1. The gross domestic product, G, of a medium-sized country was 300 billion doll

Question

1. The gross domestic product, G, of a medium-sized country was 300 billion dollars in 2007. Find the gross domestic product, G (n billions of dollars) in the year 2017 if G increases by a. 6% per year annually b. 18 billion dollars per year 2. A 25 mg dose of quinine is given to a patient to prevent malaria. Quinine leaves the body at a continuous rate of 5% per hour How much quinine is in the body after 12 hours? 3. What annual percent decay rate is equivalent to a continuous decay rate of 15 percent? Round to three decimal places 4. What continuous percent growh rate is equivalent to an annual growth rate of 12 percent? Round to three decimal places

Explanation / Answer

1) a. G=300(1+0.06)^10 billion dollar =537.25 billion dollar

b. G= 300+18*10 =480 billion dollar

2.Q=Qoe^(-rt)

here r=0.05 per hour

Qo=25 mg

Q after 12 hour = 25(e^-0.05*12)=13.72 mg

3. Let annual decay rate be R.

25R =25e^(-0.15)

R=86.07%

4. required growth rate=r

e^rt =12

put t=1

r = ln 12

r=2.48

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