Name:__________________________________________ Date:______________________ Block:________ PreCalculus S Review for Final Chapters 3 and 4 – Directions: Find the answer that best completes the statement or answers the question. Use the graph of to describe the transformation that results in the graph of Then sketch the graphs of and f g. g f. 1. = ; = f(x) g(x) 2. = = f(x) ex; g(x) 3. If the Laffite family deposits $8500 in a savings account at 6.75% interest, compounded continuously, how much will be in the account after 25 years? 4. Find the amount of time required to double an amount at 5.84% if the interest is compounded continuously. 5. Among various populations of plants or animals, diseases spread exponentially. Use the function to model the spread of Common Corn Rust through a field of 8000 corn plants, with equal to the number of days since the first case of the t disease. How many plants will be infected with Common Corn Rust after 10 days? 6. Jimmy invests $500 in an account with a 3% interest rate, making no other deposits or withdrawals. What will Jimmy’s account balance be after 10 years if the interest is compounded 2 times each year? 7. A corporate jet originally cost $17,550,000. If its value depreciates by 5 percent per year, what will its value be after 10 years? Evaluate each expression. 8. 9. 10. Find ln 375. Round your answer to four decimal places. Evaluate each expression.
Name:__________________________________________ Date:______________________ Block:________ PreCalculus S Review for Final – Chapters 3 and 4 Directions: Find the answer that best completes the statement or answers the question. Use the graph of f to describe the transformation that results in the graph of g. Then sketch the graphs of g and f. 1. f(x) = ; g(x) = 2. f(x) = ex; g(x) = 3. If the Laffite family deposits $8500 in a savings account at 6.75% interest, compounded continuously, how much will be in the account after 25 years? 4. Find the amount of time required to double an amount at 5.84% if the interest is compounded continuously. 5. Among various populations of plants or animals, diseases spread exponentially. Use the function to model the spread of Common Corn Rust through a field of 8000 corn plants, with t equal to the number of days since the first case of the disease. How many plants will be infected with Common Corn Rust after 10 days? 6. Jimmy invests $500 in an account with a 3% interest rate, making no other deposits or withdrawals. What will Jimmy’s account balance be after 10 years if the interest is compounded 2 times each year? 7. A corporate jet originally cost $17,550,000. If its value depreciates by 5 percent per year, what will its value be after 10 years? Evaluate each expression. 8. 9. 10. Find ln 375. Round your answer to four decimal places. Evaluate each expression.
Precalculus_S_Final_Review_Chapters_3_and_4.docx