Sorry there are so many questions... I missed class when we went over this. This is my LAST math homework EVER! Please help me :( I prefer if answers are on a separate page than explanation. Thanks in advance!
5.2.3-BE Two thousand dollars is deposited into a savings account at 5.5% interest compounded continuously. (a) What is the formula for A(t), the balance after t years? (b) What differential equation is satisfied by A(t), the balance after t years? (c) How much money will be in the account after 9 years? (d) When will the balance reach $4000? (e) How fast is the balance growing when it reaches $4000? (a) A(t) =5.2.5-BE An investment earns 4.9% interest compounded continuously. How fast is the investment growing when its value is $7000? The rate of growth is $ per year.5.2.7-BE A company invests $10,000 in a CD that earns 7% compounded continuously. How long will it take for the account to be worth $35,000? The account will be worth approximately $35,000 in about years. (Do not round until the final answer. Then round to the nearest tenth as needed.)5.2.10-BE A famous painting was sold in 1948 for $21,770. In 1982 the painting was sold for $30.3 million. What rate of interest compounded continuously did this investment earn? As an investment, the painting earned an interest rate of %. (Round to one decimal place as needed.)5.2.11-BE How many years are required for an investment to double in 1value if it is appreciating at the role of 4% compounded continuwsly'? A1496 compounded continuously, the investment doubles in D years. {Round to one decimal place es needed.) 5.2.13-BE At what interest rate compounded continuously must money be invested to triple in 9 years? A rate of % is required for money to triple in 9 years. (Do not round until the final answer. Then round to the nearest tenth as needed.)5.2.21-BE How much money must you invest now at 4.6% interest compounded continuously in order to have $10,000 at the end of 5 years? You must invest $ (Round to the nearest cent as needed.)5.2.23-BE Question Help Investment A is currently worth $47,600 and is growing at the rate of 13% per year compounded continuously. Investment B is currently worth $40,000 and is growing at the rate of 14% per year compounded continuously. After how many years will the two investments have the same value? The investments will have the same value after years. (Do not round until the final answer. Then round to the nearest tenth as needed.)5.2.27-BE The function A(t) gives the balance in a savings account after t years with interest compounded continuously. The graphs of A(t) and A (t) are shown to the right. AA(t) 1000- a) What is the approximate balance after 20 years? Choose the correct answer below. O A. $750 O B. $500 O C. $10 500- O D. $250 25 50 20 TA'(t) 10- 25 50The function A(t) gives the balance in a savings account after t years with interest compounded continuously. The graphs AA(t) of A(1) and A'(t) are shown to the right. 1000- a) What is the approximate balance after 20 years? Choose the correct answer below. O A. $750 B. $500 500- O C. $10 O D. $250 b) About how fast is the balance increasing after 20 years? Choose the correct answer below. 0- O A. $500/year O B. $5/year 25 50 O C. $20/year D. $10/year c) Use the answers to parts a) and b) to determine the interest rate. 20 JA'(t) The interest rate is % 10- 25 50
