The model for the temperature of the juice, T , after t minutes by using Newton’s law of Cooling where a bottle of juice has initially a temperature of 70 ∘ F , it has left to cool in refrigerator that has temperature of 45 ∘ F , after 10 minutes the temperature of the juice is 55 ∘ F .
The model for the temperature of the juice, T , after t minutes by using Newton’s law of Cooling where a bottle of juice has initially a temperature of 70 ∘ F , it has left to cool in refrigerator that has temperature of 45 ∘ F , after 10 minutes the temperature of the juice is 55 ∘ F .
To calculate: The model for the temperature of the juice, T, after t minutes by using Newton’s law of Cooling where a bottle of juice has initially a temperature of 70∘F, it has left to cool in refrigerator that has temperature of 45∘F, after 10minutes the temperature of the juice is 55∘F.
(b)
To determine
To calculate: The temperature of the juice after 15 minutes where a bottle of juice has initially a temperature of 70∘F, it has left to cool in refrigerator that has temperature of 45∘F, after 10minutes the temperature of the juice is 55∘F.
(c)
To determine
To calculate: The time at which the temperature of the object is 55∘F where a bottle of juice has initially a temperature of 70∘F, it has left to cool in refrigerator that has temperature of 45∘F, after 10minutes the temperature of the juice is 55∘F.
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and
use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three
investment?
STEP 1: The formula for compound interest is
A =
nt
= P(1 + − − ) n²,
where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to
A = Pert
Find r and n for each model, and use these values to write A in terms of t for each case.
Annual Model
r=0.10
A = Y(t) = 1150 (1.10)*
n = 1
Quarterly Model
r = 0.10
n = 4
A = Q(t) = 1150(1.025) 4t
Continuous Model
r=0.10
A = C(t) =…
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