To pay for his debt at 10% compounded semi-annually, рay Marcus committed for 10 quarterly payments of P25,000.00 each. How much did he borrow?

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A: we have to find the signal y(t) using Laplace transformation and inverse Laplace transformation.

Q: 2.) Determine whether S = {(G).(10).(2,12,6)} is a basis for R. If it i write u = (6,3,6) as a linea...

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Q: 3. let A be a 3×3 matrix and Suppose that A, + 2a,- 30z=0 , uhere a,, a,and az are the colums of the...

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A: Introduction: Assume we have a function f(x, y) that is dependent on two variables x and y that are ...

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Q: ) Find the vector that connects Hthe two opposite corners of a cube whose volume is én 8a'. One corn...

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A: There is some standard notation for certain types of sets . Set of real numbers is denoted by R, rat...

Q: 2. (3i + 7)+(34 – 6i)

A: To simplify the given expression add the given complex numbers.

Q: Example 14. If f (x) = 0, for every x in the Cantor set P and f (x) = k for x in each of the interva...

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Q: Suppose that a, b, c € R are all nonzero. Find a QR-decomposition for Га 0 а] 0 c A = 0 b b а 0 0 if...

A: Consider the matrix A=a0a0cc0bba00, a,b,c∈ℝ and a,b,c≠0 with the vectors a1=a,0,0,aT,a2=0,c,b,0T, a3...

Q: prove this statement: If the graph is discontinuous, then the complementary graph is continuous.

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Q: 3. Let C= {1,2,3} Define relation O from C to C as follows For all (x.y) € Cx C, (x.y) E O means tha...

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Q: Using Quadratic Formula a. 6x2 - 2x + 5 0

A: The roots of the quadratic equation: ax2+bx+c=0 are calculated using the quadratic formula: x1, 2=-b...

Q: Q 2 Solve x2-11x + 28 0, by using the quadratic formula

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A: Given that: Time requires to fill the tank if the tank does not leak = 3 hours Time requires to dra...

Q: 2a, b

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Q: Determine the set of values of the continuous function defined by the formula: T COSX b) g(x)= sin 6

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Q: -1 1) Let A = Can A be expressed as a sum , B + C, where B is symmetric and 2 5 C is skew-symmetric?...

A: Given- Let A = 1-1002542-1 To Find- Can A be expressed as a sum, B + C, where B is symmetric and C i...

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Q: Consider sequences (– 1)"n (i) Зп — 1 (1) cos T- (ii) n2+ 3n (iii) Зп2+ 5 n Which of the following s...

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Q: Find the solution of the equation cos y which tends to zero as x → 0o and has the value cos y whenx=...

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Q: or estimate th ify if the square root is ra Given Square Roots 11. V121 You 21 37 20 82 S V144

A: 121 = 11 is   Rational21  = 4.58257569496  which is non terminating, on repeating hence Irrational37...

Q: Exercise 4. Is it possible to have nonzero vectors u, v in V with uv = 0? Why or why not? (Here the ...

A: Given: 4) V is a subset of vectors in Hamilton's quaternions. To explain: Why or why not there are v...

Q: Dhet (@s+ is aring of complex numbers ant M be aring of2 matrices aud g e-DM, défined as follows:. s...

A: Its not a ring isomorphism because it is not closed under the  operation of multiplication   Here g ...

Q: b. It is known that on the integration interval -1 sxS 3, for the integrand function f(x): 2.2 < If"...

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Q: Consider the sequences 3 7 Which 13; 5 8 of these statements is correct? A. The sequence converges t...

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Q: Show, by the use of the truth table (truth matrix) that the (pvq)v [[(¬p)^ (¬q)] is a contradiction....

A: The logical symbol "∨" is used to denote "OR". The logical symbol "∧" is used to denote "AND". The l...

Q: Jimpli Fy 2.

A: Simplify x612

Q: odel for the following situations: 1. At time , 500 bacteria are in a petri dish, and this amount tr...

A: Introduction: Exponents are used in the exponential function, as the name implies. However, keep in ...

Q: 4tan-(x) dr 1+x2 The integral is equal to O A 472. O B. 272. OC?. O D. 00. O E. None of the given op...

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Q: ne series for an ev

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Q: Use Euler's method with the given step size to estimate y(1.4) where y(a) is the solution of the ini...

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Q: Q4) By using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z. Ma...

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Q: A nutritionist has one recipe that is 50% avocado and another 20% salad. How much of each should he ...

A: The total amount of recipe is 12 grams.

Q: A pair of congruent triangles are shown at the right, as marked. Which statement must be TRUE? ZDAB ...

A: We can solve this using congruency

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A: Both circle and square are plane figures. Area is the measure of the amount of space occupied by a p...

Q: a. Given the systems of linear equations 4x+5y+z = 2 x-2y-3z = 7 Зх — у - 2z %3D1 Solve the system u...

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: C Povide the negation of each of the following propositions? 1. Today is Tuesday. 2. There is no pol...

A: Since there are  multiple question, we solve the first one. Post the question again and mention the ...

Q: r-1 Solve + r

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an algebra...

Q: MIKE DEPOSITED ON MARCH 12, 2020 AT 10.5% SIMPLE INTEREST. ON SEPTEMBER 8, THE FUND ACCUMULATED TO 1...

A: Given- Mike deposited on March 12, 2020 at 10.5% simple interest. On September 8, the fund accumulat...

Q: 1. Sequence Consider the sequence {a,}nEN where an = 2" – 3". (a) Write the first five terms of the ...

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Q: scriminant of the quadratic equation x2+2x-7=0

A: Introduction: The discriminant of the quadratic equation ax2+bx+c=0 is given by, d=b2-4ac If discrim...

Q: Suppose that f is a function from A to B, where A and B are finite sets with |A| = |B|. Show that f ...

A: Given that f is a function from A to B, where A and B are finite sets with A=B. We have to show that...

Q: 2. Express sin40 and cos40 in terms of powers of sin 0 and cos e only, respectively.

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Q: Solve by use of an equation. There are 1200 freshmen enrolled in a big university. If there are 50 m...

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Q: Evaluate the integral: I = ∭s 2x dxdydz where the solid S is defined as: S =  { (x, y, z) ∈ R3  ...

A: The integral given is as follows: ∭S2xdxdydz The solid S is defined as S=x, y, z∈ℝ3: x≥0, 0≤y≤2z+1, ...

Q: Shown here is a table of the vapor pressure of Vapor Pressure (kPa) benzene and toluene. Temperature...

A: The complete solutions are given below  

Q: The exponential growth model A= 50e0.07t describes the population of a city in the Philippines in th...

A: Given exponential growth model is A=50e0.07t describe the population of a city in the Philippines in...

Q: Given the set The B= (– 4,7]N ( –1, 10) – {7}· supremum of B is

A: Introduction: In mathematical analysis, the infimum and supremum are concepts that generalize the no...