waheguru
  • waheguru
Can someone please help me with this problem, I do not understand how to solve
Linear Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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waheguru
  • waheguru
1 Attachment
waheguru
  • waheguru
How do i solve this?
anonymous
  • anonymous
Let the part of it that's being invested at a rate of 5% per annum be x. Let he other part that's being invested at 7.2% "5000-x".

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waheguru
  • waheguru
can it not also be y ?
anonymous
  • anonymous
Why would you want two variables when you can solve it using one? Do you want to make your life harder?
waheguru
  • waheguru
Its because i am learning graphing at the moment so i thought there would be y in there
anonymous
  • anonymous
Does the question have the word sketch/draw or graphically in it?
waheguru
  • waheguru
no
anonymous
  • anonymous
Then what kind of reason was that?... Now let's continue on with the question rather than giving random excuses as to what you're learning.
waheguru
  • waheguru
sorry
anonymous
  • anonymous
Write 5% as a decimal.
anonymous
  • anonymous
Also write 7.2% as a decimal.
waheguru
  • waheguru
0.05
waheguru
  • waheguru
0.072
anonymous
  • anonymous
Sorry I meant fraction. My apologies.
waheguru
  • waheguru
50/1000 75/1000
anonymous
  • anonymous
Make it into the simplest form please. If you don't know how to simplify fractions into its simplest form, then I suggest you use your calculator.
waheguru
  • waheguru
1/20 and 3/40
anonymous
  • anonymous
75?
anonymous
  • anonymous
The question says 7.2%....not 7.5%....
waheguru
  • waheguru
9/125
anonymous
  • anonymous
You only got one correct. Please rewrite 7.2% as a fraction again please.
anonymous
  • anonymous
Yep you're correct.
anonymous
  • anonymous
Sorry about that, my comp lagged out.
anonymous
  • anonymous
Okay now. Do you agree that (x times 5%)+[(5000-x) times 7.2%)]=349?
waheguru
  • waheguru
yes
anonymous
  • anonymous
Okay, now change the 5% and 7.2% into the fractions you wrote previously and show me your equation.
waheguru
  • waheguru
1/20 x + 9/25 (5000-x) = 349
anonymous
  • anonymous
Yep great! Excellent.
anonymous
  • anonymous
Now. You just figured the equation that would lead you to finding x. \[\frac{ x }{ 20 }+\frac{ 9(5000-x) }{ 125 }=349\]
waheguru
  • waheguru
oh... yea
anonymous
  • anonymous
It's 125.
anonymous
  • anonymous
I'm just letting you go for just writing 25 but I will let you go this time due to the probability of that being a typo.
waheguru
  • waheguru
yea
anonymous
  • anonymous
Okay, so when you get rid of the fractions by multiplying both sides with the Lowest common multiple, tell me what you get.
waheguru
  • waheguru
500 LCD
anonymous
  • anonymous
yep.
anonymous
  • anonymous
Multiply by 500 to both sides.
anonymous
  • anonymous
Tell me what you get. Afterwards, you would have to expand/distribute the brackets/paranthesis.
waheguru
  • waheguru
Ill do that, but just for knowledge this can also be answered by using the decimals (0.05 and 0.075) right
waheguru
  • waheguru
i ment 0.072
anonymous
  • anonymous
Yea of course.
anonymous
  • anonymous
I just reckon fractions are clearer and you would understand a bit better.
anonymous
  • anonymous
So what did you get?
waheguru
  • waheguru
I find fractions a bit difficult so i did decimals, 0.05x + 0.072(5000-x) = 349
waheguru
  • waheguru
0.05x + 360-0.072x = 349
anonymous
  • anonymous
Okay...Well then expand/distribute the brackets/paranthesis...
waheguru
  • waheguru
and 0.05x - 0.072 = -11
anonymous
  • anonymous
Where's the x gone mate?
waheguru
  • waheguru
sry (you are am amazing teacher you can catch the slighest mistakes =) 0.05x - 0.072x = -11
anonymous
  • anonymous
Okay collect likes terms. That means group the x's together.
anonymous
  • anonymous
like terms*
waheguru
  • waheguru
-0.022x = -11
waheguru
  • waheguru
x= -11/-0.022
waheguru
  • waheguru
x = 500
waheguru
  • waheguru
wow
anonymous
  • anonymous
Yep and then what do you get for the other one.
anonymous
  • anonymous
?*
anonymous
  • anonymous
There's two parts.
anonymous
  • anonymous
That's the first part where it was invested at a rate of 5% p.a
anonymous
  • anonymous
So what about the part where it was invested at a rate of 7.2%?
waheguru
  • waheguru
4500 the rest of the money
anonymous
  • anonymous
Correct. Awesome.
waheguru
  • waheguru
wow, you are just an amazing teacher. thank you soo much
anonymous
  • anonymous
I will show what I did using fractions. This just give you a look at a different perspective in solving these. \[25x+36(5000-x)=174500\] \[25x+180000-36x=174500\] \[11x=180000-174500\] \[11x=5500\] \[x=500\]
anonymous
  • anonymous
And no worries. Good work.
waheguru
  • waheguru
Mr, Aztech are you usually available at this time so I can ask you for help
anonymous
  • anonymous
Not all the time. I'm also busy with my own work. So some days I will be off doing my work and other days I will be resting and so on. This is only just a bit of fun to help others with their homework.
waheguru
  • waheguru
Thankyou sir

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