 - r)^t.

Front

What is the significance of the base in an exponential function?

Back

The base determines the rate of growth (if >1) or decay (if <1) in the function.

Front

How do you interpret the results of a population decrease over time?

Back

A decrease indicates that the population is declining, and the rate of decrease can be modeled using exponential decay functions.

Front

What is the impact of a higher interest rate on the future value of an investment?

Back

A higher interest rate increases the future value of an investment, leading to more significant growth over time.

Front

How do you compare two investment options with different compounding frequencies?

Back

Calculate the future value for each option using the appropriate compounding formula and compare the results.