# Q-1 The sum of $500,000 has been placed in an investment which earns interest…

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Q-1 The sum of $500,000 has been placed in an investment which earns interest at the rate of 12% per year compounded quarterly.complete the following table with regard to quarterly compounded.what is total interest for the year?Quarter Principal Interest Compound Amoun1 $500,000 $15,000 $515,0002 34Q-2 A sum of $20,000 is invested in a savings amount which pays interest at a rate of 8% per year compounded annually.If the amount is kept on deposit for 10 years,what will the compounded amount equal? how much interest will be earned during the 10 yearsQ-3 The nominal interest rate on a investment is 16% per year.Determine the effective annual interest rate if (a) interest is compounded semi-annually and (b) interest is compounded quarterlyQ-4 If $60,000 is to grow to $180,000 over a 10 year period,at what annual interest rate it must be invested,given that interest is compoundedquarterly?

Suppose you need to make a lump sum payment of $4,000 in 8 years. What amount should you deposit today

Suppose you need to make a lump sum payment of $4,000 in 8 years. What amount should you deposit today at 2.6% annual interest rate compounded annually in order to have the exact amount needed to make the payment in 8 years? Please, round your answer to the nearest dollar.

Network flows question.2.4 Consider the graphs shown in Figure 2.26. (a) Do the graphs contain a directed in-tree for some

Network flows question.2.4 Consider the graphs shown in Figure 2.26. (a) Do the graphs contain a directed in-tree for some root node? (b) Do the graphs contain a directed out-tree for some root node? (c) In Figure 2.26(a), list all fundamental cycles with respect to the following spanning tree T = {(I, 5), (I, 3), (2, 5), (4, 7), (7, 5), (7, 9), (5, 8), (6, 8)}. (d) For the spanning tree given in part (c), list all fundamental cuts. Which of these are the s-t cuts when s =1 and t =9?

1.Let’s pretend that our current system of money was strictly Base Ten, so that the only currency that we used

1.Let’s pretend that our current system of money was strictly Base Ten, so that the only currency that we used are pennies, dimes, one dollar bills, ten dollar bills, hundred dollar bills, thousand dollar bills and so on. Instead of drawing pictures of the money, these abbreviations for each kind of coin or bill will be used: penny (A), dime (B), one dollar bill (C), ten dollar bill (D), hundred dollar bill (E), thousand dollar bill (F), and so on. Since you are entering the teaching profession, you probably won’t need to handle anything higher than a thousand dollar bill, but who knows what the future holds?Write down the exchange that could be made for each of the following: – BBBBBBBBBB = – DDDDDDDDDD = – EEEEEEEEEE = 2.Let’s pretend that our current system of money was strictly Base Ten, so that the only currency that we used are pennies, dimes, one dollar bills, ten dollar bills, hundred dollar bills, thousand dollar bills and so on. Instead of drawing pictures of the money, these abbreviations for each kind of coin or bill will be used: penny (A), dime (B), one dollar bill (C), ten dollar bill (D), hundred dollar bill (E), thousand dollar bill (F), and so on. Since you are entering the teaching profession, you probably won’t need to handle anything higher than a thousand dollar bill, but who knows what the future holds?Write down the exchange that could be made for each of the following: – BBBBBBBBBB = – CCCCCCCCCC = – EEEEEEEEEE = 3.Let’s pretend that our current system of money was strictly Base Ten, so that the only currency that we used are pennies, dimes, one dollar bills, ten dollar bills, hundred dollar bills, thousand dollar bills and so on. Instead of drawing pictures of the money, these abbreviations for each kind of coin or bill will be used: penny (A), dime (B), one dollar bill (C), ten dollar bill (D), hundred dollar bill (E), thousand dollar bill (F), and so on.Form each sum by combining the two addends into one lump. Make exchanges as necessary so that the sum is represented by the least number of coins or bills. -AAABBBCDDDD AABBBBBBBCCC = -AAAACCCCCCCCEEE AAABCCCCCCC = -AAAAEEEEEEE AAAAAAEEEEEEEEE = 4.Let’s pretend that our current system of money was strictly Base Ten, so that the only currency that we used were pennies, dimes, one dollar bills, ten dollar bills, hundred dollar bills, thousand dollar bills and so on. Instead of drawing pictures of the money, these abbreviations for each kind of coin or bill will be used: penny (A), dime (B), one dollar bill (C), ten dollar bill (D), hundred dollar bill (E), thousand dollar bill (F), and so on.Form each sum by combining the two addends into one lump. Make exchanges as necessary so that the sum is represented by the least number of coins or bills. Write your answer for each in alphabetical order with no spaces or commas. -AABBCCCDDDD AAABBBBBBBBCC = -ACCCCCCCEEE AAABBBCCCCCCCC = -AAAAAAAAEEEE AAAAAAEEEEEE =

If U = {whole numbers from 1 to 15}; A = {1, 2, 3, 4, 5}; B = {2, 4,

Mathematics Assignment Writing ServiceIf U = {whole numbers from 1 to 15}; A = {1, 2, 3, 4, 5}; B = {2, 4, 6, 8, 10}; C = {5, 10, 15} and D = {3, 6, 9, 12, 15}. List the elements of the following sets.1. A U B ______________________________________________________________2. C U D ______________________________________________________________3. B U C ______________________________________________________________4. A Ռ B ______________________________________________________________5. B Ռ C ______________________________________________________________6. C Ռ D ______________________________________________________________7. A Ռ D ______________________________________________________________8. A U B Ռ C ___________________________________________________________9. C U D Ռ A ___________________________________________________________10. A Ռ D U B _________________________________________________________

How Does the Government Spend Your Tax Money? Go to https://www.nationalpriorities.org/budget-basics/federal-budget-101/spending/ and answer the following questions:What is the difference between

How Does the Government Spend Your Tax Money? Go to https://www.nationalpriorities.org/budget-basics/federal-budget-101/spending/ and answer the following questions:What is the difference between mandatory spending, discretionary spending, and interest on debt?How much money was spent on discretionary programs during 2015? List the programs this money went to.Which was the largest? The smallest? Does this surprise you? Why or why not?How much money was spent on mandatory programs during 2015? List the programs this money went to.Which was the largest? The smallest? Does this surprise you? Why or why not?Overall, what are the top 3 programs Congress spent revenue on during 2015?

A bus traveled from the terminal to the airport at an average speed of 30 miles/hour and the trip took

A bus traveled from the terminal to the airport at an average speed of 30 miles/hour and the trip took one hour and 40 minutes. The bus then traveled from the airport back to the terminal and again averaged 30 miles/hour. However, the return trip required 100 minutes. Explain.

A specialty candy shop makes chocolate covered cherry and graham cookie bites. The cherry is spherical with a diameter of

A specialty candy shop makes chocolate covered cherry and graham cookie bites. The cherry is spherical with a diameter of 3 cm and the graham cookie is a rectangular prism with a base measuring 4 cm by 4 cm and a thickness of 0.5 cm. What is the total surface area of the bite if each piece is drenched in chocolate from top to bottom before being put together, to the nearest tenth of a square centimetre?

Parents are having triplet babies and have put 4 unique name cards in a bowl. * When the first baby

Parents are having triplet babies and have put 4 unique name cards in a bowl. * When the first baby is born, a parent draws a card and gives the baby that name.* When the second baby is born, the parent draws a card from the remaining names.* When the third baby is born, the parent draws a card from the remaining names.How many combinations of names were possible for those three babies?

What is the theoretical probability of rolling a fair die and obtaining a 1? If you roll a fair die

What is the theoretical probability of rolling a fair die and obtaining a 1? If you roll a fair die 6 times, how many times would you expect, theoretically, of obtaining a 1? What if you performed an experiment and rolled the die 6 times. Will you definitely obtain your theoretical answer? Why is experimental probability often different than theoretical probability? What do you think you should expect if you increase the number of trials, that is, rolls of the die? Why?

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