Answer:
not a solution
Step-by-step explanation:
Substitute the point into the equation and see if it is true
y = 7x
4 = 7*1
4 = 7
This is not true so it is not a solution
Answer:
~ <em>50 centimeters of the poster ~</em>
Step-by-step explanation:
Let us plan out our steps, and solve for each:
<em>1. Given the information, let us create a proportionality as such:</em>
<em />
5 = 1 ⇒ x - centimeters of the poster
x 10
<em>2. Now let us cross multiply, and solve through simple algebra for x:</em>
5 * 10 = x,
x =<em> 50 centimeters of the poster </em>
<em></em>
(2x+y) * 2 = 4x+2y |
\/
4x+2y+3
2(1)+3
2+3
<u>5</u>
Answers:
- <u>24000 dollars</u> invested at 4%
- <u>18000 dollars</u> was invested at 7%
======================================================
Work Shown:
x = amount invested at 4%
If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%
She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account
This means we have
0.04x+0.07(42000-x)
0.04x+0.07*42000-0.07x
0.04x+2940-0.07x
-0.03x+2940
This represents the total amount of money earned after 1 year.
We're told the amount earned in interest is $2220, so we can say,
-0.03x+2940 = 2220
-0.03x = 2220-2940
-0.03x = -720
x = -720/(-0.03)
x = 24000 dollars is the amount invested at 4%
42000-x = 42000-24000 = 18000 dollars was invested at 7%
----------------------
As a check, we can see that
18000+24000 = 42000
and also
0.04x = 0.04*24000 = 960 earned from the first account
0.07*18000 = 1260 earned from the second account
1260+960 = 2220 is the total interest earned from both accounts combined
This confirms our answers.
Answer:
first is linear second is quadratic and third looks like linear
Step-by-step explanation:
1. its a continuous straight line, linear
2. parabola shaped, quadratic
3. again a straight line, so linear
