Basic Math Questions and Answers

In order to start a small business, a student takes out a simple interest loan for $4000.00 for 3 months at a rate of 6.50%. a. How much interest must the student pay? b. Find the future value of the loan. a. The amount of interest is $

Consider the parent function: y = |x|. Which equation transforms the parent function 3 units to the left, 1 unit up, stretching it vertically by a factor of 2 and flipping it vertically? A.y=|-2x - 3|- 1 B.y=2|x - 3|-1 C.y=|2x + 3| + 1 D.y=-2|x + 3|+ 1

The approximate areas of Wisconsin and Washington, D.C. are listed below: Wisconsin: 1.7 x 105 square kilometers Washington, D.C.: 1.77 x 102 square kilometers How much larger is Wisconsin? Express your answer using scientific notation.

A recipe uses 5 cups of milk to make 20 servings. If the same amount of milk is used for each serving, how many servings can be made from two pints? 1 gallon=4 quarts 1 quart=2 pints 1 pint = 2 cups 1 cup = 8 fluid ounces Before you try that problem, answer the question below. How many cups will you need to find the number of servings for?

What is the converse of this statement? If a polygon is not a trapezoid, then it is not a quadrilateral. If a polygon is not a quadrilateral, then it is not a trapezoid. If a polygon is a trapezoid, then it is a quadrilateral. A rectangle is also a quadrilateral.

Please: (1) solve the provided equation, (2) verify your solution, and (3) conclude with a solution set. x/ (11/3) = -3/13

1An inlet pipe on a swimming pool can be used to fill the pool in 15 hours. The drain pipe can be used to empty the pool in 30 hours. If the pool is 1/2 filled and then the inlet pipe and drain pipe are opened, how long from that time will it take to fill the pool?

Set a linear equation for the following linear scenario to answer the questions: A new car costs $32,000, and the car's value depreciates linearly to $9,600 in three years. Explain the process to write a formula that expresses the car's value, V, in terms of its age, t, in years. What is the car's value in 5 years? At what point is the formula useless? Explain.

A local home store had a wheel-of-savings display for customers to spin as part of its end-of-summer sale. John spun the wheel, and it landed on a markdown series of 30% and 20%, applied to his final purchase. He bought a stainless steel, side- by-side refrigerator for $1,599.99. What is the price of the refrigerator after the series discounts were applied? Round your answer to the nearest cent. $895.99 $1,503.99 $480.00 $800.00

Josh buys an $8000 10-year bond that has a coupon rate of 4.5 %. If he keeps the bond to maturity, how much interest will he collect? $3600 $6300 $360 $3750

Brianna broke a cell sample into 12 batches, each weighing 8.7 x 10-5 grams. How much did the original sample weigh? Use scientific notation to express your answer.

Jamie recently drove to visit her parents who live 455 miles away. On her way there her average speed was 24 miles per hour faster than on her way home (she ran into some bad weather). If Jamie spent a total of 13 hours driving, find the two rates. Jamie's average speed to her parents' house: Jamie's average speed from her parents' house:

A client is instructed to drink 20 ounces of water within 1 hour. The client has only been able to drink 12 ounces. What portion of the water remains? (Express your answer as a fraction reduced to lowest terms)

Alice prepares a cheese sandwich for her supper. She stuffs an isosceles triangular cheese slice in it. Which of the following is the possible side measures of the cheese slice? a) 3 in, 5 in, 8 in b) 4 in, 4 in, 6 in c) 3 in, 3 in, 6 in Checklist: 1)Divide the first term of the numerator by the first term of the denominator, and put that in the answer. 2)Multiply the denominator by that answer, put that below the numerator. 3)Subtract to create a new polynomial. 4) Repeat, using the the new polynomial.

What is a counterexample of this statement? If a polygon is a trapezoid, then it is a quadrilateral. If a polygon is not a trapezoid, then it is not a quadrilateral. A rectangle is also a quadrilateral. If a polygon is not a quadrilateral, then it is not a trapezoid.

Use the like-bases property and exponents to solve the equation (1/10) ^ x-5 = 10 ^ 4x+5 x=

11. James has $24 dollars in his high school lunch account. The standard school lunch costs $2.50. a. Write an equation for the amount of money in his account based on the number of school lunches that he purchases. b. How much money will be left in his account if he purchases lunch on Monday and Tuesday? Explain your reasoning. c. Can he buy lunch every day that week? Explain. d. The month of June has 14 full school days. Can he buy lunch every day in June? Explain.

Suppose that a loan of $7000 is given at an interest rate of 8% compounded each year. Assume that no payments are made on the loan. Follow the instructions below. Do not do any rounding. (a) Find the amount owed at the end of 1 year. $ (b) Find the amount owed at the end of 2 years. $

A company sells sneakers and has a revenue that can be represented by the function R(s) = 90s-s², where s represents the number of pairs of sneakers sold. The sneaker company has a fixed cost of $1,500, and each pair of sneakers costs $30 to manufacture. Which of the following functions represents the profit P(s) of the sneaker company? P(s) = -s² + 120s + 1,500 P(s) = -s²+60s + 1,500 P(s) = -s² + 120s - 1,500 P(s) = -s²+60s - 1,500

For which of the following do the diagonals form 90 degree angles? (Choose all that apply) Square Rectangle Rhombus Parallelogram

The width of a rectangle is 5t-5.5 feet and the length is 5.5t + 8 feet. Find the perimeter of the rectangle. The perimeter of the rectangle is feet.

Suppose that you have $9,000 in a rather risky investment recommended by your financial advisor. During the first year, your investment decreases by 40% of its original value. During the second year, your investment at the end of year one increases by 50%. Your advisor tells you that there must have been a 10% overall increase of your original $9,000 investment. Is your financial advisor using percentages properly? If not, what is your actual percent gain or loss of your original $9,000 investment? Select the correct choice below and fill in the answer boxes to complete your choice. (Type a whole number) A. No, there is an actual percent loss of B. Yes, there is an actual percent loss of C. Yes, there is an actual percent gain of D. No, there is an actual percent gain of

Victoria buys a two-gallon bottle of juice for $48.64. What is the unit rate of the cost of the juice per fluid ounce? 1 gallon=4 quarts 1 quart=2 pints 1 pint = 2 cups 1 cup = 8 fluid ounces Before you try that problem, answer the question below. How many fluid ounces of juice did Victoria buy?

The approximate average distances from the sun to Saturn and Venus are listed below: Saturn: 1.43 × 10⁹ kilometers Venus: 1.08 x 108 kilometers How many times farther from the sun is Saturn? Write your answer in standard notation, rounding to the nearest tenth.

A single die is rolled one time. Find the probability of rolling an even number or a number less than 5. 1 5/6 2/3 1/2

Letf(x) = 3x4 – x³ - 24x² + 32x - 8. 1. Using the Rational Zeros Theorem, list the possible rational zeros of f(x). 2. Find all (real/complex) zeros of f(x). You must use synthetic division to find the first two zeros. Any other method will receive no credit. Show all of your work. 3. Determine the X-intercept(s) of f(x). If there are no x-intercepts, write "NONE EXIST."

Solve the problem. 1) A city is growing at the rate of 0.9% annually. If there were 3,619,000 residents in the city in 1994, find how many (to the nearest ten-thousand) are living in that city in 2000. Use y = 3,619,000(2.7)^0.009t

Verify that the equation is an identity. csc θ/ cot θ= sec θ

The cost, in dollars, for a video game developer to code g games can be represented by the function v(g) = 500+ 750g. The number of games produced in w weeks is given by the function g(w) = 3w. Which of the following expressions represents the total cost of games after w weeks? 500 + 750g + 3w 1500 + 2250g 500+2250w 1500w +2250wg

Maria completed 3/4 of her workday. Create a model that represents what percent of the workday Maria has worked.

A real estate sales agent receives a salary of $250 per week plus a commission of 2% of total sales. If the real estate agent sells a house worth $300,000, what would their total income be for the week?

Find the second derivative of the function. f(x) = x sin(x)

Use the counting principle to obtain the answer. A restaurant offered salads with 4 types of dressings and 3 different toppings. How many different types of salads could be offered? A. 12 B. 16 C. 7 D. 9

Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika}, C = {Hans, Frans}. Does n(CUB) = n(C) + n(B) - n(Cn B)? Yes No

An airplane can travel 365 mph in still air. If it travels 2716 miles with the wind in the same length of time it travels 2394 miles against the wind, what is the speed of the wind?

Parents wish to have $120,000 available for a child's education. If the child is now 4 years old, how much money must be set aside at 3% compounded semiannually to meet their financial goal when the child is 18? Click the icon to view some finance formulas. The amount that should be set aside is $ (Round up to the nearest dollar.)

The denominator of a fraction is five more than three times the numerator. If both numerator and denominator are decreased by five, the simplified result is 1/8. Find the original fraction. (Do NOT simplify.)

Evaluate x² - 4x - 5 /x + 1 when x = -4

The formula for the surface area S of a cone is S = r² + rs, wherer is the radius and s is the slant height. Solve the formula for s. Justify each step. Then find the slant height of the cone when the surface area is 113 square feet and the radius is 4 feet. Approximate to the nearest tenth.

a. Graph the function f(x)= ex on the window [-5,5] by [-10,30]. b. Find f(1), f(-4), and f(4), rounded to three decimal places. c. What is the horizontal asymptote of the graph? d. What is the y-intercept?

The use of calculators in math classrooms has been on the rise over the past 15 years. Is this a good tool that supports students in their learning? Or is it causing too much harm by allowing students to go through life without having mastered basic skills like adding, subtracting, multiplying, etc.? Choose a position and explain why.

A population of rabbits doubles every year and there were 1 million rabbits at the start of 2008. a. How many million rabbits are there in 2013? Hint: How many rabbits are there in 2009? In 2010? b. In what year will there be 10 million rabbits? Hint: Use logs! In the year

The denominator of a fraction is four more than the numerator. If both numerator and denominator are decreased by four, the simplified result is 5/7. Find the original fraction. (Do NOT simplify.)

The odds in favor of Trudy beating her friend in a round of golf are 1:6. Find the probability that Trudy will lose.

Out of a random sample of 65 freshmen at State University, 31 students have declared a major. Use the "plus-four" method to find a 96% confidence interval for the true proportion of freshmen at State University who have declared a major.

Simplify by combining like terms. 75/7 b + 2 2/3 b

A construction worker needs to pour a rectangular slab 20 ft long, 28 ft wide, and 9 in. thick. How many cubic yards of concrete does the worker need? (Assume that the construction worker cannot buy a fraction of a cubic yard of concrete.) The worker needs cubic yards of concrete. (Type a whole number, rounded up to the nearest full cubic yard of concrete.)

A tool rental store charges a flat fee of $6.50 to rent a chain saw, and $3.75 for each day, including the first. Write an equation that expresses the cost y of renting this saw if it is rented for x days.

A scientist uses a submarine to study ocean life. She begins at sea level, which is an elevation of o feet. She descends 48.7 feet. She then rises 38.3 feet. Next, she travels down a second time, 83.6 feet. How many feet must she now ascend to get back to sea level?

According to the Original Tipping Page, www.tipping.org, it is appropriate to tip waiters and waitresses 15%-20% of the pre-tax restaurant bill. The Leeseburgs' dinner costs $49.00 before tax, and the tax rate is 6%. a) What is the tax on the Leeseburgs' dinner? b) If the Leeseburgs decide to tip 20% of the pre-tax bill, how much is the tip? c) What is the total cost of the dinner including the tax and tip?