evin deposits $1220.33 each quarter into an annuity account for his child's college fund in order to accumulate a future value of $95,000 in 15 years. How much of th 95,000 will Kevin ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent, if necessary. nswer ow to enter your answer (opens in new window) Amount Kevin will deposit: $ Interest earned: $ Formul Keypac Keyboard Shortcu

Q: Let y(t) be the solution of the initial value problem y' = sin(t) — 3 sin(10y), y(0) = 0 Compute y…

A:

Q: a. Find the most general real-valued solution to the linear system of differential equations a' =…

A:

Q: Problem #8: Use Divergence theorem to find the outward flux of = (8x², e¹², cos³(√² + x)) of the…

A:

Q: Note: for each question below, enter a numerical value only. Let's find the following determinant by…

A: Given: We have to find the value of  and also find the value of determinant of the given matrix.

Q: 4. Solve the following initial value problems using the Laplace transform: a) y + 3y = 0, y(0) =…

A:

Q: Find a basis for the null space of the matrix given below. 11 -4 1 5 01 0-2-2 00-9 0 9 A basis for…

A:

Q: 1 +32 4 2 1 -1 -2 -3- 1 2 3 4 5 ( The graph above shows the base of an object. Compute the exact…

A: Here the graph above shows the base of an object.

Q: A square matrix A is invertible if and only if det A + 0. Use the theorem above to find all values…

A:

Q: Use Stokes' Theorem (in reverse) to evaluate (curl F) · nds where F = 8yzi + 7xj +4yzek, S is the…

A:

Q: subject : math, differential equations solve the general solution of the inexact differential…

A:

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

A: Given  a, b and m are positive integers.  (a, m) = (b, m) = 1.We have to prove that (ab, m) = 1.

Q: A 10 kg object is attached to a spring and will stretch the spring 49 cm by itself. A forcing…

A: We have to model the differential equation and then find its general solution

Q: We assume that an economy has only three sectors: Goods, Services and Consumption. The Goods sector…

A: Given Information:Economy has three sectors: Good, Services, Consumption.Few information regarding…

Q: x² For the given cost function C(x) = 250√x + 8000 a) The cost at the production level 1800…

A: In this question, we will find the average cost and marginal cost.

Q: 7. Prove that p(m) = 4(2m) if and only if m is odd.

A:

Q: If y, and y2 are linearly independent solutions of t2y" + 3y +(4+t)y = 0 and if W(y₁, y2)(1) = 3,…

A: Given y1 and y2 are linearly independent solutions oft2y" + 3y' + (4+t)y = 0 Also, , where  is…

Q: A parallelogram has sides of lengths 9 and 6, and one angle is 43°. What is the length of the…

A:

Q: Find the general solution of the given differential equation using variation of parameters. I y" +9y…

A:

Q: NO Date la) USING THE PRINCIPLE OF MATHEMATICAL INDUCTION PROVE THAT 5+¹ +2 (3") + 1 15 DIVISIBLE BY…

A: We shall prove the following result by principle of mathematical induction.

Q: For the first few problems in this set, let (3) 1 F₁ = 0 F₂: = 1. Let S denote the unit sphere cos u…

A: Given a parametrization of the unit sphere, ST→(u,v)=(cos⁡usin⁡vsin⁡usin⁡vcos⁡v)Partial…

Q: The bar graph below shows the scores that Gabrielle earned on her recent midterm grade report. 100…

A: Given bar graph isThis bar graph shows the scores that Gabrielle earned on her recent midterm grade…

Q: Find the Laplace transform of the function {²: √2, 0≤t<T 0, π≤t<∞ f(t) NOTE: Express the answer in…

A:

Q: ) Compute the smallest prime factor of 2197.

A: We have to Compute the smallest prime factor of 2197.

Q: Let A = [-40 36] -48 44 Find two different diagonal matrices D and the corresponding matrix S such…

A:

Q: Use the divergence theorem to find the total flux of flow field F out of the 6 sides of a…

A:

Q: 3. Suppose that one billion yeast cells metabolize sugar at a rate of 1 gram per hour. Based on the…

A:

Q: 3, A set of data items is normally distributed with a mean of 500. Find the data item in thi…

A: To find the data item that corresponds to a given z-score in a normally distributed dataset, you can…

Q: Build the graph of f(x)=-(x^2 ) +4 and write down domains and ranges, do it step by step explaining…

A:

Q: Find y'(0) and y"(0) from the following table ofvalues: X 0 1 2 y 4 8 15 3 4 7 6 5 2

A: From the given table upper digits are values of X and lower digits are values of Y(X).

Q: 1 0.8 0.6 0.4 0.2 0 A two-dimensional flow field is given by velocity components: u = 4x³ + 2axy²…

A:

Q: Compute the determinant by cofactor expansion. At each step, choose a row or column that involves…

A:

Q: Consider the series below. Σ (-1) +1 n=1 Use the Alternating Series Estimation Theorem to estimate…

A:

Q: d) f(t) = t, 1/t 1/12, 0 ≤t≤1 t> 1

A:

Q: 11. Let E be the region between the ellipses 9x² +4y² = 1 and 9r² +4y² = 16 and to the right of the…

A: 11. Given that E be the region between the ellipses…

Q: Let A = 2 B = -4] -4 8 Construct a 2 by 2 matrix B with all non-zero integer entries such that AB =…

A:

Q: Consider the image below, where the solid E is bounded by x^2 + y^2 + z^2 = 4 and bounded below by…

A: Given integral  where solid D is bounded above by  and bounded below by (a) Set up the integral…

Q: Prove or disprove: There exists an integer a such that 14 | (3a – 5) and 21 | (2a +3).

A:

Q: Check that the point (1,-1,2) lies on the given surface. Then, viewing the surface as a level…

A:

Q: Evaluate the Improper Integral using LIMITS. If convergent find the exact value. I fx² Inx dx 0

A:

Q: 3- Using the following flow matrix of departments and space requirements, please develop a layout: -…

A: To develop a layout based on the given flow matrix and department space requirements, we can use a…

Q: Solve the initial value problem y' + te=e", y(0) = 0.

A:

Q: 1. Verify x₁ = t²x² = (' -3t 5 3t+²) and x2 = 5t 3t² -2t X. t -t-> - are solutions to

A:

Q: Represent the following system of differential equation as Block Diagram. Assume all initial…

A:

Q: 10. Consider the sequence: an = for n ≥ 1. (a) Suppose & > 0. Use the precise &-N limit definition…

A: Let {an } be a real sequence. A real number I is said to be a limit of the sequence { an } if…

Q: Compute the determinant using cofactor expansion along any row or column that seems convenient 000 a…

A: Given determinant is                 Since the first row contains 3 zeros so it is convenient…

Q: Use quadratic regression to find a model for this data. Round your coefficients to the nearest…

A: Using quadratic regression we have to model the given data

Q: Given each of the following: a) Identify the critical numbers of the function classify each as a…

A:

Q: 63-76. Concavity Determine the intervals on which the following functions are concave up or concave…

A: Note:As per our guidelines, we can solve first question. Please repost the remaining questions.

Q: Solve the linear programming problem by the simplex method. Minimize 5x + y subject to the…

A:

Q: Exercise 8.1.6 Suppose A is a 3 x 3-matrix with eigenvalues 21 = 1, 22=0, and 23=2 and corresponding…

A: