Even 1 Curie of this material is extremely hazardotls, But hometown!!). compute

Question

Even 1 Curie of this material is extremely hazardotls, But hometown!!). compute how long it will take for the 1881 Ci of Ra28 to decay to 1 Curie. 4. A rabbit population doubles every 6 months. If the colony starts with 500 rabbits, how long will it take to reach 1500, assuming exponential growth? 5, (a) A $5000 investment is made for 30 years at 8% annual interest. How much will the investment be worth? (Hint: r is not .08 and must be calibrated using Q(1) = 1.08Q(0) ). (b) Additionally, the investor plans to add $1200 at the end of each year to his investment. How much will the investor have after 40 years? [Hint: use the (linear) DE = K + rQ, where r is solved for in part (a) and K is determined Q(1) = $6600.] 6. A loan of $100,000 is taken out at 5% annual interest (continuous interest) for 30 years.

Explanation / Answer

5. y=a b x

Here initial value, a=500

And it doubles after 6 months that is 1000 after 6 months

1000=500 b6

b=21/6

1500=500(2)t/6

3=2t/6

log 3=(t/6)log 2

t/6=log3/log 2

t=9.5 months

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