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- Suppose an investment account is opened with aninitial deposit of 10,500 earning 6.25 interest,compounded continuously. How much will theaccount be warm after 25 years?A young person opens an investment plan in which intrest is compounded continously and additions to the account and deposited continously at age 27 with an inital deposit of $2000 and make deposits in a conintous manner of $1500 per year thereafter. Assuming a constant intrest rate of 7% what will be the balancw when he reaches 65. Use modelling of first order diffrentiavesA stock who just declared a dividend of ₱2/share is currently valued at ₱60/share. The firm is anticipated to grow by 10% every year starting this year for the next 5 years, and then constantly from then on. Given this information and that required rate of return for the stock is 8%, what is the assumed rate for the firm?
- A shirt factory has just installed a boiler that will last for 35 years. It is expected that there will be no maintenance expenses until the end of the 11th year when P 4,000 is spent for maintenance and will continue in the succeeding years until the boiler is scrapped at the end of 35 years. What sum of money is set aside now at 6% compounded continuously will take care of all the maintenance of the boiler?An athlete signs a contract that guarantees a $10-million salary 5 yr from now. Assuming that money can be invested at 6.8% with interest compounded continuously, what is the present value of that year's salary?A quantity with an initial value of 870 decays continously at a rate of 0.75% per day. What is the value of the quantity after 10 weeks, to the nearest hundredth?
- An initial amount of $1200 is invested in an account at an interest rate of 4% per year, compounded continuously. Assuming that no withdrawals are made, find the amount in the account after five years. Do not round any intermediate computations, and round your answer to the nearest cent.Suppose you deposit 3 000 at a 6% interest compounded continuously. What will the Average value of your account during the first 3 years be?Use differential approximations to estimate the increase in sales that will result by increasing the advertising budget from $10,000 to $10,417. Round to the nearest integer. $ screenshot attached
- The returns from an investment are 4% in Year 1, 7% in Year 2, and 10.8% in the first half of Year 3. Calculate the annualized return for the entire period. (Round your intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)A bank account earns 12% interest, compounded continuously, and has an initial balance of zero.Money is deposited into the account at a constant rate of R25 000 per year.A manufacturer buys a machinery for £56444 and places it in production in exactly 3 quarter-years from the time of purchase. Once in production, it can generate a net income payable continuously at the rate of £4028 per quarter-year for the first 8 years and of £17941 per year for the remaining 5 years until it is sold for £6267. Assuming an effective rate of interest of 1.2% per quarter-year is applicable for the entire period, calculate the net present value of the project in £s (correct answer=102757.62, using formulas no tables)