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Solve the problem 35) The size of the bear population at a national park increases at the rate of 4,3% per year. If the 35) size of the current population is 108, find how many beans there should be in 5 years. Use y = yo 0.043t and round to the nearest whole number A) 138 B) 132 134 D) 136 Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions 36) log x +log (x2-9)- log 7-log(x-3) 36) B) kg - 9Xx-3) 7 A) log #fx 83) log243) D) log 92 7x-3) 10 - X Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator 37) in 37) A) x In B) In D) 7lnWK ܕܐܼܲܘ 38) logy 38) (7x) A) 1 B) 7 C) 1.log, D) 39) 1063 39) los 7 A) log, 13 B) los 13 - log? D) los, 7-los, 13 1053 7.log13 Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic 40) log (x +25)- log2log 5x+1) 40) expressions. Give the exact answer 41) Decide if the system of equations in two variables is linear or nonlinear. (y=x2-2 1x2+y2-3 A) Linear B) Nonlinear Write the form of the partial fraction decomposition of the rational expression is not necessary to selve for the constants 42) (x - 5x2+x+5) A) ABC 420 - 431 Solve the problem 43) A system for tracking ships indicated that a ship lies on a hyperbolic path described by 522-y2-145. The process is repeated and the ship is found to len abyperbolic path described by y2-2.2-2. If it is known that the ship is located in the first quadrant of the coordinate system determine its exact location A) (-7.-10) B) 0.10) 60.) D) (-10,-7)

Answer 1

35 Given equation = yo 0.0437 y y bear population at time t yoh initial population of bear Given that yo - 108 We have to find at tas y = 0.043t 108 e Putting t = S in above equation. y 0.043 XS 108 e 0.215 108 e 108 x 1.2399 133.9051 off to the nearest whole rounding number J = 134 option is corect CS Scanned with CamScanner