Round your answer to three decimals. will it take for an investment to double in
ID: 3138494 • Letter: R
Question
Round your answer to three decimals. will it take for an investment to double in value long 3 a) continuously? A) 3.747 years if it earns 9 .25% compounded 34 B) 11.877 years C)7.493 years D) 7.781 years Solve the problem. 35) Sandy manages a ceramics shop and uses a 750 F kiln to fire ceramic greenware After turning off 35) her kiln, she must wait until the ceramic pieces. If its temperature gauge reaches 195"F before opening it and removing room temperature is 75 F and the gauge reads 700 F in 8 minutes, how long t she wait before opening the kiln? Assume the kiln cools according to Newton's Law of Cooling (Round your answer to the nearest whole minute.) A) -380 minutes B) -273 minutes C) 80 minutes D) 180 minutes Write the augmented matrix of the given system of equations. 2x + 3y-33 D) 5x + 4y 65 2 5133 3 465 C) 2 3)33 B) 33 312 65 54 4 5 33Explanation / Answer
35).As per the Newton’s llaw of cooling, we have U= T+(U0-T)ekt , where U0 is the initial temperature of the kiln, U is its temperature after t minutes, T is the room temperature and k is the constant of cooling. Since the gauge reads 7000 F after 8 miunutes, hence, 700 = 75+(750-75)e8k or, 625 = 675e8k or, e8k =625/675 =25/27. Now, on taking natural log of both the sides, we get 8k ln e = ln25 –ln 27 or, 8k = 3.218875825 – 3.295836866 = -0.076961041 so that k = -0.009620130141.
Let the gauge read 1950 F after t minutes. Then 195 = 75+(750-75)e-0.009620130141t or, 120 = 675 e-0.009620130141t or, e-0.009620130141t = 120/675 = 8/45. Now, on taking natural log of both the sides, we get -0.009620130141t ln(e)=ln 8-ln 45 or, -0.009620130141t = 2.079441542-3.80666249 = -1.727220948 so that t = 1.727220948/0.009620130141 = 179.54 minutes ( on rounding off to 2 decimal places). Thus, Sandy will have to wait for 179.54 minutes.
36). The augmented matrix of the given linear system is
2
3
33
5
4
65
Option D) is the correct answer.
2
3
33
5
4
65
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