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A container of hot liquid is placed in a freezer that is kept at a constant...

A container of hot liquid is placed in a freezer that is kept at a constant temperature of 20 ∘ F. The initial temperature of the liquid is 160 ∘ F . After 5 minutes, the liquid’s temperature is 60 ∘ F . How much longer will it take for its temperature to decrease to 30 ∘ F?

In each step, round to 5 decimal places. Use editor to answer the questions below. Need not show extra work. Do not upload.

  1. Write the equation for temperature of the liquid, applying surrounding temperature in the general form.

  2. Applying initial condition, what is the value of C.

  3. Applying next condition, what is the value of k?

  4. How much longer will it take for temperature to decrease to 30 ∘ F
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