A car dealer will sell you the $16,450 car of your dreams for $3,290 down and payments of $333.97 per month for 48 months. What is the APR? (Round your answer to the nearest tenth of a percent.)

Q: Find an orthogonal change

A: Given,               Q=x12-4x1x2+x22

Q: dy x fan x 2. %3D

A: Introduction: The method of separation of variables is one of the basic methods that is used to deri...

Q: (Б) Show that 1 11 %D k(k + 2)(k +4) k=1 4 96*

A: We have to show ∑k=1∞1kk+2k+4 = 1196

Q: 5-7. Given the points D (5, 20°, −5) to S (2, −80°, 3): 5. find the unit vector in cartesian coord...

A:

Q: Solve for the Laplace transform of the following functions. 1. L{t(e' + e*)³}

A: It is known that: Lkeat=ks-a Ltkft=-1kdkdskLft

Q: If money is invested at 6% compounded semi annually, find the present value of P94 500 which is due ...

A: When the interest is compounded, then the formula used is A=P1+rnnt , where, A is the final amount, ...

Q: Find the change-of-coordinates matrix from B to the standard basis in R". 4 B= 3 -2 3 -6 P3=

A: Solution:-

Q: Find the truncation error of the following Maclaurin series given that it is truncated into 3 terms:...

A:

Q: Q2/ Find the solution of the fa Equations

A: Introduction: The solution to the homogeneous differential equation of order one (y'+p(x)y=q(x)) is ...

Q: 3. Approximate the integral -dx using 4 trapezoids.

A:

Q: $600 lent out at 12% simple interest for 50 years. How much is the total owed?

A: Given that  $600 lent out at 12% simple interest for 50 years. To find How much is the total owed

Q: The figure shows the flow of traffic (in vehicles per hour) through a network of streets. 400 - -600...

A: The following steps are used to find the solution of the system of equations AX=B, where A, X and B ...

Q: asider the following problem: Maximize Z = 4.x1 + 5x2 3.x3 (1) (2) subject to -xị X2 + 2х3 0, æ3 < ...

A:

Q: 3. Let {an} be a sequence of real number. Suppose that the power series on R below > an(x – a)" n=0 ...

A: Given that an be a sequence of real number. Suppose that the power series ∑n=0∞anx-an is converges a...

Q: Matrix C has a determinant of k and matrix D has a determinant of m. C and D are both 3 x 3 matrices...

A: Multipart:   We have , C  and  D are both 3 × 3 matrices. Also , detC = k  and detD = m. We need to ...

Q: f(t) = t(VE³ + 1)²

A:

Q: Complete the following tables. I - 5 I- 3 -6r + 9. ² – 6x + 9. 2.5 3.5 2.8 3.2 2.9 3.1 2.99 3.01 2.9...

A: Given two functions are fx=x-5x-3     and    gx=xx2-6x+9

Q: Which of the following is not possible in probability distribution? Select one: O a. p(x) =-0.5 O b....

A: The probability of an event is always greater than or equal to 0 but less than or equal to 1.

Q: 1. Consider f(x, y) = 2x² – y² +3x– y and U is any unit vector in R?. Find the maximum value of D7f ...

A:

Q: Consider the following planes. x + y + z = 3, x + 7y + 7z = 3 (a) Find parametric equations for the ...

A: The given questions are related with planes. Given two planes x +y + z = 3 and x + 7y + 7z = 3 . We ...

Q: 4.8 x 7

A: Solution

Q: Q.2) Evaluate cln 7 cln 2 cln 5 e(z+y+3) dzdydr In 6 In 4

A: Given triple integral is ∫ln6 ln7∫0ln2∫ln4ln5 ex+y+z dz dy dx   Note:- ex+y+z =ex ey ez

Q: Solve : 33x+5 = 92а+8 Ох— 21 O x = — 13 O x = –3 Ог3 —21 Ог— — 11 -

A:

Q: The differential equation a" + 2a - 5x = sint is equivalent to the system |a' = 5x – 2y a = y |y = 5...

A: To solve the system of the differential equation Differentiate  one of the equation  Now, simplify ...

Q: Calculate the difference in profit (Aprofit) between the case of CC1 and CC2 ( Aprofit = profitcci –...

A: Given that  Per module solar panel power = 10 w number of modules = 4 Total Power P tot = 10 x 4    ...

Q: a) Write an equation for a polynomial function that satisfies the following properties x-intercepts...

A: This is a problem of real-valued function.

Q: Question 2. Suppose that G is a group that has exactly one non-trivial proper subgroup. Prove that G...

A: Given G is a group that has exactly one non-trivial proper subgroup. To prove G is cyclic and |G|=p2...

Q: drlde = b[(drld®) cos 0 + r sin 0], r7) %3D I>9>0

A: This is a problem of IVP.

Q: Q3. By using mathematical induction, show that 52n – 1 is divisible by 24, for all positive | intege...

A: We can solve this using induction method

Q: -1 0 3- i The matrix 1 is classified as L3+ i 0 C. Hermitian A. Orthogonal B. Unitary D. Skew-Hermit...

A:

Q: m 2 and P(D) = 3 Find 10 Events C and D are mutually exclusive such that, P(C) = (a) P(C') (b) P(CUD...

A: Given P(C) = 25  and  P(D) = 310

Q: (iii) List the order of the vertices of the given tree if it follows (A) inorder traversal. (B) preo...

A:

Q: Evaluate the base (3-4i) logarithm of 10e^2.05i. Express your answer in rectangular form in 4 decima...

A: This is a problem of complex analysis.

Q: Let A be a 3x3 matrix where A?=A. Which of the following statements must be true regarding the matri...

A: Let A be 3 × 3 matrix such that  , A2 = A. Since we have given that , A = I3 and A = 0 are two matri...

Q: I. For z1 = 3 – j5 and z2 = -2 + find the rectangular form of the following: j. Im[- k. j23 I. j23

A:

Q: )     Is this reasoning for finding the solutions of the equation √(22 – 1) = x correct? 1.1. √(22–1...

A: Given equation: 2x2-1=x

Q: x+6 The solution of - 63 is 3 x = -6 x = -9 x = 3

A:

Q: What amount will be deposited in a bank at 10% compounded quarterly that will accumulate to P125 000...

A:

Q: Find the value of x that satisfies the following equation: (2x – 5yi) + (y + xi) = 8 - 7i В. 4 A. 2 ...

A: We have to find the value of x

Q: 2. Let V = Rª and let U be defined below: -x U = x, y E R x + y (a) Prove that U is a subspace of V....

A:

Q: If f is continuous on [a, b], then f E R (a) on [a, b].

A:

Q: Compute the mark-up price of instant noodles using the given data VCU/U = 20.00 FC = 500.00 US = ...

A: Mark up cost is given by the equation ; Markup cost=unit price·(1+mark up%100)

Q: Determine L'{F} +e 8. L- s+ 2

A: The Laplace transform of the function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt. If Lf(t) or F(s)is the...

Q: Let A e Rmxn,x, b € R, Q(x) = || Ax – b||3. (a) Find the gradient of Q(x). (b) When there is a uniqu...

A: Given : A∈ℝm×n , x, b∈ℝ, Qx=Ax-b22 To find : (a) gradient of Qx (b) a unique stationary point for Qx...

Q: If a is constant throughout [a, b], the integral Jf da does not exists. а

A: Given α is constant throughout a,b. Let P=x0=a&lt;x1&lt;…&lt;xn=b be an arbitrary partition of the s...

Q: If P(x) = - 0.01x3 +4x2 +70x-1000 is the profit function for a product. Find the rate of change of t...

A: Introduction: The formula for the marginal profit function of the profit function is given by, m(x)=...

Q: Use an Euler diagram to determine whether the argument is valid or invalid. All robins have wings. A...

A: We can make an Euler diagram for the first premise - All robins have wings  

Q: (Straightforward) Given that f(y) is as sketched below, find the flow vector u(x, y) and sketch by h...

A: Given that sketched graph of f(y). To find:-The flow vector v→(x,y) and sketch the flow field for th...

Q: Consider the curve f(x) = sin x - cox x +1  i) find f'(x) ii) Hence or otherwise, find the maximum...

A:

Q: (Зп+5 Find infimum of A |n E N} n+9

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.