(a) Use the fact that the population was 250 million in 1990 (t = 0) to formulate a logistic model for the US population. (Assume the carrying capacity is 3000 million. Assume P is the population in millions, k is the relative growth rate, and t is the time in years since 1990.) 3000 P(t) = 1le¬kt '+1 (b) Determine the value of k in your model by using the fact that the population in 2000 was 275 million. (Round your answer to eight decimal places.) k =01044426 (c) Use your model to predict the US population in the years 2100 and 2200. (Round your answers to the nearest person.) year 2100 P = million year 2200 P= million
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.
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