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#36454

applications

functions

exponential

hard

90 sec

A new type of super-cooling liquid is developed. Its temperature $T (t)$ , in degrees Celsius, $t$ minutes after being placed in a freezer, is modeled by the function $T (t) = A + B (0.9)^{t}$ . The freezer maintains a constant temperature of -20 degrees Celsius ( $°$ C). If the liquid's initial temperature was 100 $°$ C, what is the value of $A + B$ ?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.