Brayden is investing $1,617 in three different stocks: Zycodec, Unix, and Xenon. He will invest 40% of the total between Zycodec and Xenon in the Unix stock. Twice as much as the investment in Zycodec will be given to Xenon. How much will Brayden invest in the Unix stock?

- anonymous

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- anonymous

z stands for zycodec
x stands for xenon
u stands for unix
z + x + u = 1617
.40(x + z) = u
2z = x
.40(2z + z) = u
.40(3z) = u
1.2z = u
now sub 1.2z in for u and 2z in for x
z + x + u = 1617
z + (2z) + (1.2z) = 1617
4.2z = 1617
z = 1617/4.2
z = 385
2z = x
2(385) = x
770 = x
1.2z = u
1.2(385) = u
462 = u
check...
z + x + u = 1617
385 + 770 + 462 = 1617
1617 = 1617 (correct)
or he will invest 40% of total between z and x in u
.40 (z + x) = u
.40(385 + 770) = 462
.40(1155) = 462
462 = 462 (correct)
or twice as much as z = x
2z = x
2(385) = 770
770 = 770 (correct)
Brayden will invest $ 462 in the Unix stock.

- anonymous

##### 1 Attachment

- anonymous

Thank you, could you help me with this one also?

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## More answers

- anonymous

I cannot open that file on my computer :/
I don't suppose you could write out the question ?

- anonymous

|dw:1362950973899:dw|

- anonymous

...............a..............................an
..............1..............................1
..............2..............................6
............. 3.............................11
............ . 4.............................16
there is a pattern here....can you see it ?
if you look at the an column, you can see that there is a difference of 5 in between each number.
So, 5 would equal (16 + 5) = 21
and 6 would equal (21 + 5) = 26
can you find it for 8 ?

- anonymous

I got 36, but how does that relate to the numbers in the first column?

- anonymous

Does it have to?

- anonymous

I am not sure....you might need to get a second opinion on this

- anonymous

Okay, could you help me with two more?
This is another recursive question:
Use the table to answer the question that follows.
n an
1 4
2 12
3 28
4 60
Which recursive equation represents the pattern?
an = an â€“ 1 + 2n
an = an â€“ 1 + 2(n + 1)
an = an â€“ 1 + 2n + 1
an = an â€“ 1 + 2n + 1
and this one which I got an answer for, but I need a second opinion:
Wyatt purchased a living room set for $4,109 with an 18-month deferred payment plan. The interest rate on the plan was 27.41%. The living room set must be paid off within three years after the deferment period. What is the total cost of the living room set if she made no payments during the deferment period and made only minimum payments after the deferment period?
$4,109.00
$6,170.03
$9,117.00
$13,675.50

- anonymous

I figured for the first one that I could just plug things in, but I don't know if I am adding an exponent or regular number. Do you know what I mean?

- anonymous

I believe you are adding a regular number and not an exponent.
As far as the other problem....I am not too good at these...Is the interest for the whole purchase or is it applied every month ?

- anonymous

I was told that interest accrues over the deferment period. I just submitted and got it correct, but thank you.

- anonymous

I am sorry I couldn't help....I am glad you got it correct :)

- anonymous

It's fine, thanks.

- anonymous

Do you want to help me with another one? Please if you know how lol
I got 18 years, but I am stuck on the months. To get that I used In (the inverse of log)
Carrie deposited $5,288.73 into a savings account with an interest rate of 2.3% compounded quarterly. About how long will it take for the account to be worth $8,000?
18 years, 10 months
18 years, 1 month
16 years, 5 month
18 years, 2 months

- anonymous

P (1 + r/n)^nt
5288.73 (1 + .023/4) ^ 4 * 18.083
5288.73 (1 + .00575) ^ 72.332
5288.73 (1.00575 ^ 72.332)
5288.73 (1.5139)
8006
I think it is 18 years and 1 month. 18 years and 1 month is 18 1/12 = 18.083.
when you plug it in to the compound interest formula, it comes out to 8006 in 18 years and 1 month. If I did that correctly.

- anonymous

Did you use In on your calculator?

- anonymous

lol....I had to

- anonymous

FLVS shows using a proportion to figure out the months.

- anonymous

I didn't use proportion. I changes a mixed number into a decimal

- anonymous

can you do that with a compound interest formula ?

- anonymous

|dw:1363037271683:dw|

- anonymous

2.4 months ? Rounded to 2 months ? I am not sure. It might be better for you to post this question under a brand new post. I am sure somebody good in math can help. My answer could be wrong...I got 18 yrs and 1 month. I am not real good at these kinds of problems. I am sorry

- anonymous

oh no that was from a different problem. i was just giving you an example, but I think you are right.

- anonymous

i did try that.

- anonymous

I wish you the best of luck :)

- anonymous

Okay thanks

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