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If $3500 is invested in an account earning 11% annual interest compounded continuously, then the number...
an account at an interest rate r compounded conltinuously, then the amount A (caled the future value of P) in the a...
an account at an interest rate r compounded conltinuously, then the amount A (caled the future value of P) in the account t years from now wil be A P Solving the equation for P, we get PrAcft, In this formulation, Pis called the present value of the investment. (a) Find the present value of $400,000 at 6% compounded continuously for 25 years (b) Find the interest rate compounded continuously that is needed to have $40,000 be the present value...
18. Suppose $6,000 is invested in an account at an annual interest rate of 4.5% compounded...
18. Suppose $6,000 is invested in an account at an annual interest rate of 4.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in Answer size?
For the following amount at the given interest rate compounded continuously, find (a) the future value...
For the following amount at the given interest rate compounded continuously, find (a) the future value after 5 years, (b) the interest earned, and (c) the time to reach $17,000. $5300 at 3.6% a. The future value after 5 years is approximately $. (Do not round until the final answer. Then round to the nearest cent as needed.) b. The interest earned is. (Do not round until the final answer. Then round to the nearest cent as needed.) c. The...
How much will $100 grow to if invested at a continuously compounded interest rate of 7.75%...
How much will $100 grow to if invested at a continuously compounded interest rate of 7.75% for 9 years? (Do not round intermediate calculations. Round your answer to 2 decimal places.) How much will $100 grow to if invested at a continuously compounded interest rate of 9% for 7.75 years? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
You deposit $8000 in an account earning 5% interest compounded continuously. The amount of money in...
You deposit $8000 in an account earning 5% interest compounded continuously. The amount of money in the account after t years is given by A(t)- 8000e0.06. How much will you have in the account in 3 years? SL Round your answer to 2 decimal places. How long will it be until you have $13300 in the account? decimal places. years. Round your answer to 2 How long does it take for the money in the account to double? decimal places....
18. Suppose $2,900 is invested in an account at an annual interest rate of 6.6% compounded...
18. Suppose $2,900 is invested in an account at an annual interest rate of 6.6% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size? Answer: 19. Let f(x) = x2 - 10x + 18. (a) Find the vertex. Answer: (b) State the range of the function. Answer: (c) On what interval is the function decreasing? Answer:
An investment pays 5% interest compounded continuously. If money is invested steadily at the rate of...
An investment pays 5% interest compounded continuously. If money is invested steadily at the rate of $14,000, how much time is required until the value of the investment reaches $140,000? The amount of time required is approximately years. (Type an integer or decimal rounded to the nearest hundredth as needed.)
8. $1000 is invested in a saving account with an annual interest rate 4%. Find the...
8. $1000 is invested in a saving account with an annual interest rate 4%. Find the balance of the account after 15 years in the following situations (round each answer to its nearest 100th): (i) The interest is compounded annually. (ii) The interest is compounded monthly. (iii) The interest is compounded continuously.
An amount of $1500 is invested at an interest rate of 7.8 % compounded continuously. What...
An amount of $1500 is invested at an interest rate of 7.8 % compounded continuously. What will the final value of this investment be after 30 years? The correct formula to calculate the final value is O A. P=1500 e -(0.078)(30) OB. P= 1500(1 +0.078,30 OC. P = 1500(1 +0.078) - 30 OD. P=1500 e (0.078(30) O E. None of the above The investment will be worth $ after 30 years. (Round to the nearest cent as needed.)
if $2000 is deposited into an account earning 8% interest compounded continuously, what is the value...
if $2000 is deposited into an account earning 8% interest compounded continuously, what is the value of the account after 5 years?
an account at an interest rate r compounded conltinuously, then the amount A (caled the future value of P) in the account t years from now wil be A P Solving the equation for P, we get PrAcft, In this formulation, Pis called the present value of the investment. (a) Find the present value of $400,000 at 6% compounded continuously for 25 years (b) Find the interest rate compounded continuously that is needed to have $40,000 be the present value...
18. Suppose $6,000 is invested in an account at an annual interest rate of 4.5% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in Answer size?
For the following amount at the given interest rate compounded continuously, find (a) the future value after 5 years, (b) the interest earned, and (c) the time to reach $17,000. $5300 at 3.6% a. The future value after 5 years is approximately $. (Do not round until the final answer. Then round to the nearest cent as needed.) b. The interest earned is. (Do not round until the final answer. Then round to the nearest cent as needed.) c. The...
You deposit $8000 in an account earning 5% interest compounded continuously. The amount of money in the account after t years is given by A(t)- 8000e0.06. How much will you have in the account in 3 years? SL Round your answer to 2 decimal places. How long will it be until you have $13300 in the account? decimal places. years. Round your answer to 2 How long does it take for the money in the account to double? decimal places....
18. Suppose $2,900 is invested in an account at an annual interest rate of 6.6% compounded continuously. How long (to the nearest tenth of a year) will it take the investment to double in size? Answer: 19. Let f(x) = x2 - 10x + 18. (a) Find the vertex. Answer: (b) State the range of the function. Answer: (c) On what interval is the function decreasing? Answer:
An investment pays 5% interest compounded continuously. If money is invested steadily at the rate of $14,000, how much time is required until the value of the investment reaches $140,000? The amount of time required is approximately years. (Type an integer or decimal rounded to the nearest hundredth as needed.)
8. $1000 is invested in a saving account with an annual interest rate 4%. Find the balance of the account after 15 years in the following situations (round each answer to its nearest 100th): (i) The interest is compounded annually. (ii) The interest is compounded monthly. (iii) The interest is compounded continuously.
An amount of $1500 is invested at an interest rate of 7.8 % compounded continuously. What will the final value of this investment be after 30 years? The correct formula to calculate the final value is O A. P=1500 e -(0.078)(30) OB. P= 1500(1 +0.078,30 OC. P = 1500(1 +0.078) - 30 OD. P=1500 e (0.078(30) O E. None of the above The investment will be worth $ after 30 years. (Round to the nearest cent as needed.)
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