Answer:
Given: The following system:
4x + y − 2z=18 ......[1]
2x-3y+3z = 21 ......[2]
x-3y=6 ......[3]
we can write equation [3] as;
3y = x-6 ......[4]
Multiply by 3 in equation [1] to both sides of an equation we get,
or
12x+3y-6z=54 ......[5]
Substituting the equation [4] in [2] and [5] we get;
2x-(x-6)+3z=21 or
2x-x+6+3z=21
Simplify:
x+3z=15 .....[6] [combine like terms]
12x+x-6-6z =54
Simplify:
13x-6z=60 ......[7] [Combine like terms]
On Solving equation [6] and [7] simultaneously,
x+3z=15
13x-6z=60
we get the value of x
i.e, x=6
Substitute the value of x in equation x+3z=15 we get
6+3z=15 or
3z=9
Simplify:
z=3
Also, substitute the value of x=6 in equation [3] we get the value of y;
x-3y=6
6-3y=6 or
-3y = 0
Simplify:
y = 0
Therefore, the solution to the system of three linear equation is, (6, 0 , 3)
Answer:
18.19.
First you have to subtract 15 from 100, giving you 85%. You then multiple 85% to the $20, giving you $17. You then add the 7 to 100, giving you 1.07%, then you multiple that to the $17 and you end up with $18.19.
Answer:
<h2>
14.7 %</h2>
Step-by-step explanation:
let us total the amount in her portfolio
Company A was worth $2690
Company B was worth $2980.
Total = $5670
when The stock in Company A decreases by 20% she will have
$2690 *0.8= $2152
Company A will worth $2152
when The stock in Company B decreases by 10% she will have
$2980 *0.9= $2682
Company A will worth $2682
In all after the decline in are portfolio is $2152+$2682= $4834
the difference for the original amount in her investment is = $5670-$4834
= $836
The total percentage decrease in the investor's stock account
= (836/5670)*100= 0.147*100= 14.7 %
I think the correct answer would be 1/64. <span>A </span>negative exponent<span> just means that the base is on the wrong side of the fraction line, so you need to flip the base to the other side. It is calculated as follows:
8^-2 = 1/8^2 = 1/64
Hope this answers the question. Have a nice day.</span>
Simple, since your equation is y=35x+45, it's quite simple to see what is the y-intercept.
It's written in y=mx+b form, the b being the y-intercept.
Thus, your y-intercept, is 45.
