An amount of $200,000 is borrowed for 5 years at a rate of 12%. Make an amortization schedule showing the quarterly payment, the quarterly interest on the outstanding balance, the portion of the payment going toward reducing the debt, and the balance.

can someone explain the stokes theorem using an example other than flux or work?

Solve by using eigen value of matrices. Provide a solution family of real functions.

x'=4x-10y

y'=5x-6y

Find a primitive root for: (a) n = 18, (b) n = 50 (c) n = 27, (d) n = 625.

Using only membership tables (i.e., without Venn diagrams or set identities), prove or disprove that (? − ?) ∪ (? − ?) and ((? − ?̅) − ?) ∪ (? ∩ ?̅) ∪ (? − (? ∪ ?)) are equivalent. Ensure that you fill the table completely, even if you are disproving this equivalence, and do not skip any columns.

Show that every cauchy sequence of reals is convergent

The following has been received as a result of bids.

17. An RFP was issued for business training in an office environment. As a result, seven proposals were received. The subsequent rated and price evaluations for the firms are below.

Firm                             Rated Evaluation                    Financial Bid

A                                             90                                $150.000

B                                             85                                $140,000

C                                             80                                $120,000

D                                             75                                $110,000

E                                              70                                $120,000

F                                              65                                $119,000

G                                             60                                $100,000               

The evaluated pass mark for this requirement was 70

1. Which firm would be recommended to be awarded the contract if the method of evaluation is the lowest priced responsive (technically compliant) proposal?

2. Which firm would be recommended to be awarded the contract if the method of evaluation is the lowest priced responsive (technically compliant) proposal and there was a stipulated maximum financial budget of $139,000?

3. Which firm would be recommended to be awarded the contract if the method of evaluation is lowest price per point?

4. Which firm would be recommended to be awarded the contract if the method of evaluation is highest combined rating with price at 50% and rated evaluation 50% of the total?

5. Which firm would be recommended to be awarded the contract if the method of evaluation is highest combined rating with price at 25% and rated evaluation 75% of the total?

Note: you MUST show any calculations.

Suppose you are on a game show and are shown three doors. Behind two are goats, and behind the third is a shiny new car. You are asked to pick a door, and will win whatever is behind it. Let's say you pick door 1. Before the door is opened, however, the host, who knows what's behind the doors, opens one of the other two doors, revealing a goat, and asks you if you wish to change your selection to the third door (i.e., the door that neither you nor he opened). What should you do?

Find the amount of the payment to me made into a sinking fund so that enough will be present to accumulate the following amount. Payments are made at the end of $95,000; money earns 4% compounded semiannually for 2 and a half years.

the payment size is $

(do not round until the final answer. then round to the nearest cent)

Prove that 3^n + 7^(n−1) ≡ 4 (mod 12) for all n ∈ N+.

h Consider a solid T enclosed by the paraboloid z = x^2 +y^2 and the plane z = 4 (the solid above the paraboloid and below the plane). Let M the (closed) surface representing the boundary surface of T. The surface M consists of two surfaces: the paraboloid M1 and the lid M2. Orient M by an outward normal. Let F=(z,2y,-2)

Compute the integral using the Divergence theorem. Carry out the computation of the triple integral using the spherical coordinates.

A is allowed to select any date of the year other than December 31. B may then select any date later in the same month or the same day of any later month. For example, if A selects June 16, then B may choose any later date in June or the 16th of any month from July to December. Using the same rule with regard to the date that B has selected, A must select a new date, and so on. The winner is the player who arrives at December 31

(a) What date should A select to begin with in order to ensure the fastest possible win?

(b) What if A must start with a date in January? ([27], May 1971).

Full shown work and answer please.

Given ( x + 2 )y" + xy' + y = 0 ; x0 = -1