Part 1. Short answer (30 marks)
You may provide only the final answer to each of these questions.
1. What is the interest earned on a simple interest investment at 3.8% annual rate, on
a deposit of $12 500, after 4 years? (1)
2. A $7000 investment earns $370.64 in interest in 3 years. If the investment has an
interest compounded quarterly, determine the interest rate. (1)
3. Determine the future value of monthly payments of $200 into an account that pays
4.6% interest, compounded monthly, for 15 years. (1)
4. Claire invested some of her money in a portfolio consisting of Stock A and Stock
B. She bought 50 shares of Stock A , which had a value of $4.40 each. After one
year, Stock A increased in value to $5.10/ each. Calculate the average rate of
return for Stock A. (2)
5. A student’s TVM solver looks like the one provided below. What one button can
the student use to calculate the interest paid in the second year of this borrowing
scenario?
(Note: You do not need to calculate the interest.) (1)
6. You want to buy a car that costs $31,450 before taxes. You can trade in your
current car for $800 and you have saved $1500 for a down payment. How much
will you need to borrow? (2)
7. A couple knows they can afford a bi-weekly mortgage payment of $650. The
current interest rate for a 25-year fixed-term mortgage is at 2.5%, compounded
annually. If they saved $40, 000 for a down payment, what would be the
maximum house price they should look at? (2)
8. How many possible proper subsets that can be created from the set
V={a, e, i, o, u, y}? (1)
9. Consider the two sets A = { 2, 3, 4, 6, 8} and B = {3, 4, 5, 9}. List all the
elements of � − �. (1)
10. If C represents the number of students that like canoeing, A the number of
students that like archery, and R the number of students that like rock climbing,
How many students like canoeing or rock climbing? (1)
11. Write the converse of the following conditional statement and decide its truth. (2)
“ If a number if divisible by 6, then the number is divisible by 2. “
12. If two dice are rolled, what is the probability of getting a sum of at least 8?
(rounded to 3 decimal places). (1)
13. One bag contains 4 white marbles, 5 red marbles and 1 black marble. If two
marbles are drawn in a row, with replacement, what is the probability of getting
two red marbles in a row? Give the answer n fraction form. (1)
14. Given a deck of cards, what is the probability of drawing a King or a red face
card? (rounded to 3 decimal places). (2)
15. If the probability of winning at a game is 15%, what are the odds in favour of
winning? (1)
16. What is(are) the x-intercepts of the function f(x)=�! + 3�! − 4? (2)
17. What is the y- intercept of the function f(x)=�! + 3�! − 4? (1)
18. Describe the end behavior of the function y=−2 !
!
!
. (1)
19. State the base of the following logarithmic function: y=3.2+ln �. (1)
Part 2. Long answer (30 marks)
For any marks, SHOW YOUR WORK ! (TVM solver(s), formula used,
steps, reasons, buttons used etc.)
1. Two years ago, Sandy received an unexpected bonus of $5000. She put it in savings
account that gave her 2.3% compounded monthly. Now she wants to move her money
into an investment portfolio that promises a 4.1% average rate of return annually.
a) How much money will Sandy have 5 years from now? (4)
b) What is the total interest earned? (1)
2. Mark wants to lease a car currently priced at $65,000. The lease agreement includes
the following :
– monthly payments based on an interest rate of 3.5%, compounded monthly;
– 4-years lease term;
– a residual rate of 40%;
– a down payment of $2000.
a) What is the residual value of this car after 4 years? (1)
b) Calculate Mark’s monthly lease payment. (4)
c) How much money is Mark paying for this lease over the 4 years term? (1)
3. A total of 83 teens attended a performing arts camp to train in at least one of three
activities: dance, acting, or singing.
• 47 took dance, 42 took acting, and 54 took singing.
• 3 took dance and acting only.
• 16 took acting and singing.
• 11 took singing only.
Draw a complete Venn diagram for the givens above. (5)
4. One unfair coins is flipped three times. The coin favours getting TAILS with a
probability of 0.55. Calculate the probability (as a decimal, to the nearest thousandth)
of getting:
a) exactly one tails; (2)
b) at least one tails. (2)
5. The table below shows the world population in the 20th century:
a) Create a scatter plot for the given data. What kind of function could model this
data? (1)
b) Use the function type chosen in part a) and find the regression equation for this
data. (1)
c) According to this model, in what year the population reached 1 billion people (
1billion=1000 millions) ? (2)
d) Find an estimate for the world population in 2030. (1)
6. During a running race, the participants often drink sports liquids offered by organizers
in paper cones like the one shown below. It is estimated that for a 5 km race, each
participant will drink 2 cups of sport drinks.
Try it now!
How it works?
Follow these simple steps to get your paper done
Place your order
Fill in the order form and provide all details of your assignment.
Proceed with the payment
Choose the payment system that suits you most.
Receive the final file
Once your paper is ready, we will email it to you.
Our Services
Ace Writing Center has stood as the world’s leading custom essay writing services providers. Once you enter all the details in the order form under the place order button, the rest is up to us.
Essays
At Ace Writing Center, Nowadays, students normally have extremely busy schedules. You will note that some of them have to take on some evening or weekend jobs in order to get some income that can help them to sustain in college or in the university. This can deny them a chance to write all the essays given. Others usually get bombarded with a lot of work by their lecturers. This can still delay such students from working on all their essays. However, some of them usually try to work on all these essays but end up delivering their work late. This can prevent them from graduating since most lecturers are strict on deadlines. If you want to write a business essay, the wise way is to hire an outstanding essay writing service like us, so that you can get the best results. If you are keen, you will note that many companies usually overcharge their customers. Some of them are there only to make money. And in reality, they really don’t care to build a long term commitment with students. You should not choose such companies. You should take your time and choose a reliable company to work with. Ace Writing Center is the ultimate solution for you. We have been offering our writing service for more than 7 years. This is a clear indication that you will get quality essay writing service. We have a wide range of writers who can work on any business essay that you might have. We believe in doing extensive research so that we can provide quality work to all our clients. .
Admissions
Admission and Business Papers
Have you ever had to write an admission essay for college? The majority of students face the same issues when applying to a university or college and many in such situations decide they need professional help to cope with this matter. They get in a situation when the deadline keeps coming closer but lack motivation to start because they are just not sure if their writing skills are strong enough. We have a solution for you! Ace Writing Center is the best admission essay writing service with a large professional team and years of experience in providing high-quality papers to students of all levels and faculties. The mission of our team is to help students make their dreams of entering a good college come true and that’s what we offer!.
Editing
Editing and Proofreading
Sometimes all the words for your paper just flow out of your mind and into your fingers. You type quickly at your keyboard and there they are, your beautiful words right there on the screen. But you have no idea how to polish it up. You may be wishing there was a paper writing service that offered this type of writing service. Look no more! Here at Ace Writing Center, we offer you an editing and proofreading option that you can't find anywhere else..
Coursework
College Essay Writing
In case you are familiar Ace Writing Center, you know the way to distinguish a better company from a cheap one exactly. First of all, poor service website does not have a sufficient support. We think support team is an essential part of success; it has to answer all clients’ questions and be a connecting link between clients and their writers. On our web-service you will get answers about anything you need and your writer will receive all your instructions, assignments and requirements exactly and swiftly. A writing service that we run has got a flexible pricing system that will save you from senseless wastes and many bonus systems that let you sparing money for something important for you.
