Bill Casler bought a $8000, 9-month certificate of deposit (CD) that would earn 8.4% annual simple interest. (a) What is the value of the CD when it matures? (b) Three months before the CD was due to mature, Bill needed his CD money, so a friend agreed to lend him money and receive the value of the CD when it matured. If their agreement allowed the friend to earn a 10 % annual simple interest return on his loan to Bill, how much did Bill receive from his friend? (Round your answer to the nearest cent.) $ (c) What annual simple interest rate did Bill Casler end up making on his investment? Round your answer to two decimal places.

Q: Q5/ Maximize f(x₁, x₂) = x₁ + x2 by use of simplex method and it subject to: X₁ + 2x₂ ≤ 10 2x₁ + x₂…

A: The given problem is to solve the linear programming problem of maximum with given constraints by…

Q: f(x) = f(x) +² dt where g(x) = [cosx[1 + sin t²]dt, find f'(-)

A: It is known that: ∫g(t)h(t)f(x)dx=h'(t)f(h(t))-g'(t)f(g(t)). We need to calculate f'π2 using the…

Q: Explain the Initial Value Problems in homogeneous linear system?

A: To Explain: The Initial Value Problems in the homogeneous linear system.

Q: Provide Solution of the Equation by appliying Wronskians of Solutions theorem?

A: Given vectors are x1t=2et2etetx2t=2e3t0-e3tx3t=2e5t-2e5te5t Now, we find the wronskian.

Q: Find the differential equations for each familyof curves under the following conditions: a)Straight…

A: We will find equations of line / curve as described and then use derivative to eliminate unknown…

Q: = Let a, b, and d be positive integers. Prove that if (a, b) : divides a, then (d, b) = 1.

A: Definition of gcd (a, b) =1 is a and b does not have common prime divisor. Using this we can easily…

Q: 7Q2/ Cheese the correct answer. @If the bisection method is used to solve the equestion 3x²= = * in…

A:

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: E Valuate by Beat function: 1 = 5 +²²1 dx 1+x4

A: Given : I=∫0∞xa-11+x4dx Evaluate the given integral by beta function .

Q: Express each of the following numbers in polar form (reje, with in radians) without using a…

A:

Q: A 12.5-inch candle is lit and burns at a constant rate of 1.2 inches per hour. Let t represent the…

A: Given:  Candle length = 12.5 inch Candle burn rate=1.2 inches/hr To find: (a) Expression in terms of…

Q: Exercise 5. 1) Show that the metrics dp, p ≥ 1 and dmax on Rª are all Lipschitz equivalent. 2) If X…

A:

Q: 3- Complet X f(x) the following table: 0.0.5. - J 2.71828 1.75 5.75460

A:

Q: Given temperature function: T(Robs)[°C] = 40Rx e-R-R3-R2 +100.0 Plot the function on desmos.com…

A: Given That : Temperature Function : TR→obs°C=40Rxe-Rx2-Ry2-Rz2+100 To Plot the graph of the function…

Q: Forces acting on moving objects (cars, airplanes, ships, etc.) require the engineer to know…

A: Given the position vector is rt=t,t2,0 So, r't=1,2t,0r''t=0,2,0 and, r't=12+2t2+02=1+4t2 So, the…

Q: Consider the function & : [0, π] → [−1, 1] given by o(t) = cos t. Let w be a one-form on R. TRUE or…

A: Given: The given function is ϕ : [0,π]→[-1,1] given by ϕ(t)=cost. Let ω is a one-form on ℝ.…

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A:

Q: Can Taylor's theorem with Landau symbol (Corollary 4.19) be applied to the function f: R → R, f(x) =…

A: To find- Can Taylor's Theorem with landau symbol (Corollary 4.19) be applied to the function f : ℝ →…

Q: Let V₁ = ? V₂ == 3 6 -11 and V4= -3 1. Determine whether or not the four vectors listed above are…

A: Introduction: Let A = v 1, v 2,..., v r represent a group of vectors from Rn. A is said to be…

Q: A. Let f(x, y, z) = z²-x² - y² .The set of all values of c such that the level surface f(x, y, z) =…

A:

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) (a) lim f(x) = x→ct…

A:

Q: (4) The temperature distribution T(z) at a distance z, measured from one end, along a bar of length…

A: Since there many parts, hence find the solutions of (a) and (b).

Q: =y-z=9 #y-72=10 lect the correct choice below and, if necessary, fill in the answer boxes to…

A:

Q: 5 (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5 an…

A: Using square root method we will solve this problem

Q: Consider the following autonomous first-order differential equation. =yIn(y + 2) Find the critical…

A: For an autonomous system of the form: dydx=f(y), it can be written that: The region above or below…

Q: f $9,000 had been invested in a certain investment fund on September 30, 2008, it would have been…

A:

Q: 6. Show that x (t) = -20₁²-₂³ and y(t) = c₂e² the following system of differential equations. Cze…

A:

Q: Salmonella bacteria, found on almost all chicken and eggs, grow rapidly in a nice warm place. If…

A:

Q: ydz + [y+tan (x+y)]dy: 0,

A:

Q: If you want to earn 2% annual simple interest on an investment, how much should you pay for a note…

A:

Q: For the following examples, state the domain and range of each as well as whether the relation is a…

A: To find domain and range of given relations.

Q: Find the DE of an ellipse with the equation: +2²=1

A:

Q: I have some US coins in a jar, specifically pennies (1 cent pieces), dimes (10 cent pieces) and…

A: It is known that 1 dollar=100 cents. We need to use this relation to calculate the total number of…

Q: pol DA 4. x dy + y dx = 0 (3x²y² + 2y³ - 4y) dx + (2x³y + 6xy² - 4x) dy = 0

A:

Q: if f(x) = x²√√In x² x . find the derivative of this function f'(x) A. f'(x) = B. f'(x) = c. f'(x) =…

A:

Q: following forms: one point. a given value of x in the function to represented in the 1. A function.…

A:

Q: If lim f(x) = 7 and lim g(x) = -4, find the following. X-6 x →6 (a) (b) lim_ [f(x) + g(x)] X.6.....…

A:

Q: Consider the data x=(1,2,3) and y=(3,2,1). Use the scheme of divided differences to determine the…

A:

Q: answer ixed point method, which of the the correct alas. Стоого -Хи 3 cau use toget the equuntion…

A:

Q: Write a flowchart for multiplication of 100 even numbers.

A: Flow chart of 100 even number mutiplications Note that Here first number 2 and last 100 numbr is 200

Q: Create a radical equation with variables on both sides. Then solve the equation.  Write some…

A: Solving Radical Equations A radical equation is an equation in which a variable is under a…

Q: *3. Suppose x is a real number and > 0. Prove that (x - e, x + e) is a neighborhood of each of its…

A: Given that 'x' is a real number and ε>0. To prove that x-ε, x+ε is a neighborhood of each of its…

Q: The identity formula we have been using is 1/n= 1/(n+1) + 1/n(n+1).  Here is the problem at hand:…

A: We need to use given identity twice to represent the unit fraction  in three term

Q: QUESTION 4 You are computing a root of f(x) = cos(x) -x in the interval [0,2] using the bisection…

A: Given information Function :-  fx = cosx -x Interval :- x∈0, 2 The result is accurate to within 5…

Q: Part One: An output signal of a pressure sensor was measured in a mechanical structure as follows:…

A: Here we use the standard sinusoidal sine  function and the definition of period of that function as…

Q: Q2) Solve the BVP utt = Uxx ux(0,t) = 0 u(x,0) = 0,_ u₂(x,0) = f(x) = {100 0 0 01

A: We have to solve the given boundary value problem using the given boundary condition.

Q: (2) Solve for t20 the differential equation *+7+12x=2+ 6(t-2) subject to the initial conditions z =…

A:

Q: Define the variable x_as y = g) x = 1 - 2sin²y then evaluate:

A:

Q: f sec (5x)tan (5x) dx 3 tan 5x + C A. B. C. 13 cos 5x + C 플 sec 5x + C D. csc 5x + C 5

A:

Q: [-1 Q3/Using Doolittles method for the following matrix A = 0 -2 L matrix and U - matrix. 1 Add File…

A: