I desperately need the answers to this, it’s about compound interests

Step-by-step explanation:

n is the number of times the interest is compounded, so just figure out stuff like monthly and annually mean. (ex. since annually means once a year, n = 1)

a) 207.34 cm

b) 622 cm

c) 497.60 m/min

d) 4.02 min

Step-by-step explanation:

Radius of bike = 33 cm

Rear sprocket = 14 teeth

Pedal sprocket = 42 teeth (missing information in the question)

Transmission gear ratio = 42/14 = 3

a) How far does the bike travel for each complete revolution of the 14 tooth rear sprocket?

Distance traveled with rear wheel is

D = 2*π*r =2*π*33 = 207.34 cm

b) How far does the bike travel for each complete revolution of the front pedal sprocket?

Distance traveled with front pedal is

D = Transmission gear ratio * Distance traveled with rear wheel

D = 3*207.34 = 622 cm

c) If the rider pedal is at an angular velocity of 80 rpm, how far will she travel in one minute?

D = 80*622 = 49760 cm or 497.60 meters per min

Therefore, the rider will travel 497.60 m/min at an angular velocity of 80 rpm.

d) How long will the rider need to pedal at 80 rpm to travel 2 kilometers?

t = Distance/rate

t = 2000/497.60 = 4.02 min

Therefore, it will take the rider 4.02 mins to pedal at 80 rpm to travel 2 km.