Basic Math Questions and Answers

You have a choice between going to an in-state college where you would pay $6500 per year for tuition and an out-of-state college where the tuition is $9000 per year. The cost of living is much higher at the in-state college, where you can expect to pay $700 per month in rent, compared to $450 per month at the other college. Assuming all other factors are equal, which is the less expensive choice on an annual (12-month) basis? The yearly expense of the in-state college is $ college. the and the yearly expense of the out-of-state college is $ Thus, on an annual basis, the less expensive choice is

Inflation causes things to cost more, and for our money to buy less (hence your grandparents saying "In my day, you could buy a cup of coffee for a nickel"). Suppose inflation decreases the value of money by 5% each year. In other words, if you have $1 this year, next year it will only buy you $0.95 worth of stuff. How much will $100 buy you in 25 years?

Select the correct answer from each drop-down menu. A square rotated about its center by 360° maps onto itself at _____ different lines of reflection. across _____ different angles of rotation. You can reflect a square onto itself

Find the linear speed v for the following. the tip of a propeller 1 m long, rotating 500 times per min (Hint: r=0.5 m) The linear speed v for the tip of a propeller 1 m long, rotating 500 times per min is min. m per min. m.

How much should you deposit at the end of each month into an investment account that pays 7% compounded monthly to have $5 million when you retire in 38 years? How much of the $5 million comes from interest? Click the icon to view some finance formulas. In order to have $5 million in 38 years, you should deposit $ each month. (Round up to the nearest dollar.)

Select the correct answer. A regular octagon rotates 360° about its center. How many times does the image of the octagon coincide with the preimage during the rotation? A. 1 B. 2 C. 4 D. 8

Find all values of c that satisfy the mean value theorem for integrals on the following interval. R(v)=v²-v; [5,8] C= (Round to two decimal places as needed. Use a comma to separate answers as needed.)

A container ship left the Dania Pier and traveled north at an average speed of 20 mph. Sometime later an aircraft carrier left traveling in the same direction but at an average speed of 30 mph. After traveling for two hours the aircraft carrier caught up with the container ship. Find the number of hours the container ship traveled before the aircraft carrier caught up. 3 hours 6 hours 4 hours 5 hours 7 hours

A ball is launched into the air from the top of a building. Its initial velocity is 20 feet per second. The equation h - 16² +20 t + 50 can be used to model the height h of the ball in feet after t seconds. What is the height of the building the ball is being launched from? How long does it take for the ball to hit the ground?

Investors buy a studio apartment for $200,000. Of this amount, they have a down payment of $60,000. Their down payment is what percent of the purchase price? What percent of the purchase price would an $80,000 down payment be?

The number of asthma sufferers in the world was about 84 million in 1990 and 130 million in 2001. Let v represent the number of asthma sufferers (in millions) worldwide t years after 1990. (a) Write N as a linear function of t. Use exact values in your formula, not decimal approximations. N(t) = (b) Write N as an exponential function of t. Use exact values in your formula, not decimal approximations. N(t) = (c) How many asthma sufferers are predicted worldwide in the year 2014 with the linear model? (d) How many asthma sufferers are predicted worldwide in the year 2014 with the exponential model?

Mr. Smith decides to feed his pet Doberman pinscher a combination of two dog foods. Each can of brand A contains 4 units of protein, 1 unit of carbohydrates, and 2 units of fat and costs 60 cents. Each can of brand B contains 1 unit of protein, 1 unit of carbohydrates, and 4 units of fat and costs 40 cents. Mr. Smith feels that each day his dog should have at least 8 units of protein, 5 units of carbohydrates, and 16 units of fat. How many cans of each dog food should he give to his dog each day to provide the minimum requirements at the least cost? Mr. Smith should give his dog can(s) of brand A and can(s) of brand B to provide the minimum requirements at the least cost.

Suppose that you borrow $2000.00 from a friend and promise to pay back $3170.00 in 3 years. What simple interest rate will you pay?

Suppose that you earned a bachelor's degree and now you're teaching high school. The school district offers teachers the opportunity to take a year off to earn a master's degree. To achieve this goal, you deposit $3000 at the end of each year in an annuity that pays 7.5% compounded annually. How much will you have saved at the end of five years? Find the interest. b. Click the icon to view some finance formulas. a. After 5 years, you will have approximately $ (Do not round until the final answer. Then round to the nearest dollar as needed.)

Challenge in a company, 80% of the workers are men. If 600 people work for the company who aren't men, how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.

Use the problem-solving flowchart. The sum of three times a number and three is equal to the difference of the number and nine. Find the number. Round your answer to the neatest integer, if necessary. The number is

Karina has two investment options for $20,000 she is saving for her future college expenses. One account pays 2.5% interest compounded monthly. The second account pays 2.2% compounded weekly. Which account will have the larger balance after 5 years? First account both account none of them Second account

A rectangle has a length of x − 6 and a width of x-7. Which equation below describes the perimeter, P, of the rectangle in terms of x? P=2x-13 P-4x-26 p=x²-13x+42 P=x-13

We have seen that isosceles triangles have two sides of equal length. The angles opposite these sides have the same measure. Use the information to the right to help find the measure of angles 1 through 5.

A company wholesales shampoo in a particular city. Their marketing research department established the following weekly supply-and-demand equations. p= x/600 + 1/2 Supply equation p= 4500/x Demand equation How many units are required for supply to equal demand? At what price per bottle will supply equal demand?

You deposit $15,000 in an account that pays 4.5% interest compounded quarterly. A. Find the future value after one year. B. Use the future value formula for simple interest to determine the effective annual yield. Click the icon to view some finance formulas. A. The future value is $

Olivia sells solar panels to homeowners. She receives a 6% commission from the first $17,000 in sales and a 22% commission for any sales over $17,000. Last month he sold $54,400 worth of solar panels. How much commission did Olivia earn from her first $17,000 in sales?

You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot you are responsible to mow changes. The college conducts a lottery, and whichever number is drawn, represents the value. Your plot has a length which is four more than five times and the width is two less than three times .x. a.) What are the dimensions of your mowing plot? Length: Width: b.) What is the area of your plot (area= length x width)? Area: c.) If x= 12 meters, how many square meters is your plot? Area:

A bank offers a CD that pays a simple interest rate of 11.5%. How much must you put in this CD now in order to have $3,000 for a home-entertainment center in 2 years. The present value that must be invested to get $3,000 after 2 years at an interest rate of 11.5% is (Round up to the nearest cent.)

The city of Raleigh has 9,200 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 350 randomly selected registered voters was conducted. 180 said they'd vote for Brown, 157 said they'd vote for Feliz, and 13 were undecided. Give the sample statistic for the proportion of voters surveyed who said they'd vote for Brown. Round your answer to four decimal places. Preview This sample statistic suggests that we might expect Round to the nearest whole number. Preview of the 9,200 registered voters to vote for Brown.

After you build 1 shelf, your friend wonders how long it will take you to build 9 shelves. How much time will it take to build 9 shelves, if you work at a constant rate?

A major coffee supplier has warehouses in Seattle and San Jose. The coffee supplier receives orders from coffee retailers in Salt Lake City and Reno. The retailer in Salt Lake City needs 600 pounds of coffee, and the retailer in Reno needs 450 pounds of coffee. The Seattle warehouse has 1000 pounds available, and the warehouse in San Jose has 700 pounds available. The cost of shipping from Seattle to Salt Lake City is $2.50 per pound, from Seattle to Reno $3 per pound, from San Jose to Salt Lake City $4 per pound, and from San Jose to Reno $2 per pound. Find the number of pounds to be shipped from each warehouse to each retailer to minimize the cost. Ship pounds of coffee from Seattle to Salt Lake City. pounds of coffee from Seattle to Reno, pounds of coffee from San Jose to Reno. pounds of coffee from San Jose to Salt Lake City, and

You must decide whether to buy a new car for $23,000 or lease the same car over a three-year period. Under the terms of the lease, you can make a down payment of $2000 and have monthly payments of $150. At the end of the three years, the leased car has a residual value (the amount you pay if you choose to buy the car at the end of the lease period) of $11,000. Assume you can sell the new car at the end of the three years at the same residual value. Is it less expensive to buy or to lease?

Suppose that $5000 is deposited into an account that earns 3.5% interest compounded Semiannually. Let f(t) represent the value (in dollars) of the account at t years after depositing the $5000. Find the value of the account at t = 4 years. (Round your answers to two decimal places.) {Round your final answer to two decimal places}

A nature center charges a $5 admission charge for children who are 12 years old or younger and $10 for those 13 years old and older. On Tuesday, the petting zoo took in $1620 from ticket sales and sold a total of 232 tickets. How many tickets of each type were sold? a. Clearly write the unknown quantities you're being asked to find and assign variables to represent each of them. Let x = Let y = b. Using the information in the problem, write a system of equations representing this scenario. You may consider making a table to organize the known and unknown quantities to help you write the system.

A car traveling at speed v miles per hour on a dry road should be able to come to a full stop in the distance of D(V) = 0.055v² + 1.1v feet.+ Find the stopping distance required for a car traveling at 45 mph. (Round your answer to the nearest whole number.)

The formula for the perimeter of a rectangle is P = 2(1 + w) and the formula for the area of a rectangle is A = lw, where / is the length of the rectangle and w is the width. Determine the perimeter and the area of a 3 inch by 5 inch index card.

Suppose the weekly cost for the production and sale of bicycles is C(x) = 29x + 3655 dollars and that the total revenue is given by R(x)=81x dollars, where x is the number of bicycles. Write the equation of the function that models the weekly profit from the production and sale of x bicycles. What is the profit on the production and sale of 100 bicycles? Write the function that gives the average profit per bicycle. What is the average profit per bicycle if 100 are produced and sold?

Use a calculator conversion sequence to change the given angle in radians to the equal angle expressed in degrees to the nearest 0.01°. -4.487 rad -4.487 rad ≈ (Round to two decimal places as needed.)

A waitress sold 14 ribeye steak dinners and 32 grilled salmon dinners, totaling $598.67 on a particular day. Another day she sold 23 ribeye steak dinners and 16 grilled salmon dinners, totaling $581.98. How much did each type of dinner cost?

The table below describes phone calls made on the planet K-2L last year. The columns show calls dialed by men versus women, and the rows show the distribution of call lengths. (Note that this is not real data.) There were 312,480,000 phone calls made by women that lasted 30 minutes or more. How many calls made by men lasted 0 to 5 minutes?

You currently drive 300 miles per week in a car that gets 15 miles per gallon of gas. You are considering buying a new fuel-efficient car for $12,000 (after the trade-in allowance on your current car), which gets 50 miles per gallon. Insurance premiums for the new and old cars are $800 and $600 per year, respectively. You anticipate spending $1200 per year on repairs to the old car and having no repairs on the new car. Assume that gas costs $3.50 per gallon. Over a 5-year period, is it less expensive to keep your old car or buy the new car?

In camellia plants, flower color is controlled by a single gene with codominant alleles. A camellia plants with red flowers (RR) is crossed with a camellia plant with white flowers (WW). What are the expected phenotypes of the offspring of this cross? A All will have red flowers. B Half will have red flowers and half will have white flowers. C All will have pink flowers. D All will have both red and white flowers.

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with the preimage?

A Stegosaurus skeleton at a museum has a height of 4 meters. The gift shop at the museum sells a model of the Stegosaurus. The scale used to create the model was 1 cm = 0.16m. What is the height, in centimeters, of the model of the Stegosaurus the gift shop sells?

A curve has area 0.622 to the left of 65 and area 0.378 to the right of 65. Could this curve be a density curve for some variable? Explain your answer. Choose the correct answer below. A. The curve could not be a density curve because the total area under the curve is less than 1. B. The curve could be a density curve because the total area under the curve is equal to 1. C. The curve could not be a density curve because the total area under the curve is greater than 1. D. There is insufficient information to determine if this curve could be a density curve for some variable.

Assume that θ is an angle in standard position whose terminal side contains the point (-7,-24). Find the exact values of the following functions. sin θ= (Simplify your answer. Type an integer or a fraction.) *****

You are buying $48 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write and solve a linear equation to find the amount of Ryegrass lawn seed purchased.

Solve the quadratic equation by completing the square. x^2 +4x=60

A rectangular table seats 14 people: 1 person on each end and 6 on each of the longer sides. Thus, two tables placed end to end seat 26 people. (a) How many people can be seated if n tables are placed in a line end to end? (b) How many tables, set end to end, are required to seat 84 people? (a) If n tables are placed in a line, end to end, people can be seated. (Type an expression using n as the variable. Simplify your answer.) (b) If one table can seat 14 people, tables, set end to end, are required to seat 84 people. (Type a whole number.)

A car is traveling at a rate of 48 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 10 minutes? Do not round your answers.

write the given common argument form in symbols, then use a truth table to prove that it either is or is not a valid argument.

In 4 minutes, a conveyor belt moves 100 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 5 minutes. If both belts are used, find how long it takes to move the cans to the storage area. The conveyor belts together can move the 100 pounds of recyclable aluminum from the delivery truck to the storage area in minutes. (Simplify your answer. Type an integer, fraction, or mixed number.)

If a person can complete the following tasks in the following times, how much of the task can he complete in an hour? In other words, what is his rate at completing the task? a) Mow the lawn, 5 hours, (b) wash the car, 3 hours, (c) write a paper, 1.5 hours. a) The person will have mowed of the lawn in an hour. (Simplify your answer. Type an integer or a fraction)

In 3 minutes, a conveyor belt moves 600 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 7 minutes. If both belts are used, find how long it takes to move the cans to the storage area.