A certain store sells two types of pens: one type for $2 per pen and the other type for $3 per pen. If a customer can spend up to $25 to buy pens at the store and there is no sales tax, what is the greatest number of pens the customer can buy? B 9 10 11 12 20

Q: What present value amounts to $10,000 if it is invested for 10 years at 6% compounded annually?

A:

Q: 3. Let f: R² R2 where f(x, y) = (y³, x + y) and c = →>> = (0, 1).

A:

Q: c. Maximize z = X₁ + X2 Subject to Primal Dual Problem 2x1 + x₂ = 5 3x1 - x2 = 6 X1, X2 unrestricted…

A:

Q: 7. let r(t) be the position vector of a body which moves in 3-space along the unit circle in the…

A:

Q: Ronald rents a car from Cheap Rent-a-Car for $25 plus $0.05 per mile. Dixon rents a car from Great…

A: Ronald rents a car from for $25 plus $0.05 per mile. Dixon rents a car for $40 plus $0.03 per mile.…

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A:

Q: 1,-3, 4, 1, -3, 4, 1, −3, 4, ... In the sequence above, the first 3 terms repeat without end. What…

A:

Q: Using the ratios below, answer these questions: a) How long should the hand be if the big toe is 6…

A:

Q: Find the equation of the conic that satisfies the given conditions and sketch the graph showing all…

A: A Hyperbola The hyperbola is a conic section that is created by the intersection of a right circular…

Q: {(a, b) ab >0} | {(a, {(a,b) | a² > b} ¯ {(a,b) | a² = b² (mod 7)} b)|a>b-1}

A:

Q: Question Determine a pair of equations that can parameterize the curve-2x² = 5y-6, using a(t) = t +…

A:

Q: Use Newton's method with initial approximation x₁ = -1 to find x2, the second approximation to the…

A:

Q: f(x, y, z)= 7(x² + y²) x²-y² --x²+y²=1

A: For the given fig. To find the integral representation in cylindrical form as well as to evaluate…

Q: Let 2 A = -3 Find the unique solution to the system X' = AX satisfying the initial condition [2¹].…

A: Let X=xy X'=AXA=-320-3X0=-12x0=-1y0=2X'=AX⇒dxdtdydt=-320-3xy⇒dxdtdydt=-3x+2y-3ydxdt=-3x+2y…

Q: 2. Solve the following linear system (use any method): 1 1 2) (90-0 1-1 1 2 1 1 3

A:

Q: NO HANDWRITING E) The sum of the first n terms of an AP is 373.5. Use the appropriate formula to…

A: Sum of first n terms of AP is 373.5 And   First term (a) = 21.5   Common difference (d) = 5   We…

Q: For a given 3 x 3 matrix A, [A-31]~ 0 1 0 00 2 [A+71] ~ 10 www 0 1 00 8 0 a) Based on this, we know…

A:

Q: y = tanx 12 **

A: Below you have graph of y=tanx

Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A: Let b be the length along the ground  and l along the perpendicular and the hypotenuse be h From…

Q: Scenario: Students are taking a right cylindrical can with capacity/volume, e.g., a soup can, paint…

A:

Q: 57. Find UA; and A; if for every positive integer i, a) A₁ = {-i, -i +1,...,-1, 0, 1, ..., i -1, i).…

A:

Q: ......................M........ ****ces are ..........

A:

Q: #7) Show that f(-) is a convex function if and only if epi(f) C R"+¹ is a convex set. Let us denote…

A: Kindly refer to Step 2 for the solution.

Q: 3. Find the Taylor series of the function f(x, y) = e cos(2y) - 7 at the point (ln(2), 0) up to and…

A:

Q: Find the multiplicative inverse of 3 Modulo 58.

A:

Q: 1. Find these terms of the sequence (a), where a = 2-(-3)" +5". a) do d) as b) a₁ c) a₂

A: Given that the sequence an is such that an=2.-3n+5n

Q: A forest fire is found at midnight. It covers 1000 acres then. It is spreading at a rate of f(t) =…

A: Rate of spread of f(t) = df(t)/dt So, df(t)/dt = 4√t      => df(t) = 4√tdt Integrating both…

Q: 1. If u(x, y, z) find = 21 v(x, y, z) Jºu əx³əy² əzª x³y³ 25 and ე10 əx¹ Əy¹ əz² and w(x, y, z) Jw…

A:

Q: Define the distance function ds(): R" → R, and show that |ds(x) — ds(y)| ≤ ||x − y|| V x, y ER".

A:

Q: Use Green's Theorem to evaluate the line integral (3x² - 4xy) dx + (y³-x2) dy where C is the…

A: Let C be the positively oriented , the line integral is given as ∫CPdx+Qdy The line integral is…

Q: Use the formula  C(n, x)pxqn − x to determine the probability of the given event. (Round your…

A:

Q: Find a basis B for the span of the given vectors. 3 0 HG 0 1

A:

Q: absolutely, converges conditionally, or diverges.  Show all your work and state your reasons…

A:

Q: 12. Draw a frequency curve for the following data. Monthly Wages (in Rs.) 0-1000 1000-2000 2000-3000…

A: Monthly Wage in Rs No of family 0-1000 21 1000-2000 35 2000-3000 56 3000-4000 74 4000-5000…

Q: Find the mass and center of mass of the solid E with the given density function p. (x, y, z)= E is…

A: Given the solid E with the given density function ρ. E is the tetrahedron bounded by the places…

Q: Find the particular solution. x(y² - 1)dy + (y³ - 3y)dx = 0; when x = 1, y = 2

A: Particular solution to the differential equations

Q: Given the function f(x) = x³ - 3x², find x for which f'(x) = 0 1 2 2 x = 0; x = 1 4 x = 0; x = 4 3 x…

A: Given : f(x) = 1/2x^3 - 3x^2             Because f(x) = y               Now we derivative f(x) with…

Q: Let S be the parametric surface: r(u, v) = (u2, u cos v, u sin v). Find the tangent plane equation…

A: The given problem is to find the tangent plane equation for the given parametric surface at given…

Q: а? качи аги дх2'' дуг, + = 0

A: The given problem is to find the solution for the given elliptic dirichlet PDE with given initial…

Q: Use the formula  C(n, x)pxqn − x to determine the probability of the given event. (Round your…

A:

Q: Evaluate the double integral 2y2 the equations y = x², y = 0, and .x = 2. 64 3 O 256 O 32 5 2 3…

A:

Q: Find the norm of f(x) = √√1-x² on the interval [- 1,1]. 2√3 3 O O O W|N H

A:

Q: Question 7. - 18 (s - 2)² is btet, where b, c and w are constants and t represents time. The inverse…

A: The given problem is to find the inverse Laplace transform of the given function and also find the…

Q: equivalence M x N ~ N x M

A: Let f:M×N→N×M such that f(m,n)=(n,m) Let (m1,n1) and (m2,n2) belongs to M×N. Now, f(m1,n1)=f(m2,n2)…

Q: Consider the following. 9 9 0 9 0 9 0 9 What is the rank of the matrix with the given vectors as its…

A:

Q: A new revolution in research that encourages collaboration, the sharing of data, and the ability to…

A:

Q: In a survey of 3098 adults aged 57 through 85 years, it was found that 80.2% of them used at least…

A: Let the total number of adults aged 57-85 years old in a survey be n = 3098 . Let the proportion of…

Q: Give bases for row(A), col(A), and null(A). 1 0 -1 ^= [18] A 6 row (A) col(A) null(A) 000 11 ↓ 1 ㄷ

A:

Q: Two of the eigenvalues of the matrix are A₁5 and X₂ = 6. A 1.0 5 0 0 0 -1 -1 -1 5 -1 -1 5-1 -1 5 -1…

A:

Q: List all numbers x such that 0≤x<100 and x ≡ [3,1] mod [4,5]

A: Given,           0≤x&lt;100, and  x ≡ [3,1] mod [4,5].