Q and A for the topic: General

Financial mathematics How much money will I have after 10 years in a trust if I dedicate myself to saving UM 1,100.00 monthly and the bank offers 4.5% annual interest compounded monthly?

The given triangle is ABC, A(-2.2), B(3,4), C(-4,7), construction) angle at the top C

test the equality of the means of the two populations that you are dealing with alpha is 0.05.construct a 95% confidence interval about the differences on mean values of the two populations.what conclusions can you make about the equality of the two population means by just referring to the confidence interval that you constructed.

ABC Corporation is a start-up company that went public in January 2024. Its IPO was initially priced at £50 per share, but by March 2024 its price reached £70 per share. Assume you have £10,000 to invest and the initial margin requirement is 50% of total funds. You decide to buy on margin at the current price of £70 per share. The maintenance margin call is set at 30%.Question: After the short sale, the share price rises to £85 per share. Compute your new equity value and determine whether you will receive a margin call. I need process thank

The measurement of two angles of a triangle are 147 and 17. Find the measurement of a third angle.

I so a production supervisor for the LTD company. His name is Melvin and he was just to compare production levels at the companies for plants. The weekly levels tons are collected over seven week. Production tons for the four locations are the following location a is 51.3 location B is 38.3 location C is 47.1 and location is 40.2. I have to use Alpha 0.05 number for Table For between sample treatment is 761.4 and within sample error is 1514.7 so I need to figure out the degree of freedom forever MSE and then I have to determine if there’s a difference between the production levels at the facilities because the calculated value is 4.02 so it’s true

Emilce has invested a total of $12,000 in two savings accounts that pay 5% and 8% annual simple interest. Find the amount invested in each account knowing that a total of $840 in interest is received after one year.

An airplane takes off from point A. The horizontal distance from point A to point B is 4000 feet. The plane flies to a point 3000 feet directly above point B. Find the angle of elevation from point A to the plane

A group of parents decided to buy, paying in equal parts, an encyclopedia to donate to the neighborhood school, the price of which is $400. If the number of parents contributing to the purchase increased by a quarter, each one would pay $ 1 less. How many are the parents? How much does each one contribute?

Show that if m×n=1 then m=n=1 or m=n=-1

The soccer team has practiced penalty kicks, and each player now has an 84% chance of succeeding in a penalty kick. What is the probability that out of five penalties a) a maximum of 4 players can succeed

The machine M produces a product P. From the two years I and II it is known that the unit costs for manufacturing the product in the first year are kI  €42.50 and in the second year kII  €41.00. In year I 2 000 units were produced and in year II 2 500 units were produced. a) What are the values of m and b if the total costs K result from the quantity x according to the equation K(x)  m · x  b and this applies to both years I and II? State the values for m and b as well as the cost function with the values for m and b.

Question 5 JJ Company is currently deciding if they should go ahead with a potential investment opportunity. The initial investment would be £150,000. The project will generate £100,000 at the end of year 1 and 120,000 at the end of year 2. If the required rate of return used for this investment is 4%, should JJ go ahead with this investment?

To compare the efficiency of two teaching methods, a class of 24 students was divided randomly into two groups. Each group is taught according to a different method. The results at the end of the semester, on a scale of 0 to 100, are as follows: First group: 𝑛1 = 13; 𝑥̅1 = 74.5; 𝑠1 2 = 82.6 Second group: 𝑛2 = 11; 𝑥̅2 = 71.8; 𝑠2 2 = 112.6 Order: Assuming that the populations are normal and with equal and unknown variances, calculate the 95% confidence interval for the difference between the expected values of the two populations

A teacher weights the final grade as follows: 1/5 for homework, 25% for a project, 0.4 for quizzes, and 15% for final exam. Order these categories from least weighted to greatest weighted

Use 6.84 days as the planned value for the standard deviation ASSUME 95% confidence in what size the sample must be to have a margin of error of 1.5 days? If the precision statement was made with 90% confidence, what size sample should be made to have a margin of error of two days?

Select a publicly listed Australian company, that is not banking or service orientated. Explain who they are and their main business activities. Using the library database “DatAnalysis Premium” (https://datanalysis-morningstar-comau.ez.library.latrobe.edu.au/af/dathome?xtm-licensee=datpremium) type your company code into the search bar and you will have access to a range of data. On the left-hand side of the screen select “financial data” (3rd from the bottom of the list). Select the “ratio” tab and download three years of data into excel. Required: review the following ratios of your business and draw a conclusion with respect to each ratio as to how your business is performing for the last 3 years. This is not to be written in financial investing language, rather you are to interpret the information similarly to the work we undertook in class. Profitability – Net Profit Margin and ROE (Return on Equity) Asset Management – Property Plant and Equipment turnover Debt and Safety – Current ratio, Net interest cover Cashflow – Days inventory, Days receivables and Days payables.

1. For the case of a transverse wave moving to the right, determine the parameters of period, frequency, wavelength, transverse velocity, the equation of transverse position of the wave, maximum values of transverse velocity and acceleration, knowing that the angular frequency is 6.8 rad/s, the wave number is 4 m-1 and the phase constant is π/4 rad. 2. The values of the position, velocity and acceleration of the movement for x = 4.5m and t = 6sec

What is the probability that we choose a number that is divisible by 3 among the first 20 natural numbers? Justify your answer

What is the probability that when rolling two dice, the product of the numbers is at least 2?