IM Alg1.5.17 Lesson: Different Compounding Intervals

Earlier, you learned about a bank account that had an initial balance of $1,000 and earned 1% monthly interest.
[size=150]Each month, the interest was added to the account and no other deposits or withdrawals were made.[br]To calculate the account balance in dollars after 3 years, Elena wrote: [math]1,000\cdot\left(1.01\right)^{36}[/math] and Tyler [/size][size=150]wrote: [math]1,000\cdot\left(\left(1.01.\right)^{12}\right)^3[/math].[br][br]Discuss with a partner: [br][/size][br]Why do Elena's expression and Tyler's expression both represent the account balance correctly?
Kiran said, "The account balance is about [math]1,000\cdot\left(1.1268\right)^3[/math]." Do you agree? Why or why not?
A credit card company lists a nominal APR (annual percentage rate) of 24% but compounds interest monthly, so it calculates 2% per month.
[table][tr][td][size=150]Suppose a cardholder made $1,000 worth of purchases using [br]his credit card and made no payments or other purchases. [br]Assume the credit card company does not charge any additional [br]fees other than the interest.[/size][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][br]Write expressions for the balance on the card after 1 month, 2 months, 6 months, and 1 year.[br]
Write an expression for the balance on the card, in dollars, after [math]m[/math] months without payment.[br]
How much does the cardholder owe after 1 year without payment?
What is the [i]effective [/i]APR of this credit card?[br]
Write an expression for the balance on the card, in dollars, after [math]t[/math] years without payment. Be prepared to explain your expression.[br]
A bank account has an annual interest rate of 12% and an initial balance of $800. Any earned interest is added to the account, but no other deposits or withdrawals are made.
[size=150]Write an expression for the account balance:[br][/size][br]After 5 years, if interest is compounded [math]n[/math] times per year.
After [math]t[/math] years, if interest is compounded [math]n[/math] times per year.
After [math]t[/math] years, with an initial deposit of [math]P[/math] dollars and an annual interest percentage rate of [math]r[/math], compounded [math]n[/math] times per year.
Suppose you have $500 to invest and can choose between two investment options.
[list][*]Option 1: every 3 months 3% interest is applied to the balance[/*][*]Option 2: every 4 months 4% interest is applied to the balance[/*][/list][br]Which option would you choose? Build a mathematical model for each investment option and use them to support your investment decision. Remember to state your assumptions about the situation.
Is there a period of time during which the first option (3% interest rate, compounded quarterly) will [i]always[/i] be the better option? If so, when might it be? If not, why might that be?
[size=150]The function [math]f[/math] defined by [math]f\left(x\right)=15\cdot\left(1.07\right)^x[/math] models the cost of tuition, in thousands of dollars, at a local college [math]x[/math] years since 2017.[br][/size][br]What is the cost of tuition at the college in 2017?[br]
At what annual percentage rate does the tuition grow?
Assume that before 2017 the tuition had also been growing at the same rate as after 2017. What was the tuition in 2000? Show your reasoning.
What was the tuition in 2010?
What will the tuition be when you graduate from high school?[br]
Between 2000 and 2010 the tuition nearly doubled.
By what factor will the tuition grow between 2017 and 2027? Show your reasoning.[br]
Choose another 10-year period and find the factor by which the tuition grows. Show your reasoning.[br]
What can you say about how the tuition changes over any 10-year period (assuming the function [math]f[/math] continues to be an accurate model)? Explain or show how you know that this will [i]always[/i] be the case.[br]

IM Alg1.5.17 Practice: Different Compounding Intervals

The population of a city in 2010 is 50,000, and it grows by 5% each year after.
Write a function [math]f[/math] which models the population of the city [math]t[/math] years after 2010.
What is the population of the city in 2017?
What will the population of the city be in 2020?
What about in 2030?
By what factor does the population grow between 2010 and 2020?
What about between 2020 and 2030?
A person charges $100 to a credit card with a 24% nominal annual interest rate.
[size=150]Assuming no other charges or payments are made, find the balance on the card, in dollars, after 1 year if interest is calculated:[br][/size][br]annually
every 6 months
every 3 months
monthly
daily
A couple has $5,000 to invest and has to choose between three investment options.
[list][*]Option A: [math]2\frac{1}{4}\%[/math] interest applied each quarter[/*] [*]Option B: [math]3\%[/math] interest applied every 4 months[/*] [*]Option C: [math]4\frac{1}{2}\%[/math] interest applied twice each year[/*][/list][br]If they plan on no deposits and no withdrawals for 5 years, which option will give them the largest balance after 5 years? Use a mathematical model for each option to explain your choice.
Elena says that 6% interest applied semi-annually is the same as 1% interest applied every month: she reasons they are the same because they are both a 12% nominal annual interest rate.
Is Elena correct that these two situations both offer a 12% nominal annual interest rate?
Is Elena correct that the two situations pay the same amount of interest?
A bank pays 8% annual interest, compounded at the end of each month. An account starts with $600, and no further withdrawals or deposits are made.
What is the monthly interest rate?
Write an expression for the account balance, in dollars, after one year.
What is the effective annual interest rate?
Write an expression for the account balance, in dollars, after [math]t[/math] years.
At the end of each year, 10% interest is charged on a $500 loan. The interest applies to any unpaid balance on the loan, including previous interest.
Select [b]all[/b] the expressions that represent the loan balance after two years if no payments are made.
[size=150]Here is a graph of the function [math]f[/math] given by [math]f\left(x\right)=100\cdot2^x[/math].[br][br][img]data:image/png;base64,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[/img][br][br]Suppose [math]g[/math] is the function given by [math]g\left(x\right)=50\cdot\left(1.5\right)^x[/math].[br][/size][br]Will the graph of [math]g[/math] meet the graph of [math]f[/math] for any positive value of [math]x[/math]? Explain how you know.[br]
[size=150]Suppose [math]m[/math] and [math]c[/math] each represent the position number of a letter in the alphabet, but [math]m[/math] represents the letters in the original message, and [math]c[/math] represents the letters in a secret code.[/size][br][br][size=100][size=150]The equation [math]c=m+7[/math] is used to encode a message.[/size][br][br]Write an equation that can be used to decode the secret code into the original message. [/size]
What does this code say: "AOPZ PZ AYPJRF!"?

Information