A leprechaun places a magic penny under a​ girl's pillow. The next night there are 2 magic pennies under her pillow. The following morning she finds four pennies.​ Apparently, while she sleeps each penny turns into two magic pennies. The total number of pennies seen under the pillow each day is the grand​ total; that​ is, the pennies from each of the previous days are not being stored away until more pennies magically appear. How many days would elapse before she has a total of more than $22 trillion ​? ​(Proceed by trial and​ error.)

Q: Use a matrix to solve -4x - 4y + 3z = -21-16x - 15y + 13z = 0-8x - 7y + 7z = -12A) 74z, -z, z B) -74...

A:

Q: a die rolled, and a coin is tosed.  a. Use the Fundamental principle of Counting to determine how ma...

A:

Q: David earns R4000 per week and saves R300 towards the cost of a new ca. What percentage of his earni...

A:

Q: 3. Are the following logically equivalent? Explain why or why not. P - (Q v R) and (P→ Q) v (P→ R) म...

A:

Q: It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake. A cupcake is sold for ...

A:

Q: Use a matrix method to find the equilibrium prices and quantities where the supply and demand functi...

A:

Q: Find the sum in the same base as the addends. 110011two + 1111two

A: two numbers in binary form are: 1100112 and 11112

Q: (ii) An efficiency study of the morning shift at a certain factory indicates that an averageworker a...

A:

Q: It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake. A cupcake is sold for ...

A:

Q: Number theory.

A:

Q: The number of units Q of a particular commodity that will be produced with Kthousand dollars of capi...

A: According to the given information, The number of units Q of a particular commodity that will be pro...

Q: solve using ratio test

A:

Q: 18. A course of 100 students has taken two exams: one for mathematics and the other for Spanish. It ...

A:

Q: 13. A cylindrical tank has a height of 3 m and an outer diameter of 10 m. Its walls are 20 cm thick....

A:

Q: 11. A veterinarian prepares samples with 100 grams each of two types of food (A and B) for cats. The...

A:

Q: Find the solution of the given initial value problem.

A:

Q: ()- Write the given linear system without the use of matrices. Assume X = y 6 -9 -3t х+1 3 |е X' = 5...

A: Here,

Q: 45

A:

Q: Find a Taylor series to represent e-x-1/x then use it to approximate the integral from 0 to 0.5 e-x-...

A: Consider the provided question, The expansion of the ex according to Taylor series is given by,

Q: If x = a + 0 is a singular point of a second-order linear differential equation, then the substituti...

A:

Q: For which values of p does E n-1 (1+em) converge? (Give your answer as an interval in the form (*,*)...

A: We need to find the value of p such that the given series converges. The given series is            ...

Q: Given the point P =,(a,b) in the first quadrant, find the downward-opening parabola that passes thro...

A:

Q: #36

A:

Q: Solving a System of Linear

A:

Q: Find the equation of the line perpendicular to the line 3y = 2 – 4xand passing through the point (4,...

A:

Q: How do you solve this problem?

A: We are given the system of differential equation,                          . We are also given the c...

Q: The linear function of sales towards the component a,b,c, and d as below. Whiles, x1, x2,x3,x4, and ...

A:

Q: 5. Solve the initial value problem. 4 93 (x² D² + xD – 4I)y= x³, y(1) = y'(1) = 5'

A:

Q: #11. Given the symmetric matrix A a diagonal matrix D, also indicating the entries of D. find an ort...

A:

Q: 12. The 8th term of an arithmetic sequence is 16, and the 18th term is 56. Find the sum of the first...

A:

Q: Jeffery Wei received a 7-year non-subsidized student loan of $31,000 at an annual interest rate of 5...

A:

Q: Number theory

A: Consider the provided question,

Q: Part D

A:

Q: Solve the given initial-value problem. () 3 11 16 X' = 0 о х, X(0) 0 X, 4 1 3, X(t) =

A:

Q: In how many ways a team of 4 representatives can be chosen in a class of 12 students consisting of 5...

A:

Q: Identify the linear differential equations in the following. Justify and show your work. x2y'+xyy'=0...

A:

Q: what is the solution?

A: According to the given information, it is required to write the stochastic matrix corresponding to t...

Q: Find the general solution of the given system. -1 -1 9. 9. X' = 2 4 2 X(t)

A:

Q: Determine whether or not the set S={(1,1,1) , (1, 0,1) , (1,1, 3)} forms a basis for R3. If not, giv...

A:

Q: (i) A business manager determines that t months after production begins on a new product,the number ...

A: Here, production function, p(t) is given by,

Q: 30. A conical tank should be painted 10 meters in diameter and 12 meters high. An average consumptio...

A:

Q: Find 1112 mod 13.

A:

Q: Let S = {4, 9, 14, 19, 24, 29}, E = {9, 19, 29}, F = {4, 14, 24}, and G = {24, 29}. (Enter ∅ for the...

A:

Q: How do you solve this problem?

A: Consider the non homogeneous system of differential equation,

Q: Use the Chinese remainder theorem to show that an integer a, with 0 ≤ a < m = m1m2⋯mn, where the ...

A:

Q: Give an example of a non-zero 2 × 2 matrix R which satisfics R² = 0. Suppose that M is an n x n matr...

A:

Q: Each day, mice are put into a T maze. In this maze they have a choice of turning left (are rewarded ...

A: According to the given information, Maze have a choice of turning left or to the right. After the fi...

Q: Parts A-C

A:

Q: Let f : [0, ∞) → [0, ∞) be the function defined by f(x) = √x. Show that f is a bijection.

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.