The table shows the yearly profits y (in thousands of dollars) that a company expects to make when they invest amount z (in thousands of dollars) in advertising. Amount Invested in Advertising, z (in thousands of dollars) 405 475 500 525 580 Yearly Profit, y (in thousands of dollars) 7200 8000 8100 7900 7300
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
22
![The table shows the yearly profits y (in thousands of dollars) that a company expects to make when they invest amount a (in
thousands of dollars) in advertising.
Amount Invested in Advertising, x (in thousands of dollars)
405
475
500
525
580
Yearly Profit, y (in thousands of dollars)
7200 8000
8100
7900 7300
22
a. Use a graphing calculator to find a quadratic model for the data. Round each coefficient to the nearest thousandth.
A quadratic model for the data is y =
b. Use your model to find the yearly profit when the company invests $425,000 in advertising. Round your answer to the nearest
thousand
The yearly profit is S](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F94574fdf-8aa5-40bc-86bd-f9aef804ab37%2F75f0c8ae-3712-491b-a82f-1f5a60dec023%2Fn099xn_processed.png&w=3840&q=75)
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