The first payment of a perpetuity- immediate is 62. Subsequent payments decrease by 1 per year until they reach a level of k. Payments remain constant at k thereafter. The present value of the perpetuity is equal to the present value of a perpetuity-immediate paying 52.69 each year. The annual effective interest rate is 10%. Calculate k. [4.h-i #21] O 31 34

Q: Insert five arithmetic means between 5 and 15. ( write your answer from smallest to largest).

A:

Q: Find a basis for the nullspace of the matrix. (If there is no basis, enter NONE in any single cell.)…

A:

Q: Find all values of k for which the given augmented matrix corresponds to a consistent linear system.…

A: Given:      a)  4-2k-843    Adding 2 times the first row of the matrix above to the second row we…

Q: The cost C(x), where x is the number of miles driven, of renting a car for a day is $21 plus $1.05…

A:

Q: Which of the following is the correct representation of A = (2,4,8,16,32,. } in set builder…

A: A detailed solution is given below

Q: 9. Plot 1 and 25 on the number line below. 10

A:

Q: 9 Find a, b and c, given that the following pairs of polynomials are identically equal. а ax? + bx +…

A:

Q: ORE. Name the congruent parts so that each pair of triangle is congruent by SAA Congruence…

A:

Q: TOPIC: APPLICATION OF LINEAR EQUATIONS A man left his home at past 3:00 PM as indicated in his wall…

A: This is a problem of linear equations. Based on the given constraints we will generate the linear…

Q: let A = [1 5 -4 -3 0] and w = [1]            [0 1 -2  1  0]              [2]            [0 0  0   0…

A: Answer is in below steps.

Q: Deandre has 120 meters of fencing. He will use it to form three sides of a rectangular garden. The…

A: Here, the perimeter without one side is 120m. Suppose, x is the length and y is the width of the…

Q: Explain why S is not a basis for M2,2- 1 1 0 0 O sis linearly dependent. O s does not span M2,2. O…

A:

Q: b) Skyline Inc. is a risk-neutral profit maximizing enterprise. For each sold apartment, they…

A: answer is in next step

Q: a. Complete the table: Multiples Width of largest shape Width of smallest Width of medium shape…

A: answer is in next step

Q: (1) Show that planes perpendicular to the x-axis have equations of the form r = a sec 0 in…

A:

Q: Match the function from Z to Z on the left with the description on the right. O Instructions S(x) =…

A: see below the match answer

Q: Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the…

A: We will solve the given logarithmic equation and find the value of x.

Q: 19. Determine the x-intercept(s) of the polynomial function y = -3(x+8)° – 24. Justify your answer…

A:

Q: congruence. a. b. с. d. PY PA YM AM MI LE IL EM SM EL MI LI FE AM FM AE & ΔΥΜ ΔΑΜP . AMIL ALEM Α…

A: S-S-S Congruence: If all the three sides of a triangle is congruent to all the three sides of…

Q: Determine whether S is a basis for P3. S = {-3 + t³, 2t2, 2 + t, 1 + 2t + 2t2 + t3} O is a basis of…

A: A set S is a basis of a vector space V iff dimension of V= number of linearly independent vectors of…

Q: Solve the system of equations 5x – 5y = 130 8x – 2y = 406 by converting to a matrix equation and…

A:

Q: TOPIC: APPLICATION OF LINEAR EQUATIONS John, Paul, and George can finish a job in 12, 16, and 19…

A:

Q: Determine whether the set of vectors in P2 is linearly independent or linearly dependent. S = {x?, 2…

A: To find whether the given set of vectors are linearly dependent or notS = {x2, 2+x2}

Q: O Sign CAA - 2) Which graph represents a bigger standard deviation value? A) B)

A:

Q: (b) A company that sells universal remotes has derived the profit function: P(x)=-x²+240x– 9500…

A: profit

Q: Find 2B and simplify. -2 0 5 В 3 5 4 4 2B = [00]

A: Solve the following

Q: Vrite the matrix of the system, find it's inverse, and use it to solve the system. If the system has…

A:

Q: Interest is compounded annually. Find the amount in the account after the given time.​ (Hint:…

A:

Q: solve the exponential equation by using the property that b^x= b^y implies x=y, for b>0 and b≠1.…

A: Given problem:- solve the exponential equation by using the property that b^x= b^y implies x=y, for…

Q: The mass of a radioactive substance follows a continuous exponential decay model. A sample of this…

A:

Q: d row echelon form of the aug: 5, then the linear system must h

A: answer is in next step

Q: 1. Which of the following is an exponential function? Give a reason for your answer. i. y= 5x 3 ii.…

A:

Q: 1. Verify the set of conditions that guarantee triangle congruence by SSS postulate. Supply the…

A: SSS POSTULATE If three sides of one triangle are congruent to three sides of another triangle then…

Q: 1(a) Let f(x) = x – 5 cos(x). By calculating f(1) and f(2), show that there is an a e [1, 2] such…

A:

Q: 4) Find the sum of first 20 terms of the following series. 2+4 +6 + . a) 380 b) 400 c) 420 d) 440

A:

Q: You spin the spinner twice. 2 3 What is the probability of landing on a 4 and then landing on a 3?

A: Consider the figure below :

Q: Solve quadratic equations using the quadratic formula.  -2y2+8y+1=0

A:

Q: O mult. 2, -2i

A:

Q: Evaluate the following limits by constructing the table of values. 1-cos(3t) 1. lim- t-0 3t f(t)…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Rocco loves going for a walk. In the past 20, days, he has walked 310, miles. If he walked the same…

A:

Q: 2 10 0 2 A = 5 11 3 7 2 2 -2 16 37 11 3 4 1 0 3 0 -4 0 1 -1 0 0 1 -2 B = 0 0 0 0 (a) Find the rank…

A:

Q: IN grams is present now, how much will be 508 years? (Round the value for k and your answer to four…

A: 2)

Q: 2. For a certain type of tree the diameter D in feet depends on the tree's age t in 5.4 years. This…

A: Find the diameter of a 20 year tree

Q: Determine the values of a for which the system has no solutions, exactly one solution, or infinitely…

A: Let's find.

Q: Determine if the subset of C(- , 0) is a subspace of C(- ∞, 0). The set of all negative functions:…

A: C(-∞,∞) function f(x)<0 so it means f(x) value is negative f(x) (-∞,0) so C(-∞,∞) = (-∞,0) U…

Q: The given amount of annual interest is earned from a total of $11,000 invested in two funds paying…

A:

Q: Find the number of subsets for the following set. {4,5,6,7}

A: Solved below

Q: Simplify the following under Zs and Z7. (-4) + a. 3 -2 b. 3-1 -5+(-11) C.

A:

Q: Determine whether b is in the column space of A. If it is, then write b as a linear combination of…

A: The column space of an m×n matrix A is the span of the columns of A.

Q: Solve the following polynomial equation by grouping and factoring.   4y^3−9y=0   Enter the exact…

A: