Basic Math Questions and Answers

Indicate whether the equation has no solution or is true for all real numbers. If neither is the case, solve for the variable. 10x 2(3 + 5x) = -6 A) 3/5 B) {xlx is a real number} C) 5/3 D) Ø

You want to buy a $209,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan at 5.85% interest for the rest. a) What is the amount of the down payment? b) What will the amount of the mortgage? c) The bank charges 2.5 points on the loan. What is the amount charged for points?

You can afford a $1050 per month mortgage payment. You've found a 30 year loan at 6% interest. a) How big of a loan can you afford? $ b) How much total money will you pay the loan company? c) How much of that money is interest? SA

Think About the Process A restaurant customer left $2.20 as a tip. The tax was 7% and the tip was 20% of the after tax cost. Which information is not needed to compute the bill after tax and tip? What was the total bill? Which information is not needed to solve this problem? OA. The customer left $2.20 as a tip. B. The customer left a 20% tip. C. The tax was 7%. OD. All of this information is needed to solve the problem. The total bill is $

Which of the following is not a function for all values of x? f(x) = x³ f(x) = (-x)^1/2 f(x) = (-x)^1/3 f(x) = |-x|^1/2 f(x) = |-x|^1/3

Translate the sentence into an inequality. The sum of a number times 8 and 29 is greater than 23. Use the variable x for the unknown number.

2. Determine the smallest angle of rotation for each regular polygon to be mapped onto itself? a. Equilateral Triangle b. Square c. Regular Pentagon d. Regular Hexagon e. Regular Octagon f. Regular Nonagon g. Regular Decagon h. Regular Dodecagon

Michael participates in several motocross races. He has won 8 more silver medals than gold medals. The number of bronze medals he has won is half that of the silver medals. If he has won 27 medals in total, how many of each type of medal has he won?

Camden accepted a new job at a company with a contract guaranteeing annual raises. Camden's salary after working for n years can be determined using the equation S = 2000n + 55000. What is the slope of the equation and what is its interpretation in the context of the problem? The slope of the function is which represents

Find the compound amount and the amount of interest earned by the deposit below. $8,000 at 6.56% compounded continuously for 4 years. What is the compound amount? $ (Do not round until the final answer. Then round to the nearest cent.) What is the interest earned? (Do not round until the final answer. Then round to the nearest cent.) ****

A computer user has downloaded 24 songs using an online file-sharing program and wants to create a CD-R with 12-songs to use in his portable CD player. If the order that the songs are placed on the CD-R is not. important to him, how many different CD-Rs could he make from the 24 songs available to him? There are possible CD-R's.

Consider a home mortgage of $150,000 at a fixed APR of 6% for 15 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest.

What is the slope of the line that passes through the points (2, 0) and (1, 0)? Write your answer in simplest form.

A jar contains 32 red marbles numbered 1 to 32 and 32 blue marbles numbered 1 to 32. A marble is drawn at random from the jar. Find the probability of the given event. (Round to 4 decimal places) a) The marble is red. P(red) = b) The marble is odd-numbered. P(odd) = c) The marble is red or odd-numbered. P(red or odd) = d) The marble is blue or even-numbered. P(blue or even) =

Suppose you deposited $400 in a savings account 2 years ago. The simple interest rate is 2.6%. The interest that you earned in those 2 years is $20.80. Which of the following is/are true? r= 2.6% t = 400 p=2 t=400 A. I= 20.80 B. r= 2.6% C.p=2 D. t= 400 Which of the following is/are true? Select all that apply.

An investment is worth $2966 in 1992. By 1996 it has grown to $4894. Let y be the value of the investment in the year x, where x = 0 represents 1992. Write a linear equation that models the value of the investment in the year x. y = 4x+2966 y=482x+ 2966 y = -482x + 2966 y = -482x + 6822

Container A and container B have leaks. Container A has 800 ml of water, and is leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute. How many minutes will it take for the two containers to have the same amount of water?

Color blindness About 8% of males are color-blind. A researcher needs some color-blind subjects for an experiment and begins checking potential subjects. a) On average, how many men should the researcher expect to check to find one who is color- blind? b) What's the probability that she won't find anyone color-blind among the first 4 men she checks? c) What's the probability that the first color-blind man found will be the sixth person checked? d) What's the probability that she finds someone who is color-blind before checking the 10th man?

Solve the equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. 5(4x-4)=23 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is (x|x is a real number). C. The solution set is . (Type an integer or a simplified fraction.)

The population of a country reached 317 million in August 2013. Write that number in scientific notation. 317 million = (Use scientific notation. Use the multiplication symbol in the math palette as needed.)

Helen and Reid are walking to their classes at Cedarburg College. Helen comes from her dorm room, walking at a speed of 4 miles per hour down a straight path. Reid comes from the gymnasium on the other end of campus, moving up the same path at 3 miles per hour. If they start out 3 miles apart, how long will it be before they meet? If necessary, round your answer to the nearest minute.

If possible, use the Law of Syllogism to make a conclusion. If it is not possible to make a conclusion, tell why. If the sum of the digits in a number is 9, then the number is divisible by 9. If a number is divisible by 9, then it is divisible by 3.

Jason is a salesperson who sells computers at an electronics store. He makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from his sales that day. The equation P = 100+ 0.03x represents Jason's total pay on a day on which he sells a dollars worth of computers. What is the y-intercept of the equation and what is its interpretation in the context of the problem? The y-intercept of the function is which represents

Graph one polynomial function g(x) such that all of the following hold: a. g(x) has a zero at x = -1 with multiplicity 2 b. g(x) has a zero at x = 2 with multiplicity 1 c g(x) has a zero at x = 3 with multiplicity 1 d. There are no other zeros except for the ones stated above.

There is a sales tax of $6 on an item that costs $80 before tax. The sales tax on a second item is $11.25. How much does the second item cost before tax? $

Suppose that the population of some state in 2010 was P = 35 million and its annual percentage rate of continuous growth is R = 1.06%. (a) Write the formula f(x) = P e^rx, where r is in decimal notation, that models the population in millions x years after 2010. (b) Estimate the population in 2022. ..... (a) f(x) = (Use integers or decimals for any numbers in the expression.) (b) The population in 2022 will be approximately

Through how many radians will the hour hand on a clock rotate in (a) 14 hr? In (b) 4 hr? (a) In 14 hr, the hour hand on the clock will rotate radians. 7x/3 (Type an exact answer in terms of . Type an integer or a simplified fraction.) (b) In 4 hr, the hour hand on the clock will rotate radians. (Type an exact answer in terms of . Type an integer or a simplified fraction.)

The length of a rectangular deck is 4 times its width. If the deck's perimeter is 20 feet, what is the deck's area?

Mr. Jackson borrowed money from his bank and on his life insurance to start a business. His interest rate on the bank loan was 10%, and his rate on the insurance loan was 16%. If the total amount borrowed was $100,000 and his total yearly interest payment was $12,100, how much did he borrow from the bank?

Suppose the expression a(b)" models the approximate number of customers who applied for a credit card every month since a bank opened, where a is the initial number of customers who applied, b is the rate of Increase in the number of people who applied every month, and n is the number of months since the bank opened. If the expression below models the number of applicants for a credit card, what is the correct interpretation of the second factor? 27 (1.2) A There were 1.2 times as many customers who applied after the 4th month compared to the initial number of customers. B There were 4.8 times as many customers who applied after the 4th month compared to the initial number of customers. C There were 2.07 times as many customers who applied after the 4th month compared to the Initial number of customers. D There were 6.75 times as many customers who applied after the 4th month compared to the initial number of customers.

Laura and Martin obtain a 20-year, $90,000 conventional mortgage at 10.0% on a house selling for $110,000. Their monthly mortgage payment, including principal and nterest, is $869.40. Determine the total amount they will pay for their house. b) How much of the cost will be interest? c) How much of the first payment on the mortgage is applied to the principal?

The maximum heart rate, in beats per minute, that you should achieve during exercise is 220 minus your age, 220-a. Your exercise goal is to improve cardiovascular conditioning. Use the following formulas to answer parts (a) and (b). Lower limit of range Upper limit of range H=(220-a) (220-a) H= D a. What is the lower limit of the heart range, in beats per minute, for a 20-year-old with this exercise goal? beats per minute. The lower limit of the heart range is (Round to the nearest integer as needed.)

Colise has 2 vases of flowers that each hold 10 red and 5 yellow roses. Michelle has the same total number of roses but in 3 vases. Each vase has 6 red roses. How many yellow roses is in each of Michelle's vase?

V = πr²h is an equation to calculate the volume of a cylinder, V, where r represents the radius of the cylinder and h represents its height. Which equation allows us to easily find the height of the cylinder because it is solid for h? A. r²h = V/π B. h = V-πr² C. h=V/πr^2 D. πh = V/r^2

The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at z = 5 and x=0, and a root of multiplicity 1 at x = -2 Find a possible formula for P(x).

The mean SAT verbal score is 419, with a standard deviation of 96. Use the Empirical Rule to determine what percent of the scores lie between 227 and 515. (Assume the data set has a bell-shaped distribution.) 81.5% 68% 34% 83.9%

When Cara drives to work, it takes her 30 minutes to drive 15 miles. On her days off, she likes to drive to her favorite donut shop. It takes Cara 6 minutes to drive to The Dreamy Donut Shop at the same rate. How many miles away is The Dreamy Donut Shop?

The formula P = 0.35x - 73 models the profit, P, in dollars, for a shoe shiner when he shines x pairs of shoes. Use the formula to find this shoe shiner's profit when he shines 600 pairs of shoes. A) -$69.50 B) $527 C) $137 D) $210

Solve the inequality. State the solution in interval notation. -2x + 20 < 2x + 4

3.25H +2.25C = 32 The above equation is true if Thea buys H pounds of ham slices and C pounds of cheese slices at her local deli. The local deli charges $3.25 per pound of ham and $2.25 per pound of cheese. According to the equation, how much does Thea spend in total on both han and cheese slices?

An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 1 1/3 yards of paper for one box and yard of paper for the other box. The paper must be cut into pieces that are yard long. How many pieces will the student cut to use for the gift boxes?

Total revenue is in dollars and x is the number of units. Suppose that in a monopoly market, the demand function for a product is given by the following equation, where x is the number of units and p is the price in dollars. p = 400 - 0.2x (a) Find the total revenue from the sale of 500 units. (b) Find the marginal revenue at 500 units.

Adrienne and her brother John each inherit ($7,000 that they use to open savings accounts with. Adrienne's account earns 4.7% annual compound interest and John's account earns 4.7% annual simple interest. Neither makes any additional deposits or withdrawals for 10 years. a. Who's account will be worth more at the end of 10 years? b. How much more will the account be worth?

Provide an appropriate response. The scores of the top ten finishers in a recent golf tournament are listed below. Find the mean score. 71 67 67 72 76 72 73 68 72 72 68 71 72 67

Margaret is saving money at a constant rate. Suppose she initially has $80 saved, and after 4 months, she has $180 saved. Which of these expresses the rate at which Margaret is saving? Select the correct answer below: 25 dollars per month 25 months per dollar 100 dollars per month -25 dollars per month 80 months per dollar

In regular polygons, if the number of sides, n, is odd, the lines of symmetry will pass through a ____ and the ____ of the opposite side. If n is even, then the lines of symmetry will pass through two ____ vertices or the of two opposite sides.

A total of 246 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

If money can be invested at 3.7% compounded quarterly, which is larger, $659 now or $1000 in 10 years? Use present value to decide. The present value of $1000 in 10 years is $ (Do not round until the final answer. Then round to the nearest cent as needed.) Which value is larger? A. $659 now B. $1000 in 10 years

Haloween is a Holiday that many people observe on the last day of October every year Children and adult's dress in costumes and go door to-door asking for candy. Some people hoste partys and serve Halloween treats such as caramel apples, pop corn, and cidar. Others celebrate by telling scary stories or watching spookey movies.

How long will it take money to double if it is invested at the following rates? (A) 7.3% compounded daily (B) 14.6% compounded daily (A) years (Round to two decimal places as needed.) (B) years (Round to two decimal places as needed.)