In 1992, the four-year cost of tuition at UMass was $19,000. Tuition is expected to rise 79% Qver the following decade. (b) How much should parents of a child born in 1992 invest at the time of the child's birth at 8% annual interest compounded continuously in order to have sufficient tuition for their child at age 187 (c) A family is able to invest $5, 000 in 1992 at 9% annual interest, compounded monthly. How long will it take for this amount to grow suficiendly to cover 4 years' tuition? (Note: the cost of tuition is not fixed, it is a function of ime.)

Q: When u say value of 0 and 1 do you mean the coefficients? And can you clarify the last part a bit…

A: Yes, I do mean the regression model's coefficients when I refer to "the values of 0 and 1". With…

Q: 21. Starting again with the container of marbles in problem 19, suppose you pick a marble out and…

A: 21) Number of marbles in a container is 12. Number of red marbles is 4. Number of white marbles is…

Q: how would you go about simplifying the problem in part c

A: (-a340+75)2=602-a We will calculate value of a.

Q: b) (x-1)² 4 (y + 2)² 9 = −1 5 -5 5

A: This is the standard form of a hyperbola that opens up and down. Let's identify its properties…

Q: What is the first answer cant read it quite well

A: Let's find 1st answers.

Q: see the answer for #6 but can not find #7-10?

A:

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: I have a few questions for some problems

A: These are the given triangles  ABC and PQR

Q: than one answer besides C. I know it's C, but what are t

A: We have to find the expression of A.

Q: 3. EVALUATE EACH OF THE FOLLOWING: A. 23 X (31-4²) =

A:

Q: = B=( nds 2A – 38. Sean A %3D y B = Finds 2A 3B.

A:

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

A:

Q: -3 1 -3 -2 A = B = -1 1 2 -2 Ex: 42 7 AB = АВ -5 2.

A: Given:        A=0-3-2-121        B=-310-12-2    Multiplying Matrix A and B   AB=0-3-2-121·-310-12-2

Q: 2 e2xdx

A:

Q: [2 3 4 B=034 LO 0 4

A:

Q: (d.) If x is equal to 25, what is the simplified numeric value of x2 2x5 + + + 2х (Your answer…

A: First simplify the terms then put x = 25

Q: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).

A: We use Venn diagram to solve the given question.

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Please help with the following math question: Let  AB= BA=

A:

Q: O -2 1 -1 A = 2 and C = 1 1 2 -1 -1, 4A + 0.5C

A: Give matrices are, A=0-22021C=1-111-1-1 Multiplying matrix A with 4. 4A=40-220214A=0-88084

Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.