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The age T, in years, of a haddock can be thought of as a function of its length L, in centimeters. One common model uses the natural logarithm, as shown in the following equation.

T = 19 − 5 ln(53 − L)

 

How long is a haddock that is 12 years old? (Round your answer to two decimal places.)

 Nov 10, 2015
 #1
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The age T, in years, of a haddock can be thought of as a function of its length L, in centimeters. One common model uses the natural logarithm, as shown in the following equation.

T = 19 − 5 ln(53 − L)

How long is a haddock that is 12 years old? (Round your answer to two decimal places.)

 

T=195ln(53L)|+5ln(53L)T+5ln(53L)=19|T5ln(53L)=19T|:5ln(53L)=19T5|e()53L=e19T5|(1)53+L=e19T5|+53L=e19T5+53 L=53e19T5 T=12 years oldL=53e19125L=53e75L=53e1.4L=534.0551999668L=48.9448000332

 

A 12 years old haddock is 48.94 cm long.

 

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 Nov 10, 2015

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