Basic Math Questions and Answers

3. Many communities today are concerned with their local government's ability to appropriately manage the taxes it collects. If a government spends more money on expenditures than it collects in taxes, it may end up with not enough money, called deficit. Which of the following could result in a county government budget in Deficit? a. The government raises sales and property taxes without adjusting expenditures. b. The county closes a fire station, reducing expenditures, without adjusting taxes. c. The county gives all public-school teachers a $2,000 raise without adjusting taxes. d. The count collects donations to build a fountain in city hall.

An object is thrown upward from the top of a 144-foot building with an initial velocity of 128 feet per second. The height h of the object after t seconds is given by the quadratic equation h = - 16t² + 128t+144. When will the object hit the ground? The object will hit the ground when the time is seconds.

Advice from most financial advisers states to spend no more than 28% of one's gross monthly income for one's mortgage payment, and to spend no more than 36% of one's gross monthly income for one's total monthly debt. Suppose a family has a gross annual income of $39,600. a. What is the maximum amount the family should spend each month on a mortgage payment? b. What is the maximum amount the family should spend each month for total credit obligations? c. If the family's monthly mortgage payment is 70% of the maximum they can afford, what is the maximum amount they should spend each month for all other debt? a. The maximum monthly mortgage payment should be $ .....

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 5 inches, and the length of the base is 2 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.

The costs of general admission and student tickets to a high school football game are $7 and $4 respectively. The ticket sales for one game totaled $11,200. Write an equation which models the situation.

A baseball is dropped from a stadium seat that is 79 feet above the ground. Its height s in feet after t seconds is given by s(t)=79-22t2. Estimate to the nearest tenth of a second how long it takes for the baseball to strike the ground.

If a person shoots a basketball overhand from a position 8 feet above the floor, then the path of the basketball through the hoop can be modeled by the parabola y=- ball in ft/sec, y is the height of the ball and x is the distance away from the person. (a) If the basketball hoop is 10 ft high and located 15 ft away, what initial velocity v should the basketball have? (b) What is the maximum height of the basketball? (a) The initial velocity of the basketball should be approximately 23.32 ft per sec. (Round to the nearest hundredth.) (b) The maximum height of the basketball is approximately ft. (Round to the nearest hundredth.) -16x² 0.434v² ..... +1.15x+8, where v is the initial velocity of the

In 2012, the population of a city was 6.55 million. The exponential growth rate was 1.94% per year. a) Find the exponential growth function. b) Estimate the population of the city in 2018. c) When will the population of the city be 10 million? d) Find the doubling time.

A farmer has 400 feet of fence to enclose a rectangular area. What dimensions for the rectangle result in the maximum area enclosed by the fence? The rectangle with the maximum area enclosed by the fence has a length of ft and a width of ft.

900 11.29fd18son side rool box dam has 9. You are playing a board game with a spinner that has numbers 1, 2, 3, and 4 on it. You get to spin the spinner twice. What is the probability that you land on number 2 given that your first spin landed on number 1?

Classify the quotient as positive, negative, zero, or undefined. 5+5 Select the correct choice below. A. The quotient is zero. B. The quotient is undefined. C. The quotient is positive.. D. The quotient is negative.

What value of n makes this proportion true? 2n=1 = 1 10 O 1/2 03 06 O 2/3

The probability is (Type an integer or a simplified fraction.) HW Score: 75%, 6 of 8 points O Points: 0 of 1 A "trifecta" is a particular horse race in which you win by picking the "win," "place," and "show" horses (the first-, second-, and third-place winners), in their proper order. If five horses of equal ability are entered in a trifecta race, and Tracy selects an entry, what is the probability that she will be a winner?

A car manufacturer announced that next year the price of a certain model car would increase by 3.5%. This year the price is $17,015. Find the increase and the new price.

Find the real and complex zeros of the function f(x) = x³ - 14x² + 3x - 42 Express your answer as a list separated by commas. Do not use a Provide your answer below: sign in your answer; instead, list the zeros separately.

Find the principal root of this equation: tan(z) - 1 = 0 X= . Give your answer in radians. • Do not use decimal approximation. Use 'pi' to represent .

3. An open box of maximum volume is to be made from a square piece of material, 9 inches on a side by cutting equal squares form the corners and turning up the sides. Find the dimensions of the squares. Find the maximum Volume.

Use the point-slope form of a linear equation to write the equation of the line in slope-intercept form. m=- 2/3 through (7,3) Enter the correct expression in the box to complete the linear equation.

g(x)=x-2 h(x)=4x-2 Find (g- h)(x) A) 4x² - 10x+4 B) 12x³-9x² + 4x-3 C) 2x³-5x² +8x-20 D) 2x² - 13x+15

During a game of marbles, a player is trying to win a 2 g marble that is at rest. The player flicks a 1.25 g marble at a velocity of 8 at the larger marble that is sitting still. After the collision, the smaller marble has a velocity of 1 m S What is the velocity of the 2 g marble after the collision? Round your answer to the nearest whole number m

The manager of an 80-unit apartment complex knows from experience that at a rent of $1000 per month, all units will be rented. However, for each increase of $25 in rent, he can expect one unit to be vacated, Let x represent the number of $25 increases over $1000. Complete parts (a) through (e) below. (a) Express, in terms of x, the number of apartments that will be rented if x increases of $25 are made. (For example, with three such increases, the number of apartments rented will be 80-3=77.) The number of apartments that will be rented if x increases of $25 are made is

If you throw a stone up in the air off a bridge that is 20 feet above a creek, the path of the stone can be modeled using the equation h = -16t² +50t + 20, where h is the height of the stone and t is the time in seconds. How long will it take the stone to reach the water below?

Write a quadratic equation with integer coefficients having the given numbers as solutions. -√29, √29

The function f(x) = 5x+7/X + 5 is one to one (a) Find its inverse and check your answer. (b) Find the domain and the range of f and f

The number of seconds, t it takes for an object to fall a distance of d feet can be found using the formula t = √2d/g, where g is the constant acceleration due to gravity, 32-ft/sec². How many feet does an object fall in 2 seconds?

You start driving west for 3 miles, turn right, and drive north for another 2 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.

Each person has a 2.5 x 10-7 chance of winning one lottery game. Another lottery game gives you a 5 times better chance of winning. What are your chances of winning the second lottery game? (Hint: Write 5 in scientific notation)

Find the principal root of this equation: √3 tan(x) = -1 X = Give your answer in radians. Do not use decimal approximation. Use 'pi' to represent .

A ratio is... where two or more values are compared in lowest terms. when two numbers are written as a division problem. where two numbers are written as a fraction in lowest terms. all of these.

For the function on the right, determine whether the function is one-to-one. 30 Hours 35 Hours 45 Hours 75 Hours Is the function one-to-one?

Your digital camera has a 512 megabyte memory card. You take pictures at two resolutions, a low resolution requiring 4 megabytes of memory per photo and a high resolution requiring 8 megabytes of memory per photo. Write an equation to model the amount of each kind of photo you can take.

Simplify √24 to the form a√b. a = b =

Which have a 1:3:4 ratio? 2:6:8 6:18:20 3.5:10.5:14 1.5:3.5:4.5

A farmer has 520 feet of fence to enclose a rectangular area. What dimensions for the rectangle result in the maximum area enclosed by the fence? The rectangle with the maximum area enclosed by the fence has a length of ft and a width of

For the function below, find a) the critical numbers; b) the open intervals where the function is increasing; and c) the open intervals where it is decreasing. f(x) = x+5/x+2 a) Find the critical number(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no critical numbers.

From the window of an airplane, you can see a farmhouse directly below. If the plane is traveling at an altitude of 3 miles, how far from the farmhouse will the airplane be after it has traveled 4 miles at the same altitude?

Graph the circle given below by moving the key point: (x + 1)² + (y+3)² = 16 To graph the circle, drag the center point to the desired location, and then drag the radius point until the radius is the desired number of units.

Sketch the graph of the rational function below. Include any vertical asymptotes and describe the end behavior of the rational function. r(x) =x²+3x-4/(x-2)²(x+4)(x - 1)

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75 +0.10z, where z is the number of years since 1980. Which part of the expression corresponds to the cost of movie tickets in 1980? A.2.75 + 0.10 B 2.75 C.10 D. 0.102

A car is 180 inches long. A truck is 75% longer than the car. How long is the truck? 135 inches 240 inches 255 inches 315 inches

Under which angle conditions could a triangle exist? Check all that apply. 3 acute angles 2 acute angles, 1 right angle 1 acute angle, 1 right angle, 1 obtuse angle 1 acute angle, 2 obtuse angles 2 acute angles, 1 obtuse angle

What is the author's purpose in writing this paragraph? to persuade the reader that the Grimm brothers were influential to entertain the reader with excerpts from thenGrimms' tales to inform the reader that the text will take a secondnlook at the Grimms' original tales to show the reader that the Grimms have receivedbmany honors

Suppose you saw a sign at your local bank that said, "7.4% rate compounded semiannually - 7.9% Annual Percentage Yield (APY)." Is there anything wrong with the sign? Explain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Yes. The number of compounding periods is incorrect. Interest should be compounded daily. B. Yes. The APY is incorrect. The correct APY is (Round to the nearest hundredth as needed.) C. No. The information on the sign is correct.

A file that is 251 megabytes is being downloaded. If the download is 17.3% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.

A population numbers 10,000 organisms initially and grows by 11.3% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a bt where

A population numbers 19,000 organisms initially and decreases by 3.2% each year. Suppose P represents population, and t the number of years of growth. An exponential model for the population can be written in the form P = a b where

The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 287 people entered the park, and the admission fees collected totaled $7465. How many children and how many adults were admitted?

Graph the exponential function. f(x) = 2*

7. At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, m, is $8 more than 3 times the price of the novel, n, which system of linear equations could he used to determine the price of each book?

A family went to a baseball game. They parked the car in a parking lot which charged $5. The cost per ticket was $20. Write an equation for the total cost of going to the baseball game, where y is the total cost and x is the total number of people. If the family spent $145, how many people went to the game?