Tom has taken out a loan for college. He started paying off the loan with a first payment of $200. Each month he pays, he wants to pay back 1.2 times as the amount he paid the month before. Explain to Tom how to represent his first 30 payments in sigma notation. Then explain how to find the sum of his first 30 payments, using complete sentences. Explain why this series is convergent or divergent.

Q: 2x-4-3y 5y-x=5

A:

Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 64° when the…

A: A ladder leans against the side of a house. The angle of elevation of the ladder is 64°. The bottom…

Q: In its first 10 years a mutual fund produced an average annual return of 20.88%. Assume that money…

A:

Q: Describe verbally the transformation(s) that can be used to obtain the graph of g from the graph of…

A: topic - transformations

Q: 463 0 -7 2 6 7 9 7 -3 4 1| 0 3 -1

A:

Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following is a relation on X? O [1, 2), (3, 4), (5, 6}} O…

A: Here we have X={1,2,3,4,5,6} We have to determine the relation on X.

Q: 1. Provided the following matrices, solve for the following: -2 2 -67 12 -7 7 9 A 1=[1²/77³1 B = -5…

A: Solution is given below:

Q: Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 10 [:] -6 1 188…

A:

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A: Hyperbola with centre at 0,0  and the transverse axis is the x-axis is given by  x2a2-y2b2=1  Then,…

Q: 4. 5. x²-3x-10 3x+6 ÷ 6x3 2x 5x-7 x+3 + x+13 x+3

A:

Q: 1+x² Find the area of the region bounded by the curve y=- and the lines y = 0, y = x,x=2. 2x2

A: Follow the procedure given below.

Q: 13. Use the idea of FLOF to rewrite 6,000+ 840 in at least 3 different ways that would produce the…

A:

Q: Evaluate the integral: Sen(+²+2x-7) ox dx A x² + 5x + In|3x-6|+C B +5x+31n|x-2|+C X + +In|3x-6|+C Ⓒ…

A:

Q: Investing. How many years will it take $10,000 to grow to $18,800 if it is invested at 9% (A)…

A: Both the answers are given below

Q: (a) Let V be R², and the set of all ordered pairs (x, y) of real numbers. Define an addition by (a,…

A:

Q: A right triangle has side lengths 5, 12, and 13 as shown below. Use these lengths to find sin A, tan…

A:

Q: amous amusement park. or an unlimited number of in the family. The Xx), as a function of the ow many…

A:

Q: Q4 let V=M₂x₂ of the form [a of with standard matrix addition and multiplication form -space-

A:

Q: Find sin 0, where 0 is the angle shown. Give an exact value, not a decimal approximation. 5 A 3 sine…

A: A detailed solution is given below.

Q: Suppose that the population of some state in 2010 was P = 36 million and its annual percentage rate…

A:

Q: Express the following expression as an equivalent expression that is a single logarithm. 2 logbx+7…

A:

Q: Question 3 Given that x and y vary inversely and that yis 24 when x is 8, sketch a graph of this…

A: Given that x and y vary inversely and y is 24 when x is 8, to sketch a graph of this inverse…

Q: Which of the following best describes the first step of solving 7 2x x = 4? Add x to both sides…

A: To find the first step of solving the given equation.

Q: Use substitution to show 9 + 6 (10 -7x ) is equivalent to 69 - 42 x

A: SOLUTION-

Q: Which expression has the greater value? Show all of your work. 1 A: log2 16+ log2 8 B: log() -log(1)…

A:

Q: Chose the slope-intercept form of the equation of the line through the point (-1,2) and…

A:

Q: Use the ALEKS calculator to evaluate each expression. Round your answers to the nearest hundredth. =…

A:

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A:

Q: (ii) Evaluate 22 II 2. k=11

A: topic- product of series

Q: For what values of a and ß will the vector (a, 1, B) be orthogonal to (2, 0, 7) and (-1, 1, 2)? α =…

A:

Q: Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 4 0 1 12 1 1 -4 1 0…

A: LU decomposition

Q: +Solve by substitution y = 4x-3 and 3x+y=32 2x + 2y = 2 and x = y + 15

A: Given :y=4x-3        3x+y=32    2x+2y=2   x=y+15

Q: What is the amplitude, period, phase shift and y-intercept (exact and approximate) of f(x)? Sketch…

A: Using graph

Q: Enrollment in a university changed approximately from 9,000 students 2015 to 6,000 students in 2021.…

A:

Q: 7. A 200-litre tank initially contains 100 litres of water with a salt concentration of 0.1 grams…

A:

Q: Thirty cities were researched to determine whether they had a professional sports team, a symphony,…

A:

Q: -X Graph the function y = - 8 e over the interval [-3,3]. Choose the correct graph below. O A. B. Ay…

A: SOLUTION: As per given function y=-8e-x  ;in interval [-3,3] As we know above function is…

Q: Find a non-zero vector 7 perpendicular to the vector u = 5= [8]. 6

A:

Q: Divide and simplify. 5+6i 3-8 i

A:

Q: a) Let A be a square matrix. If A = pB and B =qAt for some matrix B and numbers p and q, show that…

A: The answers are given below.

Q: 1. A tank initially contains 200 gallons of water. A 2lb of salt per gallon of brine solution, flows…

A:

Q: In a AABC, the side lengths are given as AB = 15. BC = 18 and CA= 24. Determine the distance between…

A:

Q: Solve √4x - 7+3=0. There are no solutions in the set of real numbers. O x = 4 O x = -4 O x = 0

A: The equation is 4x-7+3=0

Q: Find the length of side a in simplest radical form with a rational denominator. X 4

A: I have solved by using properties of  special right triangle...go through the solution...hope you…

Q: 3- Find Eigenvalues and Eigenvectors for the following matrices: [104 [3 i- A = [2¹0] ii- A = 0 2…

A: Solution

Q: C. 1 4 5/3 9|48|9

A:

Q: 27-j+4k sī +2j-2k.

A:

Q: Let A, B, C and D be the matrices defined below: 0 -2 √√3 A: +-67²- | √3 0 -2 2 3 0 (a) Compute det…

A: We have given matricesA=0-230, B=0-2330-2230, C=0-10-102+1-102, D=01-20300100-10-1000

Q: A principal of $12,000 is invested in an account paying an annual interest rate of 7%. Find the…

A: Compounded quarterly , n=4

Q: Find the weight in kilograms of a 155-pound person.

A: Topic = Algebra