accumulated value | MathCelebrity Forum

accumulated value

  1. math_celebrity

    $1,100 per month for 10 years, if the account earns 2% per year

    $1,100 per month for 10 years, if the account earns 2% per year What the student or parent is asking is: If they deposit $1,100 per month in a savings/investment account every month for 10 years, and they earn 2% per year, how much will the account be worth after 10 years? Deposits are...
  2. math_celebrity

    A baseball card that was valued at $100 in 1970 has increased in value by 8% each year. Write a func

    A baseball card that was valued at $100 in 1970 has increased in value by 8% each year. Write a function to model the situation the value of the card in 2020.Let x be number of years since 1970 The formula for accumulated value of something with a percentage growth p and years x is: V(x) =...
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    Bridget deposited $4500 at 6 percent simple interest. How much money was in the account at the end o

    Bridget deposited $4500 at 6 percent simple interest. How much money was in the account at the end of three years? Using our simple interest balance calculator, we get: $5,310
  4. math_celebrity

    Linda estimates that her business is growing at a rate of 6% per year. Her profits is 2002 were $30,

    Linda estimates that her business is growing at a rate of 6% per year. Her profits is 2002 were $30,000. To the nearest hundred dollars, estimate her profits for 2011. Calculate the number of years of appreciation: Appreciation years = 2011 - 2002 Appreciation years = 9 So we want 30000 to...
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    Bonnita deposited $4,500 into a savings account paying 3% interest compounded continuously. She plan

    Bonnita deposited $4,500 into a savings account paying 3% interest compounded continuously. She plans on leaving the account alone for 7 years. How much money will she have at that time? Using our compound interest calculator, we get: $5551.55
  6. math_celebrity

    Nancy started the year with $435 in the bank and is saving $25 a week. Shane started with $875 and i

    Nancy started the year with $435 in the bank and is saving $25 a week. Shane started with $875 and is spending $15 a week. When will they both have the same amount of money in the bank? Set up the Account equation A(w) where w is the number of weeks that pass. Nancy (we add since savings means...
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    principal $3000, actual interest rate 5.6%, time 3 years. what is the balance after 3 years

    principal $3000, actual interest rate 5.6%, time 3 years. what is the balance after 3 years Using our compound interest calculator, we get a final balance of: $3,532.75
  8. math_celebrity

    A person invests $500 in an account that earns a nominal yearly rate of 4%. How much will this inves

    A person invests $500 in an account that earns a nominal yearly rate of 4%. How much will this investment be worth in 10 years? If the interest was applied four times per year (known as quarterly compounding), calculate how much the investment would be worth after 10 years. Using our compound...
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    A person places $96300 in an investment account earning an annual rate of 2.8%, compounded continuou

    A person places $96300 in an investment account earning an annual rate of 2.8%, compounded continuously. Using the formula V=PertV = Pe^{rt} V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of...
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    8300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the a

    8300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 14 years, to the nearest cent? Using our balance with interest calculator, we get: $20,043.46
  11. math_celebrity

    Suppose you deposited $1200 in an account paying a compound interest rate of 6.25% quarterly, what w

    Suppose you deposited $1200 in an account paying a compound interest rate of 6.25% quarterly, what would the account balance be after 10 years? Using our compound interest with balance calculator, we get: $2,231.09
  12. math_celebrity

    A person invests $9400 in an account at 5% interest compound annually. When will the value of the in

    A person invests $9400 in an account at 5% interest compound annually. When will the value of the investment be $12,800. Let's take it one year at a time: Year 1: 9,400(1.05) = 9,870 Year 2: 9,870(1.05) = 10,363.50 Year 3: 10,363.50(1.05) = 10,881.68 Year 4: 10.881.68(1.05) = 11,425.76 Year 5...
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    Suppose you deposit $3000 in an account paying 2% annual interest, compounded continuously. Use A=Pe

    Suppose you deposit $3000 in an account paying 2% annual interest, compounded continuously. Use A=Pert to find the balance after 5 years. A = $3,000 * e^0.02(5) A = $3,000 * e^0.1 A = $3,000 * 1.105171 A = $3,315.51
  14. math_celebrity

    Luke invested $140 at 6% simple interest for a period of 7 years. How much will his investment be w

    Luke invested $140 at 6% simple interest for a period of 7 years. How much will his investment be worth after 7 years? Using our simple interest balance calculator, we get $198.80.
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    You put $5500 in a bond fund which has an annual yield of 4.8%. How much interest will be earned in

    You put $5500 in a bond fund which has an annual yield of 4.8%. How much interest will be earned in 23 years? Build the accumulation of principal. We multiply 5,500 times 1.048 raised to the 23rd power. Future Value = 5,500 (1.048)^23 Future Value =5,500(2.93974392046) Future Value = 16,168.59...
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    You buy a house for $130,000. It appreciates 6% per year. How much is it worth in 10 years

    You buy a house for $130,000. It appreciates 6% per year. How much is it worth in 10 years The accumulated value in n years for the house is: A(n) = 130,000(1.06)^n We want A(10) A(10) = 130,000(1.06)^10 A(10) =130,000*1.79084769654 A(10) = 232,810.20
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    Joey puts $1,000.00 into an account to use for school expenses. The account earns 12% interest, comp

    Joey puts $1,000.00 into an account to use for school expenses. The account earns 12% interest, compounded annually. How much will be in the account after 6 years? Using our balance calculator, we get $1,973.82
  18. math_celebrity

    Annuity that pays 6.6% compounded monthly. If $950 is deposited into this annuity every month, how m

    Annuity that pays 6.6% compounded monthly. If $950 is deposited into this annuity every month, how much is in the account after 7 years? How much of this is interest? Let's assume payments are made at the end of each month, since the problem does not state it. We have an annuity immediate...
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    9000 dollars is placed in an account with an annual interest rate of 8%. How much will be in the acc

    9000 dollars is placed in an account with an annual interest rate of 8%. How much will be in the account after 17 years, to the nearest cent? Using our compound interest accumulated balance calculator, we get: $33,300.16
  20. math_celebrity

    You are given a choice of taking the simple interest on $100,000 invested for 5 years at a rate of 2

    You are given a choice of taking the simple interest on $100,000 invested for 5 years at a rate of 2% or the interest on $100,000 invested for 5 years at an interest rate of 2% compounded daily. Which investment earns the greater amount of interest? Give the difference between the amounts of...
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