Understand that a relationship between<span> two variables,</span>x and y<span>, is </span>proportional<span> if it can be expressed in the form </span>xy<span> = k or </span>y<span> = kx. ... Understand that the graph of a</span>proportional relationship<span> is a line through the origin whose slope is the unit rate (constant of proportionality)</span>
Depends if you want
1. find how much he will earn, find the differnce between that and 18000
2. see how much to invest till he will get 18000
A=
![P(1+ \frac{r}{n})^{nt}](https://tex.z-dn.net/?f=P%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%5E%7Bnt%7D%20)
A=futre amount
P=present amout
r=rate in decimal
n=number of times per year ccompounded
t=time in years
1.
A=?
P=9000
r=0.06
n=4 (quarter means 4 times per year)
t=2
?=
![9000(1+ \frac{0.06}{4})^{(4)(2)}](https://tex.z-dn.net/?f=9000%281%2B%20%5Cfrac%7B0.06%7D%7B4%7D%29%5E%7B%284%29%282%29%7D%20)
?=
![9000(1+ 0.015)^{8}](https://tex.z-dn.net/?f=9000%281%2B%200.015%29%5E%7B8%7D%20)
?=
![9000(1.015)^{8}](https://tex.z-dn.net/?f=9000%281.015%29%5E%7B8%7D%20)
?=10138.4 will be earned
18000-10138.4=7861.6 needed
2.
A=18000
P=9000+x
r=0.06
n=4 (quarter means 4 times per year)
t=2
18000=
![(9000+x)(1+ \frac{0.06}{4})^{(4)(2)}](https://tex.z-dn.net/?f=%289000%2Bx%29%281%2B%20%5Cfrac%7B0.06%7D%7B4%7D%29%5E%7B%284%29%282%29%7D%20)
18000=
![(9000+x)(1+ 0.015)^{8}](https://tex.z-dn.net/?f=%289000%2Bx%29%281%2B%200.015%29%5E%7B8%7D%20)
18000=
![(9000+x)(1.015)^{8}](https://tex.z-dn.net/?f=%289000%2Bx%29%281.015%29%5E%7B8%7D%20)
divide both sides by 1.015^8
15978.8=9000+x
minus 9000 both sides
6978.8 needed
if he willnot be investing any more, he needs $7861.6 more
if he will invest more he will need to invest $6978.8 more
Answer:x=-3 y=26
Step-by-step explanation:
3x+y=17.............(1)
x+2y=49..............(11)
From (11) x=49-2y
Substitute x=49-2y in 3x+y=17
3(49-2y) + y=17
Open bracket
147-6y+y=17
147-5y=17
Collect like terms
5y=147-17
5y=130
Divide both sides by 5
5y/5=130/5
y=26
Substitute y=26 in x+2y=49
x+2(26)=49
x+52=49
Collect like terms
x=49-52
x=-3
Answer:
basically multiply the prices by how much they filled up. That should give the answer.
Step-by-step explanation:
Answer:
y= -1
The Y-intercept is the point at which the line segment intersects with the Y-Axis.