as you solve the following problems and write complete answers, including approp

Question

as you solve the following problems and write complete answers, including appropriate units. Mark left Pranav's house and traveled toward his friend's house. One hour later Stefan left traveling 10 km/h faster in an effort to catch up to him. After three hours Stefan finally caught up. What was Mark's average speed? Rebecca put $24,000 in an education account on the day her daughter was born. If the account earned 6.45% interest compounded monthly, what was the total in the account when her daughter turned 18? Round the final answer to the nearest cent.

Explanation / Answer

1) Lets assume Mark avg speed was x km/hr.

Distance traveeled by Mark in 4 hrs = 4*x

Stefan's speed = x+10 km/hr

Distance travelled by Stefan in 3 hrs = 3*(x+10)

4x = 3(x+10)

4x = 3x +30

x = 30 km/hr (Mark's avg speed)

2) Amount = $24000

Interest = 2.4%

Amount (compounding continously) = Principale^(rate*time)

= 24000e^(0.024*18)

= 24000*1.54

= $ 36960

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