Answer:
The system of equations representing the situation are
with solutions
Step-by-step explanation:
Let us call 
the number of associates and 
the number of partners. If each associate costs $600 and each partner costs $1200, and it cost the law firm a total of $15,000, then we have
.
Since the law firm assigned at total of 16 lawyers, we have
.
Thus, the system of equations representing the situation are
And the solution to this system is found by solving for in the second equation and substituting its value in the first equation:
We put this value into and solve for 
I guess you want to know the total amount after one year. If so, the interest yielded after one year is 350 x 4% = $14 and her new capital becomes
350 (initial capital) + 14 (interest over 1 year) = 350+14 = $364
If the given quantities are 10 quarters 17 dimes 40 nickels 15 pennies then the total money would be 6.35 dollars.
<h3>What is the fundamental principle of multiplication?</h3>
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Quarters are worth .25 of a dollar
10 x .25 = 2.5
Dimes are worth .10 of a dollar
17 x .10 = 1.7
Nickels are worth .05 of a dollar
40 x .05 = 2
Pennies are worth .01 of a dollar
15 x .01 = 0.15
Add this together
2.5 + 1.7 + 2 + 0.15
= 6.35
Learn more about multiplication;
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Answer:
the width is 360 ft
Step-by-step explanation:
The computation of the width of the flag is shown below:
Let us assume the width be x
So the length would be x + 340
And, the perimeter is 2,120 ft
So the formula is
Perimeter = 2(length + width)
2,120 = 2(x + 340 + x)
2,120 = 2x + 680 + 2x
2,120 = 4x + 680
4x = 2,120 - 680
x = 360
hence, the width is 360 ft
Given:
A parabola opens up or down and its vertex is at the point (h, v).
To find:
The equation of the parabola.
Solution:
A parabola opens up or down. It means it is a vertical parabola.
The vertex form of a vertical parabola is
...(i)
Where, a is constant and (h,k) is vertex.
The vertex of given parabola is at point (h,v). Putting h=h and k=v in (i), we get
The required equation of the parabola is .
Therefore, the correct option is A.
