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anonymous

  • 5 years ago

a company had a total debt of $320,000 in 1980. between 1980 and 1987 it was able to reduce its debt 15% each year. approximate the companys debt in 1987 to the nearest 1000

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  1. anonymous
    • 5 years ago
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    all right

  2. anonymous
    • 5 years ago
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    begin with 320,000.

  3. anonymous
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    so in 1981 the debt would have been reduced by 15%....so 85% remains

  4. anonymous
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    rite

  5. anonymous
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    let's say X0 represents the debt in 1980

  6. anonymous
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    X1 is debt in 1981. debt in 1981 = debt in 1980 reduced by 15% which is just 85% of debt in 1980 --> X1 = (X0)*.85

  7. anonymous
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    oh my you lost me

  8. anonymous
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    all right

  9. anonymous
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    so, what would be the debt in 1981?

  10. anonymous
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    i was just having variables stand in for the amounts

  11. anonymous
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    would it be the same as 1980?

  12. anonymous
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    the company reduces its debt by 15% each year

  13. anonymous
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    so minus 15% each year?

  14. anonymous
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    so it'd be less than the year before

  15. anonymous
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    right, -15% per year

  16. anonymous
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    but another way to consider this would be that 85% of the amount remains from before

  17. anonymous
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    37999.85

  18. anonymous
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    is that the answer?

  19. anonymous
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    as the final answer? or just what would be the total debt in 1981?

  20. anonymous
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    total debt in 1981

  21. anonymous
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    no, how did you get that?

  22. anonymous
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    i minused 15% the debt from 1980

  23. anonymous
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    what value did you obtain for 15% of 320,000?

  24. anonymous
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    319,999.85

  25. anonymous
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    15% of 320,00 would be: 320,000*.15 = 48,000

  26. anonymous
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    320,000 - 48,000 = debt in 1981

  27. anonymous
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    why multiply?

  28. anonymous
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    where did you get 48,000??

  29. anonymous
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    .15 * 320,000

  30. anonymous
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    you lost me. im sorry im horrible at math

  31. anonymous
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    you need to determine what 15% of the debt in 1980 is. the value if $320,000

  32. anonymous
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    are you familiar with percentages?

  33. anonymous
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    yes

  34. anonymous
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    cool, so in this case, you need to first determine what 15% of 320,000.

  35. anonymous
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    thats how you got 48,000?

  36. anonymous
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    yeah. 15% is actually the decimal .15

  37. anonymous
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    i know

  38. anonymous
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    yeah, cool, so you just multiply the decimal form with the debt

  39. anonymous
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    so debt in 1981 would be debt in 1980 - 15% of the debt in 1980

  40. anonymous
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    so it would be 15% minus 7 years?

  41. anonymous
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    not quite

  42. anonymous
    • 5 years ago
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    so here, I want to type out a general plan for how to solve this then step through it with you

  43. anonymous
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    ugh. okay so i would minus .15 every year with each new debt?

  44. anonymous
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    right

  45. anonymous
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    debt in 1981 = debt in 1980 - (.15 * debt in 1980) debt in 1982 = debt in 1981 - (.15 * debt in 1981) debt in 1983 = debt in 1982 - (.15 * debt in 1982) debt in 1984 = debt in 1983 - (.15 * debt in 1983) debt in 1985 = debt in 1984 - (.15 * debt in 1984) debt in 1986 = debt in 1985 - (.15 * debt in 1985) debt in 1987 = debt in 1986 - (.15 * debt in 1986)

  46. anonymous
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    or debt in 1981 = debt in 1980 * .85

  47. anonymous
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    okay i dont want to do it that way the .85

  48. anonymous
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    its confusing

  49. anonymous
    • 5 years ago
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    all right, that would give you less work however...less multiplying and subtracting ;)

  50. anonymous
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    but that is the general set up

  51. anonymous
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    i rather the long way so i dont get lost in the middle,

  52. anonymous
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    sure, no problem

  53. anonymous
    • 5 years ago
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    yeah once you get it that way, i bet you can find the simpler way

  54. anonymous
    • 5 years ago
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    so we did 1981?

  55. anonymous
    • 5 years ago
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    do you think you can try to solve it?

  56. anonymous
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    yes

  57. anonymous
    • 5 years ago
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    cool, i'll check it for you if you'd like

  58. anonymous
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    oh please give me 10min.

  59. anonymous
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    sure

  60. anonymous
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    okay i lost myself.

  61. anonymous
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    heh, just concentrate on find the debt of one year at a time

  62. anonymous
    • 5 years ago
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    so how far did you get?

  63. anonymous
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    ok. we can step through this. what is the debt in 1980: 320,000. what is the debt in 1981?

  64. anonymous
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    i did and it keeps going down to 47999 and only going down after the decimal

  65. anonymous
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    we said 480000 before

  66. anonymous
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    we said that 48,000 was 15% of 320,000. 48,000 would be the amount that the debt was reduced BY. therefore. 320,000 - 48,000 is the debt in 1981

  67. anonymous
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    that would be 272000

  68. anonymous
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    correct

  69. anonymous
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    ok, so that is debt in 1981. we have debt in 1980 was 320,000. debt in 1981 was 272,000. now, what would be the debt in 1982?

  70. anonymous
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    no

  71. anonymous
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    heh, what's up?

  72. anonymous
    • 5 years ago
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    you wold minus .15 from 272000??

  73. anonymous
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    to determine the debt in 1982. we would take the debt from 1981 (which we found is 272,000 ). so, i think what you're saying is right. find 15% of 272,000. then subtract that amount from 272,000 to find the debt in 1982

  74. anonymous
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    thats what i meant

  75. anonymous
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    cool, then you got it

  76. anonymous
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    i got 271999.85

  77. anonymous
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    so debt in 1982 is 272,000 - (15% * 272,000)...drum roll, which is?

  78. anonymous
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    you simply subtracted .15 from 272,000

  79. anonymous
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    you need to multiply then subtract

  80. anonymous
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    ugh okay

  81. anonymous
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    when i multiply i get 40800

  82. anonymous
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    ok. now subtract that from 272,000

  83. anonymous
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    272,000 - 40,800 is the debt in 1982

  84. anonymous
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    231200

  85. anonymous
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    ok so now for 1983

  86. anonymous
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    multiply 231200 * .15

  87. anonymous
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    nice then subtract

  88. anonymous
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    196520

  89. anonymous
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    solid, and repeat for 1984...

  90. anonymous
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    seems like you got It, right?

  91. anonymous
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    1984 is 225998

  92. anonymous
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    yes

  93. anonymous
    • 5 years ago
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    hey, sorry, did you get the rest?

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