(LG 3.5) Gwen just bought solar panels to power ventilation at her c farm. The panels cost $2000 and will reduce her electricity bills by $ month. How long will it take her to recoup her investment in the panel:
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- Show the solution of the problem and explain steps on how to solve: Find the nominal rate which is converted quarterly could used instead of 12% compound monthly? (ans. 12.12% ; ie=12.68%)John is a very cost-conscious investor. His rule of thumb is that it costs $300 per year, starting in the first year of vehicle life to maintain an automobile. This expense increases by $300 each year over the life of the car. John is now considering the purchase of a six-year old car with 40,000 miles on it for $7,000. How much money will John have to set aside now to pay for maintenance (as a lump sum) if he keeps this car for seven years? John's interest rate is 4% per year. Click the icon to view the interest and annuity table for discrete compounding when i = 4% per year. John will have to set aside $ to pay for maintenance. (Round to the nearest dollar.)John is a very cost-conscious investor. His rule of thumb is that it costs $300 per year, starting in the first year of vehicle life to maintain an automobile. This expense increases by $300 each year over the life of the car. John is now considering the purchase of a five-year old car with 40,000 miles on it for $6,000. How much money will John have to set aside now to pay for maintenance (as a lump sum) if he keeps this car for seven years? John's interest rate is 7% per year. Click the icon to view the interest and annuity table for discrete compounding when i= 7% per year. John will have to set aside $ to pay for maintenance. (Round to the nearest dollar.) C
- An advertisement of an investment firm states that if you invest ₱500 in their firm today you will get ₱1,000 at the end of 4 years. (Include your solution and upload it in the dropbox provided) a) What nominal rate is implied if interest is compounded quarterly? ANSWER: % b) What interest rate is implied if interest is compounded monthly?Compound interest is a very powerful way to save for your retirement. Saving a little and giving it time to grow is often more effective than saving a lot over a short period of time. To illustrate this, suppose your goal is to save $1 million by the age of 70. What amount of money will be saved by socking away $3,038 per year starting at age 23 with a 7% annual interest rate. Will you achieve your goal using the long-term savings plan? What amount of money will be saved by socking away $20,406 per year starting at age 48 at the same interest rate? Will you achieve your goal using the short-term savings plan? Click the icon to view the interest and annuity table for discrete compounding when i = 7% per year. The future equivalent of the long-term savings plan is $. (Round to the nearest dollar.) CJohn is a very cost-conscious investor. His rule of thumb is that it costs $200 per year, starting in the first year of vehicle life to maintain an automobile. This expense increases by $200 each year over the life of the car. John is now considering the purchase of a four-year old car with 40,000 miles on it for $7,000. How much money will John have to set aside now to pay for maintenance (as a lump sum) if he keeps this car for eight years? John's interest rate is 4% per year. Click the icon to view the interest and annuity table for discrete compounding when i= 4% per year. John will have to set aside $ to pay for maintenance. (Round to the nearest dollar.)
- Suppose that you eam $250 in year 1 and will ean $448 in year 2. If you borrow money against your future income you will have and additional $400 to spend in year 1, and If you lend all of your current income you will have and additional $280 to spend in year 2. In both years you consume only food which costs $1 per kilogram in each year. What is the interest rate that you borrow and lend at? R= F2 where F is the amount of food consumed this F1 Let your MRS for food in year 1 with food in year 2 be given by the formula year and Fo is the amount of food consumed next year. Calculate your consumption bundie: F1 = F2 = %3! Suppose the interest rate at which you can borrow and lend changes to 40%. Calculate your new consumption bundle: %3D Which interest rate is preferred? O The initial interest rate found in part 1 The new interest rate, 40%Mary's job position is being transferred to Lexington Kentucky from Orlando Florida. She and her husband George are currently running their home in Orlando but they have decided they want to purchase a home in Lexington. Mary's annual salary is $48,500. George has been able to find employment in Lexington at a factory making $39,000 per year. Mary is a planner and has saved $6,200 that she can use towards the down payment on the new house. To save the down payment Mary deposited in a savings account monthly earning 2.5 compounded monthly. If it took Mary 5 years to save up the down payment how much money was mary depositing each monthBefore last year, Ellie (Luke's wife) taught music and earned $30,400. She also earned $9,600 by renting out their basement as a studio apartment. Ellie saves every month. At the end of a typical year she would have saved a total of 10% from her wages and the income earned from the basement for the entire year, and earned a total of 0.5% in interest (for the entire year). At the beginning of last year, Ellie stopped teaching music. She also stopped renting out their basement, and began to use it as the office for her new web design business. The balance on her savings account was $150,000, and she took $5,000 from this account to buy a new laptop computer and a new printer (which also functions as a scanner and a facsimile). She also borrowed $12,000 from the local bank to purchase additional machinery and equipment (a graphics tablet, desktop computer, studio camera and an external hard drive). Her loan payment is $250 per month. During last year, she paid $3,000 for the lease of a…
- Please answer only handwrittenThe value of land in Manhattan was around $150 billion in 2008. Imagine that it is 1626 and you are the economic advisor to the Dutch when they are considering whether to buy Manhattan from the Manhasset Indians. Further,assume that the relevant interest rate for calculating the present value is 4%per year. Would you advice the Dutch that a purchase price of $24 is a good deal or not? How would your answer change if the interest rate were 6%? And 8%? (Hint: for each interest rate,calculate the present value in 1626 of the land value as of 2008. Then compare that with the purchase price in 1626. For example, simplify by assuming that the owners collect no rents on the land. As an advanced further question,assume that the rent equals 2% of the value of the land each year.)5