# The amount of money in an account with continuously compounded interest is given by the formula A=Pe^rt , where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest

41,283 results
1. ## Pre-Algebra

Emma is saving money for college. She has \$800 and wants to deposit it into 2 different savings accounts. She decides to deposit \$500.00 into an account, Account IN, which earns 2.5% annual simple interest. She will then deposit \$300 into an account,

2. ## algebra

You deposit \$3000 in an account earning 7% interest compounded continuously. The amount of money in the account after years is given by A(t)=3000 e^(0.07 t) . How much will you have in the account in 5 years? \$ Round your answer to 2 decimal places. How

3. ## Algebra

Find the final amount of money in an account if \$2,600 is deposited at 4% interest compounded annually and the money is left for 7 years.

4. ## algebra

To find the amount A in an account after t years with principal P and an annual interest rate r compounded continuously, you can use the formula

If 7000 dollars is invested in a bank account at an interest rate of 7 per cent per year. A) Find the amount in the bank after 6 years if interest is compounded annually? B) Find the amount in the bank after 6 years if interest is compounded quaterly? C)

6. ## Math

Suppose you deposit \$2000 in an account with an annual interest rate of 7% compounded quarterly. Use the formula A=P(1+r/n)^n*t and round each answer to 2 decimal places, if necessary. a. Find an equation that gives the amount of money in the account after

7. ## Math

If 3000 dollars is invested in a bank account at an interest rate of 6 per cent per year, find the amount in the bank after 12 years if interest is compounded annually Find the amount in the bank after 12 years if interest is compounded quaterly Find the

8. ## Calculus :)

If 8000 dollars is invested in a bank account at an interest rate of 10 per cent per year, find the amount in the bank after 11 years if interest is compounded annually ____ Find the amount in the bank after 11 years if interest is compounded quaterly ____

9. ## math

find the accumulated value of an investment of \$10000 for 5 years at an interest rate of 5.5% if the money is a. compounded semiannually; b. compounded monthly; c. compounded continuously.

10. ## Calculus

Your rich uncle bequests to you a continuous, constant income stream of \$1000 per year for the next 10 years. The terms of the bequest require that this income stream be paid continuously into a specific savings account that will not be available to you

11. ## PRE-CALC

If you put \$2,000 in a savings account that pays 6% interest compounded continuously, how much money will you have in your account in 4 years? Assume you make no additional deposits or withdrawals

12. ## Trig/Pre-Calc

\$2500 is invested in an account at interest rate r, compounded continuously. Find the time required for the amount to (a) double and (b) triple. r=0.085 I know you use the formula A=Pe^rt and you would start by setting it up as follows:

13. ## math

Emma is saving money for college. She has \$800 and wants to deposit it into 2 different savings accounts. She decides to deposit \$500.00 into an account, Account I, which earns 2.5% annual simple interest. She will then deposit \$300 into an account,

14. ## Algebra ASAP

Suppose that \$17,000 is invested in a savings account paying 5.1% interest per year. (a) Write the formula for the amount A in the account after t years if interest is compounded monthly. A(t) = (b) Find the amount in the account after 3 years if interest

15. ## math

If \$8000 is invested in an account for which interest is compounded continuously, find the amount of the investment at the end of 12 years for the following interest rates. a) 2% b) 3% c) 4.5% d) 7%

You invest \$3000 in a savings account where you earn 4% interest compounded continuously a) what is the formula A(t) for the balance after t years? A(t)=3000e^0.04(t) b) How long will it take for the money to double? 6000=3000e^0.04t Is this the correct

17. ## math for connexus

Emma is saving money for college. She has \$800 and wants to deposit it into 2 different savings accounts. She decides to deposit \$500.00 into an account, Account I, which earns 2.5% annual simple interest. She will then deposit \$300 into an account,

18. ## Precalc

Nathaniel invested \$2,900 in an account paying an interest rate of 5.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 11 years?

19. ## Algebra

An initial investment of \$480 is invested for 4 years in an account that earns 16% interest, compounded quarterly. What is the amount of money in the account at the end of the period?

20. ## Math

Emma is saving money for college. She has \$800 and wants to deposit it into 2 different savings accounts. She decides to deposit \$500.00 into an account, Account I, which earns 2.5% annual simple interest. She will then deposit \$300 into an account,

21. ## maths

Gordon Freeman wants to have \$32,000 in 5 years in order to purchase a new car. (a) How much should he deposit today in an account earning 6.4%, compounded quarterly, to have the required amount in 5 years? (b) How much interest will be earned? (c) If he

22. ## differential equation

If P(t) is the amount of dollars in a savings bank account that pays a yearly interest rate of r% compounded continuously ,then dP/dt=(r/100)(P) , t in years . Assume the interest is 5% annually ,P(0)=\$1000 ,and no monies are withdrawn a)how much will be

23. ## Math

An initial amount of \$2900 is invested in an account at an interest rate of 4% per year, compounded continuously. Find the amount in the account after six years. Round your answer to the nearest cent.

24. ## algebra 2

The amount of money in an account with continuously compounded interest is given by the formula A=Pe^rt , where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest hundredth of a year how long it takes

25. ## finance

14. Assume Julian has a choice between two deposit accounts. Account A has an annual percentage rate of 7.55 percent but with interest compounded monthly. Account B has an annual percentage rate of 7.45 percent with interest compounded continuously. Which

26. ## algebra

you deposit 8500 dollars in an account that pays you 3.5 % interest compounded continuously. How long will it take for the money to triple?

27. ## College Algebra

Suppose an investment account is opened with an intial deposit of \$12,000 earning 9.6% interest. Round all answers to the nearest dollar. a. How much will the account be worth after 20 years if it is compounded monthly? \$ b. How much will the account be

28. ## Alg 2

Suppose you deposit a principal amount of p dollars in a bank account that pays compound interest. If the annual interest rate r (expressed as a decimal) and the bank makes interest payments n times every year, the amount of money A you would have after t

29. ## PreCalc

Which investment option will pay the most interest? A. 12.6% compounded annually B. 12.4% compounded semiannually C. 12.2% compounded quarterly D. 12.0% compounded continuously E. These investments all pay the same amount of interest.

30. ## math

The amount of money in an account with continuously compounded interest is given by the formula A = Pert, where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the hundredth of a year how long it takes for an

31. ## calc2

At what constant, continuous annual rate should you deposit money into an account if you want to have \$1,000,000 in 25 years? The account earns 5% interest, compounded continuously. Round to the nearest dollar.

32. ## Investment

invest \$25,000 at 8% interest compounded continuously, what is the average amount in your account over one year?

33. ## algebra 2

What will be the amount in an account with initial principal \$6000 if interest is compounded continuously at an annual rate of 3.25% for 9 years?

34. ## Algebra

Use the compound interest formula \$18,000 is invested in an account paying 3% interest compounded quarterly. Find the amount of money in the account at the end of 10 years. (Show values substituted in the formula, and calculate the numerical amount.)

35. ## Math

Determine how much money will be in a savings account if the initial deposit was \$1000 and the interest rate is 4% compounded continuously for 15 years, 6 months.

36. ## math

a bank account earns 7% annual interest compounded continuously. you deposit \$10,000 in the account, and withdraw money continuously from the account at a rate of \$1000 per year. a. write the differential equation for the balance, B, in the account after t

37. ## Algebra

A savings account is started with an initial deposit of \$500. The account earns 1.5% interest compounded annually. Write an equation to represent the amount of money in the account as a function of time in years. Find the amount of time it takes for the

38. ## PRE-CALCULUS

. Sam won \$150,000 in the Michigan lottery and decides to invest the money for retirement in 20 years. Find the accumulated value for Sam’s retirement for each of his options: (a) a certificate of deposit paying 5.4% compounded yearly (b) a money market

39. ## calculus m119

(1 point) At what constant, continuous rate must money be deposited into an account if the account is to contain \$22500 in 5 years? The account earns 6% interest compounded continuously.

40. ## math

A bank account earns 10 percent interest compounded continously. What annual amount of money must parents deposit each year in order to save 110000 dollars in 9 years for a child's college expenses? Assume the annual amount is added continuously over the

41. ## Mathematics

You deposit \$2,000 in an account with an annual interest rate of 4.5%. Calculate the amount of money you will have in your account after 9 years if interest is compounded monthly. Assume that you make no deposits into the account after the initial deposit.

42. ## Math

Emma receives \$7750 and invests it in an account that earns 4% interest compounded continuously. What is the total amount of her investment after 5 years?

43. ## Math

if 8000 is invested in a long-term trust fund with an interest rate of 5% compounded continuously what is the amount of money in the account after 15 years?

Uninhibited Growth Model. This is an example problem from the book and need help figuring it out? a) If \$3500 is invested in an account that pays 5% interest compounded continuously, how long will it take to grow to \$7000. b) How much money will the

45. ## maths

How much money will I need to have at retirement so I can withdraw \$60,000 a year for 20 years from an account earning 8% compounded annually? a. How much do you need in your account at the beginning b. How much total money will you pull out of the

46. ## math

If \$5,600 is deposited into an account paying 5% interest compounded annually (at the end of each year), how much money is in the account after 3 years? Are you familiar with the formula Amount = Principal(1+i)^n ? Amount = 5600(1+.05)^3 = 5600(1.05)^3

47. ## Finance

. On the day that you were born, your grandfather opened a savings account in your name. At that time, he deposited a certain amount of money into the account, and has deposited the same amount on each of your first 20 birthdays. Today is your 21st

48. ## Calc

A person deposits money into a retirement account, which pays 7% interest compounded continuously, at a rate of \$1000 per year for 20 years. Calculate: a. The balance of the account at the end of 20 years b. the amount of money actually deposited into the

49. ## magh

suppose you put money into teo different bank accounts. In account #1 you deposit \$500 and you will be earning 6% interest compounded quarterly. in account #2 you deposit \$600 and you will be earning 5% interest compounded annually. Which statement below

50. ## Calculus

Hi! I really do not get how to solve this...Money is transferred continuously into an account at the rate of 5, 000^(e0.015t) dollars per year at time t (years). The account earns interest at the annual rate of 5% compounded continuously. How much will be

51. ## math

Jim wants to deposit money in an account to save for a new stereo system in two years. He wants to have \$4,000 available at the time. The following rates are available to him: 6.2% simple interest 6.1% compounded annually 5.58% compounded semiannually

52. ## 12th grade Math - word problems

#1.) The population of bacteria after t hours is given by P(t) = 500/(1+83.33e^-0.162t) a.) What is the initial population? b.) When will the amount of bacteria in the population be 12? #2.) Which investment yields the greater amount after 4 years? a.)

53. ## College Algebra

20. Growth of an Account If Russ (see Exercise 19) chooses the plan with continuous compounding, how long will it take for his \$60,000 to grow to \$80,000? 3. (1/8) to the 2x-3= 16 to the x +1 13. e to the 4x= 4 to the x-2 15. ln (x-4) ln 3= ln(1/5) to the

54. ## math

you deposit \$2200 in an account that pays 3% annual interest. after 15 years, you withdraw the money. what is the balance if the interest is compounded continuously?

55. ## algebra

If Ron put \$1000 of his money into a bank account that earns a 2.3% annual interest rate, how much will he earn after 10 years if the interest is compounded A. yearly, B monthly? C. continuously?

56. ## math

Jim wants to deposit money in an account to save for a new stereo system in two years. He wants to have \$4,000 available at the time. The following rates are available to him: 6.2% simple interest 6.1% compounded annually 5.58% compounded semiannually

57. ## PreCalc

Suppose that \$14,000 is invested in a savings account paying 5.2% interest per year. (a) Write the formula for the amount A in the account after t years if interest is compounded monthly.

58. ## math

Money is deposited in an account for which the interest is compounded continuously. If the balance doubles in 6 years, what is the annual percentage rate? Can someone show me how to set this up? I have to use the equation: M(t)= Ce^(kt). Thanks.

59. ## Lat math question for some days. Can y'all help?

Huan deposited \$850 into a college savings account earning 4.8% interest compounded annually. He also deposited \$850 into a second account earning 4.8% simple interest. He made no additional deposits. After 10 years, which account earned more interest? How

60. ## math

Suppose that you have \$12,500 to invest over a 4 year period. There are two accounts to choose from: 4.5% compounded monthly or 4.3% compounded continuously. a. Write the formula for the first account’s compound interest for n compounding per year. b.

61. ## math

An initial investment of \$1240 is appreciated for 17 years in an account that earns 8% interest, compounded continuously. Find the amount of money in the account at the end of the period.

62. ## Algebra

Show how you substitute the values into the formula, then use your calculator. *Use A = P(1+r/n)nt to find the amount of money in an account after t years, compounded n times per year. *Use I = Prt to find the amount of simple interest earned after t years

63. ## Compound interest

Hello My teacher skipped over this and I have no clue how to do this or the equations. Help would be wonderful thank you If 6000 dollars is invested in a bank account at an interest rate of 10 per cent per year, find the amount in the bank after 15 years

64. ## math

I have been staring at this problem forever, and cant seem to dig it up in my book. Please help! Two competing bank are trying to attract customers. (a) Ally Bank has an account which earns 25% interest every 10 years. Assuming the interest is compounded

65. ## math

v(t)= Ce^(k(square root(t)) Suppose that the dealer, who is 25 years old, decides to sell the card at time , sometime in the next 40 years: 0< or equal to t < or equal to 40. At that time , he’ll invest the money he gets for the sale of the card in a

66. ## math

Suppose that you were saving money over 5 years to use in a purchase later. You have \$1000 to put in the savings. After surveying several banks for savings plans, you found these options. "A" stands for the amount you will have in the bank after x years. *

67. ## Math help

Samantha finds a bank, Star Bank, which offers a CD account with a 2% interest rate every month. Star Bank’s interest is not compounded. The interest is based on the original amount of deposit. Remember that Samantha has \$500 to start the account. She

68. ## math

how much money would have to be invested in an account at 3.98% annual interset to achieve a balance of 25,000 in 17 years if a. The account pays simple interest b. the account compound interest qrtly c. the account compounds interest continuously

69. ## math college

A bank account earns 10 percent interest compounded continously. What annual amount of money must parents deposit each year in order to save 110000 dollars in 9 years for a child's college expenses? Assume the annual amount is added continuously over the

70. ## Alg2

Help....Help... Suppose you deposit a principal amount of p dollars in a bank account that pays compound interest. If the annual interest rate r (expressed as a decimal) and the bank makes interest payments n times every year, the amount of money A you

71. ## Math

3. If the banks returned all the money plus interest accumulated from 1938 to 1998 it could be calculated using A=A0 (1.05)^t where A is the amount of money to be returned A0 was the initial amount and t is the number of years since 1938. (Notice that this

72. ## Math

Mark put \$3290 into a bank that offered 3% interest rate compounded monthly. Mark kept the money in this account for 9 years and then moved all this money to a new account that offered 6% interest rate compounded weekly. Do not round any numbers until you

73. ## algebra II

What will be the amount in an account with initial principal \$6000 if interest is compounded continuously at an annual rate of 3.25% for 9 years?

74. ## Algebra

John, Sally, and Natalie would all like to save some money. John decides that it would be best to save money in a jar in his closet every single month. He decides to start with \$300, and then save \$100 each month. Sally has \$6000 and decides to put her

75. ## Math

(a) Themba wants to deposit a sum of money into a savings account so that he will have R30 000 in 3 years time for an overseas holiday how much money must he deposit into the account if the interest paid on the savings is 8,5% p.a (b) R1 000 is deposited

76. ## Algebra

find the amount of money accumulated if you invested \$10,000 at 5.4% interest for 8 years compounded continuously.

77. ## Math

When interest is compounded once a year, the formula for compound interest is A=P(1+r)t in the formula, A represents the amount of money after t years, p represents the principal, and interest rate written as a decimal. If p=\$500 r=3% and t=2 What is the

78. ## Algebra

Please Help! How much money, invested at an interest rate of r% per year compounded continuously, will amount to A dollars after t years? A = 15,500, r = 5.4, t = 5

79. ## mathmatics

4. Annie finds another bank, Star Bank, that offers a CD account with a 2% interest rate every month. Star Bank's interest is not compounded. The interest is based on the original amount of deposit. Remember that Annie has \$500 to start the account. She

80. ## algebra

Compound word problem Sarah decides to open up her own bank account for her schooling and wants to save money. She decides to put \$500.00 in the savings account she is opening. The amount she earns has 8% interest and it’s compounded quarterly. How much

81. ## math

you have deposited 1000 dollars in your savings account with n annual interest rate of 4 percent compounded monthly. how much money are you going to have in your account after six months? [(1+ 0.04/12)]^6 x 1000 = ?? is the answer 1020.164? You got it.

82. ## calculus

Assume the initial investment was \$6600 and the annual interest rate to be compounded continuously is 5%. Assume also that the target amount is \$7900. If you want the account to contain the target amount given above after 9 years, what yearly interest rate

83. ## algebra

The amount of money in an account with continuously compounded interest is given by the formula A=Pe^rt , where P is the principal, r is the annual interest rate, and t is the time in years. Calculate to the nearest hundredth of a year how long it takes

84. ## algebra

Compound interest word problem. Suppose JJ has \$1000 that he invests in an account that pays 3.5% interest compounded quarterly. How much money does JJ have at the end of 5 years? Formula: A= The amount of money earned after a certain length of time. P=

85. ## Calc

How much money will we have in 6 months if we invest \$1000 into an account earning 8% compounded continuously? How long will it take the \$1000 to double? What is the effective rate for 8% compounded continuously that would produce the same accumulated

86. ## Math

Using the compound interest formula A = P (1+ ((r)/ (n)) ^nt Find the amount of money in the account at the end of 10 years. (Show values substituted in the formula, and calculate the numerical amount.) \$18,000 is invested in an account paying 3% interest

87. ## Math

Use the compound interest formula to solve: \$18,000 is invested in an account paying 3% interest compounded quarterly. Find the amount of money in the account at the end of 10 years. (Show values substituted in the formula, and calculate the numerical

88. ## calculus

If 8000 dollars is invested in a bank account at an interest rate of 10 per cent per year, find the amount in the bank after 10 years if interest is compounded annually (a) b) Find the amount in the bank after 10 years if interest is compounded quaterly c)

89. ## Calculus 2

I cannot figure this out for the life of me. Maybe I am overthinking it. Money is transferred into an account at the rate of R(t)=5000t(e^-0.6t) If the account pays 2% interest compounded continuously, how much will accumulate in the account over a 9-year

90. ## Calculus

Money is deposited in an account for which the interest is compounded continuously. The initial investment in the account is \$2000 and the annual interest rate is 14%. What is the time required for the balance to double? Round your answer to three decimal

91. ## math

Zeb is going to deposit \$3370 into an account that earns 14% APR compounded annually for 37 weeks. What is the "n" in the compound interest formula? n= What is the "t" in the compound interest formula? Enter as a fraction. years What is the "nt" in the

92. ## math

v(t)= Ce^(k(square root(t)) Suppose that the dealer, who is 25 years old, decides to sell the card at time , sometime in the next 40 years: 0< or equal to t < or equal to 40. At that time , he’ll invest the money he gets for the sale of the card in a

Uninhibited Growth Model. This is an example problem from the book and need help figuring it out? a) If \$3500 is invested in an account that pays 5% interest compounded continuously, how long will it take to grow to \$7000. b) How much money will the

94. ## algebra

How long does it take your money to double if it is left in an account for 20 years and earns 8.5% interest compounded continuously?

95. ## Math-college

Create a compound interest word problem. Be sure to include the following, leaving one of the variables unknown: The amount of money earned after a certain length of time, A. The amount of money you start with, the principal, P. The interest rate, r. The

96. ## financial mathematics

jeromeborrowed an amount of money on 16th june 1999. he has to pay Ri7500 back on 25th feb 2000. what was the amount borrowed if simple interest of 26% is chargedd? qn 2. For 20yrs sidney deposited R200 every month into an account. this account earned 15%

97. ## Precalc

David invested \$340 in an account paying an interest rate of 2 1/8​% compounded continuously. Natalie invested \$340 in an account paying an interest rate of 2 3/4% compounded quarterly. After 17 years, how much more money would Natalie have in her

98. ## algebra

\$7,000 is invested into two accounts: 4,000 into an account paying 5% interest compounded monthly and \$3,000 into an account paying 4.1% interest compounded continuously. compute the total interest earned at the end of 2 years.

99. ## calculus

Suppose that the dealer, who is 25 years old, decides to sell the card at time , sometime in the next 40 years: 0< or equal to t < or equal to 40. At that time , he’ll invest the money he gets for the sale of the card in a bank account that earns an

100. ## Financial management

If you deposit money today into an account that pays 6.5 percent interest, how long will it take for you to double your money? You can get a pretty good estimate by using the Rule of 72. Divvied 72 by 6.5 to obtain your answer. The formula depends on when