11. [-16.66 Points] DETAILS ZILLDIFFEQ9 3.1.010. MY NOTES ASK YOUR TEACHER When interest is compounded continuously, the amount of money increases at a rate proportional to the amount 5 present at timct, that is, S/dt = 15, wherer is the annual rate of interest. (a) Find the amount of money accrued at the end of 9 years when $3000 is deposited in a savings account drawing 45 annual interest compounded continuously. (Round your answer to the nearest cent.) $ (D) In how many years will the initial sum deposited have doubled? (Round your answer to the nearest year.) Years C) Use a calculator to compare the amount obtained in part (a) with the amount 5 sowo( 1 + f20.0525) ** that is accrued when Interest is compounded quarterly. (Round your answer to the nearest cent.) S-S Need Help? Road 12. 0/6.66 Points) DETAILS PREVIOUS ANSWERS ZILLDIFFEQ9 3.1.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric paintings and drawings on walls and ceilings of a cave in Lascaux, France. Use the information in Example 3 of Section 3.1 to determine the appropriate age of a piece of burned wood, if it was found that 87% of the C-14 found in living trees of the same type had decayed. (Round your answer to the nearest hundred years.) 115122 X years Need Help? Read It