4. (The last two questions are linked as a part 1 and 2, and they are each worth 4 points). You work in the HR department of a large corporation. Productivity is going down and the corporation is losing money, and everyone knows that a major reason for this is: many workers are showing up late or not at all while their colleagues are swiping their employee cards for them. For part 1, use the Fraud Triangle to identify why employees are doing this (you can be a little creative and invent some more details for the case) and propose a short-term solution that will solve this problem quickly.

5. For part 2 of the same situation, use the Fraud Triangle to deal with the issue in a ‘deeper’ way and propose a long-term solution that will solve the problem and create even more benefits for the corporation going into the future.

Let S be the cone z = 4 − ( x^2 + y^2)^(1/2) where z ≥ 0, oriented with downward pointing unit normal vectors. The image below contains S. The grey plane is the xy-plane. Let F~ (x, y, z) = <− z , x − y , x + y >. Use Stokes’ Theorem to evaluate Z Z S ∇ × F~ · dS~.

Let y =

U1 =

U2 =

Find the distance from y to the plane in R3 spanned by U1 and U2. Exact answer please.

On January 1, 2019, Happy Company purchased equipment for $114,000. The equipment was assigned a useful life of 15 years and a $6,000 residual value. Happy Company will use the straight-line method to depreciate the equipment.

On January 1, 2023, Happy Company revised the life of the equipment from 15 to 20 years.

On January 1, 2026, Happy Company revised the life of the equipment from 20 to 12 years.

On January 1, 2028, Happy Company spent $58,000 to overhaul the equipment. This capital expenditure resulted in Happy Company changing the life of the equipment from 12 years to 25 years and adjusting the residual value to be $5,650 at the end of the 25 years.

Calculate the book value of the equipment at December 31, 2030.

On January 1, 2019, Happy Company purchased equipment for $114,000. The equipment was assigned a useful life of 15 years and a $6,000 residual value. Happy Company will use the straight-line method to depreciate the equipment. On January 1, 2023, Happy Company revised the life of the equipment from 15 to 20 years. On January 1, 2026, Happy Company revised the life of the equipment from 20 to 12 years. On January 1, 2028, Happy Company spent $58,000 to overhaul the equipment. This capital expenditure resulted in Happy Company changing the life of the equipment from 12 years to 25 years and adjusting the residual value to be $5,650 at the end of the 25 years. Calculate the book value of the equipment at December 31, 2030.

Integral x^5-x^4+4x^3-4x^2+8x-4 / ( x^3+2)^3(x^2-1) dx

Design a Turing Machine to construct the function f(n) = 4 [1/4 n] + 2, (that is, 2 more than 4 times the integer part of 1/4 n) for n Element N. Do not just produce a TM, but also describe briefly how it works. There is a TM in the Cooper notes that does something similar. You may modify it to produce the required TM, or produce a machine totally independently.

1) List and explain 4 types of nonbank financing 2) Explain the 4 types of derivatives and give an example of each.

1) List and explain 4 types of nonbank financing 2) Explain the 4 types of derivatives and give an example of each.

Input Format

4 1 2 3 4

Constraints

there will be no more than 50 input numbers.

Output Format

Odd: 2 Even: 2 Divisible by 7: 0 Average: 250

Sample Input 0

4
1 2 3 4

Sample Output 0

Odd: 2
Even: 2
Divisible by 7: 0
Average: 250

import java.io.*;

import java.math.*;

import java.security.*;

import java.text.*;

import java.util.*;

import java.util.concurrent.*;

import java.util.regex.*;

public class Solution {

    public static void main(String[] args) throws IOException {

        BufferedReader bufferedReader = new BufferedReader(new InputStreamReader(System.in));

        int n = Integer.parseInt(bufferedReader.readLine().trim());

        String[] arrTemp = bufferedReader.readLine().replaceAll("\\s+$", "").split(" ");

        List<Integer> arr = new ArrayList<>();

        for (int i = 0; i < n; i++) {

            int arrItem = Integer.parseInt(arrTemp[i]);

            arr.add(arrItem);

        }

        // You now have an array of integers called arr. You should process the array to achieve the results.

        // note that you can refer to items in arr using standard Java array notation

        // arr[0] will give you the item at location 0 in this array

        // Write your code here

        bufferedReader.close();

    }

}