anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
all right
anonymous
  • anonymous
begin with 320,000.
anonymous
  • anonymous
so in 1981 the debt would have been reduced by 15%....so 85% remains

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anonymous
  • anonymous
rite
anonymous
  • anonymous
let's say X0 represents the debt in 1980
anonymous
  • anonymous
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
anonymous
  • anonymous
oh my you lost me
anonymous
  • anonymous
all right
anonymous
  • anonymous
so, what would be the debt in 1981?
anonymous
  • anonymous
i was just having variables stand in for the amounts
anonymous
  • anonymous
would it be the same as 1980?
anonymous
  • anonymous
the company reduces its debt by 15% each year
anonymous
  • anonymous
so minus 15% each year?
anonymous
  • anonymous
so it'd be less than the year before
anonymous
  • anonymous
right, -15% per year
anonymous
  • anonymous
but another way to consider this would be that 85% of the amount remains from before
anonymous
  • anonymous
37999.85
anonymous
  • anonymous
is that the answer?
anonymous
  • anonymous
as the final answer? or just what would be the total debt in 1981?
anonymous
  • anonymous
total debt in 1981
anonymous
  • anonymous
no, how did you get that?
anonymous
  • anonymous
i minused 15% the debt from 1980
anonymous
  • anonymous
what value did you obtain for 15% of 320,000?
anonymous
  • anonymous
319,999.85
anonymous
  • anonymous
15% of 320,00 would be: 320,000*.15 = 48,000
anonymous
  • anonymous
320,000 - 48,000 = debt in 1981
anonymous
  • anonymous
why multiply?
anonymous
  • anonymous
where did you get 48,000??
anonymous
  • anonymous
.15 * 320,000
anonymous
  • anonymous
you lost me. im sorry im horrible at math
anonymous
  • anonymous
you need to determine what 15% of the debt in 1980 is. the value if $320,000
anonymous
  • anonymous
are you familiar with percentages?
anonymous
  • anonymous
yes
anonymous
  • anonymous
cool, so in this case, you need to first determine what 15% of 320,000.
anonymous
  • anonymous
thats how you got 48,000?
anonymous
  • anonymous
yeah. 15% is actually the decimal .15
anonymous
  • anonymous
i know
anonymous
  • anonymous
yeah, cool, so you just multiply the decimal form with the debt
anonymous
  • anonymous
so debt in 1981 would be debt in 1980 - 15% of the debt in 1980
anonymous
  • anonymous
so it would be 15% minus 7 years?
anonymous
  • anonymous
not quite
anonymous
  • anonymous
so here, I want to type out a general plan for how to solve this then step through it with you
anonymous
  • anonymous
ugh. okay so i would minus .15 every year with each new debt?
anonymous
  • anonymous
right
anonymous
  • anonymous
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)
anonymous
  • anonymous
or debt in 1981 = debt in 1980 * .85
anonymous
  • anonymous
okay i dont want to do it that way the .85
anonymous
  • anonymous
its confusing
anonymous
  • anonymous
all right, that would give you less work however...less multiplying and subtracting ;)
anonymous
  • anonymous
but that is the general set up
anonymous
  • anonymous
i rather the long way so i dont get lost in the middle,
anonymous
  • anonymous
sure, no problem
anonymous
  • anonymous
yeah once you get it that way, i bet you can find the simpler way
anonymous
  • anonymous
so we did 1981?
anonymous
  • anonymous
do you think you can try to solve it?
anonymous
  • anonymous
yes
anonymous
  • anonymous
cool, i'll check it for you if you'd like
anonymous
  • anonymous
oh please give me 10min.
anonymous
  • anonymous
sure
anonymous
  • anonymous
okay i lost myself.
anonymous
  • anonymous
heh, just concentrate on find the debt of one year at a time
anonymous
  • anonymous
so how far did you get?
anonymous
  • anonymous
ok. we can step through this. what is the debt in 1980: 320,000. what is the debt in 1981?
anonymous
  • anonymous
i did and it keeps going down to 47999 and only going down after the decimal
anonymous
  • anonymous
we said 480000 before
anonymous
  • anonymous
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
anonymous
  • anonymous
that would be 272000
anonymous
  • anonymous
correct
anonymous
  • anonymous
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?
anonymous
  • anonymous
no
anonymous
  • anonymous
heh, what's up?
anonymous
  • anonymous
you wold minus .15 from 272000??
anonymous
  • anonymous
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
anonymous
  • anonymous
thats what i meant
anonymous
  • anonymous
cool, then you got it
anonymous
  • anonymous
i got 271999.85
anonymous
  • anonymous
so debt in 1982 is 272,000 - (15% * 272,000)...drum roll, which is?
anonymous
  • anonymous
you simply subtracted .15 from 272,000
anonymous
  • anonymous
you need to multiply then subtract
anonymous
  • anonymous
ugh okay
anonymous
  • anonymous
when i multiply i get 40800
anonymous
  • anonymous
ok. now subtract that from 272,000
anonymous
  • anonymous
272,000 - 40,800 is the debt in 1982
anonymous
  • anonymous
231200
anonymous
  • anonymous
ok so now for 1983
anonymous
  • anonymous
multiply 231200 * .15
anonymous
  • anonymous
nice then subtract
anonymous
  • anonymous
196520
anonymous
  • anonymous
solid, and repeat for 1984...
anonymous
  • anonymous
seems like you got It, right?
anonymous
  • anonymous
1984 is 225998
anonymous
  • anonymous
yes
anonymous
  • anonymous
hey, sorry, did you get the rest?

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