ICM
Chapter 3 Review Name:_____________________________1. Given a deposit of $1200 invested at 4.9% interest.a) Find the value after 4 years compounded monthly. b) Find the value after 4 years compounded continuously.2. A pride of 14 lions was released into a wild environment that can only hold up to 200 lions. If there were 60 lions in 10 years, how many lions will there be in 20 years? 3. Little Jack Horner sat in a corner eating his Christmas pie. He stuck in his thumb and pulled out an ancient Spanish artifact which he sold for $325.nnHe put this money into an account that earns 3% interest compounded continuously. How much INTEREST did he earn in 10 years? 4. Little Miss Muffet, sat on a tuffet, eating her curds and whey. Along came a spider who sat down beside her and told her to invest $23,000. Many years later it was worth $31,900. What interest rate, would she have needed to have made the same amount at the end of ONE year?5. In 1985, 10 fish were placed in a pond that can support 600 fish. In 2004 the pond had 371 fish. What year will the population reach 538 fish?6. This little piggy went to the market and got an interest rate of 4.3% compounded monthly. This little piggy stayed home and surfed the net to find an interest rate of 4.6% compounded semi-annually. Investing $700, which little piggy got the better deal?7. Little Bunny Foo Foo (LBFF) hoppin’ through the forest scoopin’ up the field mice and boppin’ ‘em on the head. If the field mouse population started at 13,500, but decreased exponentially at a rate of 14% every time LBFF came around, what is the field mouse population after 12 LBFF visits?8. Eight deer were introduced to a forest 17 years ago. There are 99 deer in the forest at the present time. The forest can support a maximum of 500 deer. When does the population reach 350?9. A population of 3500 mice is decaying exponentially at a rate of 3% per month. a) How many mice will be left in 2 years?b) How many years will it take for the population to be less than one fifth of the original?10. Anthony invests $6500 into an account that pays 5% interest compounded three times a year. What is the equivalent APY?11. A population of rabbits is increasing exponentially at 25% per year. If after 5 years the population is 33 rabbits, and assuming there is no growth limit, what was the initial amount of rabbits?12. Peter Piper picked a peck of pickled peppers and sold them for $1000. He invested this money at an interest rate of 3.75% compounded continuously.a) How much money will he have in 4 years?b) How many years will it take for his account to triple? Round to 2 decimal places.13. A population of 20 ants is growing exponentially at a rate of 4% per month. Assume there is no growth constraint.a) How many ants will there be in 5 years?b) How many years will it take for the population of ants to grow to 500?14. Dan invests $1000 and needs to triple his money in order to buy a car. If the account earns 8% compounded continuously, how long will this take him?15. Find the exponential model (WITHOUT A CALCULATOR) that contains the points (0, 12) and (4, 36).16. Find the y-intercept and asymptotes of fx=181+5(.2)x17. State the domain and range in interval notation. fx=6log(-8x+2)18. Describe how fx=log3x-5+1 is a transformation of gx=lnx.19. Solve for x.a) e9=ex31e9 b) 23x5=16220. Solve for x.a) 4lnx-ln2=ln128 b) log4256c) log23x+1=6 ................
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