1. The amount of time a tire lasts is normally distributed with a mean of 30,000 km and standard
deviation of 2000 km.
(a) 68% of all tires will last between ____________ km and _____________ km.
(b) 95% of all tires will last between ____________ km and _____________ km.
(c) What percent of the tires will have a life that exceeds 26,000 km? _________
(d) What percent of the tires will have a life that lasts between 28,000 and 34,000 km? ______
(e) If a company purchases 2000 tires, how many tires are expected to last
 more than 28,000 km? ___________
 between 24,000 and 32,000 km? ____________

C++

Write a whole program to read 50 salaries from the file “Salaries.txt” and print them on the screen (each value on a separate line), you have to also save the grades (each value on a separate line) into another file “SalariesWithBonus.txt” after you add a bonus of two percent to each salary (example For the salary 100000 a bonus of 2000 will be added as 100000 X 0.02 = 2000). Your code should check whether the file “Salaries.txt” opened successfully; otherwise your program will terminate (by calling the exit function) indicating that it was due to an error.

Homework 5: Time value of money

1. You make a onetime deposit of $2000. Your investment period is 40 years and the interest rate is 9%.  How much you will have in your account after 40 years.

2. You decide to make an annuity deposit every year. You earn 9% on your investment.  If the deposit  amount is $2000 per year, how much you will have in your account after 40 years provided  (i) deposits are made at the end of each year (ii) deposits are made at the beginning of each year

Annuity

(i) You want to purchase a Honda Civic, but you choose to make an initial payment of $2000 and make monthly payments of $400. If the monthly interest rate is 1% and you will make 48 monthly payments for the Civic, what is the present value of your payment scheme?

(ii) If you decide to buy a Chevy Malibu that is more expensive, you are informed that you have to make an initial payment of $2000 and make 60 monthly payments of $400. Assume monthly interest rate is 1%. What is the present value of the payment scheme for buying a Malibu?

The research department of AMS SHINE Co. Ltd estimated that the supply function for their television sets is given by x r w s Qx  2000  3P  4P  P Where Px is the price of TV sets, Pr represents the price of a computer monitor, and Pw is the price of an input used to make televisions. Suppose TVs are sold for GH¢400 per unit, computer monitors are sold for GH¢100 per unit, and the price of an input is GH¢2000. (a) How many television sets are produced? (b) Drive and sketch the supply function (c) The Producer

Prepare statement of profit and loss and statement of financial position

Please show all work and assumptions made, and if possible explain your thoughts. Thank you!

1. How many human “radiators” are required to produce the same power as the world average of 20 Terawatts ? Assume 2000 Calorie per day diets! Answer is 210 billion but I dont know how to get it

2. What conclusion(s) can you draw from your answer to the previous problem?   
   hint: how does this value compare to the power radiated by all people on earth assuming that each person eats 2000 Calories per day?

A city is hosting an annual marathon event and wants to produce t-shirts. Maria was able to obtain previous years’ demand and probability data as given in below table. She also estimates:

Selling price is $10, cost is $3, and the salvage value is $1.

Calculate all numbers in the payoff table. Show all work. How many shirts should be made to maximize profit?

A senior engineer at Company C has recommended the company to replace a 2-year-old measurement device immediately. He believes that it can be shown that the proposed equipment is economically advantageous at a 15% per year rate in a 5-year time span.

b. Determine the Economic Service Life (ESL) at interest of 10% per year for a machine that has a first cost of $100,000 with the data below Year AOC Market Value 1 -$1000 $7000 2 -$1200 $5000 3 -$1500 $4200 4 -$2000 $3000 5 -$3000 $2000

Create a python program to determine which years are leap years (see key information at the bottom). Note: Do not use any lists.

1. Define a function that takes a parameter (year) and verifies if the parameter year is a leap year. If it is a leap year, the function returns True. Else, it returns False. Note: the function should not print anything.

2. Using the function, check if each of the years from 2000 to 2200 (both inclusive) is a leap year.

3. Output all the leap years between 2000 and 2200 in a single line

4. Program should end by printing the number of leap years found, with a short message.

Key information to determine if a given year is a leap year or not:

1. Determine whether the year is divisible by 100. If it is, then the year is a leap year if and only if the year is also divisible by 400. For example, 2000 is a leap year, but 2100 is not.

2. If the year is NOT divisible by 100, then the year is a leap year if and only if it is divisible by four. For example, 2008 is a leap year, but 2009 is not