Basic Math Questions and Answers

You invested $19,000 in two accounts paying 6% and 8% annual interest, respectively. If the total interest earned for the year was $1420, how much was invested at each rate?

Use Euler diagrams to determine whether the following argument is valid or invalid. All rocks are hard. No marshmallows are hard. Therefore, no marshmallows are rocks. Chose the correct answer below. Invalid Valid

Write the indicated quotient in decimal form and round your answer to the nearest thousandth, if necessary. 6.022 ÷ 6/10

Consider the following scenario. For each year t, the population of a certain type of wasps in forest A is represented by A(t) = 92(1.021)^t. In forest B, the population of the same type of wasps is represented by B(t) = 79(1.025)^t. 1) Which forest's population of wasps is growing at a faster rate? 2) Which forest had a greater number of wasps initially. A or B? 3) Assuming the growth models continue to represent the population of wasps in each forest, which forest will have a greater number of wasps in 20 years, A or B? 4) How many wasps?

A musician plans to perform 5 selections for a concert. If he can choose from 9 different selections, how many ways can he arrange his program? A. 16,807 B. 2,520 C. 15,120 D. 126

2. The corresponding sides of two similar rectangles are 6 ft and 10 ft. The area of the smaller rectangle is 78 ft^2. To the nearest whole number, what is the area of the larger rectangle? 867 ft^2 130 ft^2 217 ft^2 1,950 ft^2

Erica wants to buy a new truck for $18,500. She has talked to the loan officer at her credit union and knows that they will loan her $12,000. She must also pay $315 for a license fee and $1250 for taxes. What amount of cash will she need to buy the truck?

Which statement is an example of a scientific theory? A. All living organisms are composed of one or more cells, which came from pre-existing cells. B. The amount that caffeine affects a person's heart rate differs based on the person's age. C. The Earth is the third planet from the Sun and has one moon, which orbits the Earth. D. Hummingbirds do not like the color white because they visit other colored flowers more often.

Select the statement that is equivalent to I saw King Kong or Braveheart. Choose the correct statement below. A. If I saw Braveheart, I did not see King Kong. B. If I saw King Kong, I did not see Braveheart. C. If I did not see King Kong, I saw Braveheart. D. I saw both King Kong and Braveheart.

Round the following number to the nearest ten. 1707.16

Round the decimal number to the nearest tenth. 2.55716

If a jeep travels 313 miles on 24 gallons of gas, how many miles per gallon does it average (to the nearest tenth)?

Write the following number in decimal notation. Ninety and eighty-five ten-thousandths

In a certain country people own a total of about 357 million fish, cats, and dogs as pets. The number of fish owned is 13 million more than the total number of cats and dogs owned, and 12 million more cats are owned than dogs. How many each type of pet do people in this country own?

Write the first five terms of the geometric sequence with the given first term, a₁, and common ratio, r. a₁ = 243, r=1/3 The first term is

Change the decimal to fraction form (or mixed number form) and reduce, if possible. 43.175

Select the statement that is not equivalent to the following statement. It is not true that Snoopy did not dance a jig and Charles Schultz wrote a sonata. If Snoopy did not dance a jig, then Charles Schultz did not write a sonata. Snoopy danced a jig and Charles Schultz did not write a sonata. Snoopy danced a jig or Charles Schultz did not write a sonata. If Charles Schultz wrote a sonata, then Snoopy danced a jig.

A manufacturer produces jeans in 9 sizes, 7 different colors, and 6 different stitching patterns. If a branch store manager orders two pairs of each possible type, how many pairs of jeans will he expect to have delivered? A. 576 B. 630 C. 738 D. 756

Let p and q represent the following simple statements. p: You are human. q: You have tusks. Write the following compound statement in symbolic form. You have tusks if you are not human. The compound statement written in symbolic form is

4.2.4: Dante and Kevin were playing Battleship. In this game, there are 100 squares and each square can only be fired at once. Dante's first shot was a miss, so now he wants to calculate the probability of getting a hit on his next shot. Would he have to consider this event as independent or dependent? A. Independent B. Dependent C. I do not know how to do this problem

City Cabs charges a $2.25 pickup fee and $1.75 per mile traveled. Diego's fare for a cross-town cab ride is $23.25. How far did he travel in the cab?

A company finds that if they price their product at $30, they can sell 270 items of it. For every dollar increase in the price, the number of items sold will decrease by 5. What is the maximum revenue possible in this situation? What price will guarantee the maximum revenue?

Form the negation of the statement. Saturday does not come before Sunday. Choose the correct answer below. A. Saturday comes before Sunday. B. Sunday does come before Saturday. C. It is not true that Saturday comes before Sunday. D. Sometimes Saturday does not come before Sunday.

Solve the given system of equations. 3x +2y-3z = -6 2x - 4y + 2z = -24 4x-3y + 4z = -33 Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution set is {()}. (Simplify your answers.) B. There are infinitely many solutions. C. There is no solution.

According to the U.S. Census Bureau, the population of the United States in 2008 was 304 million people. In addition, the population of the United States was growing at a rate of 1.1% per year. Assuming this growth rate is continues, the model P(t) = 304(1.011)-2008 represents the population P(in millions of people) in year t. According to the model, when will the population be 426 million people?

What is the urms (in m/s) for carbon dioxide (CO2) gas at 125°C? 475 m/s 266 m/s 15.0 m/s 226 m/s 70.9 m/s

At your school, 170 students participated in a fundraiser. It was the schools goal to get at least 80% of the students to participate. If there are a total of 290 students in the school, what percentage of the students participated in the fundraiser? *

A professional baseball player signs a contract with a beginning salary of $7,000,000 for the first year and an annual increase of 8% per year beginning in the second year. That is, beginning in year 2, the athlete's salary will be 1.08 times what it was the previous year. What is the athlete's salary for year 6 of the contract?

Find the sum of the infinite geometric series. 1-1/7+1/49-1/343+.... The sum of the infinite geometric series is

Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: (0, -3), (0,3); vertices: (0, -9), (0,9) Type the standard form of the equation.

A rectangular room measures 12 feet by 15 feet. The entire room is to be covered with rectangular tiles that measure 3 inches by 2 inches. If the tiles are sold at ten for $1.20, what will it cost to tile the room?

You throw a ball straight up from a rooftop. The ball misses the rooftop on its way down and eventually strikes the ground. A mathematical model can be used to describe the relationship for the ball's height above the ground, y, after x seconds. a. Find the quadratic function y = ax² +bx+c whose graph passes through the given points. y = -16x² +60x+275 b. Use the function in part (a) to find the value for y when x = 5.

A Ferris wheel at an amusement park has a diameter of 60 metres and makes one complete rotation in 5 minutes. At the bottom of the ride the passenger is 2m off the ground. Determine an equation that represents the height, h, in metres above the ground at time, t, in minutes. The passenger is at the bottom of the Ferris wheel at time t = 0.

If two distinct prisms have bases of equal area and altitudes of equal length, then A. their total areas are equal B. their volumes are equal C. they have the same number of faces D. their lateral areas are equal

Write a formula for the general term of the geometric sequence. Then use the formula for an to find a7, the seventh term of the sequence. 1.8, -5.4, 16.2, -48.6, ... an=

There are 320 kids at a carnival. Before entering, 70% of the kids said they wanted to ride the roller coaster as soon as they entered the carnival. If 212 kids rode the roller coaster, what percentage of the kids actually rode the ride?

Solve the system of equations: {2x-5y+z=-15 {-x+y-z=3 {x-3y=-9

Be sure to answer all parts. a) Convert 0.921 atm to mmHg. mmHg b) Convert 666 torr to bar. bar c) Convert 626 kPa to atm. atm d) Convert 833 mmHg to kPa.

At the beginning of an experiment, a scientist has 376 grams of radioactive goo. After 195 minutes, her sample has decayed to 23.5 grams. a) What is the half-life of the goo in minutes? minutes. Round your answer to the nearest whole number. How many grams of goo will remain after 53 minutes?

suppose you have an account that will grow to $255,000.00 in 18 years. It grows at 4.8% annual interest, compounded monthly, under the current investment strategy. The owner of the account, however, wants it to have $402,000.00 after 18 years. How much additional monthly contribution should they make to meet their goal?

The National Hurricane Center issues a hurricane warning if sustained winds of 74 miles per hour or higher associated with a hurricane are expected in a coastal area. Write an inequality showing the wind speeds for which a hurricane warning is issued.

Determine if (6, -6,2) is a solution of the system. x+y+z=2 x-2y-z=16 2x-y-2z=14 Choose the correct answer below. The ordered triple is a solution to the system. The ordered triple is not a solution to the system.

Suppose you deposit $2000 in a savings account that pays interest at an annual rate of 4%. If no money is added or withdrawn from the account, answer the following questions. a. How much will be in the account after 3 years? b. How much will be in the account after 18 years? c. How many years will it take for the account to contain $2500? d. How many years will it take for the account to contain $3000?

Simplify cos(11t) + cos(5t)/sin(11t)+ sin(5t) to an expression involving a single trigonometric function.

Choose the best answer. The diagonals of a square: A. are the same length and Intersect at different angles B. are the same length and Intersect at a right angle C. do not bisect each other and Intersect at right angles D. bisect each other at different angles

NASA is building a satellite that is roughly the shape of a sphere. If the satellite weighs 14.25 pounds per cubic foot before launch, and has a diameter of 4.7 feet, what is the total weight in pounds of the satellite on Earth? Use π = 3.14. A. 950 lbs B. 921 lbs C. 774 lbs D. 815 lbs

Company A pays $24,500 yearly with raises of $1,700 per year. Company B pays $28,500 yearly with raises of $850 per year. Which company will pay more year 10? How much more? Which company pays more in year 10? Both companies pay the same. Company B pays more. Company A pays more. There is not enough information.

A sample of Freon-12 (CF₂Cl₂) occupies 10.0 L at 365 K and 111.40 kPa. Find its volume at STP.

Use Gaussian elimination to find the complete solution to the following system of equations, or show that none exists. 5x + 17y + 4z = 14 2x + 7y+ 3z=-6 x + 3y - 2z = 2 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. There is one solution. The solution set is {( )}. (Simplify your answers.) B. There are infinitely many solutions. The solution set is {( , , z)}, where z is any real number. (Type expressions using z as the variable. Use integers or fractions for any numbers in the expression.) C. There is no solution. The solution set is Ø.

Roberto's train runs every 45 minutes. If he arrives at the train stop at a random time, what is the probability that he will have to wait at least 30 minutes? Round to the nearest percent. A. 75% B. 67% C. 50% D. 33%