The simple interest for an investment is jointly proportional to the time and the principal. After one quarter (3 months), the interest on a principal of $5000 is $43.75 a) Write an equation relating the interest ,principal and time b) Find the interest after three quarters
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1) The simple interest for an investment is jointly proportional to the time and the principal. After one quarter (3 months), the interest on a principal of $5000 is $43.75 a) Write an equation relating the interest ,principal and time b) Find the interest after three quarters 2) The Kinetic energy E of an object varies jointly with the object mass m and the square of the object velocity v .An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules . a) Write an equation relating the interest ,principal and time b) What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
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- Consider an initial investment of $100 using an accumulation function which is a second-degree polynomial. You are given that the future values of this investment at the end of six months and the first year are $120 and $150, respectively. Determine the present value of 100$ which is paid at time -15.Assume that at the beginning of the year, you purchase an investment for $6,300 that pays $130 annual income. Also assume the investment's value has increased to $6,900 by the end of the year. a. What is the rate of return for this investment? Note: Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places. Rate of return % b. Is the rate of return a positive or a negative number? Positive NegativeAssume that at the beginning of the year, you purchase an investment for $6,500 that pays $95 annual income. Also assume the investment's value has increased to $7,050 by the end of the year. a. What is the rate of return for this investment? Note: Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places.
- Assume that at the beginning of the year, you purchase an investment for $7,200 that pays $100 annual income. Also assume the investment's value has decreased to $6,800 by the end of the year. (a) What is the rate of return for this investment? (Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places.) Rate of return % (b) Is the rate of return a positive or negative number? Positive O NegativeAssume the returns from holding an asset are normally distributed. Also assume the average annual return for holding the asset a period of time was 15.3 percent and the standard deviation of this asset for the period was 33.2 percent. Use the NORMDIST function in Excel® to answer the following questions. a. What is the approximate probability that your money will double in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 3 decimal places, e.g., 32.161.) b. What is the approximate probability that your money will triple in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 8 decimal places, e.g., 32.16161616.)For the following exercise, use the compound interest formula, A(t) = P 1 + r n nt , where money is measured in dollars.After a certain number of years, the value of an investment account is represented by the expression 10,950 1 + 0.03 2 24 . How many years had the account been accumulating interest? yr
- You invest B, dollars in an account that draws interest at a monthly rate of r as a decimal, compounded monthly. After t months, the balance in dollars is given by the following. B = B,(1 + r* (a) Let a denote the APR as a decimal. Then the monthly rate as a decimal is equal to a divided by 12. Express the balance in terms of the initial investment, the number of months, and the APR as a decimal. B(t) - (b) Let a denote the APR as a decimal, and let A denote the APR as a percentage. Then a is equal to A divided by 100. Express the balance in terms of the initial investment, the number of months, and the APR as a percentage. B(t) - (c) Note that y years is equivalent to 12y months. Express the balance in terms of the initial investment, the number y of years, and the APR as a percentage. B(y) =Assume the returns from holding an asset are normally distributed. Also assume the average annual return for holding the asset a period of time was 16.3 percent and the standard deviation of this asset for the period was 33.5 percent. Use the NORMDIST function in Excel® to answer the following questions. a. What is the approximate probability that your money will double in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 3 decimal places, e.g., 32.161.) b. What is the approximate probability that your money will triple in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 8 decimal places, e.g., 32.16161616.) a. b. X Answer is complete but not entirely correct. Probability Probability 0.624 % 0.00000200 X %Assume the returns from holding an asset are normally distributed. Also assume the average annual return for holding the asset a period of time was 16.3 percent and the standard deviation of this asset for the period was 33.5 percent. Use the NORMDIST function in Excel® to answer the following questions. a. What is the approximate probability that your money will double in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 3 decimal places, e.g., 32.161.) b. What is the approximate probability that your money will triple in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 8 decimal places, e.g., 32.16161616.) a. b. Probability Probability Answer is not complete. 0.624 % %
- Assume the returns from holding an asset are normally distributed. Also assume the average annual return for holding the asset a period of time was 15.2 percent and the standard deviation of this asset for the period was 33.1 percent. Use the NORMDIST function in Excel to answer the following questions. a. What is the approximate probability that your money will double in value in a single year? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 3 decimal places, e.g., 32.161. b. What is the approximate probability that your money will triple in value in a single year? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 8 decimal places, e.g., 32.16161616. a. Probability b. Probability % %An investment is represented by the equation A(t)=10,250(1+ 0.04/12)120 How many years has the account been accumulating interest?Average Rate of Return, Cash Payback Period, Net Present Value Method for a Service Company Spanish Peaks Railroad Inc. is considering acquiring equipment at a cost of $288,000. The equipment has an estimated life of 10 years and no residual value. It is expected to provide yearly net cash flows of $36,000. The company's minimum desired rate of return for net present value analysis is 12%. Present Value of an Annuity of $1 at Compound Interest Year 6% 10% 12% 15% 20% 1 0.943 0.909 0.893 0.870 0.833 2 1.833 1.736 1.690 1.626 1.528 3 2.673 2.487 2.402 2.283 2.106 4 3.465 3.170 3.037 2.855 2.589 5 4.212 3.791 3.605 3.353 2.991 6 4.917 4.355 4.111 3.785 3.326 7 5.582 4.868 4.564 4.160 3.605 8 6.210 5.335 4.968 4.487 3.837 9 6.802 5.759 5.328 4.772 4.031 10 7.360 6.145 5.650 5.019 4.192 Compute the following: a. The average rate of return, giving effect to straight-line depreciation on the investment. If required, round your answer to one decimal place. 8 X %