Rodrigo buys a jacket that is on sale for 1/4 off of the original price of 80$. he has a coupon for an additional 10% off. how m
2 answers:
Answer:
Rodrigo pays $54.00 for the jacket
Step-by-step explanation:
The original price of the jacket = $80.00
Rodrigo buys the jacket that is on sale for off of the original price.
Discount on the jacket = × 80.00 = $20.00
Price after discount = 80.00 - 20.00 = $60.00
Rodrigo has a coupon for an additional 10% off.
The price after redeeming the coupon = 10% × 60.00 = 0.10 × 60 = $6.00
Rodrigo have to pay = 60 - 6 = $54.00
Rodrigo pays $54.00 for the jacket.
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Answer:
- k = 0.006
- T = 48 °F
Step-by-step explanation:
The initial temperature difference of 72 -34 = 38 °F is reduced to a difference of 72 -41 = 31 °F after 35 minutes. The exponential term in the temperature expression could have the factor ...
(31/38)^(t/35) = e^(-kt)
Taking the natural log, we find ...
(t/35)ln(31/38) = -kt
k = ln(38/31)/35 ≈ 0.00581711
To the nearest thousandth, this is ...
k ≈ 0.006
Using this in the equation for temperature, we have ...
T = 72 -38e^(-0.006t)
Filling in the desired value for t (80), we find the turkey temperature after 80 minutes to be about
T = 72 -38e^(-.006×80) = 72 -38e^-.48 ≈ 48.49
T ≈ 48 °F
The value of k is about 0.006, and the turkey temperature is about 48 °F.
