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Solve the problem ) The long jump record, in feet, at a particular school can be modeled by f(x) = 20.125 In (x+1) where x is the number of years since records began to be kept at the school. What is the record for the long jump 6 years after record started being kept? Round your answer to the nearest tenth A) 25.0 feet B) 22.6 feet 24.1 feet D) 24.6 feet Solve the problem. The size of the raccoon population at a national park increases at the rate of 4.3% per year. If the 1) size of the current population is 157, find how many raccoons there should be in 4 years. Use the function f(x)=1570.0431 and round to the nearest whole number A) 190 B) 154 186 D) 188 Use the compound interest formulas A=P 1 and A=Peft to solve 16 Suppose that you have $10,000 to invest. Which investment yields the greater retum over 6 years: 8.75% compounded continuously or 8.9% compounded semiannually? A) Both investment plans yield the same retum B) $10,000 invested at 8.9% compounded semiannually over 6 years yields the greater retum C) $10,000 invested at 8.75% compounded continuously over 6 years yields the greater Evaluate or simplify the expression without using a calculator log 0.001 A)- C)3 D) -3 return 50 Solve the problem. The function A -Age-0.01155% models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 900 pounds of the material are placed in the vault, how much time will need to pass for only 199 pounds to remain? A) 155 years B) 150 years 160 years D) 300 years The function f(x)=600(0.5)</80 models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. Find the amount of radioactive material in the vault after 140 years. Round to the nearest whole number A) 525 pounds B) 171 pounds 178 pounds D) 404 pounds st Solve the problem. GL A system for tracking ships indicated that a ship lies on a hyperbolic path described by 5x2-y2 - 145. The process is repeated and the ship is found to lie on a hyperbolic path described by y2-22-2. 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) (107) D) (-10,-)

Answer 1

46.

f(x) = 20.1 + 2.5ln(x+1)

for x = 6,

f(6) = 20.1 + 2.5ln(7) = 20.1 + 4.9 = 25 ft

47.

Put t = 4 years in the eqn

f(4) = 157e^0.043*4 = 157*1.187 = 186

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