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The grams of carbon-14 left aftert years, of an initial sample of 10 grams, is m

ID: 3028421 • Letter: T

Question

The grams of carbon-14 left aftert years, of an initial sample of 10 grams, is modeled by the equation A(t 10e'', where r -0.00012. How many grams of carbon-14 will be left in the sample after 10.000 years? (Round your answer to the nearest tenth of a gram.) 3.0 grams 4.0 grams 3.5 grams 2.5 grams D Question 15 This problem invoMes the formula A (t)- Aert. A (t) is where the amount of money accrued after t years when Ao dollars are invested at interest rate r How much money will have accrued if $30,000 is invested earning 13% annual interest (compounded continuously) for 25 years? $771,613.20 $771,713.20 $773,601.20 $773,710.20

Explanation / Answer

Question 1 :

grams of Carbon -14 left after 10000 years is 10*e(-0.00012*10000) = 3.0119 gms

answer is option 1 which is 3 gms

Question 2 :

money accured after 25 years = 30000*e^(0.13*25) = 773710.2

answer is option 4

Question 3 :

answer is option 4

which is (x+3)2 = x2+6x+9

Question 4 :

answer is option 2

(x-3/2)2 = x2-3x+9/4

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