The formula for depreciation can be written as a geometric sequence. The formula for the value of a new car is . If you paid $28,000 for your car, will you be able to sell it for $13,000 after 6 years. Explain. Hint: You cannot sell a car for more than its depreciated value.

Q: Find the 5th term of the geometric sequence when a1=6,r=4

A: Given that, a1 = 6 r = 4 The 5th term of the geometric sequence is determined as shown below.

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A: Note: As you asked only subparts (a) and (b) so, i answered here only (a) and (b).

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A: Using Fermat's formula

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Q: pls answer 3&4

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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A: ax+by+cz+1=0 →1It makes an angle 60° with the line x=y=z. So we get sin 60° = a+b+c3Σ a2 or…

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A: Formula of Laplace transform  Lu(t-c)=e-cssLtkf(t)=(-1)kdkdsk(F(s))

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A: As per the question we are given a matrix A ∈ Cn×n and we have to show that : (A - λI)l • A = A •…

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A: Please find the attached solution

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A: False

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A: Contour map of the function is the collection of level curves. A level curve is drawn by taking f(x,…

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Q: lottery

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Q: Solve the following initial value problem: dx dt dy dt = = 3x - 4y 2x - y x(0) = 2, y (0) = -1

A: We will find eigenvalues and eigenvectors and then we wiil get the general solution.

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Q: Question 3 Assume that a sequence of integrable functions (fn)n converges pointwise to an integrable…

A: Please find the attached answer

Q: 2. sin x 3. dy dt dy dx + y cos x + 2xey + y² cos (2t) = 0 4. t²y' + 2ty - y³ = 0 - (1-x²ey) dy dx…

A: Since you have posted multiple questions , we will provide the solution only to the first question…

Q: Use the Laplace transform to solve the given initial-value problem. y" + 3y' = 8(t - 1), y(0) = 0,…

A: Given,       y''+3y'=δt-1,  y(0)=0, y'(0)=1.

Q: let's assume that: v = avi + a22+a33+a44 +⋯+a88 100 50 200 150 175 25 40 200 +as 100 50 200 150 175…

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Q: What would the image of (1, 2, 3) be under the transformation modeled by 1000 0 1 0 0 0010 1 2 3 1 ?…

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Q: (a) Show that S is path-connected, by constructing for any two points x, y € Sn an explicit path…

A: please find the attached solution

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