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anonymous

  • one year ago

If Php 56,734 is the present value of P hp 254,652 when will it earn its interest if money is worth 10.25% compound quartely ?

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  1. anonymous
    • one year ago
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    @mathmate

  2. anonymous
    • one year ago
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    @mathmate

  3. mathmate
    • one year ago
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    @jacalneaila I thought you're doing statics, suddenly you're in finite math? lol

  4. anonymous
    • one year ago
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    im done in statics :)

  5. anonymous
    • one year ago
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    thank you very much :)

  6. mathmate
    • one year ago
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    Well, this is an application of the compound interest formula. Are you familiar with the compound interest formula?

  7. anonymous
    • one year ago
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    yes :)

  8. anonymous
    • one year ago
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    can you check my answer :)

  9. mathmate
    • one year ago
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    sure, what do you get, and how did you get it?

  10. anonymous
    • one year ago
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    F=P(\[F=P(1+r/m)^t^m\]

  11. mathmate
    • one year ago
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    Good, what you you use for r and m?

  12. anonymous
    • one year ago
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    \[254,652=56734(1+10.25%/4)^(4)(x) \]

  13. anonymous
    • one year ago
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    m=4

  14. anonymous
    • one year ago
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    r=10.25%

  15. anonymous
    • one year ago
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    date is missing

  16. anonymous
    • one year ago
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    the answer is 14.84

  17. mathmate
    • one year ago
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    Can you continue the formula from here? 254,652=56734(1+10.25

  18. anonymous
    • one year ago
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    \[254,652=56734(1+10.25%/4)^(x)(4)\]

  19. anonymous
    • one year ago
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    254,652=56734(1+10.25%/4)^(x)(4)

  20. anonymous
    • one year ago
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    @mathmate 254,652=56734(1+10.25%/4)^(x)(4)

  21. mathmate
    • one year ago
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    Try not to write the %, and the brackets at the end are not correct. It should look like this. 254,652=56734(1+0.1025/4)^(4x) How did you solve for x?

  22. anonymous
    • one year ago
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    14.84

  23. anonymous
    • one year ago
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    i put in calcu , shift solve

  24. mathmate
    • one year ago
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    What kind of calculator solves this problem the way you entered it?

  25. anonymous
    • one year ago
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    i use 991es calcu

  26. mathmate
    • one year ago
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    Amazing, did it give more than two places of decimals? What's the rest of the number, if you have it?

  27. anonymous
    • one year ago
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    yeass

  28. mathmate
    • one year ago
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    Just curious, what's the rest of the numbers? (i.e. more accuracy for the answer?)

  29. anonymous
    • one year ago
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    just put a x in calcu

  30. anonymous
    • one year ago
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    althought , you have to adjust the decimal numbers

  31. mathmate
    • one year ago
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    The problem is, 14.84 is not the correct answer, because you will see that if you use the same compound interest formula, and solve for FV, you get PhP 254757.28 and not 254652. You need more accuracy.

  32. anonymous
    • one year ago
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    the questions is when ? it means a date

  33. mathmate
    • one year ago
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    That's ok if the answer satisfies your teacher!

  34. anonymous
    • one year ago
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    i have also a problem with this questions

  35. anonymous
    • one year ago
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    At what rate compounded monthly will php 36000 become php 48500 at the end of 85 months

  36. anonymous
    • one year ago
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    in calcu , cant solve

  37. anonymous
    • one year ago
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    @mathmate i use same formula , but icant solve

  38. mathmate
    • one year ago
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    Can you post the formula the way you put it in and I can see why, or what we can do to make it solve?

  39. mathmate
    • one year ago
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    The reason is you are not solving for the same unknown, you need some adjustments to help the calculator.

  40. anonymous
    • one year ago
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    48500=36000(1+X/12)^(12)(85/12) rate is the missing

  41. mathmate
    • one year ago
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    We will start by understanding how compound interest works, then we will be able to solve for anything, even when the 991es gets stuck, ok?

  42. anonymous
    • one year ago
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    ok :)

  43. mathmate
    • one year ago
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    So the compound interest formula works like this: F=P(1+i/m)^(mt) where F=future value, P=present value, m=number of times it compounds in a year, n=number of years, and i=(nominal) interest rate. I think you are familiar with it, right?

  44. anonymous
    • one year ago
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    48500=36000(1+x/12)^12 (85/12)?

  45. mathmate
    • one year ago
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    Not too fast, we need to understand, and modify the formula to help the calculator. I was actually surprised that it found the answer the first time around!

  46. mathmate
    • one year ago
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    Your formula is correct, but the problem is too hard for the calculator!

  47. mathmate
    • one year ago
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    To continue our discussion, are you familiar with: F=P(1+i/m)^(mt) ?

  48. anonymous
    • one year ago
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    okay okay :) no

  49. anonymous
    • one year ago
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    yes

  50. anonymous
    • one year ago
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    yeah

  51. mathmate
    • one year ago
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    But that's the same formula as the first AND second problem that you used!

  52. mathmate
    • one year ago
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    ok, so you're familiar with it!

  53. anonymous
    • one year ago
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    i will use it , wait :)

  54. mathmate
    • one year ago
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    Are you able to solve for the period, using the formula, and not using the automatic solver of the calculator?

  55. anonymous
    • one year ago
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    i will try :)

  56. mathmate
    • one year ago
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    The key is to take log on both sides, which then reduces the exponentiation to a multiplication. See if you can come up with a new formula using logs!

  57. mathmate
    • one year ago
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    without using the calculator, because we are not working with numbers!

  58. anonymous
    • one year ago
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    :( , i did not get it

  59. mathmate
    • one year ago
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    You're still using the calculator. I need you to take log on both sides of the formula, and simplify the equation. It will be in a form that the calculator will solve!

  60. mathmate
    • one year ago
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    For now, ditch the calculator, and use pencil and paper!

  61. anonymous
    • one year ago
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    how can i solve it

  62. anonymous
    • one year ago
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    i have a pencil and paper

  63. anonymous
    • one year ago
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    first step

  64. anonymous
    • one year ago
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    how can u teach m

  65. anonymous
    • one year ago
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    :(

  66. mathmate
    • one year ago
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    Take log on both sides, and change the exponent (on the right of the equal sign) to multiplication, as the laws of exponents require. log(ab)=log(a)+log(b) log(a^b)= b log(a) and put the modified formula for the calculator to solve. Tell me what you get.

  67. mathmate
    • one year ago
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    I got between 4 and 4.5 %.

  68. anonymous
    • one year ago
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    i got 4.1254759065 x 10^-4

  69. mathmate
    • one year ago
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    You seem to be a factor of approximately 10 off somewhere. Use this interest rate and the compound interest formula to see you you get back 48500 after 85 months. Can you show me what you put in the calculator, perhaps a 12 is missing or misplaced somewhere!

  70. mathmate
    • one year ago
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    Using interest rate of 4.1254759065 x 10^-4, we get only 36105 after 85 monthes.

  71. mathmate
    • one year ago
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    Try your calculator with log(F/P)=log((1+x/12)^(12*85/12)

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