Exponential Word Problems: Growth & Decay Growth Formula: y= a (1 +r) Decay Formula: y =a (1-r) where a = original number; r= rate (% in decimal form); t=time periods Write an exponential function to model pach situation. Find each amount at the end of the specified time. Round your answèrs to the nearest whole number. 1. A town with a population of 5,000 grows 3% per year. Find the population at the end of 10 years. 2. Amy makes an initial investment of $5000. The investment loses 13.5% each year. Find the amount Amy has at the end of 8 years.
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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