Basic Math Questions and Answers

Using your knowledge of exponential and logarithmic functions and properties, what is the intensity of a fire alarm that has a sound level of 120 decibels? 10 * 10-12 watts/m² 1.0 x 100 watts/m² 12 watts/m² 1.10 x 102 watts/m²

Situation: There is a linear relationship between the total cost of a gym membership for the month and the number of fitness class taken that month. One month Mari took 10 classes and it cost her $75. Another month she took 8 classes and paid $60. Question: If the total cost of a gym membership for the month was $97.50, how many fitness classes did Mari take? Answer: Mari attended fitness classes.

Bentley invested $1700 in an account that pays 1.5% interest compounded annually. Assuming no deposits or withdrawals are made, write a recursive formula that represents the amount of money Bentley has in the account n years after his initial investment. ao= an =

Avocado Pickers are paid as shown below. What would be the gross earnings for a worker that picks 1,108 avocados? 1-500 Avocados $0.10 each 501 - 700 Avocados $0.14 each Over 700 Avocados $0.18 each

Given the equation 2√x-5=2, solve for x and identify if it is an extraneous solution. a. x = 6, solution is not extraneous b. x = 6, solution is extraneous c. x= 11, solution is not extraneous d. x= 11, solution is extraneous

Complete the table to determine the balance A for P dollars invested at rate r for t years, compounded n times per year. (Round your answers to the nearest cent.) Rate r = 7.5% Time t = 15 years Principal P = $1500 n 1 4 12 365 Continuous compounding A

A population of fish in a pond is decreasing by 4% each year. The population starts with 250 fish. Which of the following functions represent the population of fish as a function of time? P (t) = 250(4)^t-1 P (t) = 250(1 + .04)^t P (t) = 250(.04)^t-1 P (t) = 250(1-.04)^t

Tomas sells cars and there is a linear relationship between the number of cars he sells each week and his weekly pay. One week Tomas sold 4 cars and he made $820 that week. Another week he sold 6 cars and made $980. Write an equation that models the linear relationship between the number of cars Tomas sells in a week and his pay for that week. DO NOT USE ANY SPACES between variables, constants, equals signs, and operation signs. For example, DO NOT enter y = 2x + 1. DO ENTER: y=2x+1. Put parentheses around constants that are fractions like this: y=(2/3)x-(1/2) To write your equation, use the variables: p = total weekly pay ($) n = number of cars sold during the week The equation in slope-intercept form is

Select the correct answer. Consider the equation below (x - 2)³ - 6=3 √x + 4. Which statement explains why the solution to the equation is x= 4? A. The x-value of 4 is a x-intercept for both f(x)=(x - 2)³ - 6 and g(x)=3 √x + 4. B. The x-value of 4 produces the same y-value in both f(x)=(x - 2)³ - 6 and g(x) =3√x + 4. C. The x-value of 4 is undefined for both f(x) = (x - 2)³ - 6 and g(x)=3√x + 4. D. The x-value of 4 is defined on the graphs of both f(x) = (x - 2)³ — 6 and g(x) =3√x + 4.

Kaylee is looking to take out a mortgage for $260, 000 from a bank offering an annual interest rate of 5.7%, compounded monthly. Using the formula below, determine her monthly payment, to the nearest dollar, if the loan is taken over 10 years. M = Pr(1+r)"/(1+r)" - 1

Daniela measures her math book and records its width as 21.9 cm to the nearest tenth of a centimeter. The actual measurement of the book's width is 22.0 cm. What is the percent error of her measurement? Round your answer to the nearest tenth of a percent. A. 0.2% B. 0.5% C. 2.3% D. 4.5%

Tara works in a clothing store where she earns a base salary of $100 per day plus 12% of her daily sales. She sold $800 in clothing on Saturday and $1500 in clothing on Sunday. How much did she earn over the two days? A. $276 B. $376 C. $476 D. $576

Use the function equation to find the n-intercept of the linear function algebraically. C(n)=8n-1240 Write the ordered pair using parentheses like this: (x,y) with no spaces but with the appropriate numerical coordinates instead of x and y. If there is no 'x'-intercept type "N/A" in the blank. The n-intercept is

Katherine just started a running plan where she runs 8 miles the first week and then increases the number of miles she runs by 5% each week. If she keeps up this plan for 19 weeks, how many total miles would Katherine have run, to the nearest whole number?

The price per share of a professional sports team increased from $58 to $65 over the past year. What is the stock's percent increase during this time? Round your answer to the nearest percent. A 7% B. 9% C. 11% D. 12%

Answer the following questions about P(x)=x^3-4x²-3x+18: a. The polynomial P(x) has no remainder when divided by (x+2). List all of the roots of P(x). showing how you found the roots algebraically. b. Sketch a graph of the function f(x) =x+2/P(x) and explain or show algebraically how you found P(x) the asymptotes and holes, if any.

Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks. 1. Write an equation that represents the relationship between the dollar amount in her bank account and the number of weeks of saving. 2. Graph your equation using graphing technology. Mark the point on the graph that represents the amount after 3 weeks. 3. How many weeks does it take her to have $250 in her bank account? Mark this point on the graph.

A cylinder with a diameter of 16 yd and a height of 12 yd. 3467.84 yd³ 2412.74 yd³ 1781.32 yd³ 1321.15 yd³

"Maddox starts hiking from the main entrance to a trail. Penny starts her hike from the same entrance a little while later. The equations below represent the distance, d, in yards, that each person is from the entrance of the trail m minutes after Penny starts hiking from the entrance. Maddox: d = 40m + 200 Penny: d = 50m Which statement is true? Penny will be able to catch up to Maddox 20 minutes after Penny starts hiking on the trail. Penny will be able to catch up to Maddox when they are both 500 yards from the entrance to the trail. Penny will not be able to catch up to Maddox because Maddox started hiking 10 minutes earlier than Penny. Penny will not be able to catch up to Maddox because Maddox was 200 yards ahead of Penny when she started hiking.

Madison was given a large box of 42 chocolates for her birthday. If she eats exactly 5 chocolates each day, how many chocolates would Madison have remaining 5 days after her birthday?

Rhett decides to build a square room for his movie and music collection. If the area of the room is 4x² + 28x + 49 square feet, what is the length of one side of the room? (7x + 2) feet (2x + 7) feet (2x-7) feet (7x-2) feet

Flying against the wind, an airplane travels 2670 kilometers in 3 hours. Flying with the wind, the same plane travels 6150 kilometers in 5 hours. What is the rate of the plane in still air and what is the rate of the wind? Note that the ALEKS graphing calculator can be used to make computations easier.

Charmaine bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $350 more than the desktop. She paid for the computers using two different financing plans. For the desktop the interest rate was 7% per year, and for the laptop it was 6% per year. The total finance charges for one year were $398. How much did each computer cost before finance charges? Note that the ALEKS graphing calculator can be used to make computations easier.

Point S is on line segment RT. Given ST= 2x- 10, RS = 2x - 5, and RT = 3x + 1, determine the numerical length of RT.

Certain radioactive material decays in such a way that the mass remaining after t years is given by the function m(t) = 275e-0.045 where m(t) is measured in grams. (a) Find the mass at time t = 0. Your answer is (b) How much of the mass remains after 10 years? Your answer is

Find the circumference and area of a circle with a diameter of 22 inches. Leave your answers in terms of pl.

A wheel with three numbers on it--0, 1, and 2--is spun so that there is a 40% chance that the wheel lands on zero, a 10% chance the wheel lands on one, and a 50% chance the wheel lands on two. You get back the amount in dollars of the number that the wheel lands on. If it costs $1 to play, what is the expected value of the game? * -$1.10 -$0.10 $0.10 $0.20 $1.10

The equation of an ellipse is given below. x2/17+y²/35= 1 What are the foci of this ellipse? Choose 1 answer: A(√18,0) and (-√18,0) B (0, √35) and (0, -√/35) c (0, 18) and (0, -√18) D (√35,0) and (-√35,0)

A company makes electronic gadgets. One out of every 50 gadgets is faulty, but the company doesn't know which ones are faulty until a buyer complains. Suppose the company makes a $3 profit on the sale of any working gadget, but suffers a loss of $80 for every faulty gadget because they have to repair the unit. Can the company expect a profit in the long term? * Yes, they can expect a profit. No, they will lose money in the long term.

Select all of the symbols that would make the comparison true -7_-4 ≠ > ≤ = < ≥

You rent an apartment that costs $1500 per month during the first year, but the rent is set to go up 11.5% per year. Write a recursive formula to show what the rent is during the nth year of living in the apartment.

Which property should be used next in this solution process? 3x +2+3= 7 (x - 1)-4 3x+5= 7 (x-1) - 4 A Commutative Property of Addition B. Identity Property of Multiplication C. Associative Property of Multiplication D. Distributive Property

A company manufactures computers. Function represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day. N(t) = 50t/t + 4 E(t) = 70t/t + 3 Which function describes the difference of the number of components assembled per day by the experienced and new employees?

Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pl and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)

Suppose the points from a class total 1000 points and are divided into 600 points on the Exams and 400 points on Homeworks. If you averaged 75% on the exams and 90% on the homeworks, what is your overall percentage? Try to answer this with rate and mixture equation that we have used in many contexts.

Identify whether the following equation represents an exponential function. g(x) = -22.85x - 50.75 NOT an exponential function exponential function

In order to efficiently bid on a contract, a contractor wants to be 95% confident that his error is less than two hours in estimating the average time it takes to install tile flooring. Previous contracts indicate that the standard deviation is 4.5 hours. How large a sample must be selected? 5 20 4 19

b = 2.35 +0.25x c = 1.75 +0.40x In the equations above, b and c represent the price per pound, in dollars, of beef and chicken, respectively, x weeks after July 1 during last summer. What was the price per pound of beef when it was equal to the price per pound of chicken? A) $2.60 B) $2.85 C) $2.95 D) $3.35

Look at an example of a polynomial 7x³ - 2x²+x-5, we say that the degree of this polynomial is 3, which is the highest power. For this week's discussion, briefly explain how the degree of a divider is compared to the degree of the remainder. Divide the following expression, and compare the degree of the divider: x+3 and the degree of the remainder: (7x3-2x²+x-5)/x + 3

Last year, Amanda had $20,000 to invest. She invested some of it in an account that paid 5% simple interest per year, and she invested the rest in an account that paid 9% simple interest per year. After one year, she received a total of $1720 in interest. How much did she invest in each account? Note that the ALEKS graphing calculator can be used to make computations easier. First account: $ Second account: $

P(q) = -0.01(q-250) (q - 80) The equation above gives the profit, P(q), in dollars, earned by a cupcake bakery when q cupcakes are produced. What is the best interpretation of the number 80 in this context? A 80 is a number of cupcakes for which the profit is equal to $0. B 80 is the number of cupcakes that corresponds to the maximum profit. C 80 is the number of cupcakes that corresponds to the minimum profit. D $80 is the maximum profit, in dollars.

You want to create a custom border for a picture of you and your family. The picture measures 8 inches by 10 inches. What should the width of the picture frame be if the final area, including the picture, is three times the area of the picture by itself? • Write answer as a number only. Round answer to two decimal places in needed.

Divide and check your answer. 61+7 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The quotient is with no remainder. B. The quotient is with a remainder of OC. The quotient is undefined.

Ricardo transformed the quadratic parent function f(x) to create g(x). After the transformation, he noticed that the domain and range were the same for f(x) and g(x). Which of the following could NOT represent g(x)?

4. (Like 2003 Exit) Myesha makes hand-painted pots. Her overhead costs are $650 per week, and she pays an additional $12 per pot in material costs. What will be her total expenses if she sells 50 pots this week. A $250 B $650 C $1250 D $1650

You pick a card from a deck. If you get a face card (J,Q,K), you win $5. If you get an ace, you win $30 plus an extra $60 for the ace of hearts. For any other card you win nothing. Find the expected value you will win. *

Justin opened a savings account with $900 that pays no interest. He deposits an additional $190 each week thereafter. How much money would Justin have in the account 30 weeks after opening the account?

Dakota wants cover his patio with concrete pavers. If the patio is shaped like a trapezoid whose bases are 16 feet and 18 feet and whose height is 14 feet, how many square feet of pavers will he need?

2. A student bought a pair of sunglasses in the USA and paid $35.50. In England, an identical pair of sunglasses costs £26.99. The exchange rate is £1 = $1.42. In which country were the sunglasses cheaper, and by how much?

Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point? 4 feet 3 feet 5 feet 6 feet