<span>Let us start with the percentage of premium paid by Javier. Since the employer pays 43%, the remaining 57% (100-43) is paid by Javier. Now let us find out how much is deducted from his paychecks during the year. In one month, $157.38 x 2 = $314 .76 is deducted by the employer. So in 12 months, the amount equal to 57% of the health premium will be $314.76 x 12 = $3777.12.
If $ 3777.12 is 57% of a certain number, to find the number, multiply $3777.12 with the reciprocal of the fraction. (57/100)
So the unknown number = $3777.12 * 100/57 = $6626.53
Javier's total annual health premium, therefore, is $6626.53</span>
Answer:

Step-by-step explanation:
Let the numbers be x and y
<h3>Given condition:</h3>
x + y = 48 --------(1)
y = 7x -------------(2)
Put Eq. (2) in (1)
x + 7x = 48
8x = 48
Divide 8 to both sides
x = 48/8
<h3>x = 6</h3>
Put x = 6 in Eq. (2)
y = 7 (6)
<h3>y = 42</h3>
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Answer: C
Step-by-step explanation:
The formula for a volume of a square-based prism is L² x h
If we insert 2 for L
We get 2² x 12 = 48
Same thing if we insert 3
3² x 12 = 108
As L is increasing, the volume is also increasing, so options A and D are out
The growth of the volume is not linear; it's exponential, eliminating B to make C the answer
If you want something visual, you can put y=12x² into a graphing calculator.
Answer:
The value of x component changes at a rate of
units per second
Step-by-step explanation:
We are given that 
Differentiating on both sides with respect to time we get

It is given that
Solving for
we get

Call the notebooks x, and the pencils y.
<span>3x + 4y = $8.50 and 5x + 8y = $14.50 </span>
<span>Then just solve as simultaneous equations: </span>
<span>3x + 4y = $8.50 </span>
<span>5x + 8y = $14.50 </span>
<span>5(3x + 4y = 8.5) </span>
<span>3(5x + 8y = 14.5) </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 24y = 43.5 </span>
<span>Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) </span>
<span>(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. </span>
<span>Then substitue into equation : </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 5 + 42.5 </span>
<span>15x = 42.5 - 5 = 37.5 </span>
<span>15x = 37.5 </span>
<span>x = 2.5 </span>
<span>15x + 24y = 43.5 </span>
<span>15(2.5) + 24(0.25) </span>
<span>37.5 + 6 = 43.5 </span>
<span>So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.</span>