Answer:
<em>The age at which both companies charge the same premium is 44 years</em>
Step-by-step explanation:
<u>Graph Solution to System of Equations</u>
One approach to solving systems of equations of two variables is the graph method.
Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.
The annual premium p as a function of the client's age a for two companies are given as:
Company A: p= 2a+24
Company B: p= 2.25a+13
The graphs of both functions are shown in the image below.
The red line indicates the formula for Company A and the blue line indicates the formula for Company B.
It can be seen that both lines intersect in the point with approximate coordinates of (44,112).
The age at which both companies charge the same premium is 44 years
9514 1404 393
Answer:
triangle = 8
Step-by-step explanation:
The right side can be factored so that you have ...
8 x 4 = (triangle x 7) - (triangle x 3)
8 x 4 = triangle x (7 - 3) . . . . use the distributive property
8 x 4 = triangle x 4 . . . . . . simplify
8 = triangle . . . . . . . . . . divide both sides by 4
The formula to find<span> a </span>circle's area<span> (radius)</span>2<span> usually expressed as π ⋅ r 2 where r is the radius of a </span>circle<span>. </span>Area<span> of </span>Circle<span> Concept. The </span>area of a circle<span> is all the space inside a </span>circle's<span> circumference.</span>
Answer:
The correct option is C. 14 ft
Step-by-step explanation:
To calculate the height, we will follow the steps below;
Formula is given to be: h = 2A / b1 +b2
where h = height of the trapezoid b1 and b2 are the bases of the trapezoid and A is the area of the trapezoid
From the question given;
Area A =329 feet² b1 = 30 feet b2 =17 feet
We can now proceed to insert the values into the formula
h = 2A / b1 +b2
h= 2(329) / 30 + 17
h = 658 /47
h=14 feet
Change of y / over change of x
Go over 4, up 45
B is your correct answer
Hope this helps!
