A local business deposited $430,000 in a​ 2-year time deposit earning​ 4% compounded daily. At​ maturity, what is the compound amount and interest​ earned? Round to the nearest cent.

A. 465,811.40; 35,811.40

B 525,196.01 ; 95,196.01

C 484,820.46 ; 54,820.46

D 475,220.24 ; 45,220.24

2.) g(x) = 4√x − x²

2f.) Label each critical value as a local maximum or minimum. Show Work.

Local Maximum(s) at x = ____________ Local Minimum(s) at x = ____________

2g.) Determine the intervals in which y=g(x) is increasing/decreasing

g(x) increasing: ____________ g(x) decreasing: _

2h.) Determine the intervals in which y=f(x) is concave up/concave down.

g(x) concave up: ____________ g(x) concave down: ____________

2i.) Find the point(s) of inflection

Point(s) of Inflection at x = ______

2j.) lim x→∞ g(x) = _______

2k.) lim x→−∞ g(x) = _______

2l.) Use everything you determined in #2a-k to draw a nice graph. (Draw your own axes)

Problem 4-2

Presented below is the trial balance of Windsor Corporation at December 31, 2017.

A physical count of inventory on December 31 resulted in an inventory amount of $67,720; thus, cost of goods sold for 2017 is $648,720.

a) Prepare a single-step income statement. 30,372 shares of common stock were outstanding the entire year. (Round earnings per share to 2 decimal places, e.g. 1.48.)

b)Prepare a retained earnings statement. Assume that the only changes in retained earnings during the current year were from net income and dividends. (List items that increase retained earnings first.)

2. A basketball player hits 80% of her free-throws. If she gets four (4) attempts, with what probability will she:

a. hit exactly three free-throws;

b. three or more free-throws;

c. one or more free-throws?

d. What is the expected number of free-throws she will hit? (The mean).

Use the following table for 2-4.  Assume that all labor units are paid equally.

            L          Q         FC       VC      TC       MC      AFC    AVC   ATC

            ==============================================

            0           0                                A         --         --          --        --

            1           4                    

            2          10                    60                      C

            3          15                                150                                 B

2. What is the value of A?

            a)  $0

            b)  $30

            c)  $60

            d)  $210

            e)  none of the above is correct

3. What is the value of B?

            a)  $6

            b)  $10

            c)  $30

            d)  $45

            e)  none of the above is correct

4. What is the value of C?

            a)  $5

            b)  $6

            c)  $15

            d)  $30

            e)  none of the above is correct

Consider 2 two-state paramagnet systems, A and B, each containing 4 dipoles, in a magnetic field. The dipoles in System A are completely aligned, so N_­↑- N↓ =4. The dipoles in System 2 are completely random, N↑_­ = N↓. The two systems are brought together so that energy is exchanged between them. Energy conservation requires that the magnetic moment, and therefore the net spin, is unchanged, so that in equilibrium we have a system of eight dipoles with N↑ _­- N↓ =4.

1. What is the multiplicity of combined system before and after they are brought into contact?
2. What is the entropy of the combined system before and after they are brought into contact?
3. Is this process permitted by the second law of thermodynamics?

Let X be N(µ = 16, σ^2 = 4). Graph its p.d.f. and compute the following quantities.

(a) Compute the probability P(X > 10).

(b) Compute the probability P(|X − 16| < 2).

(c) Compute c so that P(X ≤ c) = 0.95.

Google has paid $2 in dividends one year ago and this year has just paid $4 yesterday. In the next three years the dividends are expected to be $1, $5, and $4 at the end of year three. From there on, the dividend will grow with a yearly growth rate g. What is this implied growth rate that shareholders expect if the stock price today is $40? (The required rate of return for this stock is 10%.)

Google has paid $2 in dividends one year ago and this year has just paid $4 yesterday. In the next three years the dividends are expected to be $1, $5, and $4 at the end of year three. From there on, the dividend will grow with a yearly growth rate g. What is this implied growth rate that shareholders expect if the stock price today is $40? (The required rate of return for this stock is 10%.)

Question #2 (Patient Flow):

• Research and discuss four (4) methods that healthcare organizations can use to improve the efficiency of patient flow.