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same. bruh you needa like rip the paper and ya thats how you do et
live the hug life
How bout u post the problem ???
Wendy, a loan officer at a bank, has $1,000,000 to lend and is required to obtain an average return of 18% per year. If she can lend at a rate of 19% or at the rate of 16%, how much can she lend at the 16% rate and still meet her requirement? I've been staring at this problem for half an hour and I don't even know where to start!
you have to start by making a variable to represent what you are trying to find write it out (spend the ink)
Let x = amount loaned at 16%.
would write "let \(x\) be the amount lent at 16%"
then since the total lent is one million, the amount lent at 19% must be what?
hint, your answer has to have an x in it
Ummm, do I create a new variable???
D: This doesn't make sense to me
use one , it is easier
ok let me ask you this suppose you invest $400,000 at 16% what gets invested at 19%?
Oh! would it be 400,000 - x
let me ask again the total is one million you invest 400,000 at 16% how much is left to invest at 19%?
Wait, where the the 400,000 come from?
i made it up
after you do it with 400,000 we can do it with 700,000 and with 20,000 so we understand what we are doing and it is not so mysterious
Man, this is really confusing, I feel really stupid.
ok i will give an example i have a million dollars to invest (yeah right) i invest $200,000 at 16% that leaves me with $800,000 to invest at 19% clear?
Oooooh, yes that makes sense.
ok now your turn you have one million to invest you invest $400,000 at 16% how much do you have left to invest at 19%?
ok good now another you have one million to invest you invest $20 at 16% how much do you have left to invest at 19%?
1,000,000 - 20
yay now lets cut to the chase you invest \(x\) at 16% how much do you have left to invest at 19%? your answer must have an x in it
1,000,000 - x
ok good in summery ( we are not done) you invest \(x\) at 16% and that leaves you \(1,000,000-x\) so invest at 19% next...
you want to average 18% of the one million what is 18% of one million?
i believe you
ok so now how much do we make on the \(x\) dollars? 16% so we need to write 16% of x in math that is \[.16x\]
on account of 16% means 0.16 and "of" means \(\times\) clear?
ok so how much do we make on the \(1,000,000-x\) dollars invested at 19%?
hint, it is going to look a lot like \(.16x\) only with \(.19\) instead of \(.16\) and \(1,000,000-x\) instead of \(x\)
ohhh, it would be .19(1,000,000 - x)
yes it would
and now we can add them up to get the total amount made
just put a plus sign between the two expressions
So add the 2 expressions and make it equal to 180,000?
well greater than or equal to but lets just make it equal
.16x + .19(1,000,000 - x) = 180,000
Yay, now I can finish this. Setting up the equation really is the hard part for me.
ok it is easier to solve by multplyying both sides by 100 and solving \[16x+19(1,000,000-x)=18,000,000\]
16x + 19,000,000 - 19x = 18,000,000 -3x + 19,000,000 = 18,000,000 -3x = -1,000,000 x = 333,333.33
Am I right?
ikd i didn't do it
seems right though
yeah it is right
I really appreciate your help man. I have gained a little bit of confidence on word problems now! Thanks again for your time and help.
you are quite welcome, hope it makes it somewhat easier for you