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Quadratic Relations
Exponential Relations
Personal Finance
Trigonometry
Probability & Mean, Median and Mode
100
Find the equation of the quadratic function f whose maximum value is -3, its graph has an axis of symmetry given by the equation x = 2 and f(0) = -9.
f(x) = -3/2(x - 2)2 - 3
100
Which of the following is not an exponential functions? f(x) = 3e-2 x g(x) = 2x/2 h(x) = x3/2 g(x) = 15 / 7x
h(x) = x3/2
100
You invested $500 and received $650 after three years. What had been the interest rate?
10%
100
How many sides does a square have?
4
100
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What is the probability that the ticket drawn has a number which is a multiple of 3 or 5?
9/20
200
Find the equation of the quadratic function f whose graph increases over the interval (- infinity , -2) and decreases over the interval (-2 , + infinity), f(0) = 23 and f(1) = 8.
f(x) = -3(x + 2)2 + 35
200
The last nuclear test explosion was carried out by the French on an island in the south Pacific in 1996. Immediately after the explosion, the level of strontium-90 on the island was 100 times the level considered to be "safe" for human habitation. If the half-life of Strontium-90 is 28 years, how long will it take for the island to once again be habitable?
The island will be safe in about 186 years, that is, in the year 2182
200
Tom works 36 hours at $11.25 per hour. He pays $57.53 in tax and $36 in superannuation. Determine his net pay?
$311.47
200
Determine whether the following sides will form a right triangle: 24 in, 32 in, 40 in
Yes; 24^2 + 32^2 = 40^2
200
A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
10/21
300
Find the vertex of the graph of f(x) = -(x + 4)2 + 4x - 2
vertex at (-2 , -14)
300
The population of bacteria in a culture is growing exponentially. At 12:00 there were 80 bacteria present and by 4:00 PM there were 500 bacteria. Find an exponential function f(t) = ke at that models this growth, and use it to predict the size of the population at 8:00 PM.
The exponential function is f(t) = 80 e.4581 t. There will be 3,125 bacteria at 8:00 PM
300
A carpenter is paid $47 to restore old toy boxes. If on three consecutive days he restores 7,9 and 3 boxes. Calculate how much the carpenter will be payed.
$893
300
What is the value of sin 30?
0.5
300
For boys, the average number of absences in the first grade is 15 with a standard deviation of 7; for girls, the average number of absences is 10 with a standard deviation of 6. In a nationwide survey, suppose 100 boys and 50 girls are sampled. What is the probability that the male sample will have at most three more days of absences than the female sample?
0.035
400
Find the equation of the quadratic function f whose minimum value is 2, its graph has an axis of symmetry given by the equation x = -3 and f(2) = 1.
It does not exist since f(2) = 1 is smaller than the minimum value 2.
400
LuAnn has $500 in hersavings account. The Royal Bank pays 7% interest compounded monthly. How much money would LuAnn have in the account if she left it untouched for ten years?
$1004.43.
400
If there is a 35% discount on a bed giving price of $1090, determine the retail price.
$1676.92
400
An airplane is flying at a height of 2 miles above the ground. The distance along the ground from the airplane to the airport is 5 miles. What is the angle of depression from the airplane to the airport?
21.8�
400
Suppose the mean on the final exam is 24 (of 40), with a standard deviation of 1.5. If you get a 21, how well do you do (relative to the rest of the class)?
only 2 1/4% did worse
500
Find the maximum or minimum value of f(x) = 2x2 + 3x - 5
f has a minimum value equal to -49/8
500
Three years ago, Rudi thought that he was making a sound investment by buying $1000 worth of Pro Sports Management stock. Unfortunately, his investment depreciated steadily, losing 15% of its value each year. How much is the stock worth now?
$550
500
Bob is looking to invest $2000 to save money for college. He's considering the following options: a) a GIC paying an annual interest of 4.2% compounded quarterly b) A RESP paying an annual interest of 1.8% compounded annually, plus 20% up to $400 of the investment contributed by the government c) a mutual fund that has averaged 9.8% annual growth d) a stock fund that has averaged 14.7 % annual growth Which option is best, and why?
F Rizzio Eliminate c and d because both are "risky" investments that are not suited for saving for college. If you graph a and b, option a is the better investment if the savings will be invested for over 6.8 years. Otherwise, option b is the better choice if you can only invest for less than 6.8 years.
500
A bird sits on top of a lamppost. The angle of depression from the bird to the feet of an observer standing away from the lamppost is 35. The lamppost is 14ft tall. How far away is the observer from the bird?
24.4 feet
500
What is the probability of getting a sum 9 from two throws of a dice?
1/9