## 09 Mar 1. $1000 is invested in account which offers 1.25%, compounded continuously. Determ

1. $1000 is invested in account which offers 1.25%, compounded continuously. Determine how much is in the account after a) 5 years, b) 10 years, c) 30 years, and d) 35 years. Round to the nearest cent. 2. Solve the equation: ????????????5 (18 − ???? 2 ) = ????????????5 (6 − ????). 3. For ????(????) = 4 − ????; ????(????) = 1 − ???? 2 ????????????????: ????) (???? ∘ ????)(−3); ????) (???? ∘ ????) ( 1 2 ) . 4. If possible, find the inverse of ????(????) = ????−2 3 + 4. 5. Find all real solutions for: −???? 3+4???? ????2−9 = 4????. 6. Solve the rational inequality. Express your answer using interval notation; 4???? ???? 2+4 ≥ 0. 7. Find all real solutions for: 3(???? 2 − 3) 2 − 2 = 10. 8. Use the give complex numbers for: ????) ???????? ; ????) ???? ???? ∶∷ ???? = 4????, ???? = 2 − 2????. 9. a) Find x- and y- intercepts, if they exist; b) Determine the domain and range; c) List the intervals on which the function is increasing, decreasing or constant for: ????(????) = |????+4| ????+4 . 10. a) Find the point-slope form and b) the slope-intercept form of the line with the given slope and passing through the given point: ???? = 2 3 , ????(−2, 1).