An insurance company sells an insurance policy to individuals for $1,000 per year. If the person dies that year, then the insurance company will pay the family $100,000. If the person becomes disabled and unable to work that year, then the insurance company will pay the family $50,000. Actuaries at the insurance company estimate that 1 out of 1,000 policy holders will die each year, and 2 out of 1,000 policy holders will become disabled. What is the expected profit per person per year for the insurance company?

Q: 8. A company wants to assign 8 salespeople to 4 regions of a state (see table below). Region…

A:

Q: If the set W is a vector space, find a set S of vectors that spans it. Otherwise, state that W is…

A:

Q: Match the differential equation with its direction field. y ′ = 8 − y Give reasons for your answer.…

A:

Q: Revenue In January, the Left Coast Bookstore chain sold 700 hardcover books, 1,600 softcover books,…

A: A matrix is the arrangement of numbers in rows and columns such that they form a rectangular array.…

Q: Find the limit by relating it to the definition of the Riemann integral for an appropriate function…

A:

Q: SET UP the surface integral ffxz dS where S is the part of the surface x=4-y²-2² in front of the…

A:

Q: f(x) = e -t t

A: The given function ft=e-tt. We have to find the Maclaurin series of expansion and integrate from 0…

Q: Let L₁ = √2x + y - 1 = 0, L₂= √2x -y + 1 = 0 For a fixed constant λ let C be the locus of a point P…

A:

Q: dx dt ) Solve the system with x(0) -6 2 -20 6 2 -1:1 X

A:

Q: Prove that 17Z ∪ 7Z is countabl

A: A set X is said to be countable if there exists a bijection between f: X -> N, where N is the set…

Q: Consider the vectors U₁ of R3. The vector v = {U₁, U₂} if x is: 10 O 3 02 O None of these X 8 Select…

A:

Q: 8. Evaluate the line integral [x²dx + xe¯dy where C is the closed path along the triangle in the…

A: Here we have to find given line integral using green's theorem.

Q: 3 "1 All elements of S are odd numbers. a) What is the converse of this statement ? ? b) what is the…

A: "All elements of S are odd number "

Q: Alicia has 6 weeks to prepare for her final exam and at most 50 hours available to study over that…

A:

Q: IV. Numerical Integration - Find the area bounded by the curve f(x) = (sin x)/x from - 2 to 2

A:

Q: 10. Let f(x, y, z) be the density function of the V where V is the solid enclosed by z = 4-x² - 4y²…

A: Given That : fx, y,z is a density function and V is the solid encloses by z=4-x2-4y2 in the first…

Q: Let W₁ = 1, W₂ = √3, W3 = 2 O 0 O 1 0 . ارے and let W= spon! W₁, W₂, W₂}, a) Determine if the set…

A:

Q: Consider the following initial value problem: Using Y for the Laplace transform of y(t), i.e., Y =…

A: The given problem is to find the solution for the given initial value problem by using the Laplace…

Q: Find a, b, and n in the expansion of (a + b)" if the first three terms of the expansion are 729,…

A:

Q: It's hot out there! You made a batch of 24 frozen ice pops and would like to select a group of 3 to…

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

Q: Please prove these statements. I don't need examples. I need proper proofs

A:

Q: Σo (+) = 1 + x + ² + +... a) Use that fact to find the Maclaurin series of g(x) = e-7. b) Then use…

A: According to Bartleby guidelines I did the first three subparts

Q: The slope of the Families of curves is equal to the product of its dasciss a and the reciprocal OF…

A: Form a differential equation using given information then solve that.

Q: change 2/2 0 integral b of coordinater 5125 0 125-x2 x y dydx

A:

Q: 2. Solve in three methods (x² + 6y²)dx - 4xy dy = 0, a) as linear equation, b) as homogeneous…

A:

Q: If_tan(72) = (√p - √¶)(√r - √s), where p, q, r & s are positive - 24 Integers then find the value of…

A:

Q: 8. Evaluate the line integral [x²dx + xe¯dy where C is the closed path along the triangle in the…

A:

Q: Let Ai = [i − 1, i] for all integers i = 1,2,3,4. Find the following. a. A1_________________…

A: Given  Ai = [i-1 , i] ,  We need to find the values A1 , A2 , A3 and A4 , then the union and…

Q: The Intrepid is a World War II U.S. aircraft carrier that has been preserved and is docked at the…

A:

Q: 1. I. TAYLOR SERIES - Find the approximate value of sin (0.1) using Taylor Series of 0(h³).

A: To find : approximate value of sin0.1 using the Taylor series.

Q: 9. Find the flux of F =(x, -y, z²) across the solid that is enclosed by the hemisphere z=√√4x² - y²…

A:

Q: Let f : A →B be a function. Prove that f has a right inverse if and only if f is surjective.

A: We have to prove two sides.

Q: Find a particular solution to y" + 6y + 8y = -13te³t.

A:

Q: Starting with a = -1, b = 1, do 4 iterations of golden section search to estimate where f(x) = (x² -…

A:

Q: Also, it is in the first octant, isn't it the bounds of theta should be 0 and π/2

A:

Q: Consider the field F = (x+y)i - (x² + y²), and the counterclockwise curve C whose boundary is…

A: We will use green theorem for circulation and also for flux    For any vector field F=P i + Qj…

Q: How to turn 25.16 into a fraction

A: Given a decimal 25.16 , we need to convert it to a fraction

Q: Hi this is only the circulation. Can you also provide the flux for the problem? Please also keep the…

A:

Q: b) For the table with exponential growth, what is the growth factor?

A:

Q: Let R = ({0, 1, ..., 8}, , 0, 0) Ⓒ) be a ring where a a and are defined as follows: b = (a + b) mod…

A: a) zero element is 0 b) unit element is 1 c) a non zero element is said to be zero divisor , if…

Q: Define a function G: RR by the rule G(x) = 2 - 3x for all real numbers x. Is the following a proof…

A:

Q: The Audubon Society at Enormous State University (ESU) is planning its annual fund-raising…

A: (a) They charge 58 cents which is $0.58 and let us take the number of pasta servings as x.   So the…

Q: 10. planes z = 0 and 2 = 2. Find the surface area of the portion S of the cone z² = x² + y² between…

A:

Q: C. Set up the iterated double integral equivalent to ſſ ƒ(x,y) dA over the given region R: ii)…

A: Given, The region R is enclosed by y=x ,2x+y=10 and 7x+y=0.

Q: Use an Euler diagram to determine validity: All spiders build webs. No caterpillers are spiders.…

A:

Q: Let S be the triangular surface in R³ with vertices at (4, 0, 0), (0, 2, 0) and (0, 0, 8), that is…

A:

Q: PEAK TRAM The Peak Tram in Hong Kong connects two terminals, one at the base of a mountain, and the…

A:

Q: Jo z(2x + 2y)¹/2² ln(2x + 2y)ds C

A:

Q: 2 W S F2 Determine whether the system is consistent. 5x1 + 2x2 + x3 = -11 2x13x2x3 = 17 7x1 + x2 +…

A:

Q: What is the projection of v = e₁ +2e2 − 3e3 on H : x₁ + 2x2 + 4x4 = 0? et V be a subspace of R".…

A: There are 3 questions and student didn't mention any particular question to solve so i am solving…