anonymous
  • anonymous
you invest a total of $13750 in two companies (part in SLW and part in STDY). After one year the SLW investment increases by 6.4% and the STDY investment increases by 3.9%. How much was invested in STDY if the TOTAL increase in the initial investment was 6.2%
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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amistre64
  • amistre64
so if the total increase of the initial investment (from both companies? or just from this one) is 6.2%; then ....
anonymous
  • anonymous
so 6.2 =....
anonymous
  • anonymous
am i right so far?

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amistre64
  • amistre64
x + y = 13750 x(6.4%) + y(3.9%) = 13750(6.2%) we good with this so far?
anonymous
  • anonymous
yea and i can take it from there
anonymous
  • anonymous
i can just use the elimination method right?
amistre64
  • amistre64
id rename it SLW and STDY just to be on the safe side :)
amistre64
  • amistre64
elimination is when you canel out one variable...it might be an option; but usually I just solve for one of the top variables and sustitute it into the bottom one.
anonymous
  • anonymous
that would be easier :)
amistre64
  • amistre64
x + y = 13750 y = 13750 - x --------------------------- x(.064) + y(.039) = 13750(.062) x(.064) + (13750 - x)(.039) = 13750(.062)
amistre64
  • amistre64
solve for "x" and then back it up for "y"
anonymous
  • anonymous
right. i will tell you what i get, one minute
anonymous
  • anonymous
i got 1.59 for x now about to plug back in for y
anonymous
  • anonymous
i think i did something wrong thats REALLY small
amistre64
  • amistre64
ok....ill double check your work :)
anonymous
  • anonymous
im lost
amistre64
  • amistre64
x = 12650
anonymous
  • anonymous
i multiplied everything
anonymous
  • anonymous
and got .064x + 536.25x = 852.5
anonymous
  • anonymous
solved for x and got 1.59 (rounded) but that doesnt work when i solve for y
amistre64
  • amistre64
x(.064) + (13750 - x)(.039) = 13750(.062) .064x -.039x + 536.25 = 852.50 .025x = 316.25 x = 316.25/.025 x = 12650
anonymous
  • anonymous
OHH i didn't distribute the .039 properly
anonymous
  • anonymous
can you just clarify for me and show me kinda step by step how you set up the two equations? based off of the word problem?
amistre64
  • amistre64
I can..if your still around
anonymous
  • anonymous
yes
amistre64
  • amistre64
There are 2 companies that you invest a certain number of dollars in: one company get s "x" amount of dollars and the other gets "y" amount of dollars. the amount invested into both companies has to equal 13750. x + y = 13750
anonymous
  • anonymous
right
amistre64
  • amistre64
We know that each company has a different interest rate that they pay so we set this up accordingly we know that x amount of dollars gets us 6.4% and y amount of dollars gets us 3.9%. We are also told that the total amount of interest earned from all the monies invested was 6.2%.
amistre64
  • amistre64
interest earned is a simple calcultion; it is amount of money times interest rate. plain and simple. x(6.4%) + y(3.9%) = 13750(6.2%) right?
anonymous
  • anonymous
yes, ok i get it i just wanted to reinforce it
amistre64
  • amistre64
ok :)

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