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100
Find the zeros of the function y = x^2+3x-18
(-6,0) and (3,0)
100
What is the domain and range of the function y = 6x^2 -2
D: (-infinity, +infinity) R: [-2, +infinity)
100
The data for the cost for a television maker are given as follows: (16,25), (22,37), (35,42), (48,56), (53,67), (70,82), (100,75), (150,64). Note: x-values are output in hundreds of televisions. Y-values are the total cost in thousands of dollars. A. Determine the best fitting quadratic function. B. What is the cost for producing 4,000 televisions?
A. -0.007658x^2 + 1.54769x + 3.011 B. $52,664.56
100
$1100 is entered into an account compounded continuously with a rate of 3.4%. How long will it take for the money to double?
20.4 years
100
SpongeBob is standing on top of his pineapple house. He throws Patrick downward with a velocity of 30 ft/sec from his house, 50 feet high. When will Patrick hit the ground?
1.06 seconds
200
Jimmy Neutron emptied his piggy bank today and found $22.58. If he invests this money into an account that is compounded monthly with a rate of 4.2%, how much money will he have after 3 years?
$25.61
200
A population of meerkats increases from 5 to 12 in 11 months, when will there be 22 meerkats?
18.6 months
200
Sally takes out a loan for $120,000. If her bank offers her a 20 year loan compounded monthly with a rate of 2.7%, what will her monthly payments be?
$647.64
200
Susie throws a ball with a velocity of 55 feet per second standing on a tower 40 feet tall. How high is the ball after 2 seconds?
86 feet
200
An exponential model has the following points: (0,5), (1,7), (2,10), (3,15), (4,23). Find the exponential model that best fits the data. When x is 5, what is y?
y = 4.846 (1.46437)^x When x is 5, y is 32.61
300
How many cubic yards are in 2 cubic meters?
13.805 cubic yards
300
Find the equation of the line that passes through the two points (0,4) and (-2,1)
y = 1.5x+4
300
If the Kool-Aid man drops his glass from a 100 foot tall building, when will the glass hit the ground?
2.5 seconds
300
Walmart had amazing Black Friday deals! If Joe Bob got a new pair of shoes for $10 after it was on sale for 70%, how much did the shoes originally cost?
$33.33
300
The data for the cost of a shoe chain are given as follows. (16,4.8), (22,5.9), (35,7), (48,9), (53,10), (70,12), (100,18), (150,30) where the x values are the output in hundreds of pairs of shoes and the y-values are the total cost in thousands of dollars A. What is the cost for producing 9000 pairs of shoes? B. How many shoes can be produced for $25,000?
B. $14,845.96 C. 12,905 shoes
400
The cost of carpeting a living room that cost $15 per square foot was $900. What are the dimensions of the room if the length exceeded the width by 6 feet?
w = 5.3 feet. l = 11.6 feet
400
From the ground, Santa throws one of his elves with a velocity of 10 mph. When will his elf hit the ground?
0.92 seconds
400
A population of gerbils grows from 112 to 347 in 5 months. Write an equation giving the population for any month.
P(t) = 112 (1.25378)^t
400
The data for the cost for a table maker are given as follows: (16,135), (22,97), (37,79), (48,62), (56,76), (62,82), (70,105), (75,124). Quadratic Regression. Note: x-values are output in hundreds of tables. y-values are the total cost in thousands of dollars. A. What is the total cost for producing 3500 tables? B. How many tables can be made for a total cost of $100,000?
A. $74,880.54 B. 6829 or 2410 tables
400
Convert 23 meters to inches.
905.51 inches
500
John takes out a loan for his $67,000 boat. His bank offers him a 15-year loan compounded quarterly with a rate of 6.4%. What are his periodic payments? After 15 years, how much did he actually spend on his boat?
$1745.40 (4 times a year) $104724.00
500
If Dr. House has 60 ft of fencing material to enclose a garden using his hospital as one side, what is the maximum area Dr. House can enclose?
450 square feet
500
Cyber Monday is practically a holiday for the Jones family. If they spent a total of $300 on items and received a 40% discount, how much did they pay after the discount?
$180
500
If I invest $300 into an account compounded continuously with a rate of 3.6% for 4 years, how much will I end with?
$346.47
500
Given f(2) = 9 and f(3) = 4, find the equation of the line.
y = -5x + 19