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Economics in engineering
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- 2. What is the balance in an account at the end of 10 years if $25,000 is deposited today and the account earns 4% interest, compounded annually? quarterly?1. An engineer plans to borrow $25,000 to open his own consulting business. He must repay $500 a month for 5 years. What is the nominal annual interest rate (compounded annually)? 2. An engineer is planning a 15 year retirement. She has decided that she will need to withdraw $4,000 each month from her bank account to live. How much money should she have in the bank at the start of her retirement, if the bank pays 0.25% interest per month (compounded monthly)? Hint: There are 15 x 12 compounding periods.Mr. Smith invested $2,500 in a savings account that earns 3% interest compounded annually. He made no additional deposits or withdrawals. Which expression can be used to determine the number of dollars in this account at the end of 4 years? 2500(1+0.03)^(4),2500(1+0.04)^(3) 2500(1+0.3)^(4),2500(1+0.4)^(3).
- Annabelle loaned a certain amount from ABC bank. She agrees to pay P5000 at the beginning of each quarter for 6 years with the interest of 10% compounded quarterly. 1. Find the present worth of her debts. 2. How much still remains unpaid just after she made her 4th payment? 3. How much still remains unpaid just before she made her 12th payment?6. Alex invested a certain amount to a business and promised to pay him back with 1.8 times his original investment. They agreed to have it compounded monthly within 9 years. What is the nominal rate of interest r in percent?27. How much do eight ₱ 64,055 quarterly payments amount at present, if the interest rate is 2 compounded quarterly?
- Annuity 1. What is the current value of a $50 payment to be made at the beginning of each year, for three years if the prevailing rate of interest is 7% compounded annually?You want to start to save for a major purchase. You can invest ₱320 every three months for 3 years and 9 months and you can earn 5.34% compounded quarterly. What is the amount of interest that you make during the entire term? * a. ₱5346.01 b. ₱5275.58 c. ₱951.66 d. ₱964.363. Calculate the future worth of 20 annual $4,000 deposits in a savings account that earns 8% compounded monthly. Assume all deposits are made at the beginning of each year. (a) $196,010 (b) $188,196 (c) $190,162 (d) $199.279
- 1) A child’s grandparents have opened a ₱586702 savings account for the child on the day of her birth. The account pays 1.7% compounded semiannually. The child will be allowed to withdraw the money when she reaches the age of 21. What will the account be worth at that time? Round your answer to 2 decimal places. 2) What simple interest rate (in %) is equivalent to 6.5% compounded quarterly if money is invested for 8 years? Round your answer to 2 decimal places.You want to take a dream vacation in 3.5 years. You plan to save up $5,000 in your vacation sinking fund. Assume an interest rate of 8% compounded annually. How much will you have to save if you make a lump sum deposit to the sinking fund (i) during the year or (ii) at the beginning of the year?3. If you deposit $1000 in an account that pays 5% interest, compounded annually, how much will you have at the end of 10 years? 50 years? 100 years? What if this is compounded Semi annually in 10 years? 50 years? 100 years?
