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April 18, 2014

April 18, 2014

Posted by **Hannah** on Monday, November 22, 2010 at 9:57pm.

- Math -
**Reiny**, Monday, November 22, 2010 at 10:32pmYou will need Newton's Law of Cooling formula, which is

T(t) = T_{m}+ (T_{0}- T_{m})e^(kt)

where T(t) is the current temperature of the object

T_{m}is the surrounding temperature and

T_{0}is the starting temperature

t is in minutes, and k is a constant

first we have to find the value of k

75 = 25 + (90-25)e^(10k)

50 = 65 e^(10k)

.76923 = e^(10k)

10k = ln .76923

k = -.026236

so now

50 = 25 + (90-25)e^(-.026236t)

25/65 = e^(-.026236t)

(-.026236t) = ln(25/65)

t = 36.42 minutes

- Math -
**Hannah**, Tuesday, November 23, 2010 at 9:05pmThank you!!!

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