What lump sum should be deposited in an account that will earn at an annual rate of 8%, compounded quarterly, to grow to $160,000 for retirement in 30 years?     $15,094.34     $15,900.37     $14,862.76     $47,058.82     $14,630.94

Q: Obtain the inverse Laplace transform: s-4s +12s+24 (s-2) (s²+16) O t'e + cos 4t e 2 (cos 2t – 2t) O ...

A:

Q: SOLVE THE FOLLOWING COMPLETELY. 1. Given the vector field G = 2x²y ax-2(z-x) a, + 3xyz az, find: a. ...

A: As per our company guidelines, we can solve first three multi-parts. If you want other parts to be s...

Q: If the power series an" converges only in the interval (-4, 4), then the series n=0 nan " converges ...

A: Introduction: Like an infinite series, a power series can also be convergent or divergent. Power ser...

Q: a1/ Find c; and ey so that ytx) = c; sin x +cz cos x will satisfy the given conditions. Determine wh...

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want ...

Q: What is the simple interest to the nearest cent on a credit card balance of P1,150.00 at 11% interes...

A:

Q: Solve the following  complex numbers in their rectangular form. Use the given formula and use 4 deci...

A: Given csc-1(-2.0807+4.5465i)               (1) We have given formula is Csch-zz=ln1+z2+1z           ...

Q: QUESTION 6 Given the predicate form below, find the enumerated form. S= {x€Z[(2x- 4)(x +3)(x² - 1) =...

A: Solution:-   The given set is  S = { x belong to Z ; (2x - 4)(x + 3)(x2-1)=0} then , we have to find...

Q: Let A = {1, 2, 3, 4} Let R be defined on A x A where a Ry if æ > y . a) Draw a mapping diagram of R ...

A: A mapping diagram consists of two parallel columns. The first column represents the domain of a func...

Q: 1. A primitive Pythagorean triple is an ordered tripe of integers (x, y, z) such that x² + y? = z?, ...

A: Since you have posted a multiple question according to guildlines I will solve first question for yo...

Q: Solve the inverse Laplace transform: 3s s2+4s+13

A: We need to find L-1{3ss2+4s+13}

Q: 2) Show that the interval (2, 4) is open in the upper limit topology on R. [Hint: Express (2, 4) as ...

A: We have to show that the intervel (a,b) is open in upper limit topology in R.To show (a,b) is open w...

Q: || xe ' dydx is хе

A:

Q: 5. Let G be a graph with degree sequence (5, 5, 5, 4, 4, 3, 3, 3, 1, 1, 1, 1). Does there exist a bi...

A:

Q: f(x)

A: In this question, the concept of the graph is applied. Graph The graph of a function is the collecti...

Q: In a community in which R elderly people and people with comorbidities are susceptible to a particul...

A: To determine the percent of susceptible infected after 6 weeks.

Q: 12. From the data below, compute for the standard time if the allowance factor = 15% (added to its n...

A:

Q: Each of the following linear transformations T is diagonalizable. For each transformation, determine...

A:

Q: QUESTION 17 What set does the below Venn diagram picture reprresent? Oa. A Ob. B Oc. AUB

A: Solution :-

Q: Six equal rods AB, BC, CD, DE, FE and FA are each of weight W 6. and are freely jointed at there ext...

A:

Q: 2. Solve the following: Note : m=0 , n=0 What is the result of the expression which is equivalent to...

A: Solution :-

Q: tion formula 2"e" da = a"e" - %3D e integral

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want...

Q: 2. Show that the AR(3) process Y, = Bo + B,Y,-1 + B,Y,-2 + B3Y,-3 + &, %3D can be written as AY, = B...

A:

Q: debit card, and 6 customers used a credit card. Based on these results, express the prob

A: In this question, the concept of Probability is applied. Probability The ratio of the number of favo...

Q: 1. Determine the incidence matrices of the graphs below. a) b) a (b of

A:

Q: Suppose f is a function that satisfies f(2) = 20 and f(2n) +nf(2) = f(2n + 2) for all positive integ...

A: It is given that, f(2)=20      ...(1) and  f(2n)+nf(2)=f(2n+2)     ...(2)   Here 'n' must be a posit...

Q: 2. /1+ cos² x dx dy = ? Isin¬' y -2/2 1 (a) 3 3 2/2 (b) 3 3 -2/2 (c) 1 3 3 2/2 (d) 1 3 3 V2 1 (e) + ...

A: Given is multiple definite integral.

Q: Determine the finance charge for a credit card that has the given average daily balance and interest...

A:

Q: Evaluate the given function ſ cos²xsin³dx cos$x а. cos³x + C 5 cos³x cos"x cos3 + C 3 b.- cosx с. co...

A: Solution

Q: e**Ydx – e2ydy = 0; y = 0 when x = 0

A: ex+ydx=e-2ydydydx=exeye-2ydydx=exe3y∫e-3ydy=∫exdxe-3y-3=ex+cPut x=0,y=0, we get c=-43So, e-3y=-3ex+4

Q: FIND X on A ai a5. Y 529 +. В Simse i 4 A oloum boura y s W

A:

Q: Assume the interest rate is compounded annually. a. Assume the interest rate is compounded continuou...

A: Solution :-

Q: Find the area in the first quadrant bounded by the curve y = 3x – x, the lines x = y = 2. 0 and

A: To find the area of the region bounded by the curve we use the formula Area=∫abf(x)-g(x) dx.f(x)=y=2...

Q: 7 Express in partial fraction form, hence find the summation of the series, r(r+ 1)(r + 2) 7 Σ r(r+ ...

A:

Q: The Hudson Plains ecozone contains most of Canada's 1 of the area of 26 wetlands. This ecozone cover...

A:

Q: Note: m=2 Weight: 1.15 kg Give the weight of your laptop in gram. What is its weight in ton? Give yo...

A:

Q: ral | sin 0

A:

Q: Find the truth table of the following logical expression: (Note: Type T for true or F for false) ov ...

A:

Q: 2 3] 5. Let A = 1 2 3 1 3 (а) corresponding eigenspace. For each eigenvalue of A (which you found in...

A:

Q: A beam whose centre of gravity divides it into two portions, a and b, is placed insıde a smooth sphe...

A:

Q: Problem 4: Define f: [0, 1] R by f(x) = 2x if x is irrational and f(x) =-1 if x is rational. Careful...

A: Given function f: [0, 1]→ℝ f(x) = 2x , when x is irrational-1 , when x is rational

Q: is 28 and the 7th term is 448, then find the 9th term of this GP. Show all steps.

A: Introduction: A geometric progression is a sort of progression in which each term has a fixed ratio ...

Q: Normalize the vector j = (1, -2, 5, 0, -1)

A:

Q: 19. The Dulac Box plant works two eight hour shifts each day. In the past, 500 cypress packing boxes...

A: Solution :-

Q: Activity: It's Your Turn! Direction: Find the measure of each angle indicated using the exterior ang...

A: 1)  by exterior angle theorem  ∠U+∠T=∠V                  ∵sum of opposite interior angle= exterior ...

Q: Find dX/dt of Matrix:

A:

Q: 1 Y(s) = s²(s²+1) ; Y(t) = ?

A:

Q: b, c e R such that abc

A:

Q: 1) Find the derivative of f(x)= 2x³+ 2x +12. Then evaluate the

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: prove that S" erf (x) dx =0

A: To prove the below equation. ∫−aaerfxdx=0

Q: 1. Determine the next number in the sequence: 9, 4, 3, 121, 37, 84, ___ . 2. A Fibonacci prime is a ...

A: 1. The next number in the sequence is 9,4,3,121,37,84, 2339 The difference dose not converge.