MATH 105 Homewood Wk 4 Define Installment Loans in Your Own Words Worksheet

User Generated

og999

Mathematics

MATH 105

Homewood Flossmoor High School

MATH

Description

I have some worksheets that need to be completed in 2 days. I'm paying very well for the short notice and amount of work. I'm under the weather and under a lot of stress, this would help alot.

Unformatted Attachment Preview

Alternate Recitation Assignment Math 105-76 Week 4 of Recitation/Week 5 of classes Question 1: Why did you choose to do the alternate assignment instead of attending recitation? (It’s not required to attend, and you can get full points by completing this assignment, I’m just curious.) Question 2: True or False. When creating a budget, it only really matters that you include the biggest expenses like rent, utilities, and gas. Explain your reasoning behind choosing your answer. Question 3: Suppose you get a $5 footlong (assume 6% sales tax) from Subway for lunch once a week for a month and you also pay $8/month for Netflix. Calculate your monthly Subway expense and determine what percentage the Subway expense is of your monthly Netflix expense. Be sure to show your work or explain your steps. (assume 1 month = 4 weeks) Question 4: If every month for 2 years you accumulate about $80 in credit card debt with a card company that has a 13% annual interest rate, when you go to pay off the card at the end of the second year, how much will you owe? (Round to the nearest cent) Show or explain your work. Question 5: From Q4, how much of what you owe the end of the 2 years is interest? (express as a dollar amount AND as a percentage). The percentage is not 13% the annual interest rate, why? Question 6: Suppose you have a car that gets terrible gas mileage and requires that you put premium in it, costing you $300 per month on gas. You find a used car that gets better gas mileage and only requires unleaded. You calculate that driving the same distance in this car will only cost you $100 per month on gas. If the car is $5000, how many months before this more fuel-efficient car will pay for itself? Be sure to show your equation that you set up for this. Question 7: Your friend tells you that she doesn’t budget because she has a credit card and whatever she doesn’t have enough to cover at the end of the month, she can just charge to the card. Do you think your friend is making a wise decision? If not, what advice/warnings would you give her? Question 8: Before studying this section, how important did you consider monitoring your finances and what did you consider was the most important task to be able to keep them in check? Question 9: Did anything shock you when working through the content of this section? If not, where or how did you learn to be financially aware? Alternate Recitation Assignment Math 105-76 Week 5 of Recitation/Week 6 of classes Question 1: Why did you choose to do the alternate assignment instead of attending recitation? (It’s not required to attend, and you can get full points by completing this assignment, I’m just curious.) Question 2: Define each of these terms in your own words: Principal, Simple interest, Compound interest, annual percentage yield (APY), and continuous compounding interest. Question 3: Here are three formulas for calculating interest: A = P + ((APR x P) x Y) A = P x (1 + APR/n)nY A = P x e(APR x Y) Identify what kind of interest each one helps you calculate and what each of the variables represent. (“x” indicates multiplication) Question 4: Convert the following expressions into a form that is equivalent but no longer contains a fractional exponent: 161/4, (-4)1/2, -41/2, 26/3, and 82/3. (if you’re typing, you may just say for example, “square root (#)” and you can hold “ctrl” “shift” “=” to make an exponent or just use the ^) Question 5: From Q4, are there any that do not yield a real number? Which one(s) and why? Question 6: Suppose you invest $1000 into a savings account that offers 7% annual interest rate. After 9 years, calculate how much you’d have if the 7% is simple interest. (show work, round to nearest cent if necessary) Question 7: From Q6, calculate how much you’d have if the 7% is compound interest. Which gives you more money at the end of the 9 years and how much more would you have? (show work, round to nearest cent if necessary) Question 8: Set up the equation you’d use to find APY if the APR is 6% compounded weekly. (1 year = 52 weeks). Question 9: Use the equation from Q8 to calculate APY. (round to nearest hundredth if necessary) Question 10: From Q8, set up the equation you’d use to find APY if the interest was compounded continuously. (Do not solve, I just want to see the equation.) Question 11: If you need to save $50,000 in 10 years, how much would you need to put into your savings account that has an 11% interest rate compounded monthly? (Set up the equation for interest and rearrange so that you have P isolated on one side (aka P=…) but do not solve.) Alternate Recitation Assignment Math 105-76 Week 6 of Recitation/Week 7 of classes Question 1: Why did you choose to do the alternate assignment instead of attending recitation? (It’s not required to attend, and you can get full points by completing this assignment, I’m just curious.) Question 2: Define each of these terms in your own words: Annual return, total return, stock, bond, cash investments, mutual fund, liquidity, capital gain, dividend, and current yield. (***I know it seems like a lot, but you’ll need to know each of these terms to do your homework, so by completing this problem well, you’ll have a list of definitions that make sense you already on hand that you can reference.***) Question 3: Here are four formulas included in this section: Annual interest payment / current price of bond A-P x 100% P A = PMT x ((1 + APR/n)nY – 1) / (APR/n) (A/P)(1/Y) – 1 (answer given as decimal) Identify what each one helps you calculate and what each of the variables represent. (“x” indicates multiplication) Question 4: Suppose you have an extremely generous family and receive a gift of $5000 after your high school graduation. You decide to invest all of it right before you begin your 4-year college degree, hoping you can use it to pay for the first year of graduate school. Once you graduate college, you find you have $12,000 in the account. Calculate BOTH your total return and annual return. (Show work) Question 5: From Q4, interpret what each of those values tell you about how your money grew in the account over the years. Question 6a: Find the savings plan balance if you deposit $500 every two months for 6 years into an account with an APR of 2%. (Show your work) Question 6b: How much did you deposit over the 6 years? (Show work) Question 6c: Determine BOTH your total return and your annual return. (Show work and round annual return to 6 decimal places) Question 6d: Using the formula from last section for compound interest and the annual interest rate from Q6c, calculate again how much you’d have in the savings account. Is your answer the same as what you calculated in Q6a? (Show work) Question 7: In reference to bonds, in your own words describe what the difference is between face value and coupon value? Question 8: What are “points” in reference to bonds? If a bond has a face value of $1000 and is quoted at 110 points, how much is the bond selling for? (show work) Alternate Recitation Assignment Math 105-76 Week 7 of Recitation/Week 8 of classes Please read the directions. Since I already went over content for your next homework in the recitation last week, I just want to use this recitation to recap information that was on Project 3. I want to make sure everyone understands what they did wrong and knows how to get the right answers for the ones they missed. So, for recitation this week, everyone will fall into 1 of the following 3 categories: 1) You received 85% or higher on Project 3. 2) You submitted an assignment for Project 3 but received less than 85%. 3) You did NOT submit an assignment for Project 3. Please determine which category you fall into and ONLY DO THE ASSIGNMENT FOR YOUR RESPECTIVE CATEGORY. (A complete and thoughtful answer in any category will result in full credit. Just show me you’re putting in effort.) Category 1: Review any feedback I gave on your assignment. Please elaborate on your study habits leading up to Project 3, what you referenced/used to complete the assignment, how much time your spent competing it and explain what you personally think contributed the most to your success on it. You may also use this space to let me know if you don’t understand some of my feedback on your project. Category 2: Review any feedback I gave on your assignment. Choose 5 problems that you received little to no credit on and explain why your answers and/or processes for each is incorrect*. Rework the problems to get the correct answer. (Show your work.) *I left brief feedback and a solution for each wrong answer, but please email/text me if you would like more assistance understanding how you went wrong and how/why the solution I left is correct. Category 3: Explain why you did not turn anything in. Please be honest: let me know if you’ve got something going on in your life outside of school or if you forgot about it or if you just did not feel confident enough in the material to submit anything. Alternate Recitation Assignment Math 105-76 Week 8 of Recitation/Week 9 of classes Question 1: Why did you choose to do the alternate assignment instead of attending recitation? (It’s not required to attend, and you can get full points by completing this assignment, I’m just curious.) Question 2: Define installment loans in your own words and state the formula to determine the payment amount for an installment loan. Question 3a: Calculate how much you’d need to pay monthly to pay off a loan of $2,500 with an APR of 6% in 10 years. (Show your set up, round to the nearest cent, but DO NOT round until the end.) Question 3b: What is the total amount you paid over the 10 years? (Show your set up.) Question 3c: What percentage of that total was paid toward interest? (Show your set up.) Question 3d: What would your monthly payments be if you only took 5 years to pay it off? (Show your set up.) Question 3e: What is the total that you would have paid over the 5 years? (Show your set up.) Question 4: Suppose one of your friends gives you advice on the best way to take out an installment loan, saying that it works in your favor to take the longest possible time to pay it off so that your payments per month are very low. What do you think about their advice? Would you take it? Question 5: What is the difference between fixed rate mortgages and adjustable rate mortgages? Discuss some pros and cons of each. Question 6: True or False: In the first few years of a mortgage, most of the payments do not actually go toward paying off the principal. If true, then what are the payments going toward?
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

I have attached the solutions with explanations for all the worksheets, with the four worksheet being excluded as discussed. Be aware of the questions that are answered with "(Opinion-based)" as those require your input. If there are any further questions or other topics that I can assist you with, just let me know and I'll be glad to assist you at any time :).

Solutions for Week 4 of Recitation/Week 5 of classes
Question 1: Why did you choose to do the alternate assignment instead of attending recitation?
(It’s not required to attend, and you can get full points by completing this assignment, I’m just
curious.)
(Opinion based)

Question 2: True or False. When creating a budget, it only really matters that you include the
biggest expenses like rent, utilities, and gas. Explain your reasoning behind choosing your
answer.
False. When creating a budget, all the components and aspects matter, including the expenses
that take up only a small fraction of the budget. Despite being a small area of the budget, other
expenses such as clothing, food, and online streaming services can eventually add up in the
near future that can eventually sum up to the expense of the biggest expenses. Thus, when
creating a budget, all expenses that you make matter.

Question 3: Suppose you get a $5 footlong (assume 6% sales tax) from Subway for lunch once
a week for a month and you also pay $8/month for Netflix. Calculate your monthly Subway
expense and determine what percentage the Subway expense is of your monthly Netflix
expense. Be sure to show your work or explain your steps. (assume 1 month = 4 weeks)
One footlong =
Since, we buy 1 footlong once a week for one, we’ll use conversion factors to solve for the
amount of money we pay at Subway in a given month:

So, we pay $21.20 per month for Subway sandwiches.
For Netflix, one month of subscription is worth $8.
Thus, we can now find the percentage of the Subway expense if of the monthly Netflix expense.
The following formula is used:

We solve for x:

Thus, the Subway expense is 265% of the monthly Netflix expense.

Question 4: If every month for 2 years you accumulate about $80 in credit card debt with a card
company that has a 13% annual interest rate, when you go to pay off the card at the end of the
second year, how much will you owe? (Round to the nearest cent) Show or explain your work.
First, we find the amount of credit card debt that we would have in a year:

We have $960 in credit card debt in a year. Now, we can calculate the amount after the first
year, using the annual interest rate:

Next, we add the $960 annual debt to our amount and calculate the amount again using the
annual interest rate:

You will owe $2.310.62 at the end of the second year

Question 5: From Q4, how much of what you owe the end of the 2 years is interest? (express
as a dollar amount AND as a percentage). The percentage is not 13% the annual interest rate,
why?
Let’s calculate the interest from the two years:
Year 1:
Year 2:

Now, let’s add these values and divide them by the total debt after two years:

The amount of interest is $390.62.
The interest is 16.9% of what you owe after 2 years.
The percentage is not 13% the annual interest rate because the money is compound, where the
money does not grow in a linear pattern, but instead an exponential pattern. The formula for
compound interest is:
Where n is the number of years and i is the interest rate

Question 6: Suppose you have a car that gets terrible gas mileage and requires that you put
premium in it, costing you $300 per month on gas. You find a used car that gets better gas
mileage and only requires unleaded. You calculate that driving the same distance in this car will
only cost you $100 per month on gas. If the car is $5000, how many months before this more
fuel-efficient car will pay for itself? Be sure to show your equation that you set up for this.
Car 1:

Car 2:

Car 2 is also $5,000
To calculate the time in which the car will pay for itself, we divide the price of the car by the
amount of gas payment per month:

It will take 50 months before the more fuel-efficient car pays for itself.

Question 7: Your friend tells you that she doesn’t budget because she has a credit card and
whatever she doesn’t have enough to cover at the end of the month, she can just charge to the
card. Do you think your friend is making a wise decision? If not, what advice/warnings would
you give her?

The friend is clearly not making the wise decision because the friend still has to pay the
amount owed to the card, otherwise the card is charged monthly and annual interest, which will
exponentially increase the amount owed over time. Therefore, it would rather be wise to use
budgeting, since the friend would be able to manage her expenses to avoid paying an amount
that may be harder to pay in the near future.

Question 8: Before studying this section, how important did you consider monitoring your
finances and what did you consider was the most important task to be able to keep them in
check?
(Opinion based)

Question 9: Did anything shock you when working through the content of this section? If not,
where or how did you learn to be financially aware?
(Opinion based)


Solutions for Week 6 of Recitation/Week 7 of classes
Question 1: Why did you choose to do the alternate assignment instead of attending recitation?
(It’s not required to attend, and you can get full points by completing this assignment, I’m just
curious.)
(Opinion-based)

Question 2: Define each of these terms in your own words: Annual return, total return, stock,
bond, cash investments, mutual fund, liquidity, capital gain, dividend, and current yield. (***I
know it seems like a lot, but you’ll need to know each of these terms to do your homework, so
by completing this problem well, you’ll have a list of definitions that make sense you already on
hand that you can reference.***)











Annual return is the yearly return, or amount, that one gets from an investment over a
certain period of time
Total return is the total amount that one gets from an investment over a period of time
Stock is an investment that represents a partial ownership of a company
Bond is a loan issued by the government that pays a person a fixed rate of return over a
certain period of time
Cash investments are investments in the short term that provides return in the form of
interest payments
Mutual fund is an investment where investors pool their money together to buy stocks,
bonds, and/or securities
Liquidity is the ease in which money or other assets can be acquired
Capital gain is an increase in the vale of assets
Dividend is the amount of money that shareholders are paid for holding onto a share of
a stock
Current Yield is an investment’s annual income divided by current price of the stock or
security

Question 3: Here are four formulas included in this section:
Annual interest payment / current price of bond
A-P / P x 100%
A = PMT x ((1 + APR/n)nY – 1) / (APR/n)
(A/P)^(1/Y) – 1 (answer given as decimal)
Identify what each one helps you calculate and what each of the variables represent. (“x”
indicates multiplication)

This formula helps to calculate for the percentage of total return:




A is the final stock price
P is the initial stock price

This formula is used to calculate for savings balance:
● A is the total balance
● PMT is the regular payment amount
● APR is the annual percentage rate
● N is the periods the payment is paid per year
● Y is the number of years

This formula is used to calculate for the amount of annual return:
● A is the final stock price
● P is the initial stock price
● Y is the number of investment years

Question 4: Suppose you have an extremely generous family and receive a gift of $5000 after
your high school graduation. You decide to invest all of it right before you begin your 4-year
college degree, hoping you can use it to pay for the first year of graduate school. Once you
graduate college, you find you have $12,000 in the account. Calculate BOTH your total return
and annual return. (Show work)
Total return:

The total return is 140%
Annual return:

The annual return is 0.24.

Question 5: From Q4, interpret what each of those values tell you about how your money grew
in the account over the years.
The total return shows me that, along with interest and capital gains, I have gained 140% of the
$5,000 that was initially invested. The annual return shows me that the $5,000 that was invested
had increased an average of 24% in each year.

Question 6a: Find the savings plan balance if you deposit $500 every two months for 6 years
into an account with an APR of 2%. (Show your work)

The $500 is deposited 6 times a year (12 months / 2 months = 6), so n=6

The savings balance after six years is $19,090.78.

Question 6b: How much did you deposit over the 6 years? (Show work)
$500 is deposited every month:

$18,000 is deposited over the 6 years.

Question 6c: Determine BOTH your total return and your annual return. (Show work and round
annual return to 6 decimal places)
Total return:

The total return is 6.06%.
Annual return:

The annual return is 0.00985.

Question 6d: Using the formula from last section for compound interest and the annual interest
rate from Q6c, calculate again how much you’d have in the savings account. Is your answer the
same as what you calculated in Q6a? (Show work)
Compound interest:

Using compound interest, the total balance will be $20,290.89, which is greater than the
previous amount calculated using the savings balance formula.

Question 7: In reference to bonds, in your own words describe what the difference is between
face value and coupon value?



Face value is the amount of the bond’s price when it was first created
Coupon value shows the total amount of yearly interest paid to the bondholder

Question 8: What are “points” in reference to bonds? If a bond has a face value of $1000 and is
quoted at 110 points, how much is the bond selling for? (show work)
“Points” represent the fraction or piece of the face value of the bond that is being traded.
110 points points means 110% of the face value:

The bond is selling for $1,100.


Solutions for Week 8 of Recitation/Week 9 of classes:
Question 1: Why did you choose to do the alternate assignment instead of attending recitation?
(It’s not required to attend, and you can get full points by completing this assignment, I’m just
curious.)
(Opinion based)

Question 2: Define installment loans in your own words and state the formula to determine the
payment amount for an installment loan.
Installment loans are loans that are repaid regularly or at fixed intervals of time. The formula for
installment loans is:

Where:
● A is the total loan amount
● P is the loan payment, either monthly or annual
● APR is the annual interest rate
● N is the number of periods of the loan
● Y is the number of years

Question 3a: Calculate how much you’d need to pay monthly to pay off a loan of $2,500 with
an APR of 6% in 10 years. (Show your set up, round to the nearest cent, but DO NOT round
until the end.)

To pay off the loan of $2,500, one would need to pay $27.76 per month in 10 years.

Question 3b: What is the total amount you paid over the 10 years? (Show your set up.)

The total amount paid over the 10 years would be equal to $3,331.20.

Question 3c: What percentage of that total...


Anonymous
Really useful study material!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags