Q and A for the topic: General

It is now February 1, 2049 and you have just retired. To fully enjoy your retirement, you would like to be able to withdraw an amount from your account of $75,000 for the first years of retirement.  You have accumulated vacation and sick leave which is added to your departure bonus and which can cover your expenses for the first 3 years of retirement.  Then, the first withdrawal of $75,000 is made on February 1, 2052 and the last on February 1, 2059. Thereafter, an amount of $40,000 per year will be sufficient until February 1, 2069.  The first withdrawal of $40,000 will be made on February 1, 2060 and the last on February 1, 2069. Animal lover, you would also like to leave an amount of $1,000 per year (first payment on 1 January 1, 2065) in perpetuity at the local animal shelter for which you worked volunteering all these years. The assumed interest rate on your investments throughout your retirement is 5% per year. b) How much money do you need to have amassed by the time you retire (the 1st February 2049) to finance all these needs?

determine how many milliseconds it will take to reach 10,000 atoms based on the logarithmic regression model T = a + b * log(X), Given the data points: - At time 700 ms, there are about 1500 atoms - At time 770 ms, there are 3000 atoms

a field is the shape of a right-angled triangle. the hypotenuse is 148 meters. two buildings can used as the other two sides of the field. calculate the dimensions (base and height) of the field to maximise this area. write the answer to 1 decimal place.

If a sample size n=49 is used to construct a confidence interval for a population mean, and is determined that the critical value should come from a t-distribution, what number of degrees of freedom should be used for that distribution?

What critical value should he used to construct a 90% confidence interval for a mean value n=16, s=10.5, and the population appears to be normally distributed? Round to three decimal places

The margin of error (increases or decreases?) with an increased sample size and (increases or decreases?) with an increase in confidence level.

2×4

|–𝑥−7|≥−7

as cash amount 3542.3 * 52.5

A machine produces 800 screws in 5 hours. How long will it take the machine to produce 1000 screws?

In 2002, the population in Russia was 290.9 million people. At the time, the total health care cost for the country was $1.7 trillion. Calculate the average amount per person for health care. Indicate all operations. Write your answer in a scientific notation.

Use basic inference rules to establish the validity of the argument. p → ¬q q ∨ r p ∨ u ¬r

you choose a marble at random from a bag containing 10 red marbles, 5 yellow marbles, and 1 pink marble. You replace the marble and then choose again. Find the probability of P(both red)

You choose a marble at random from a bag containing 7 green marbles, 3 purple marbles and 2 red marbles. After you pick the marble, you don't replace it and choose again. Find the probability of P(purple then green)

You choose a marble at random from a bag containing 10 red marbles, 5 yellow marbles, and 1 pink marble. You replace the marble and then choose again. Find the probability of P(yellow then red)

At 5:15 p.m. on May 1, 2022, the population of Brazil was 215,353,593. There is one new person in Brazil every 0.39 minutes. Write a linear function to model the population of Brazil as a function of the number of minutes that has passed since 5:15 p.m. on May 1, 2022. f(x)= 100/39 + 215, 353, 593 f(x) =39/100 + 215, 353, 593 f(x) = 215, 353, 5932 + 100/39 f(x) = 215, 353, 5932x + 39/100

3x+1=2x-5

The weight of an organ in adult males has a​ bell-shaped distribution with a mean of 325 grams and a standard deviation of 40 grams. Use the empirical rule to determine the following. ​(a) About 99.7​% of organs will be between what​ weights? ​(b) What percentage of organs weighs between 285 grams and 365 ​grams? ​(c) What percentage of organs weighs less than 285 grams or more than 365 ​grams? ​(d) What percentage of organs weighs between 245 grams and 365 ​grams?

Today I received $25,000 from a bank as a loan. The loan was agreed upon at 8%, capitalized quarterly. I must make a payment after one year for $12,000 and another two years after (the first payment) to pay off the loan. How much is the second payment?

A tower has a shadow of 12 meters at noon, while a 25cm bottle casts a shadow of 5cm at the same time. How tall is the tower?