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anonymous
 one year ago
A man invests $20,000 to yield $1,280 interest annually.If part of his investment pays 6% annually and the rest of his investment pays 7% annually,how much does he invest at each rate?
anonymous
 one year ago
A man invests $20,000 to yield $1,280 interest annually.If part of his investment pays 6% annually and the rest of his investment pays 7% annually,how much does he invest at each rate?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we need a variable for the amount invested at say 7% you pick it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0it doesn't matter what you pick, so pick any letter you like

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0idk that's the problem i don't understand the question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i will walk you through it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we need two numbers, the amount invested at 7% and the amount invested at 6% to do a problem like this, you need to have a variable representing some number you want, then you need an equation to solve but the first step is to make a variable you pick it

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0pick some letter to represent the amount invested at 7% interest

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can pick such your smart and you know what your doing

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there are 26 letters in the alphabet, you do not need to be smart to pick one of them

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0just asking are you a boy or girl?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0also there is the greek alphabet, you can pick a letter from there too the indians used colors for there variables

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1why don't you pick \(x\) that is what the math teachers usually use

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok \(x\) it is then if the amount invested at 7% is \(x\) and the total is \(20,000\) then the amount invested at 6% is \(20,000x\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.17% of \(x\) is \(0.07x\) right? at 6% of \(20,,000x\) is \(.06(20,000x)\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes, and since the total interest is 1280 you know that \[.07x+.06(20,000x)=1280\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0final job is to solve that for \(x\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1yeah but decimals are so annoying

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0k lets get rid of them by multiplying both sides by 100 to clear the decimals

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1oh ok, then we can just solve \[7x+6(20,000x)=128,000\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yeah if you multiply both sides by 100 the decimal goes, and of course you have to multiply \(1280\times 100\) to get \(128,000\)

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1now it should be easy right? distribute the 6 then combine like terms then you can solve for \(x\) in one step

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so x is suppose to equal to?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1you still have to find \(x\) by solving \[7x+6(20,000x)=128,000\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i mean how much does he invest at each rate?

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1solve for \(x\) and you will know how much is invested at 7% do you know how to do that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its all too confusing

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1then skip it you need to know how to solve basic linear equations first before you can worry about complicated word problems

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but its homework and i need to finish it,its due tomorrow that's why i need help to find what x is

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Well, let's see what we can do ^^ Do you know what "distribute" means in this context? \[7x+\color{red}6(\color{blue}{20,000}\color{green}x)=128,000\]

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1it is too confusing go back and learn how to solve linear equations first then you need to know how to set up a word problem finally you can tackle something like this there is not royal road to algebra, you have to do it step by step

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Miss Tea scared her off D: Oh noes

misty1212
 one year ago
Best ResponseYou've already chosen the best response.1any one who starts of with "i don't get it" "this is too confusing" "this doesn't make sense" is not ready to begin a problem like this you could go ahead and give the answer, but it will make no sense at all look at all the work we did just to set up the equation need to go back and learn the basics, then we can tackle something like this

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Aww, there's no need to get so extreme ^^ Come on, @vickie11223 work with me here. What I want you to do is distribute the 6 to the two terms inside the parentheses. What that means is you multiply 6 to those two terms. Can you do that? \[7x+\boxed{6(20,000x)}=128,000\] Focus on the stuff in the box first.

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439057511466:dw

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0My handwriting is terrible, but this might give you a better idea on what "distribution" is. Multiply ^^

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Great. So going back to the equation, we get \[\Large 7x+ \color{blue}{120000  6x}=128,000\] Anything you can simplify?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0minus 120,000 to 128000

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Not the more obvious thing to do, but sure. Just so we're clear, what will your equation look like after that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0or minus 7x to negtive 6x

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Slowly, now ^^ Step by step. Show your steps. All of them. Preferably one at a time. I'll add my commentary to them XD

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i don't know would you like to show me?

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0I would love to, but you know, you already outlined two things that you CAN do. I wanted you to show me your steps so I can make sure you're doing them correctly :D

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Okay. This could use some work XD Remember that we're dealing with equations here, you need to have the = sign. And never ever admit to stupidity haha

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0I'd rather you showed me your steps. But... anyway, can I trust that you knew what you were doing when you got to this equation?

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0oh and uhh you missed a spot. x's don't just disappear ;) HAHA no pun intended

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439058198385:dw

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0As a matter of fact, yes ^^ Now you got x. That's the amount invested for 7% as I recall What about the amount invested for 6%?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you show me the equation?

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0no need for that, just simple logic. The bloke invested 20,000, yes? one part for 7% which is 8000 the rest has to have been invested for 6% Take 8000 from 20000, what do you have left? ^_^

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0and there you go ^^

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Just to make sure, what's 6% of 12000?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0idk would youlike to help me lol

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Come on _ Calculators can do that for you. haha

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hahaha i dont have one with me do you

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0okay, to get 6% of something, multiply it by 0.06 Now, what's 6% of 12000?

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Right. What's 7% of 8000? Multiply by 0.07 ;)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but i need to find how much does he invest at each rate

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Didn't you already do that? You defined x as the amount he invested for 7% and you got... what?

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0That's 7% of 8000 lol

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0now add them up. 560 and 720 and you get?

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0I don't think so?

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0And that's exactly how much interest he was supposed to earn, as per your problem. Good job!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but thats how much he yielded

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i need to find how much he invest at each rate

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0I know. That was only supposed to check that your answer was correct, and it is ^^ x is how much he invested at 7% and you already got a value for x.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0that is what i put as my answer

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0no. Look back to the equation you solved. You got a value for x.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0and that is the value of x

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0and that's how much he invested at 7%

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh thank you your so smart

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i need help with one more question

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0Just a little ;) Now that this is done, do in fact, follow Misty's lead and give your "solving linear equations" a thorough review.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i think i need a one on one tutor like you

terenzreignz
 one year ago
Best ResponseYou've already chosen the best response.0There are plenty of those. Here. They'll only be too happy to help you...sometimes all at once haha
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