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# The values y (in billions of dollars) of U.S. currency in circulation in the years 2000 through 2007 can be modeled by y = −451 + 444?

ln t, 10 ≤ t ≤ 17, where t represents the year, with t = 10 corresponding to 2000.† During which year did the value of U.S. currency in circulation exceed $610 billion?

### 2 Answers

- MichaelLv 71 month agoFavorite Answer
The values y (in billions of dollars) of U.S. currency in circulation in the years 2000 through 2007 can be modeled by y = −451 + 444 * ln t?

10 ≤ t ≤ 17, where t represents the year, with t = 10 corresponding to 2000.† During which year did the value of U.S. currency in circulation exceed $610 billion?

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−451 + 444 * ln t = 610

Add 451 to both sides

444 * ln t = 1061

Divide both sides by 444

ln t = 2.3896396396

Anti log both sides

e^(ln t) = e^2.3896396396

t = e^2.3896396396

use calculator

t = 10.9095618605

Since t = 10 is the year 2000

During which year did the value of U.S. currency in circulation exceed $610 billion?

2000 <––––––