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Consider the following data set:
5, 10, 24, 79, 103
If you were told to determine the mean which formula is most appropriate to use? What other formula could you use, although it is less desirable? What would you have to keep in mind if you used this second formula?
1. Determine whether the lines given by the equations below are parallel, perpendicular, or neither. Also, find a rigorous algebraic solution for each problem.
a. b. c. [Suggestion: go to www.desmos.com/calculator, write the two equations and try to conclude the answer.]
2. A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, is given by . What is the height of the building? What is the maximum height reached by the ball? How long does it take to reach maximum height? Also, find a rigorous algebraic solution for the problem.[Suggestion: go to www.desmos.com/calculator and write
and observe the answers.]
3. A farmer finds that if she plants 75 trees per acre, each tree will yield 20 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest? Also, find a rigorous algebraic solution for the problem.
1-CREATE a real-life future value OR present value scenario that you are likely to PERSONALLY encounter in the future 2-where can we see future value and present value in real life.
May Sum has saved $125 000 in an investment account. She will use it to buy an annuity that pays 6.5%/a compounded quarterly. She will receive quarterly payments for the next 25 years. The first payment will be made 3 months from now.
a) What is the quarterly payment she will receive?
b) What is the interest earned over the duration of the annuity?
Yanmei has contributed $250 to an RRSP at the end of each 3-month period for the past 35 years. During this time, the RRSP has earned an average of 11.5%/a compounded quarterly.
a) How much will the RRSP be worth at maturity?
b) How much of the investment will be interest earned over the 35 years?
what is 2+2=
Hall had a summer job that paid $9 an hour and he worked at most 27 hours every week. If x is the hours he worked in a week and y is the money he made in a week, write the domain and range of the function as compound inequalities what is the domain and the range?
If your front lawn is 16.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1050 new snowflakes every minute, how much snow, in kilograms, accumulates on your lawn per hour? Assume an average snowflake has a mass of 1.80 mg.
f is a linear function, f (x) = mx + c. a. Find f (x) if it is equal to its inverse: f ‐ ¹ (x) = f (x). b. Find f (x), if f (f (x)) = f (x)
This problem has got two solutions.
using visuals/examples if necessary to support your explanation, answer the following:
a) What is the major difference between simple interest and compound interest?
b) Why does an investment that earns compound interest grow at a faster rate than an investment that earns simple interest?
