Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant temperature of 230◦C. Being a mathematician, she knows that the temperature T of the pie after t minutes of baking will be given by T(t) = 230 − Ae−kt , where A and k are constants. After 18 minutes of baking she notices that the temperature of the pie is 138◦C, while after 36 minutes it is 184◦C. Determine the constants A and k.

Therefore , A=184

Step-by-step explanation:

Given function is

where T(t) is the temperature in °C and t is time in minute and A and k are constants.

She noticed that after 18 minutes the temperature of the pie is 138°C

Putting T(t) =138°C and t= 18 minutes

.....(1)

Again after 36 minutes it is 184°C

Putting T(t) =184°C and t= 36 minutes

.......(2)

Dividing (2) by (1)

Taking ln both sides

Putting the value k in equation (1)

⇒A= 184.

Therefore , A=184

step-by-step explanation:

this is not a question

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100   * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

                                                            = $25.99 - $6.49

                                                            =$19.5

total amount to be paid = $19.5