Tommy bought a new sports car for $45,000. It depreciates by 20% per year. 17. Fill in the table: year 0 Value of car $45,000 1 2 3 4 What is the exponential function that describes the above data? Using answer from #18, how much will the car be worth in 6 years? Determine how long it will take for the sports car to be worth $10,001.

Q: Problem 3. (1 point) Consider the following initial value problem: y" - 5y' 6y= sin(4t) Using Y for…

A:

Q: Let Q be an n x n orthogonal matrix. Let u € R" be an eigenvector of Q and define u² := {v € R¹¹\u •…

A: If is an orthogonal matrix, then .

Q: 40 30- 20 15- 5 1 y = b(r) 2 y = a(t) 3 (a) How much water will be in tank A at time t = 4.5 ? 4 5 2…

A:

Q: Calculate the measurements of the acute angles of a right triangle whose sides measure A, B, C…

A: The 10 random numbers chosen between 1 and 20 are: .And also these numbers are denoted by…

Q: If you had invested  $14,000 on January  1, 2009, at 6 % interest compounded quarterly , how much…

A:

Q: (c) A cone and a sphere are given by the equation, z = √x² + y² and x² + y² + z² = 6z, respectively.…

A:

Q: Verify that {₁,₂} is an orthogonal set, and then find the orthogonal projection of y onto…

A:

Q: You and a companion are driving a twisty stretch of road in a car with a speedometer but no…

A: We have given:time, t0102030405060708090100110120velocity, v0324627373133112221244840Hence, time,…

Q: The following ordinary differential equation is given. dy dx = x + y y (0) = 1 Find y (0,1) with…

A:

Q: Suppose you want to purchase a home for $525,000 with a 30-year mortgage at 4.94% interest. Suppose…

A:

Q: 4) The temperature U(x, t) as a function of position x and time, t, of a metal bar obeys the…

A: (A)In the interval [0,2π] , there are two minimum and two maximum points.

Q: SOLVE PLEASE √ √25-x²

A:

Q: 12 =[-1²] Let A = @ without using A-1 6 Solve © Solve and B = [ determinants, compute. 24 235 -2 Ax…

A:

Q: DON'T USE CHATGPT Solve the following equation by variation of parameters (In the answer instead of…

A: We solve the given differential equation by variation of parameters.

Q: Let B = {b₁,b₂} and C = (C₁,C₂} be bases for R². Find the change-of-coordinates matrix from B to C…

A:

Q: Consider the following second-order equation y" - y' - 6y = f(t) with initial condition y(0) = 3 and…

A:

Q: Find fl(z) in single precision, where the exact value of a is given by (2¹5+24+2-8+2⁹+2-¹¹).

A: Note that: In single precision, a floating-point number is represented using 32 bits, divided into…

Q: (2) Use backtracking (showing the tree) to solve the Queen problem on this weird chessboard (where…

A: Use backtracking (showing the tree) to solve the Queen problem on this weird chessboard (where…

Q: 3. Consider the Maclaurin expansion cos(x²) = numbers x. (a) Use this expansion to give the first…

A: Given that =+.........Using this series we find the integration and the error term.

Q: DON'T USE CHATGPT Solve the following equation by canceling operator y"+y = 3x sin(x) (In the answer…

A: First of all we find the auxiliary equation for the corresponding homogenous equation. Find the…

Q: eigenvalues 4 - 2 1 0 -1 Tota- 23 3 -2 -3 4 2 1 0 1-11 -2 5 -2 3 -2 - 1 1 -2 4

A:

Q: The locally linear approximation of the differentiable function f at x = 3 is used to approximate…

A: An approximation value is an overestimate if it is higher than the true value. A linear…

Q: Evaluate (counterclockwise) C 30z² - 20z+5 (2z-1)² (5z -1) dz = $ typing format please 302² 202 +5.…

A: (.) Given,  (.) Cauchy residue theorem: If D is a simple connected domain and  is a simple closed…

Q: Find the Fourier series of the following functions (on [-T, π]). (1) sin²x.

A: Since there is more than one question, find the solution to the first one.(1) f(x)=sin2(x);…

Q: A withdrawal is made at the end of each quarter-year for 6 years from a savings account paying 2.3%…

A:

Q: Evaluate (x + y)ds where C is the straight-line segment x = 4t, y = (12-4t), z = 0 from (0,12,0) to…

A: Let  where C is straight line segment  from .We know thatwhere

Q: + eg -2 16 5 + 3 2 1 -1 -2 -3 2 Identify the function whose graph appears above as f(x) = = a tan( b…

A: Given graph of function isWe have to identify the function whose graph appears above as

Q: Chose 10 random numbers with values between 1 and 20, and submit the first 10 numbers as an answer…

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: Find the width and height of an older 46-inch television whose screen has an aspect ratio of 4:3.…

A: For a right angled triangle, using the Pythagoras theorem, it can be written that , where, h is the…

Q: 2. Let CR where is subspace. Let 2 be spanned by the vectors V₁ = (1, 1, 1, 1), v2 = (1,-1,2, 2), v3…

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

Q: A child flies a kite at a height of 80 ft, the wind carrying the kite horizontally away from the…

A:

Q: Obtain the line spectrum of the coefficients Fn of the Fourier exponential series of the pulse…

A: To find the Fourier coefficients of the given periodic function , we need to use the formula for…

Q: Find the absolute maxima and minima of the function on the given domain. T(x,y) =x² + xy +y²-9x+7 on…

A: Given that the function is                             on the rectangular plate To find the absolute…

Q: Find the mass of the solid bounded below by the circular cone z=√x^2+y^2 and above by the hemisphere…

A:

Q: Find the Laplace transform of the following piecewise function, f(t) Plot the function f(t). f(t) =…

A: We have to find the Laplace transform of the function .

Q: Question 2. Prove that ₹n³ + n³ +n is an integer for every integer n.

A: 2.  To prove that is an integer for every integer n.

Q: Consider the function in the graph to the right. The function has a maximum of at x = The function…

A:

Q: Question 4. Find all positive integers n such that (n) is not divisible by 4.

A:

Q: A loan is repaid with payment of $7209 at the end of each quarter for 11 years. If interest on the…

A:

Q: Keith manages the fire department of a certain city. The fire department is adding 75 firefighters…

A: (a) Standard divisor = Now we have to find a standard quota for each district.

Q: 1. If someone is 22 years old, deposits  $5000 each year into a Roth IRA for 48 years at 6 %…

A: Since you have posted a multiple question according to guidelines I will solve first(Q1)  question…

Q: Let A be a 3 x 3 matrix: A = a11 a12 a13 a21 a22 a23 a31 a32 a33 The entries aij, i, j = 1, 2, 3 are…

A:

Q: +43 has eigenvalues A₁ = 1 and A₂ = 5. Let A = 2 2 -1 1 3 -1 You can assume, and do NOT need to…

A:

Q: Use Green's Theorem to find the counterclockwise circulation of F around the closed curve C.…

A:

Q: ff 2y dS where S is the portion of y² + z² = 4 Evaluate s between x=0 and x=3-z

A: We have to evaluate the integral  where S is the portion of  between  and .

Q: If f (x) = 8x-1 x²+4 then f is one to one.

A: We prove the function is one -one

Q: f(x) = 3x + 21, -3<x<0

A:

Q: The table to the right shows the digits of the octal system (base eight) and their equivalents in…

A: To convert the binary number (11001000)₂ to octal, group the binary digits into sets of three from…

Q: Consider the following limit. 5x x² + 5 lim 00--x (a) Use the definition of limits at infinity to…

A:

Q: how would you solve for x of the congruence equation? also why would (ax-12)/32 = 1 on the second…

A: