Question

Equations

Answer 1

which part are you stuck in ?

Answer 2

For part a :
since the total amount is 25000, the equation for total amount would be :
\[\large x+y=25000\]

Answer 3

Can you write out the equation for interest ?

Answer 4

So the system of equations are x+y=25000
.06x+.085y=2000

Answer 5

Excellent!

Answer 6

Yay !

Answer 7

Okay so thats part a

Answer 8

what about part b ?

Answer 9

`x + y = 25,000`

so if you increase `x`,
then `y` has to decrease right ?

Answer 10

because you have only 25,000
if u invest more in x, then the other investment has to reduce

Answer 11

Yes

Answer 12

In light of above information, which options can u eliminate ?

Answer 13

I can eliminate option 2 and 3

Answer 14

So it would be the first option?

Answer 15

Correct !!!

Answer 16

Yayy !!

Answer 17

Now part C

Answer 18

did u graph both the equations ?

Answer 19

No

Answer 20

See the graph :
http://prntscr.com/4ogiv7

Answer 21

Notice that both the equations are intersecting at (5000, 20000)

that means, you would get exactly 2000 interest when ur investment in x is 5000

Answer 22

anything more than that would decrease ur interest

Answer 23

Thank you my online graph was not cooperating !!

Answer 24

So the answer is 5000

Answer 25

you need to zoom out / set window size or something i think

Answer 26

yes 5000 is the max amount that u can invest in x

Answer 27

Yes ! Thank you ! This was alot simpler than i thought !!

Answer 28

geometry is indeed fun! yw :)

Answer 29

Also quick question if an equation is always true does that mean it has many solutions ?

Answer 30

yes its called identity and it will have infinitely many solutions

Answer 31

Thank you my assignment worded it differently so i was a little confused

Answer 32

np :)

Answer 33

Aww man i came across two more i dont understand

Answer 34

SHould i post it here or on another thread?