Question

— Solve. 21) An endangered species of fish has a population that is decreasing exponentially (A=Agekt). 21) The population 6 years ago was 1600. Today, only 900 of the fish are alive. Once the population drops below 100, the situation will be irreversible. When will this happen, according to the model? (Round to the nearest whole year.) A) 23 years from today B) 22 years from today C) 25 years from today D) 24 years from today Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. 22) 105 (x+2)-1 22) A) (-11) B) (13) D) 23) Solve the problem. 23) The function f(x) = 1 +15 In (x + 1) models the average number of free-throws a basketball player can make consecutively during practice as a function of time, where is the number of consecutive days the basketball player has practiced for two hours. After how many days of practice can the basketball player make an average of 9 consecutive free throws? A) 206 days B) 787 days 208 days D) 785 days Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places 24) log 2 63.2 A) 0.7215 B) 2.8799 C) 0.9995 D) 1.6686 24) 25) Solve. 25) The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment years after 2000 is given by the exponential growth model A - 51000.057 How much did you initially invest in the account? A) $290.70 B) $2550.00 55100.00 D) 55399.14 Solve the system of equations. 26) x- y +32=5 3x +22 x+3y + z=5 A) 12. 10 B) 12,0,1) C) 10.0.2 D) I0.1,2) Write the partial fraction decomposition of the rational expression 27) 12x3 26) 27) — DI X-1 2.3.1 Graph the inequality 28) y s-3x+3 29)

Answer 1

Logo (2+2) = -1 -> K+2 = 6-1 - 11 6 x = - 2 + 1 - 4 B) { - 12 tog te 26. K-8 +32 = 5 3x + z = 2 K +37+ z = 5 4U + 10Z = 20 32 + z = 2 294 - 0 - n=o. Z = 2 f = 0+3.25 = 1 D ) so, 1, 2} + 5 n-1 12x +3 K² - 1 - 50 + 2 x² + x + 1 27) + A) -5042 1²+ 2+1 x-1