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mathematics
college mathematics for business
Questions and Answers of
College Mathematics For Business
Solve Problem using graphical approximation techniques on a graphing calculator.How long does it take for a $4,800 investment at 8% compounded monthly to be worth more than a $5,000 investment at 5%
In Problem assume that the annual interest rate on a credit card is 19.99% and interest is calculated by the average daily balance method.The unpaid balance at the start of a 30-day billing cycle was
Solve Problem using graphical approximation techniques on a graphing calculator.How long does it take for a $2,400 investment at 13% compounded quarterly to be worth more than a $3,000 investment at
In Problem assume that the annual interest rate on a credit card is 19.99% and interest is calculated by the average daily balance method.The unpaid balance at the start of a 30-day billing cycle was
In Problem assume that the annual interest rate on a credit card is 25.74% and interest is calculated by the average daily balance method.The unpaid balance at the start of a 28-day billing cycle was
In Problem convert the given time period to years, in reduced fraction form, assuming a 360-day year [this assumption does not affect the number of quarters (4), months (12), or weeks (52) in a
In Problem assume that the annual interest rate on a credit card is 25.74% and interest is calculated by the average daily balance method.The unpaid balance at the start of a 28-day billing cycle was
In Problem assume that the annual interest rate on a credit card is 25.74% and interest is calculated by the average daily balance method.The unpaid balance at the start of a 28-day billing cycle was
Many tax preparation firms offer their clients a refund anticipation loan (RAL). For a fee, the firm will give a client his refund when the return is filed. The loan is repaid when the IRS refund is
An Individual Retirement Account (IRA) has $20,000 in it, and the owner decides not to add any more money to the account other than interest earned at 6% compounded daily. How much will be in the
You have saved $7,000 toward the purchase of a car costing $9,000. How long will the $7,000 have to be invested at 9% compounded monthly to grow to $9,000? (Round up to the next-higher month if not
For services rendered, an attorney accepts a 90-day note for $5,500 at 8% simple interest from a client. (Both interest and principal are repaid at the end of 90 days.) Wishing to use her money
In Problem use graphical approximation techniques or an equation solver to approximate the desired interest rate. Express each answer as a percentage, correct to two decimal places.The owner of a
A person deposits $2,000 each year for 25 years into an IRA. When she retires immediately after making the 25th deposit, the IRA is worth $220,000.(A) Find the interest rate earned by the IRA over
A $600 stereo is financed for 6 months by making monthly payments of $110. What is the annual nominal compounding rate for this loan?
A loan company will loan up to 60% of the equity in a home. A family purchased their home 8 years ago for $83,000. The home was financed by paying 20% down and signing a 30-year mortgage at 8.4% for
In Problem use compound interest formula (1) to find n to the nearest larger integer value.A = 2P; i = 0.05; n = ?
In a new housing development, the houses are selling for $100,000 and require a 20% down payment. The buyer is given a choice of 30-year or 15-year financing, both at 7.68% compounded monthly.(A)
(A) A man deposits $2,000 in an IRA on his 21st birthday and on each subsequent birthday up to, and including, his 29th (nine deposits in all). The account earns 8% compounded annually. If he leaves
In Problem use compound interest formula (1) to find n to the nearest larger integer value.A = 2P; i = 0.06; n = ?
A promissory note will pay $27,000 at maturity 10 years from now. How much money should you be willing to pay now if money is worth 5.5% compounded continuously?
A radio commercial for a loan company states: “You only pay 29¢ a day for each $500 borrowed.” If you borrow $1,500 for 120 days, what amount will you repay, and what annual interest rate is the
A couple wishes to borrow money using the equity in their home for collateral. A loan company will loan the couple up to 70% of their equity. The couple purchased the home 12 years ago for $179,000.
How long will it take $42,000 to grow to $60,276 if it is invested at 4.25% compounded continuously?
Two years ago you borrowed $10,000 at 12% interest compounded monthly, which was to be amortized over 5 years. Now you have acquired some additional funds and decide that you want to pay off this
How long will it take $6,000 to grow to $8,600 if it is invested at 9.6% compounded continuously?
If an investor wants to earn an annual interest rate of 6.4% on a 26-week T-bill with a maturity value of $5,000, how much should the investor pay for the T-bill?
How long will it take $4,000 to grow to $9,000 if it is invested at 7% compounded monthly?
How much should a $5,000 face value zero coupon bond, maturing in 5 years, be sold for now, if its rate of return is to be 5.6% compounded annually?
An ordinary annuity that earns 7.5% compounded monthly has a current balance of $500,000. The owner of the account is about to retire and has to decide how much to withdraw from the account each
Your parents are considering a $75,000, 30-year mortgage to purchase a new home. The bank at which they have done business for many years offers a rate of 7.54% compounded monthly. A competitor is
You unexpectedly inherit $10,000 just after you have made the 72nd monthly payment on a 30-year mortgage of $60,000 at 8.2% compounded monthly. Discuss the relative merits of using the inheritance to
A family has a $129,000, 20-year mortgage at 7.2% compounded monthly.(A) Find the monthly payment and the total interest paid.(B) Suppose the family decides to add an extra $102.41 to its mortgage
A business borrows $80,000 at 9.42% interest compounded monthly for 8 years.(A) What is the monthly payment?(B) What is the unpaid balance at the end of the first year?(C) How much interest was paid
If a 50% annual rate is charged, how much interest will be owed on a loan of $1,000 for 30 days?
In Problem use graphical approximation techniques to answer the questions.When would an ordinary annuity consisting of quarterly payments of $500 at 6% compounded quarterly be worth more than a
In order to save enough money for the down payment on a condominium, a young couple deposits $200 each month into an account that pays 7.02% interest compounded monthly. If the couple needs $10,000
How much interest will you have to pay for a 60-day loan of $500, if a 36% annual rate is charged?
A family has a $150,000, 30-year mortgage at 6.1% compounded monthly. Find the monthly payment. Also find the unpaid balance after(A) 10 years (B) 20 years(C) 25 years
In Problem use graphical approximation techniques or an equation solver to approximate the desired interest rate. Express each answer as a percentage, correct to two decimal places.An employee opens
What would the $23,000 car in Problem 25 have cost (to the nearest dollar) 5 years ago if the inflation rate over that period had averaged 5% compounded annually?
In Problem use the given annual interest rate r and the compounding period to find i, the interest rate per compounding period.4.86% compounded semiannually
In Problem use the given annual interest rate r and the compounding period to find i, the interest rate per compounding period.10.95% compounded daily
In Problem use the given interest rate i per compounding period to find r, the annual rate.1.73% per half-year
Find the annual percentage yield on a bond earning 6.25% if interest is compounded(A) Monthly.(B) Continuously.
In Problem use the given interest rate i per compounding period to find r, the annual rate.1.57% per quarter
You have $5,000 toward the purchase of a boat that will cost $6,000. How long will it take the $5,000 to grow to $6,000 if it is invested at 9% compounded quarterly? (Round up to the next-higher
If you buy a computer directly from the manufacturer for $2,500 and agree to repay it in 48 equal installments at 1.25% interest per month on the unpaid balance, how much are your monthly payments?
In Problem use the given interest rate i per compounding period to find r, the annual rate.0.012% per day
In Problem use the given interest rate i per compounding period to find r, the annual rate.0.53% per month
Sun America offered an annuity that pays 6.35% compounded monthly. What equal monthly deposit should be made into this annuity in order to have $200,000 in 15 years?
In order to accumulate enough money for a down payment on a house, a couple deposits $300 per month into an account paying 6% compounded monthly. If payments are made at the end of each period, how
E-Loan offers a 36-month auto loan at 9.84% compounded monthly to applicants with fair credit ratings. If you have a fair credit rating and can afford monthly payments of $350, how much can you
In Problem assume that no new purchases are made with the credit card.The annual interest rate on a credit card is 16.99%. If a payment of $100.00 is made each month, how long will it take to pay off
In Problem use the given interest rate i per compounding period to find r, the annual rate.2.19% per quarter
If you just sold a stock for $17,388.17 (net) that cost you $12,903.28 (net) 3 years ago, what annual compound rate of return did you make on your investment?
The table shows the fees for refund anticipation loans (RALs) offered by an online tax preparation firm. Find the annual rate of interest for each of the following loans. Assume a 360-day year.(A) A
In Problem use the given interest rate i per compounding period to find r, the annual rate.0.008% per day
Starting on his 21st birthday, and continuing on every birthday up to and including his 65th, John deposits $2,000 a year into an IRA. How much (to the nearest dollar) will be in the account on
A company estimates that it will need $100,000 in 8 years to replace a computer. If it establishes a sinking fund by making fixed monthly payments into an account paying 7.5% compounded monthly, how
In Problem assume that no new purchases are made with the credit card.The annual interest rate on a credit card is 24.99%. If a payment of $100.00 is made each month, how long will it take to pay off
In Problem use the given interest rate i per compounding period to find r, the annual rate.3.69% per half-year
In Problem assume that no new purchases are made with the credit card.The annual interest rate on a credit card is 14.99%. If the minimum payment of $20 is made each month, how long will it take to
In Problem assume that no new purchases are made with the credit card.The annual interest rate on a credit card is 22.99%. If the minimum payment of $25 is made each month, how long will it take to
Lincoln Benefit Life offered an annuity that pays 5.5% compounded monthly. What equal monthly deposit should be made into this annuity in order to have $50,000 in 5 years?
Problem refer to the following ads.The ad for a Bison sedan claims that a monthly payment of $299 constitutes 0% financing. Explain why that is false. Find the annual interest rate compounded monthly
In Problem use the given interest rate i per compounding period to find r, the annual rate.0.47% per month
A person wants to establish an annuity for retirement purposes. He wants to make quarterly deposits for 20 years so that he can then make quarterly withdrawals of $5,000 for 10 years. The annuity
If $100 is invested at 6% compounded(A) annually (B) quarterly (C) monthlywhat is the amount after 4 years? How much interest is earned?
Problem refer to the following ads.The ad for a Bison SUV claims that a monthly payment of $399 constitutes 0% financing. Explain why that is false. Find the annual interest rate compounded monthly
If you borrow $4,000 from an online lending firm for the purchase of a computer and agree to repay it in 48 equal installments at 0.9% interest per month on the unpaid balance, how much are your
A company decides to establish a sinking fund to replace a piece of equipment in 6 years at an estimated cost of $50,000. To accomplish this, they decide to make fixed monthly payments into an
If $5,000 is invested at 5% compounded monthly, what is the amount after(A) 2 years? (B) 4 years?
How long will it take money to double if it is invested at 7.5% compounded daily? 7.5% compounded annually?
A sailboat costs $35,000. You pay 20% down and amortize the rest with equal monthly payments over a 12-year period. If you must pay 8.75% compounded monthly, what is your monthly payment? How much
A student receives a student loan for $8,000 at 5.5% interest compounded monthly to help her finish the last 1.5 years of college. Starting 1 year after finishing college, the student must amortize
If you invest $5,650 in an account paying 8.65% compounded continuously, how much money will be in the account at the end of 10 years?
Construct the amortization schedule for a $5,000 debt that is to be amortized in eight equal quarterly payments at 2.8% interest per quarter on the unpaid balance.
A company makes a payment of $1,200 each month into a sinking fund that earns 6% compounded monthly. Use graphical approximation techniques on a graphing calculator to determine when the fund will be
A couple has a $50,000, 20-year mortgage at 9% compounded monthly. Use graphical approximation techniques on a graphing calculator to determine when the unpaid balance will drop below $10,000.
A woman borrows $6,000 at 9% compounded monthly, which is to be amortized over 3 years in equal monthly payments. For tax purposes, she needs to know the amount of interest paid during each year of
A loan company advertises in the paper that you will pay only 8¢ a day for each $100 borrowed. What annual rate of interest are they charging? (Use a 360-day year.)
You can afford monthly deposits of $200 into an account that pays 5.7% compounded monthly. How long will it be until you have $7,000? (Round to the next-higher month if not exact.)
Some friends tell you that they paid $25,000 down on a new house and are to pay $525 per month for 30 years. If interest is 7.8% compounded monthly, what was the selling price of the house? How much
You can afford monthly deposits of only $300 into an account that pays 7.98% compounded monthly. How long will it be until you will have $9,000 to purchase a used car? (Round to the next-higher month
Discuss the similarities and differences in the graphs of future value A as a function of time t if $1,000 is invested at simple interest at rates of 4%, 8%, and 12%, respectively (see the figure).
Discuss the similarities and differences in the graphs of future value A as a function of time t for loans of $400, $800, and $1,200, respectively, each at 7.5% simple interest (see the figure).
A company establishes a sinking fund for plant retooling in 6 years at an estimated cost of $850,000. How much should be invested semiannually into an account paying 8.76% compounded semiannually?
A student receives a federally backed student loan of $6,000 at 3.5% interest compounded monthly. After finishing college in 2 years, the student must amortize the loan in the next 4 years by making
In Problem use graphical approximation techniques or an equation solver to approximate the desired interest rate. Express each answer as a percentage, correct to two decimal places.An employee opens
If you buy a 13-week T-bill with a maturity value of $5,000 for $4,922.15 from the U.S. Treasury Department, what annual interest rate will you earn?
In Problem find i (the rate per period) and n (the number of periods) for each annuity.Semiannual deposits of $900 are made for 12 years into an annuity that pays 7.5% compounded semiannually.
In Problem find i (the rate per period) and n (the number of periods) for each loan at the given annual rate.Quarterly payments of $975 are made for 10 years to repay a loan at 9.9% compounded
In Problem find the indicated quantity, givenFV = $8,000; PMT = ?; i = 0.015; n = 48 (1 + i)" – 1 PMT FV = i
In Problem convert the given interest rate to decimal form if it is given as a percentage, and to a percentage if it is given in decimal form.0.085
In Problem find i (the rate per period) and n (the number of periods) for each annuity.Annual deposits of $2,500 are made for 15 years into an annuity that pays 6.25% compounded annually.
In Problem find the indicated quantity, givenPV = ?; PMT = $2,500; i = 0.02; n = 16 1- (1 + i) PV = PMT – i
In Problem convert the given interest rate to decimal form if it is given as a percentage, and to a percentage if it is given in decimal form.0.137
In Problem find i (the rate per period) and n (the number of periods) for each annuity.Monthly deposits of $235 are made for 4 years into an annuity that pays 9% compounded monthly.
In Problem find i (the rate per period) and n (the number of periods) for each loan at the given annual rate.Semiannual payments of $4,500 are made for 16 years to repay a loan at 5.05% compounded
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