A mortgage of £160,000 is repaid over 20 years by equal monthly payments in arrears. The interest rate is i = 8.5% p.a. effective. Compute the monthly payment £ Number Enter an answer correct to 2 decimal places.

Q: Let S be a finite set of distinct nonzero vectors in R¹2, and |S|=the number of vectors in the set…

A: given that⇒S be finite set ofdistinct non zero vectors in ℝ12 and |s|=14

Q: af Use the limit definition of partial derivatives to find dx af ax f(x,y)=< (0,0) sin (x6+y5) 4 4…

A:

Q: If the straight line x - 2y + 1 = 0 intersects the circle x² + y² = 25 at points P and Q, then…

A:

Q: Let A be a 5 x 3 matrix. If b = a₁ + a₂ = a₂ + a3 then what can you conclude about the number of…

A: Let A be 5×3 matrix. Given that b=a1+a2=a2+a3. To determine number of solutions of the linear system…

Q: Find the absolute change and the relative change in the following case. The average sale of a house…

A:

Q: In a population of 100,000 people, 30,000 are infected with a virus. After a person becomes infected…

A:

Q: 9. A particular solution of y" +9y = 3 sec 3x is (a) z = cos 3x ln | sec 3x + x (b) zcos 3x ln | sec…

A:

Q: Exercise 1.5.6 (Challenging): Explicitly construct an injection from [0, 1] × [0, 1] to [0, 1]…

A: Sol:- The surprising result is that there exists an injection (one-to-one function) from the unit…

Q: please help me solve the pattern   1.) 5, 10, 15, x, 40 2.) 1, 3, 4, 7, 9, x, 16

A: 1) The sequence is given as           5, 10, 15, x, 40       We see,              first number = 5…

Q: 1. Find the x-intercepts of the following quadratic equations by graphing their corresponding…

A: Given quadratic functions are: a) x2+5x+4=0 b) x2-25=0 We have to find the x-intercepts by graphing…

Q: 8. Use polar coordinates to integrate f(x, y) = x² + y2 over the region in the first quadrant…

A:

Q: Find the number of common tangents to the circles x\power{2}+y\power{2}+2x+8y-23=0 and…

A: For x2+y2+2x+8y-23=0 ,C1≡(-1,-4),r=210for x2+y2-4x-10y+9=0,C2≡(2,5),r=25now C1C2=distance between…

Q: Plot the Euler's Method approximate solution on [0,1] for the differential equation y' = 1 y² and…

A:

Q: answer the ff

A: 2. Given the differential equation,                        (1+y2)dx+(1+x2)dy=0.

Q: b) Estimate the critical initial population ye below which the population will become extinct. NOTE:…

A:

Q: Tangent Lines to Intersecting Surfaces In Exercises 15-20, find parametric equations for the line…

A:

Q: Students budget their time for a day. Use the circle or pie graph to express.

A: Given: It is given that students budget their time for a day. To find: We have to express the given…

Q: Find the compound amount and interest if 25,000 is invested for 1 year at the rate of 11.5%…

A: INTRODUCTION Compound interest is the interest that is calculated not only on the initial principal…

Q: that if a is congruent

A:

Q: In Exercises 48 and 49, determine whether the lines x = p + su and x = q + tv intersect and, if they…

A:

Q: Find X. x3 = t₁ tER 10-716 00 - 11/2 _131 0173 0 0 -322 0 A 15 0 0 10 173/10 00001-63/5

A: Given ,                1 0-76 0 0  -131120 173 0 0  -322150 00 1 0  173100 00 0 1 -635   let  x =…

Q: 1d³y dx3 a.) x² + secxy c.) (y³ − y + 1)dx + - 4x √x+1 b.) x(y' - xy) = (x² + x−²)y5 e.) y' - x =…

A:

Q: the circle x\power{2}+y\power{2}-6x-10y+k=0 does not touch or intersect the coordinate axes,and the…

A: The equation of the circle is                  x2+y2-6x-10y+k=0    ...(1)whose center is C(3,5) and…

Q: (c) Let a be a positive real number and let b₁ = for all n. Prove that bn converges. 2=1 (d) Let x…

A:

Q: Problem: First prove that all degree-at-most-2 functions P<2 = {f(x) = ax² +bx+cla, b, c = R} is a…

A: We need to prove that all degree-at-most-2 functions P≤2={f(x)=ax2+bx+ca,b,c∈R} is a vector space.…

Q: 7. For the differential equation (12x)y" + 2y' + (2x - 3)y=e=" (a) Write the associated homogeneous…

A:

Q: olve using methods of undetermined coefficients. (D2 - 2D +2) y 24 ex sin 3x when x=0, y=0,…

A: Given the differential equation         (D2-2D+2) y=24exsin 3x,    when x=0, y=0, y'=0.

Q: Suppose you take out a 45-year $250,000 mortgage with an APR of 6%. You make payments for 3 years…

A: Monthly payment (PMT) on original loan can be calculated with the help of PV of an Annuity formula…

Q: Show that the matrix is invertible and find its inverse. 9] A-1 = A = sin 8 [₁ cos Ꮎ -cos 0 sin 0

A:

Q: Equilibrium: Exercise Finding the equilibrium; solving systems of linear equations Given are the…

A: Advance maths

Q: For the function of (x,y) f(x,y) = |x| + |y| draw the level set f(x,y) = 1, f(x,y) = 2.

A:

Q: Find the equation of the chord of the circle x\power{2}+y\power{2}=a\power{2} passing through the…

A: Let P(2,3) be the given point and M be the middle point of a chord of thecircle x2+y2=a2 through…

Q: 1. Let h : R → R be some twice-differentiable function. Define f(x, y) = h(x) for all x ≠ 0. Show…

A:

Q: Find the equation of the circle which cuts the three circles x² + y²-3x-6y + 14 = 0, x² + y² − x −…

A: Let the equation of the circles are  S1≡x2+y2-3x-6y+14=0.S2≡x2+y2-x-4y+8=0S3≡x2+y2+2x-6y+9=0.

Q: 33. Let V - P3 be the vector space of polynomials of degree <3, and let p₁(x) = (2-x)² and p₂(x) =…

A:

Q: R T 2 S (a) The point is a critical point. (b) The point is a local minimum. (d) The point is a…

A: The given contour diagram of some function fx,y is

Q: Find x such that the matrix is singular. ^-[34] A = -6 -4 X =

A:

Q: house. At what time did she stop to buy gas?

A: We are given a graph between the amount of gas in tank of Sharon's car with respect to time and we…

Q: The electrical resistance of a circuit changes depending on whether the resistors are connected in…

A:

Q: Suppose f(x,y)=x/y, P=(0,−1) and v=3i+3j. A. Find the gradient of f. ∇f= ____i+____j Note: Your…

A: Given that  fx,y = xy ,  P  0, -1   and  v = 3 i + 3 j (a)  The gradient of f is  grad f or  ∇f =…

Q: Use the formula for continuous compounding to compute the balance in the account after 1, 5, and 20…

A:

Q: True or false: If {n}1 is a sequence of real numbers, then converges if and only if lim n = 0. 12→∞0…

A: This question is about sequence and series.

Q: Compare A and B in three ways, where A=52,874 is the number of deaths due to a deadly disease in the…

A:

Q: a) estimate fx (1,0) and fy (1,0), explain b) estimate fx (0,0) and fy (0,0), explain

A: The contour map of a function is given as follows, where the level curves are labelled by the…

Q: Represent the moments of the region R bounded by the function f(x) = x + 1 and g(x) =1 - x x² and…

A:

Q: (4) (a) Find the intersection point of the line L; x = 3+t, y=-1-2t, z = -1-2t with the planes x +…

A:

Q: In this exercise, we estimate the rate at which the total personal income is rising in a…

A:

Q: Inverse Hyperbolic Functions of Complex Numbers Partial answer according to the book is…

A: There are many solutions. Taking principal arguments for intermediate calculation.

Q: Subtracting a number from half its square gives a result of 11. What is the number?  Express you…

A:

Q: The least squares fit line for the points (2, 3.6), (1, 1.8), and (3,5.1) has form ŷ = mx + b.…

A: The given 3 points are  2, 3.6,  1, 1.8  and  3, 5.1 fm, b be the sum of the square errors between…