Samuel sells furniture. He receives a base salary of Php 2400 a week plus a commission on his weekly sales. One week he sold Php 20,000 worth of furniture. His combined salary and commission was Php 3400. What is his rate of commission? Simple Solution and Answer:

Q: solve for the function, x^3- 0.03x^2+2.4x10^-6=0, assuming stopping criterion of es=0.1

A:

Q: 4dx + (x -y + 2)²dy = 0 %3D

A:

Q: t/2 Evaluate using Wallis' Formula: sin? x cos5 x dx

A:

Q: 4- Fit a cubic spline to the following data to determine y @ x =1.5 2 4 7 10 12 y 20 20 12 7 6.

A:

Q: ii) Solve (x D² - 3xD+4) y = x given that y(1)= 1 and y'(1) = 0.

A:

Q: 3. Let A be a set and P(A) the power set of A. Complete the following proof that there is no onto fu...

A:

Q: 3 4 S 2. 4 4 2 2 - 4 3 2 A = 4 3 3 4 2 - 4 - 2 2 2 2 3 4 3 + 2 2 3. 2.

A:

Q: Consider the vector space V = R with respect to the usual vector addition and usual scalar multiplic...

A:

Q: 1-18i C. Find the complex numbers z that satisfy the equation 4z – 37 = 2-i

A: Given 4z - 3z = 1-18i2-i

Q: Express the complex number equation below into exponential form. 2i (3 + i) (1 + iv3) = -8 2e# ) (2e...

A:

Q: From the premise that a linear operator is diagonalizable with respect to a given base, it cannot be...

A: (1). Consider the given statement. "From the premise that a linear operator is diagonalizable with r...

Q: a) [4/ (x+ 1)] – [2/ (2x – 1)] b) (1/y) + (1/2y) + (2/3y) c) (2a b/3z?) ÷ (ab?/2z)

A:

Q: Cost Function: The total cost (in hundreds of dollars) of producing x gourmet espresso makers per we...

A: 1) total cost function is given by Cx=6+4x+4 for 0≤x≤30 find C'x then find C'15 differentiate the fu...

Q: 00 S 6-3** dx

A:

Q: 21 z, Z

A:

Q: f(z) = ,2 < ]z[ < 3 (z – 2)(z – 3)

A:

Q: Find the length of the arc of the curve 4y2 = 9x3 from the origin to the point (2,3/2).

A:

Q: Find the area bounded by y = sin2(x) and y = sin³ (x) from sI< %3D

A:

Q: 7. Consider the Taylor polynomial T;(x) for f(x)= VTat a = 4. Use Taylor's inequality to estimate th...

A: This is a problem of Taylor's polynomial and approximation.

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. 2n +1 Σ -1...

A: We have to find if the given series is absolutely convergent, conditionally convergent or divergent....

Q: [3/ (x- 4)] = [(3x + 36) / ?] [4/ (2x + 5)] = [? / (2x? – x– 15)] [(x + 2) / (3x + 2)] = [(3x? + 4x ...

A:

Q: Use the cutting plane method to solve the following IP: max z = x1 + 2x2 x1 + x2< 10 s.t. 2x1 + 5x2 ...

A: First draw the line x1+x2=10 and mark the region for the inequality x1+x2≤10.

Q: 2x3 dx (x² + 1)2 4.

A: To evaluate ∫2x3(x2+1)2dx

Q: 2 Howin show that

A: This is a problem of partial derivative and chain rule.

Q: Solve the Lagrange's partial differential equation z* p – xy(x2 + yz)q = xz(x² + yz). 4 xz(x? + yz).

A:

Q: Prove that 1 + p'2 p4 where primes denote differentiation with respect to 's'. 1. x"2 + y"2 + z"2 %D

A:

Q: Leb P:(2,2)-R bealfinedby feyex Show that atacat miniAum Point matmum Piont

A:

Q: Evaluate the moment Mx and My of the region bounded by x + 2y = 6, x = 0 and y = 0.

A:

Q: Problem 9. Let V1 = , V2 > V3 = 2 V4 = be vectors in R³. (i) Explain whyY you can deduce from Proble...

A: As per the question we are given four vectors v1 , v2 , v3 , v4 and we have to show that the subsets...

Q: Consider the differential equation: In(y') • (y') - (y')3 When solving the previous equation, the pa...

A: We are given a nonlinear differential equation and its parametric solution in x(z) , y(z) From that ...

Q: Consider the system of linear equations below. Solve for D. 2A - B + 3C - D = 5 A + B - 2D + E = 0 -...

A:  

Q: Create ONE WORD PROBLEM for each topic below and show the solution. Ratio Proportion Rate Decimal Pe...

A: This is a problem of counting.

Q: 16 8 Find the value of x. SU (2x+21) 54° (5x+61 10 Find the length of KNJ. 48 J M

A:

Q: Instruction: Solve the following system of homogeneous linear differential equations. Present your s...

A:

Q: Find the value of cos-1(2) using Euler's formula.

A: We find cos-1(2) , by using Euler's formula.

Q: The following system has an infinite number of solutions. Write the solution in terms of y and z. 2w...

A:

Q: three point  x,y,z have coordinates (3,0), (-2,3), and (5,4) respectively. find the equation of the ...

A: The three points are given as ;             x = (3, 0) ,   y = (-2, 3) ,   z = (5, 4) We have to fin...

Q: Choose the true statement. a) For a quadratic relation, the second differences are increasing. O b) ...

A: We want to find true statement from given statements.

Q: The value of 1 for which the following equation has a non-trivial solution (x)= 2[ K(x,t)6(;)dt,0 S ...

A: Solution:-

Q: 2. Derive an O(h4) five-point formula to approximate the second derivative f (xo) that uses f(xo – h...

A:

Q: A local Chocolate Factory produces 3 varieties of Chocolate A, B & C. Ron bought a chocolate of each...

A:

Q: |=1|+ |= 2 | |- |- | 3. If z3 + z,, show that VI +

A:

Q: A. In the figure below, CE and LA are diameters of ON. Use the figure to answer the following. If mL...

A:

Q: 27 1+1 Evaluate the expression (2i – 1)² Express the answer in rectangular form. 1+i,

A: The rectangular form of a complex number is z=x+iy. The conjugate of the complex number: z=x+iy is z...

Q: 1-18i C. Find the complex numbers z that satisfy the equation 4z – 3z = 2-i

A: We have to find complex number Z

Q: Hiw.f Phavethat 22 22=o far the function dy z -2y Coos 2X 2. P cxxy) = Ln JxZeyZ

A:

Q: nd the volume generated by revolving bout the line x = -1 the area bounded by (y + 2)2 = 4(x + 2) an...

A: Solution:-

Q: Given the series: 3 k k=1 does this series converge or diverge? O converges diverges If the series c...

A:

Q: 5. Find the Taylor series for f(x) = centered at a = 4. 1.3.5..... (2n – 1) |1+E(-1)"- (r- 4)" n! 23...

A:

Q: Instruction: Solve the following system of homogeneous linear differential equations. Present your s...

A: Given that  x'=3x+5yy'=-x-yx0=5,y0=-3 We have to solve the system.