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2 years ago

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A laptop computer is purchased for $2350. After each year, the resale value decreases by 35% . What will the resale value be aft

er 4 years?

1 answer:

pentagon [3]2 years ago

5 0

$\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &2350\\ r=rate\to 35\%\to \frac{35}{100}\dotfill &0.35\\ t=years\dotfill &4\\ \end{cases} \\\\\\ A=2350(1 - 0.035)^{4}\implies A=2350(0.965)^4\implies A\approx 2037.87$

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Answer:

202

Step-by-step explanation:

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3 years ago

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The solution of a certain differential equation is of the form y(t)=aexp(7t)+bexp(11t), where a and b are constants. The solutio

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Answer:

Step-by-step explanation:

Given that the solution of a certain differential equation is of the form

$y(t) = ae^{7t} +be^{11t}$

Use the initial conditions

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$1=a(1)+b(1)\\a+b=1$ ... I

ii) y'(0) = 4

Find derivative of y first and then substitute

$y'(t) = 7ae^{7t} +11be^{11t}\\y'(0) =7a+11b \\7a+11b =4 ...II$

Now using I and II we solve for a and b

Substitute b = 1-a in II

$7a+11(1-a) = 4\\-4a+11 =4\\-4a =-7\\a = 1.75 \\b = -0.75$

Hence solution is

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3 years ago

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Step-by-step explanation:

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2 years ago

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Two-thirds Times a number plus 7 equals 7 minutes the number. Find the number

skelet666 [1.2K]

2/3x + 7 = x-7
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3 years ago

In a certain soccer tournament you are playing once with each of the other nine teams. In every match you get 3 points if you wi

bixtya [17]

Answer:

0.430625=0.431

Step-by-step explanation:

Answer:

0.430625 = 0.431

Step-by-step explanation:

Let W represent winning, D represent a draw and L represent a loss.

12+ points can be garnered in each of the following ways.

6W 0D 0L

5W 1D 0L

5W 0D 1L

4W 2D 0L

4W 1D 1L

4W 0D 2L

3W 3D 0L

The probability of getting 12+ points is the sum of all these 7 probabilities.

Knowing that P(W) = 0.5

P(D) = 0.1

P(L) = 0.4

P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625

P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875

P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075

P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375

P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075

P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15

P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025

The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625

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