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mathematics
contemporary mathematics
Contemporary Mathematics 1st Edition OpenStax - Solutions
Find the present value of the accounts under the following conditions.1. \(A=\$ 1,000,000\), invested at \(5.75 \%\) interest, compounded monthly, for 40 years.2. \(A=\$ 175,000\), invested at \(3.8 \%\) interest, compounded quarterly, for 20 years.
Hajun turns 30 this year and begins to think about retirement. He calculates that he will need \(\$ 1,200,000\) to retire comfortably. He finds a fund to invest in that yields \(7.23 \%\) and is compounded monthly. How much will Hajun need to invest in the fund when he turns 30 so that he can reach
Calculate and interpret the effective annual yield for an investment that pays at a \(7 \%\) interest compounded quarterly.
Calculate and interpret the effective annual yield on a deposit earning \(2.5 \%\) compounded daily.
Isabella decides to deposit \(\$ 5,500\) in a CD but needs to choose between banks that offer CDs. She identifies four banks and finds out the terms of their CDs. Her findings are in the table below.Which bank has the best yield? Bank Interest Rate Smith Bank 3.08% compounded quarterly Park Bank
Mateo works as a union electrician in a suburban area. Monthly, his take home pay is \(\$ 3,375\). He sometimes does small side jobs for family or friends, and averages about \(\$ 300\) per month from these little jobs. His monthly expenses are his mortgage at \(\$ 986.78\), truck payments at \(\$
Maddy works as a mechanical engineer, making \(\$ 6,093.75\) monthly after payroll taxes. Her monthly expenses are her mortgage at \(\$ 1,452.89\), car payments at \(\$ 627.38\), car insurance at \(\$ 179.00\), health insurance at \(\$ 265.00\), utilities at \(\$ 320\), clothing at \(\$ 150\),
Recall Heather's budget from Example 6.49. She decides she wants to buy her own home, which would increase her expenses. Instead of \(\$ 1,050.00\) in rent, she would pay \(\$ 1,240.00\) for her mortgage. Her utilities costs would increase to \(\$ 295.00\) per month. Add these to Heather's budget
Recall Heather's budget from Example 6.49, before she thought of moving. That budget is below. Evaluate Heather's budget using the 50-30-20 budget philosophy. Income Source Amount Expense Amount Nursing $3,765.40 Rent $1,050 Part-time $672.00 Car Payment $489 Student Loan $728 Car Insurance $139
Elijah has finished an apprenticeship and is about to start his first job as an HVAC (heating, ventilation, and air conditioning) tech. He estimates that his net monthly income will be \(\$ 3,263.44\). Apply the \(50-30-20\) budget philosophy to his income to set guidelines for Elijah's budget. How
Fran wants to take a new job but will have to move to an area with a higher cost of living. With her current income, she can use the 50-30-20 budget philosophy. The new job will have a net pay of \(\$ 43,700\) annually. She will still have to pay her car payment of \(\$ 295.00\), her student loans
Brian deposits \(\$ 5,600\) in a savings account that yields \(1.23 \%\) interest compounded annually. If he leaves that deposit in the account and adds nothing new to the account, what will the account be worth in 5 years?
Denise deposits \(\$ 3,500\) in a CD bearing \(2.23 \%\) interest compounded quarterly for 3 years. How much will Denise's CD be worth after those 3 years?
Chuck opens a money market account, and deposits \(\$ 8,500.00\) in the account. It bears \(1.83 \%\) interest compounded quarterly. If he leaves makes no other transactions on the account, how much will be in the account after 3 years?
1. The amount of \(\$ 13,000\) is invested in a savings account. After 10 years the account has \(\$ 15,250.00\). Find the return on investment for this account.2. The amount of \(\$ 6,500\) is deposited in a money market account. After 7 years, the account has \(\$ 7,358.00\). Find the return on
Kelly invests \(\$ 525\) every third month, at the end of the compounding period, into an account bearing \(3.89 \%\) interest compounded quarterly. How much will be in the account after 15 years?
Bemnet saves \(\$ 280\) per month in a savings account bearing \(3.11 \%\) interest compounded monthly. After 20 years, how much does Bemnet have in the account?
Chione decides to put new siding on her house. She finds that it will cost about \(\$ 27,800\). She decides to begin saving for the purchase so that she doesn't take on debt to side the house. How much would Chione need to deposit each quarter in an ordinary annuity that yields \(5.16 \%\)
Maureen invests \(\$ 5,000\) in a bond with a maturity date in 5 years at a fixed coupon rate of \(4.75 \%\). How much is Maureen paid each year and how much does she receive on the maturity date?
Rixie deposits \(\$ 23,000\) in the stock of DEF company. She assumes the stock value to grow though stock price increase and reinvestment of dividends by \(13.8 \%\) compounded annually. How much will her stock be worth in 12 years?
1. Find the percent yield for a stock with a price of \(\$ 37.40\) and an annual dividend of \(\$ 1.60\).2. Find the percent yield for a stock with a price of \(\$ 73.22\) and an annual dividend of \(\$ 2.41\).
Consider the stock table below, and answer the questions based on the table.1. What is the current price for Intel Corp on this date?2. What is the \(52-w k\) high? \(52-w k\) low?3. When is the dividend expected?4. What is its yield?5. What is the earnings per share? Intel Corp. $30.67 0.31 1.02%
Yulia owns 300 shares of stock in YYZ company. It pays \(\$ 1.12\) per share this quarter. How much did Yulia earn this quarter on stock in \(\mathrm{YYZ}\) ?
Ginny buys 200 shares of stock in UUK company for \(\$ 9.76\) per share. At the end of the year, she sells those stocks for \(\$ 10.02\) per share.1. How much money did Ginny make?2. What was her return on investment for that one year?
Aidan decides to invest \(\$ 3,200\) annually in a mutual fund. He expects the fund to have a \(10.8 \%\) interest rate compounded annually. How much will Aidan's mutual fund account have after 15 years?
How much does Aidan need to invest annually in his mutual fund to reach a goal of \(\$ 1,000,000\) in 40 years. He expects the fund to have a \(10.8 \%\) interest rate compounded annually.
Maureen invests \(\$ 5,000\) in a bond with a maturity date in 5 years at a fixed coupon rate of \(4.75 \%\). What is Maureen's return on investment?
Maureen invests \(\$ 5,000\) in a bond with a maturity date in 5 years at a fixed coupon rate of \(4.75 \%\). What is Maureen's annual return on investment?
Rixie deposits \(\$ 23,000\) in the stock of DEF company. After 12 years, her stock is worth \(\$ 108,501.30\).1. What is Rixie's return on investment?2. What is Rixie's annual return?
Pete and Erin want to save for their child's college. They think they will need \(\$ 90,000\) in 14 years. How much should they invest annually in a mutual fund they believe will yield \(9.5 \%\) compounded annually?
Which type of IRA, Roth or traditional, allow deposits before tax, but have earnings that are taxed after the age of \(591 / 2 ?\)
Jameis signs up for his employer-based 401(k). The employer matches any 401 (k) contribution up to \(7.5 \%\) of the employee salary. Jameis' annual salary is \(\$ 72,800\).1. What is the most money that Jamie can deposit that will be fully matched by the company?2. How much total will be deposited
Crystal begins depositing \(\$ 450\) per month from her paycheck each month in her employer-based 401(k) account. The employer matches \(\$ 350\) of each deposit. Crystal expects the return to average \(9 \%\) per year, compounded annually.1. How much will Crystal's account be worth if she keeps
Find the interest to be paid for the period on loans with the following remaining principal and given annual interest rate. Each period is a month.1. Remaining principal is \(\$ 56,945\), interest rate is \(7.5 \%\)2. Remaining principal is \(\$ 25,850\), interest rate is \(2.9 \%\)
In the following, calculate the payment necessary to pay off the loan with the given details. The payments are monthly.1. A home improvement loan taken out for \(\$ 17,950\) at an annual interest rate of \(7.5 \%\) for 10 years.2. A solar panel installation loan taken out for \(\$ 33,760\) and an
Using the partial amortization table below, answer the following questions.1. What is the loan amount (principal), the interest rate, and the term of the loan?2. How much is the monthly payment?3. How much remaining balance is there after the payment in month 20 ?4. How much was the interest in
Samantha takes out a \(\$ 28,000\) loan for 6 years at \(5.5 \%\) interest. When she took out the loan, she paid \(\$ 4,937.18\) in interest, an origination fee of \(\$ 1,400\) and an application fee of \(\$ 100\). What was her cost of finance for this loan?
Yuan-Teng receives his award and tuition letter from the college he wants to attend. His tuition, fees, books, and room and board all come to \(\$ 34,845\) for the year. His non-loan awards include an instant scholarship from the school for \(\$ 17,500\), three scholarships he earned from sources
Tiana in an independent college student entering the sixth and final year of her engineering program. In the previous years, she took out student loans of \(\$ 5,500, \$ 8,470, \$ 10,000, \$ 7,890\), and \(\$ 11,900\). She needs a loan to finish her final year. How much in federal subsidized and
Makenzy receives her award and tuition letter from the college she wants to attend. Her tuition, fees, books, and room and board all come to \(\$ 39,200\) for her third year. Her non-loan awards include an instant scholarship from the school for \(\$ 19,500\), three scholarships she earned from
Priya takes out unsubsidized student loan, in August, in her first year of college for \(\$ 2,000\). She manages an interest rate of \(7 \%\). She graduates after her sixth year of college, in May. She does not pay the interest on the loan during her time in college. What is the balance of her
Find the payment for the following student loans using the standard repayment plan:1. Loan is \(\$ 7,800\), interest is \(4.99 \%\)2. Loan is for \(\$ 11,450\), interest is \(7.75 \%\)
Kathleen has an unsubsidized student loan from graduate school. She begins to pay it back in the September after she earned her doctorate. The balance at that point was \(\$ 22,666.21\). The interest rate on the loan is \(6.7 \%\). How much are her payments if she pays it off in the standard of 10
Ryann has five federal student loans that he wishes to consolidate. He wants to extend the term to 15 years. How does this impact Ryann's interest rate? The total Ryann pays back?
Brian consolidates his federal student loans into one loan at \(4.99 \%\). The consolidated balance is \(\$ 20,340\), and he extends the term to 12 years. What are Brian's monthly payments for the consolidated loan?
The poverty guideline for two-person household in Hawaii is \(\$ 21,060\). If Jamie lives in a two-person household and has a gross income of \(\$ 36,900\), what is his discretionary income?
1. Which type of credit card typically have the highest interest rates?2. What should be considered other than interest rate when selecting a card?3. Which type of cards typically have high annual fees?
Referring to the statement above, answer the following:1. What is the statement period?2. What is the credit limit?3. How much in fees were charged?
The billing cycle goes from June 1 to June 30 . The previous month's balance is \(\$ 563.80\). The transactions are in the table below.Find the average daily balance for this credit card. Date Activity Amount 1-Jun Balance $563.80 2-Jun Gasoline $47.50 2-Jun Groceries $63.42 15-Jun Movie $38.75
Compute the interest charged for the credit card based on the given average daily balance (ABD), annual interest rate, and number of days in the billing cycle.1. \(A D B=\$ 2,135.00\), annual interest rate \(12.9 \%\), billing cycle of 30 days 2. \(A D B=\$ 1,589.63\), annual interest rate \(9.99
Find the balance on the credit card with the given interest charge and balance before interest was charged. The cards were not paid off previously.1. Balance before interest is \(\$ 560.00\), interest charge is \(\$ 6.44\)2. Balance before interest is \(\$ 3,218.00\), interest charge is \(\$ 49.17\)
Angel's credit card charges \(16.9 \%\) annual interest. His current billing period is from August 1 to August 31 . The balance on August 1 was \(\$ 982.45\). Use Angel's following transactions to determine his balance due at the end of the billing cycle. Date Activity Amount Billing Date Balance
The CLH credit card company has the following minimum payment policy. For balances over \(\$ 1,000\), the minimum payment is \(1 \%\) of the balance due plus interest and fees. For balances between \(\$ 25.00\) and \(\$ 999.99\), the minimum payment is \(\$ 25.00\) plus any fees. For balances under
Luther negotiates for the price of his car, reaching agreement at \(\$ 28,975\). He needs to pay \(8 \%\) in sales tax, \(2.1 \%\) in ownership tax, a \(\$ 950\) destination fee, processing fees totaling \(\$ 370\), and registration fee of \(\$ 617\). What is the total cost for Luther's purchases
Carlos buys a car with a negotiated price of \(\$ 36,250\). The sales tax in his region is \(6.5 \%\). The dealer charges a \(\$ 1,200\) destination fee and a \(\$ 450\) documentation fee. He must pay for title, registration, and license plates, which come to \(\$ 21.50\). If he has a \(\$ 7,500\)
In the following, calculate the monthly payment using the given total to be financed, the interest rate, and the term of the car loan.1. Total to be financed is \(\$ 18,325\), interest rate is \(6.75 \%\), for 4 years.2. Total to be financed is \(\$ 41,633\), interest rate is \(3.9 \%\), for 6
Calculate the monthly payment for a car loan that has \(\$ 21,845\) being financed at an interest rate of \(6.3 \%\) for 4 years.
RJ wants to lease a Tahoe in Salt Lake City, Utah. Find the total cost of obtaining his lease if he has a \(\$ 5,000.00\) down payment, \(\$ 225\) in acquisition fees, a security deposit of \(\$ 750.00, \$ 500.00\) in disposition fees, and sales tax of \(\$ 4,092\).
The purchase price of a car is \(\$ 27,500\). Its residual price is \(\$ 17,875.00\). What is its monthly depreciation for a 24 -month lease?
1. Find the annual percentage rate if the money factor is \(0.00001208 \overline{3}\).2. Find the money factor if the APR is \(7.9 \%\).
Calculate the lease payments for car with the following price, residual price, length of lease, and money factor or APR.1. Price is \(\$ 38,750\), residual price is \(\$ 18,140.16,36\)-month lease, money factor is 0.000035 .2. Price is \(\$ 45,600\), residual price is \(\$ 21,312.50,24\)-month
1. Christopher does a lot of driving, averaging over 20,000 miles per year.2. John eventually wants to not make car payments.
1. Which component of insurance covers medical bills in the event of an accident?2. Which component of insurance pays for costs to others if you have an accident and are found legally responsible for those damages?
If your car payment is \(\$ 410.86\) per month and your car insurance is \(\$ 2,190\) per year, what is the cost of the car per month when accounting for the insurance?
Natalie needs to budget for her car maintenance. She expects to buy new tires each 5 years, which will cost her \(\$ 390\) to replace them all. Oil changes near her cost \(\$ 59.99\), and she believes she will get one every 3 months. Her inspection costs \(\$ 25\) per year. Wipers for her car cost
Paulo buys a house. His 20 -year mortgage comes to \(\$ 153,899\) with \(4.21 \%\) interest. Find Evan's monthly payments.
Arthur buys a house. Their 15 -year mortgage comes to \(\$ 225,879\) with \(4.91 \%\) interest. If Arthur pays off the mortgage over those 15 years, how much will they have paid in total?
Arthur buys a house. Their 15 -year mortgage comes to \(\$ 225,879\) with \(4.91 \%\) interest. What was Arthur's cost of financing?
Below is a portion of an amortization table for a 30-year, \(\$ 228,320\) mortgage. Use that table to answer the following questions.1. What is the interest rate?2. How much are the payments?3. How much of payment 235 goes to principal?4. How much of payment 215 goes to interest?5. What's the
Destiny decides to purchase a home, with mortgage of \(\$ 159,195.50\) at \(5.75 \%\) interest for 30 years. The assessed value of her home is \(\$ 100,000\). Her property taxes come to \(5.42 \%\) of her assessed value. Destiny also has to pay her home insurance every 6 months, and that comes to
Chloe prepares for her taxes by collecting her W-2 and her 1099-MISC documents. The wages from her regular job were \(\$ 41,780\). She did some freelance work and earned \(\$ 5,500\) from that job. What is Chloe's gross income?
Isabelle's gross income is \(\$ 93,450\). She paid \(\$ 7,840\) in mortgage interest and \(\$ 3,810\) in property taxes. She also donated \(\$ 1,500\) to her favorite charity. What is Isabelle's AGI?
Ammie has an AGI of \(\$ 43,100\). However, \(\$ 3,400\) was a disbursement from her health savings account. What is her taxable income?
Antonio's taxes owed based on his income are \(\$ 3,950\). However, he qualifies for the earned income tax credit of \(\$ 1,925\) and a child tax credit of \(\$ 2,000\). How much does Antonio owe after applying the tax credits?
Ismail owed \(\$ 2,350\) in taxes. He has a child tax credit of \(\$ 2,000\) and an earned income tax credit of \(\$ 1,640\). After applying the tax credit, how much does Ismail owe or how much does he get in a refund?
Arianne earned \(\$ 3,200\) over a 2 -week pay period. How much FICA tax does she pay, and how much of that is for SSI?
Andy earned \(\$ 169,450\) in wages this year. How much in SSI taxes does Andy owe?
Jenna's taxable income is \(\$ 73,500\). Find how much income tax she owes.
Jacob is preparing his taxes. His W-2 from work shows gross income for the year of \(\$ 39,885\). He also has a 1099-INT for a savings account, amounting to \(\$ 378\). Jacob also deposited \(\$ 2,500\) into a tax-deferred retirement plan. He also qualified for \(\$ 2,000\) in child tax credits and
Short-term commitment.Indicate if the advantage listed is for renting or buying a home.
Tax advantage.Indicate if the advantage listed is for renting or buying a home.
Freedom to remodel.Indicate if the advantage listed is for renting or buying a home.
Builds equity.Indicate if the advantage listed is for renting or buying a home.
Cost is lower.Indicate if the advantage listed is for renting or buying a home.
You do not pay for repairs.Indicate if the advantage listed is for renting or buying a home.
No pet restrictions Indicate if the advantage listed is for renting or buying a home.
More flexibility to move.Indicate if the advantage listed is for renting or buying a home.
Housing cost is fixed.Indicate if the advantage listed is for renting or buying a home.
May have other amenities.Indicate if the advantage listed is for renting or buying a home.
Loan amount is \(\$ 78,560\), interest rate is \(5.87 \%, 30\)-year mortgage.Find the mortgage payment for the given loan amount, interest rate, and term.
Loan amount is \(\$ 125,800\), interest rate is \(6.5 \%, 30\)-year mortgage.Find the mortgage payment for the given loan amount, interest rate, and term.
Loan amount is \(\$ 96,400\), interest rate is \(4.9 \%, 15\)-year mortgage.Find the mortgage payment for the given loan amount, interest rate, and term.
Loan amount is \(\$ 267,450\), interest rate is \(5.25 \%, 20\)-year mortgage.Find the mortgage payment for the given loan amount, interest rate, and term.
Loan amount is \(\$ 78,560\), interest rate is \(5.87 \%, 30\)-year mortgage.Find the total paid on the mortgage if it is fully paid through the term.
Loan amount is \(\$ 125,800\), interest rate is \(6.5 \%, 30\)-year mortgage.Find the total paid on the mortgage if it is fully paid through the term.
Loan amount is \(\$ 96,400\), interest rate is \(4.9 \%, 15\)-year mortgage.Find the total paid on the mortgage if it is fully paid through the term.
Loan amount is \(\$ 267,450\), interest rate is \(5.25 \%, 20\)-year mortgage.Find the total paid on the mortgage if it is fully paid through the term.
Loan amount is \(\$ 78,560\), interest rate is \(5.87 \%, 30\)-year mortgage.Find the cost of financing for the mortgages if they are fully paid.
Loan amount is \(\$ 125,800\), interest rate is \(6.5 \%, 30\)-year mortgage.Find the cost of financing for the mortgages if they are fully paid.
Loan amount is \(\$ 96,400\), interest rate is \(4.9 \%, 15\)-year mortgage.Find the cost of financing for the mortgages if they are fully paid.
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