The radioactive substance uranium-240 has a half-life of 14 hours. The amount A (t) of a sample of uranium-240 remaining (in grams) after t hours is given by the following exponential function. 14 A (t) = 3200 Find the initial amount in the sample and the amount remaining after 30 hours. Round your answers to the nearest gram as necessary. Initial amount: | grams Amount after 30 hours: grams

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Q: Solve for t. a. e -0.2t - 9 b. e kt. ce(In 0.4)t – 0.5 1.

A: Part a,Given,           e-0.2t=9

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Q: K A restaurant purchased a 72-in. range with six burners for $7378. The value of the range each year…

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Q: 50 2x + 5 245

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Q: The amount of money in an investment is modeled by the function A(t)= 700 (1.10198)^t . The variable…

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Q: Solve. log, (t) = 4 %3D

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Q: Fill in the table for the exponential function given by f (x) = 3 (2)" 0 1 C X -1 f(x) a a. -8 2 d…

A: Let's find value of a,b,c and d.

Q: A. Solve for the value of x in each exponential equatian: 1. 25- - 625 2. 3- 25-3 = 48 3. 25 - 10-…

A:

Q: Identify the initial quantity in this exponential function. P(t) = 3.6(1.04) 25 Select one: O 0.25…

A: A detail solution is given below.

Q: b. Water that is initially contaminated with a concentration of 9 milligrams of pollutant per liter…

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Q: II. Solve for the value of x in each exponential equation. 1. 5*2x = 2. 8*-2 = 14 3. 22*+4 = 4"-x…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Write the equation for the function: 25 (0, 20) 20 15 10 (1.2) -5 5. 10 15

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.