Solve using the same approach as the solution using Matlab for this differential equation
d^2y/dt^2 + 6dy/dt + 9y = cos(t)
has initial conditions y(0)=1 y'(0)=2, Find Y(s) and without finding y(t),
determine what function of time will appear in the solution
%}
clear, clc
syms Y s t real
rhs = laplace(cos(t),t,s)
eqn1 = s^2*Y - s*2 - 1 + 6*s*Y -1 + 9*Y ==rhs
myanss = solve(eqn1,Y)
mypart = partfrac(myanss,'FactorMode','real')
%{
mypart =
(0.08*s + 0.06)/(s^2 + 1.0) + 1.92/(s + 3.0) - 4.3/(s + 3.0)^2
first term yields
exp(-b*t)*cos(w*t)
2nd term yields exp(-3*t)
3rd term yields t*exp(-3*t)
check
%}
myanst = (ilaplace(mypart,s,t))
%{
myanst =
exp(-t*1.0i)*(0.04 + 0.03i) + exp(t*1.0i)*(0.04 - 0.03i) + 1.92*exp(-3.0*t) - 4.3*t*exp(-3.0*t)
%}
T = [0, 20]
fplot(myanst,T)In: Computer Science
Drumpf suppy has the following accounts receivable aging schedule as at december 31,2015.
| Accounts receivable Age | Amount | proportion expected to dedaulf | allowance required |
| current | $150,000 | 0.5% | |
| 1-30 days past due | $65,000 | 1.0% | |
| 31-45 days past due | $16,500 | 13.0% | |
| 46-90 days past due | $4,500 | 20.0% | |
| 91-135 days past due | $3,000 | 25.0% | |
| over 135 days past due | $1,500 | 60.0% |
The balance in drumpf's allowance for doubtful accounts at the beginning of the year is $6,000(credit). During the year, accounts in the total amount of $4,500 were writeen off.
1.use formulas to calculate the allownace required for each line and the total allowance requied.
2.based on aging of receivables, the bad debit expense is___ (build the bad debt expense equation)
3. prepare the journal entry for bad debt expense
4.determine the bad debt expense using the percentafe of credit sales method at 1.5%. Credit sales for the year are $493,000. And prepare the journal entry for bad expense
5. Which method will result in the higher net income for the company?
Which method would a for-profit company probably prefer in these circumstance?
Please explain.
In: Accounting
In an article in the Journal of Management, Joseph Martocchio studied and estimated the costs of employee absences. Assume an infinite population. The mean amount of paid time lost during a three-month period was 1.0 day per employee with a standard deviation of 1.4 days. The mean amount of unpaid time lost during a three month period was 1.2 days per employee with a standard deviation of 1.6 days. Suppose we randomly select a sample of 100 blue-collar workers.
In: Math
Problem 1
A farm has been experimenting with a special diet for its horses. The feed components for the diet are
a standard feed product, a vitamin-enriched oat product, and a new vitamin and mineral feed additive
(detail below). The minimum daily diet requirements for each horse are 3 units of ingredient A, 6 units
of ingredient B, and 4 units of ingredient C. In addition, to control the weight of the horses, the total
daily feed for a horse should not exceed 6 pounds. The farm would like to determine the minimum-
cost mix that will satisfy the daily diet requirements.
Ingredients [in units] to Produce One Pound of Special Die
|
Feed Component |
Standard |
Enriched Oat |
Additive |
|
Ingredient A |
0.8 |
0.2 |
0.0 |
|
Ingredient B |
1.0 |
1.5 |
3.0 |
|
Ingredient C |
0.1 |
0.6 |
2.0 |
|
Cost Per Pound |
$0.25 |
$0.50 |
$3.00 |
On a separate piece of paper, define the variables and formulate the mathematical model for this problem.
Enter the model into Excel's Solver and solve it. How many pounds of Standard product, Enriched Oat, and Additive should be used in the mix to generate the lowest possible total cost?
Please complete on excel using solver so I can see how to format and what cells to link
In: Math
After a careful evaluation of investment alternatives and opportunities, Masters School Supplies has developed a CAPM-type relationship linking a risk index to the required return (RADR), as shown in the table
LOADING...
.
The firm is considering two mutually exclusive projects, A and B. Following are the data the firm has been able to gather about the projects.
|
Project A |
Project B |
|
|
Initial investment
(CF 0CF0) |
$ 22 comma 000$22,000 |
$ 30 comma 000$30,000 |
|
Project life |
77 years |
77 years |
| Annual
cash inflow
(CF nbspCF ) |
$ 6 comma 000$6,000 |
$ 10 comma 900$10,900 |
|
Risk index |
0.60.6 |
1.61.6 |
All the firm's cash flows for each project have already been adjusted for taxes.
a. Evaluate the projects using risk-adjusted discount
rates.
b. Discuss your findings in part
(a),
and recommend the preferred project.
a. The net present value for project A is
$______
(Round to the nearest cent.)
|
Risk index |
Required return (RADR) |
|
0.0 |
7.1 %7.1% (risk-free rate,Upper R Subscript Upper FRF) |
|
0.2 |
8.0 |
|
0.4 |
8.9 |
|
0.6 |
9.8 |
|
0.8 |
10.7 |
|
1.0 |
11.6 |
|
1.2 |
12.5 |
|
1.4 |
13.4 |
|
1.6 |
14.3 |
|
1.8 |
15.2 |
|
2.0 |
16.1 |
In: Finance
F. Pierce Products Inc. is considering changing its capital structure. F. Pierce currently has no debt and no preferred stock, but it would like to add some debt to take advantage of low interest rates and the tax shield. Its investment banker has indicated that the pre-tax cost of debt under various possible capital structures would be as follows:
| Market Debt- to-Value Ratio (wd) |
Market Equity-to-Value Ratio (ws) |
Market Debt- to-Equity Ratio (D/S) |
Before-Tax Cost of Debt (rd) | |
| 0.0 | 1.0 | 0.00 | 7.0% | |
| 0.2 | 0.8 | 0.25 | 8.0 | |
| 0.4 | 0.6 | 0.67 | 10.0 | |
| 0.6 | 0.4 | 1.50 | 12.0 | |
| 0.8 | 0.2 | 4.00 | 15.0 | |
F. Pierce uses the CAPM to estimate its cost of common equity, rs and at the time of the analaysis the risk-free rate is 5%, the market risk premium is 8%, and the company's tax rate is 40%. F. Pierce estimates that its beta now (which is "unlevered" because it currently has no debt) is 1.15. Based on this information, what is the firm's optimal capital structure, and what would be the weighted average cost of capital at the optimal capital structure? Do not round intermediate calculations. Round your answers to two decimal places.
| DEBT | % |
| EQUITY | % |
| WACC | % |
In: Finance
A person writes a project with unit conversion functions, although she doesn’t use all of them. The conversions would be useful in a library. Create the library and modify the main.c to use the library. What is the name of your library?
|
#include <stdio.h> // has printf() float inches2metres(float length_in_inches); float metres2inches(float length_in_metres); float pounds2kg(float weight_in_pounds); float kg2pounds(float mass_in_kg); float hours2seconds(float time_in_hours); float seconds2hours(float time_in_seconds); int main(void){ int i; float speed_mperhour, speed_inchespersec; printf(“speed (km/hr) speed (in/sec) \n\r”); for (i=1; i<=100;i++) { speed_inchespersec = metres2inches(i*1000.0)/hours2seconds(1.0); printf(“%f %f \n\r”, i, speed_inchespersec); } return 0; float inches2metres(float length_in_inches){ return (length_in_inches * 0.0254); // answer in metres float metres2inches(float length_in_metres){ return (length_in_metres * 39.3701); // answer in inches float pounds2kg(float weight_in_pounds){ return (weight_in_pounds * 0.453592); // answer in kilograms float kg2pounds(float mass_in_kg){ return (mass_in_kg * 2.20462) // answer in pounds float hours2seconds(float time_in_hours){ return (time_in_hours * 3600.0) // answer is seconds float seconds2hours(float time_in_seconds){ return (time_in_seconds / 3600.0) // answer is hours |
In: Computer Science
The December 31, 2019, balance sheet for Franklin Corporation is presented here. These are the only accounts on Franklin’s balance sheet. Amounts indicated by question marks (?) can be calculated using the following additional information:
| FRANKLIN CORPORATION Balance Sheet As of December 31, 2019 |
|||
| Assets | |||
| Cash | $ | 40,000 | |
| Accounts receivable (net) | ? | ||
| Inventory | ? | ||
| Property, plant, and equipment (net) | 294,000 | ||
| $ | 441,000 | ||
| Liabilities and Stockholders’ Equity | |||
| Accounts payable (trade) | $ | ? | |
| Income taxes payable (current) | 40,000 | ||
| Long-term debt | ? | ||
| Common stock | 300,000 | ||
| Retained earnings | ? | ||
| $ | ? | ||
| Additional Information | |||
| Current ratio (at year end) | 1.5 to 1.0 | ||
| Total liabilities ÷ Total stockholders’ equity | 80 | % | |
| Gross margin percent | 30 | % | |
| Inventory turnover (Cost of goods sold ÷ Ending inventory) | 9.8 | times | |
| Gross margin for 2019 | $ | 315,000 | |
Required
(For all requirements, negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to the nearest whole dollar amount.)
|
||||||||||||
In: Accounting
The December 31, 2019, balance sheet for Baird Corporation is presented here. These are the only accounts on Baird’s balance sheet. Amounts indicated by question marks (?) can be calculated using the following additional information:
| BAIRD CORPORATION Balance Sheet As of December 31, 2019 |
|||
| Assets | |||
| Cash | $ | 20,000 | |
| Accounts receivable (net) | ? | ||
| Inventory | ? | ||
| Property, plant, and equipment (net) | 295,000 | ||
| $ | 442,000 | ||
| Liabilities and Stockholders’ Equity | |||
| Accounts payable (trade) | $ | ? | |
| Income taxes payable (current) | 20,000 | ||
| Long-term debt | ? | ||
| Common stock | 301,000 | ||
| Retained earnings | ? | ||
| $ | ? | ||
| Additional Information | |||
| Current ratio (at year end) | 1.5 to 1.0 | ||
| Total liabilities ÷ Total stockholders’ equity | 70 | % | |
| Gross margin percentage | 20 | % | |
| Inventory turnover (Cost of goods sold ÷ Ending inventory) | 12.5 | times | |
| Gross margin for 2019 | $ | 318,000 | |
Required
(For all requirements, negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to the nearest whole dollar amount.)
| a. | accounts payable | |
| b. | retained earnings | |
| c. | inventory |
In: Finance
After a careful evaluation of investment alternatives and opportunities, Masters School Supplies has developed a CAPM-type relationship linking a risk index to the required return (RADR), as shown in the table
LOADING...
.
The firm is considering two mutually exclusive projects, A and B. Following are the data the firm has been able to gather about the projects.
|
Project A |
Project B |
|
|
Initial investment
(CF 0CF0) |
$ 23 comma 000$23,000 |
$ 28 comma 000$28,000 |
|
Project life |
77 years |
77 years |
| Annual
cash inflow
(CF nbspCF ) |
$ 7 comma 200$7,200 |
$ 10 comma 300$10,300 |
|
Risk index |
0.20.2 |
1.41.4 |
All the firm's cash flows for each project have already been adjusted for taxes.
a. Evaluate the projects using risk-adjusted discount
rates.
b. Discuss your findings in part
(a),
and recommend the preferred project.
a. The net present value for project A is
$nothing .
(Round to the nearest cent.)
|
Risk index |
Required return (RADR) |
|
0.0 |
7.5 %7.5% (risk-free rate,Upper R Subscript Upper FRF) |
|
0.2 |
8.68.6 |
|
0.4 |
9.79.7 |
|
0.6 |
10.810.8 |
|
0.8 |
11.911.9 |
|
1.0 |
13.013.0 |
|
1.2 |
14.114.1 |
|
1.4 |
15.215.2 |
|
1.6 |
16.316.3 |
|
1.8 |
17.417.4 |
|
2.0 |
18.518.5 |
In: Finance