Find the lump sum that must be deposited today to have a future value of $24,000 in 6 years if funds earn 8% compounded quarterly. a. $14,921.28 b. $15,651.36 c. $18,652.30 d. $28,651.12

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.