Apopulation of 1,750 cheetahs decreases by 11% per year. how many cheetahs will there be in the population after 10 years? round your answer to the nearest whole number.

a. 4969

b. 486

c. 546

d. 1640

The answer is C. 546.

If a population decreases by 11%, that means that 89% (100% - 11% = 89%) of cheetahs remains each number. 89% can be expressed as 0.89, so to calculate the change of the population, we must each year multiply the number of cheetahs by 0.89.

After 1 year:     1750 * 0.89 ≈ 1558
After 2 years:  1558 * 0.89 ≈ 1387
After 3 years:  1387 * 0.89 ≈ 1234
After 4 years:  1234 * 0.89 ≈ 1098
After 5 years:  1098 * 0.89 ≈ 977
After 6 years:  977 * 0.89 ≈ 870
After 7 years:  870 * 0.89 ≈ 774
After 8 years:  774 * 0.89 ≈ 689
After 9 years:  689 * 0.89 ≈ 613
After 10 years:  613 * 0.89 ≈ 546

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Ithink it would be 1.24 pounds