Basic Math Questions and Answers

You invest $3000 into an account that has a 3.7% annual interest rate and is compounded monthly. How long will it take until you have doubled your money? A. 231.29 years B. 18.76 years C. 1.6 years D. 38.56 years

Victor Haddad sold 8 pumpkins for $2.75 each, 9 for $2.00 each, 24 for $1.50 each, and 15 for $1.00 each. He receives $0.35 for each pumpkin sold plus a $10.00 bonus if his sales total $75.00 or more. How much did he receive?

The true price of a gift you purchase by mail-order is $18.85, but you are billed for $19.27. Find the absolute and relative errors.

An object's velocity is given by v(t) = 0.5(t + 3)(t-1)(t - 5)2, where t is time, in seconds. What is the total distance traveled by the object in the first 5 minutes? A. 37.500 B. 41.667 C. 59.733 D. 77.800

For intervals of values, enter your answer using interval notation. Here are some examples of how interval notation relates to inequalities: With inequalities, we use "less than" (<) or "greater than" (>) to exclude the endpoint of the interval. With interval notation, we use use round parentheses: (, ). With inequalities, we use "less than or equal to" (s) or "greater than or equal to" (2) to include the endpoint of the interval. With interval notation, we use use square brackets: [ ]. To combine two intervals, use U (an uppercase letter u) for union: U. Use oo (two lowercase letter o's) for infinity: 00. Try it now. Enter the interval equivalent to 2 < x < 5 or x > 7.

Find the equation of the horizontal line that contains the point (-9,-5). Express the equation using either the general form or the slope-intercept form of the equation of a line. The equation of the line is. (Type an equation.)

A museum charges $14.50 for a one-day youth admission and $18.50 for a one-day adult admission. One Friday, the museum collected $1723 from a total of 110 youths and adults. How many admissions of each type were sold? The museum sold youth admissions and adult admissions.

In triangle ABC, the measure of angle B is 34° more than three times the measure of angle A. The measure of angle C is 56° more than the measure of angle A. Find the measure of each angle. Angle A measures

Find the absolute and relative errors in the following situation. The actual distance to a certain town is 32.8 miles, but your odometer reads 32.7 miles. The absolute error is The relative error is mile(s). (Type an integer or decimal rounded to the nearest tenth as needed.) %. (Type an integer or decimal rounded to the nearest tenth as needed.)

Each course at college X is worth either 2 or 3 credits. The members of the men's swim team are taking a total of 47 courses that are worth a total of 105 credits. How many 2-credit courses and how many 3-credit courses are being taken? 2-credit courses and 3-credit courses being taken. There are

The length of a rectangle is 1 m more than double the width, and the area of the rectangle is 45 m². Find the dimensions of the rectangle.

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 20+b=15.7 can be used to find the side lengths. If one of the longer sides is 6.3 centimeters, what is the length of the base? Icm

Fred earns $45 mowing the lawn. He spends $5 on music, and puts half of what's left in a savings account. He then gets another $5 for washing his neighbor's car. First, write the expression that represents the number of dollars Fred keeps (and does not put in his savings accbunt), and then simplify.

Write each of the following numbers in scientific notation. a. 6800 b. 0.00431 c. 247,120 a. 6800 = (Use the multiplication symbol in the math palette as needed.) b. 0.00431 = (Use the multiplication symbol in the math palette as needed.) c. 247,120= (Use the multiplication symbol in the math palette as needed.)

Select the correct answer from each drop-down Point O is the center of a circle passing through points A, B, and C. Bis a right angle. The center of the circumscribed circle lies on line segment of the circle.and the longest side of the triangle is equal to the

Xavier Zermeno worked through 174 pages of a 408-page computer training manual. It took him 2 days to work through the remaining pages. If he worked through the same number of pages each day, how many pages did he work through each day?

Kyle works at a donut factory, where a 10-oz cup of coffee costs 95¢, a 14-oz cup costs $1.15, and a 20-oz cup costs $1.50. During one busy period, Kyle served 31 cups of coffee, using 444 ounces of coffee, while collecting a total of $36.60. How many cups of each size did Kyle fill? Kyle filled 10-oz cup(s). 14-oz cup(s), and 20-oz cup(s).

Round the following numbers to the nearest tenth and nearest ten. a. 699.34 b. 764.148 c. 668.9 d. - 47.517 a. 699.34 rounded to the nearest tenth is and rounded to the nearest ten is b. 764.148 rounded to the nearest tenth is and rounded to the nearest ten is c. 668.9 rounded to the nearest tenth is and rounded to the nearest ten is d. -47.517 rounded to the nearest tenth is and rounded to the nearest ten is.

Give the slope and the y-intercept of the line with the given equation. Then, graph the linear equation. y = 2x + 3 What is the slope? Select the correct choice below and fill in any answer boxes within your choice. A. The slope is (Simplify your answer.) B. The slope is undefined.

Do the following operations without a calculator. Be sure to express answers in scientific notation. You may round your answers to one decima a.(3x10³) × (2×10⁹) b. (5x106) + (9x105) c. (4×10⁹) + (2x10³) a.(3x10³) x (2x 10) = 6x10 (Use the multiplication symbol in the math palette as needed.) b. (5x106) + (9x10³) = (Use the multiplication symbol in the math palette as needed.) C.(4x109) + (2x103) =0

Suppose the manager of a gas station monitors how many bags of ice he sells daily along with recording the highest temperature each day during the summer. The data are plotted with temperature, in degrees Fahrenheit (°F), as the explanatory variable and the number of ice bags sold that day as the response variable. The least squares regression (LSR) line for the data is Y = -135.99 + 2.46X. On one of the observed days, the temperature was 82 °F and 70 bags of ice were sold. Determine the number of bags of ice predicted to be sold by the LSR line, Ỹ, when the temperature is 82 °F. Enter your answer as a whole number, rounding if necessary.

Which of the following multiplication problems yield a product that is a rational number? Select TWO that apply. A-2x =5/7 B 2/5x3√2 c 2π X 1/3 5 x -3

You rent an apartment for the academic year (two semesters) with three of your college friends. The rent for the entire academic year is $10,000. Each semester you receive a bill for your share of the rent. If you and your friends divide the rent equally, how much must you pay each semester?

Pedro wants to make a square pen for his goats. He plans that the pen will have a perimeter of at most 60 ft and that a side of the pen will be at least 10 ft long. He has enough money to buy fencing for a pen as large as 40 ft on a side. a. The inequality 4n ≤ 60 models the amount of fence Pedro will use for a pen with side length n ft. Which values from 10 to 40 are solutions of the inequality? Write your answer using two inequalities. b. What do the solutions mean about the amount of fence Pedro will buy?

Until recently, the Zika virus was a rare and mild public health concern and little was known about it. In early 2015, Brazil reported an epidemic of Zika viral infection. Reports soon followed of unusual numbers of neurological disorders such as microcephaly in newborns, a condition characterized by a very small head and poor brain growth. (a) Explain why we cannot conclude from this information alone that Zika infections cause microcephaly in newborns. Select the correct choice from the options. We can conclude causality due to the sheer size of the study. There may be a lurking variable that is causing an increase in both Zika infections and microcephaly in newborns. It may not be Zika virus itself causing the increase of microcephaly in newborns. Some Brazilians are known carriers of the Zika virus, and this prevents us from drawing any conclusions. Correlation and regression lines describe only linear relationships, so no conclusions can be drawn.

Graph the following equation in a rectangular coordinate system. 6x+36=0 Use the graphing tool to graph the line.

A township buys a new asphalt road paver. The paver costs $50,500. The value of the paver decreases each year after purchase. Eventually, it decreases so much in value that it can only be sold for $2,500 for parts.

Which expression is equivalent to 6(x-4)? -6x +4 6x-4 6x-24 -6x + 24

Solve the compound inequality. 2x+4≥-8 and 4x+3<-5 Graph the solution on the number line.

Round the following numbers to the nearest integer. a. 2.22 b. 348.087 c. 10,672.4 d. - 18.2949 a. The number 2.22 rounded to the nearest integer is 2. b. The number 348.087 rounded to the nearest integer is c. The number 10,672.4 rounded to the nearest integer is d. The number - 18.2949 rounded to the nearest integer is

Amy and her husband, Richie, have a joint bank account. Amy and Richie get paid on different days. Amy got paid first and then Richie got paid second. We know that it does not matter in which order they get paid. What property of addition describes this fact?

a.Rewrite the equation 16x-4y-16=0 in slope-intercept form. b. Give the slope and y-intercept. c. Use the slope and y-intercept to graph the linear function.

A plane traveling at 300 mph is flying with a bearing of 30°. There is a wind of 50 mph from the south. If no correction is made for the wind, what are the final bearing and ground speed of the plane?

Solve for y, where y is a real number. 3√y=-3

As the 17th century wore on, regional differences continued to crystalize, most notably the continuing rigidity of Puritanism. the use of indentured servants. the importance of slave labor in the South. loyalty to England. the breaking of the Atlanta economy.

Write p2. p without exponents. p2.p= Fill in the blank. p2.p=

Solve for v, where v is a real number. 4√v=-4

Solve for w, where w is a real number. w1/4 = -2 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". W =

What are the degree and leading coefficient of the polynomial? -y6+18y² +20+5y

Suppose that you have $6500 to invest, and you invest x dollars at 12% and the remainder at 8%. Write expressions in x that represent the following values. (a) the amount invested at 8% (b) the interest earned on the x dollars at 12% (c) the interest earned on the money invested at 8% (d) the total interest earned

Graph the solution to the inequality on the number line. |w| > 2

Diane bought new headphones originally listed for $70.99. They are 25% off. Which equation can be used to find the amount Diane will save? Choose one 5 points x = .25(70.99) x = 1.25 (70.99) x = 25 (70.99) x = .75(70.99)

Find the midpoint of the line segment with endpoints (4, -2) and (8,-6).

Your grade in the class consists of 2 midterms 15% each, homework 10%, projects 5%, attendance 10%, and final 30%. Find the weighted mean if your scores are as follows in the class. Midterm 1:85 Midterm 2:90 Final: 80 Homework: 95 Project: 100 Attendace: 75 What is the sum of the weights that is find w=?

"There are up to five cookies left." Let c = the number of cookies left c>5 c<5 c≥5 c≤5 c-5

Life expectancy in a country can be approximated with the equation L = 28x0.24 where x is the number of years that the birth year is past 1900. (a) Express this equation with radical notation. L = (b) Use the equation to estimate the life expectancy for a person born in 2019. (Round your answer to one decimal place.)

Solve for y, where y is a real number. y 1/4=3

Solvex=63, where x is a real number. Simplify your answer as much as possible.

Identify the set of values x for which y will be a real number. y=√x-18

Choose the correct translation of the following into symbolic algebra: "five cookies less than the number of cookies left" Let c = the number of cookies left O c>5 Oc<5 O c25 O cs5 O c-5