Math Questions

A store pays $39.27 for a quilt. The store marks up the price by 26%. What is the new price? Round your answer to the nearest cent: $

Identify the zeros and y-intercept for the following function graphed below. a. zeros: (0, -3), (0, 5); y-intercept: (90, 0) b. zeros: (-3, 0), (5, 0); y-intercept: (0, 90) c. zeros: (5, 0); y-intercept: (0, 90) d. zeros: (0, 90); y-intercept: (5, 0)

The time is takes to build a skyscraper is proportional to its height and inversely proportional to the number of construction workers. If it takes 10 workers 2.5 years to build a 20 story building, how long will it take 70 workers to build a 80 story building? It will take years

On the planet Golgafrincham there are two systems for measuring temperature. Using the Celia scale, water freezes at 0° C and boils at 50° C. Using the Furryhat scale, water freezes at 10° F and boils at 110° F. Both systems divide the temperatures in between into equal increments. Let x be the temperature in degrees Celia and y be the temperature in degrees Furryhat. a. Find a formula which converts temperatures measured in Celia into Furryhat. y(x) = b. Find a formula which does the inverse. c. What temperature is the same in both Celia and Furryhat?

From recent survey data, its known that the proportion of adults in the United States who are smokers is 18%. For a random sample of size 150, what is the standard deviation for the sampling distribution of the sample proportions, rounded to three decimal places?

Given that the point (160, -36) is on the terminal side of an angle, θ, find the exact value of the following: sin(θ)= cos(θ)= tan(θ)= csc (θ)= sec (θ)= cot (θ)=

A student has student loans of $96,000. He would like to pay it back in 10 years. (10 points) a) Calculate the monthly payments if his loan has a fixed APR of 8%. b) What is the total amount that the student paid for his college education (principal and interest)?

The average cost of a 4-year college education is projected to be $130,000 in 20 years. How much money should be invested now at 8% compounded quarterly to provide $130,000 in 20 years?

Without using a calculator, compute the sine and cosine 5π/3 of by using the reference angle. What is the reference angle? In what quadrant is the original angle?

Identify any other values of x (other than those corresponding to vertical asymptotes) for which the function is discontinuous f(x)= (2x-2) / (x2+2x-3) is discontinuous at x =

A student has student loans of $96,000. He would like to pay it back in 10 years. a) Calculate the monthly payments if his loan has a fixed APR of 8%.

For each sum or product, determine whether the result is a rational number or an irrational number. Then choose the appropriate reason for each. Result is Rational Result is irrrational reason (a) 2/11 + 17/19 (b) 16+√13 (c) 20 + 8/9 (d) √2+38

If y=ex is reflected about the x-axis, what is the formula for the resulting function? y = help (formulas)

Suppose that $10,000 is invested at an APR of 6% for 4 years. a) Determine the accumulated balance assuming that interest is compounded annually. b) Determine the accumulated balance assuming that interest is compounded monthly. c) Determine the accumulated balance assuming that interest is compounded continuously.

Patricia receives a gross pay of $1,850 bi-weekly from his employer. If his employer changed his pay period to monthly instead of bi-weekly, calculate the monthly payment that he would receive. Round to two decimal places

Alexander, a sales representative at a jewelry store, receives a 1.50% commission for the first $12,000 in sales he makes, 3.50% for the next $25,000, and 6.50% thereafter. If he was paid $2,000.00 in commissions last month, calculate the amount of sales he made.

Express the following equations in logarithmic form: (a) 5^4 = 625 is equivalent to the logarithmic equation: (b) 10^ 3 =0.001 is equivalent to the logarithmic equation:

A school superintendent purchase a new car for $26,788. A. If the sales tax is 7.75%, find the amount of sales tax. The sales tax is B.The superintendent makes a $3000 down payment and the license fee is $145. Find the amount the superintendent must finance. The amount financed is C. Assuming the superintendent gets the loan for the amount in part B at an annual interest rate of 8.1% for 5 years, determine the superintendent's monthly car payment. The monthly payment is

A random number generator picks a number from 13 to 38 in a uniform manner. Round answers to 4 decimal places when possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the number will be exactly 24 is P(x = 24) = d. The probability that the number will be between 22 and 29 is P(22 < x < 29) = e. The probability that the number will be larger than 28 is P(x> 28) = f. P(x> 16 | x < 32) = g. Find the 22nd percentile. h. Find the minimum for the upper quartile.

Select the different types of transformations you can have with a function: Select one or more: a. Reflection about y axis b. Reflection about origin c. Reflection about x axis d. Horizontal Shifts e. Bolding f. Restriction g. Reflection about line y=x h. Shading i. Stretching j, Vertical Shifts k. Compression

If you drive 23 miles south, make a turn and drive 39 miles east, how far are you, in a straight line, from your starting point? Round your answer to the nearest tenth of a mile. If a 12-foot ladder is leaned against the top of a 10-foot high wall, how far will the base of the ladder be from the bottom of the wall? Round your answer to the nearest tenth of a foot.

Cabinet X costs $60, requires 12 sq ft of floor space, and holds 24 cu ft of files. Cabinet Y costs $50, requires 6 sq ft of floor space, and holds 24 cu ft. To get maximum storage, how many of each should be purchased with a budget limit of $600 and floor space of 96 sq ft?

The time that it takes for the next train to come follows a Uniform distribution with f(x) =1/30 where x goes between 4 and 34 minutes. Round answers to 4 decimal places when possible. a. This is a Select an answer distribution. b. It is a Select an answer distribution. c. The mean of this distribution is 19 d. The standard deviation is e. Find the probability that the time will be at most 8 minutes. f. Find the probability that the time will be between 14 and 24 minutes. g. Find the 32nd percentile. h. Find the probability that the time is more than 28 minutes given (or knowing that) it is at least 8 minutes.

Fill in the missing words for the following statement about functions: A function is a relationship between two sets of data, the input and output sets. and the set of outputs is called the___The set of inputs is called the___

Which of the following is true about the graph of f(x) = 6x³ - 12x² + 6x - 7? a) f(x) has a local minimum at the point (1/3 , -55/9) b) f(x) is decreasing on the interval (1/3, 1). c) f(x) has a local maximum at the point (1, -7). d) f(x) is increasing on the interval(2/3 ,infinity) e) f(x) has a point of inflection at the point (1, -7).

A regular octagon is inscribed inside a circle. The perimeter of the octagon is 96 units. A: What is the measure of a side of the octagon? B: What is the measure of a central angle of the octagon? C: What is the approximate measure of the apothem of the octagon (to the nearest hundredth of a unit)? D: Using your answer to part C, what is the approximate area of the octagon (to the nearest whole unit²)? B: 60* D: 120 units² C: 2.49 units B: 30* B: 45* C: 14.49 units D: 696 units² A: 12 units C: 5.54 units D: 753 units² D: 266 units² A: 16 units C: 15.69 units A: 6 units

For a given input value x, the function h outputs a value y to satisfy the following equation. 6x + y = 4x + 11y Write a formula for h(x) in terms of x. h(x) =

Christine is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Company A charges an initial fee of $77.50 and an additional 30 cents for every mile driven. Company B charges an initial fee of $45 and an additional 80 cents for every mile driven. For what mileages will Company A charge no more than Company B? Write your answer as an inequality, using m for the number of miles driven.

Identify the Domain and Range for the following set of coordinates: (-4,2), (3,-5), (4,-2), (9,-7) Select one: a. D = {4, -3, -4, -9} and R = (-2, 5, 2, 7}. b. D = (-2, 5, 2, 7) and R = {4, -3, -4, -9}. c. D = {2, -5, -2, -7} and R = {-4, 3, 4, 9}. d. D={-4, 3, 4, 9) and R = {2, -5, -2, -7}.

Fill in the blanks to correctly complete the sentence below. Suppose a simple random sample of size n is drawn from a large population with mean μ and standard deviation σ. The sampling distribution of x has mean µx= and standard deviation σx=

Identify the transformation equation below for the following function: f(x) = x²→ shifted 2 units right & up 2 units Select one: a. f(x) = (x + 2)² + 2 b. f(x) = (x - 2)² + 2 c. f(x) = (2x)² - 2 d. f(x) = 2(x)² +2

If two six-sided dice are rolled, then the sum of the dice is an example of a continuous random variable. true false

Simplify the following rational expression by subtracting, then identify the simplified form below. 6/x2-1 - 3/x+1 Select one: a. x²+1 / (x-3)(x+3) b. 3x²/ (x-1)(x+1) c. x-3 / (x²-1)(x²+1) d. -3x+9 / (x-1)(x+1)

The population P(t) of a culture of the bacterium Pseudomonas aeruginosa is given by P(t)=-1687t2 +83,000t+10,000, where it is the time in hours since the culture was started. (a) Determine the time at which the population is at a maximum. Round to the nearest hour.

List the roots of the parabola: y = -x² + 20x - 7 In other words, list the solutions of the equation: 0= -x² + 20x - 7 x= Your answers must be in exact form, do not give their decimal values. Separate multiple roots with a comma.

This polynomial is not factorable, so you need to use the complete the square method. Solve the equation for x. x² + 2x - 12 = 0

A ball is drawn randomly from a jar that contains 3 red balls, 7 white balls, and 4 yellow balls. Find the probability of the given event, and please show your answers as reduced fractions. (a) A red ball is drawn. P(red). (b) A white ball is drawn. P(white) (c) A yellow ball or red ball is drawn. P(yellow or red)

A poll showed that 59.9% of Americans say they believe that life exists elsewhere in the galaxy. What is the probability of randomly selecting someone who does not believe that life exists elsewhere in the galaxy. Probability=

An exponential function f(x) = ab^x passes through the points (0, 4000) and (3, 108). What are the values of a and b? a = b=

A limited-edition poster increases in value each year with an initial value of $18. After 1 year and an increase of 15% per year, the poster is worth $20.70. Which equation can be used to find the value, y, after x years? (Round money values to the nearest penny.) y = 18(1.15)^x y = 18(0.15)^x y = 20.7(1.15)^x y = 20.7(0.15)^x

Write an expression that represents the total cost of making roughly 16 coffees at home and occasionally going to Starbucks (use x to represent the number of mochas). What does each part of your expression represent? Don't forget to define your variable.

Plot the point (0.5, -2.5) in a rectangular coordinate system. Indicate in which quadrant the point lies. Plot the point (0.5, -2.5) on the graph to the right.

Mr. Parker had $86 to buy school supplies for his class. He bought 32 boxes of pencils and 32 packages of notebook paper. Each package of paper cost $1.09, and each box of pencils cost $0.75. How much money did Mr. Parker have left?

f(x)=√(x-4) Plot four points on the graph of the function: the leftmost point and three additional points. Then click on the graph-a-function button.

Greg is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A has no initial fee but charges 70 cents for every mile driven. Company B charges an initial fee of $55 and an additional 20 cents for every mile driven. For what mileages will Company A charge more than Company B? Use m for the number of miles driven, and solve your inequality for m.

A special deck of cards has 5 blue cards, and 3 yellow cards. The blue cards are numbered 1, 2, 3, 4 and 5. The yellow cards are numbered 1, 2, and 3. The cards are well shuffled and you randomly draw one card. A card drawn is yellow B = card drawn is even-numbered a) How many elements are there in the sample space? b) P(A) = Please enter a reduced fraction c) P(B) = Please enter a reduced fraction

Bloomington is a growing industrial town. Every year, the level of CO₂ emissions from the town increases by 6%. If the town produced 186,000 metric tons of CO₂ this year, how much will be produced 5 years in the future? If necessary, round your answer to the nearest whole number.

For a given input value n, the function g outputs a value m to satisfy the following equation. 3m - 5n = 11 Write a formula for g(n) in terms of n. g(n) =

The rabbit population in a forest area grows at the rate of 9% monthly. If there are 160 rabbits in July, find how many rabbits (rounded to the nearest whole number) should be expected by next July. Use y-160(2.7)^0.09t 481 455 468 467

In the spring of 2008, petrol cost £1.029 per litre in London. On the same day, the exchange rate was $1 = £0.498. What was the price of London petrol in dollars ($) per gallon? (1 gal = 3.7854 L) $1.83 /gal $7.82 /gal $3.90 /gal $7.60 /gal $1.94 /gal