Basic Math Questions and Answers

You want to buy a $183,000 home. You plan to pay 15% as a down payment, and take out a 30 year loan for the rest. a) How much is the loan amount going to be? b) What will your monthly payments be if the interest rate is 6%? c) What will your monthly payments be if the interest rate is 7%?

You can afford a $350 per month car payment. You've found a 4 year loan at 5% interest. How big of a loan can you afford?

Melanie used cross multiplication to correctly solve a rational equation. She found one valid solution and one extraneous solution. If 3 is the extraneous solution, which equation could she have solved? A. The equation is 4/(x-3)=x/10 because 3 makes a denominator equal to zero and is not a solution of the equation derived from cross multiplying. B. The equation is (x-3)/4=2x/4x because 3 makes a numerator equal to zero and is not a solution of the equation derived from cross multiplying. C. The equation is 8/(x^2-9)=5/(2x-6) because 3 makes a denominator equal to zero and is not a solution of the equation derived from cross multiplying. D. The equation is 8/(x+3)=12/4x-3 because 3 is a soluiton of both the original equation and equation derived from cross multiplying.

Select the correct answer. Which statement describes the solutions of this equation? 4/3x+1 = x/2x+10 A The equation has one valid solution and no extraneous solutions. B The equation has one valid solution and one extraneous solution. C The equation has two valid solutions and no extraneous solutions. D. The equation has no valid solutions and two extraneous solutions.

Select the correct answer. The value of m varies inversely as the square of n. When = 3, m = 6. What is the positive value of n when m = 13.5? A 18 B. 4 C 2 D. 9

The relationship between voltage E, current I, and resistance Z is given by the equation E = IZ. If a circuit has a current i = 3 + 2i and a resistance Z = 2-i, what is the voltage of the circuit? 4-i 4+i 8+i 8+7i

It takes Greg and Nikki a total of 40 minutes to paint a room if they work together. If Greg works alone, he takes 18 minutes longer to paint he room than Nikki takes if she works alone. When x represents the number of minutes it takes Nikki to paint the room working alone, the situation is represented by this equation: 1/x + 1/x+18 = 1/40 Which value is a solution of the rational equation that must be discarded because of the context? A. x=0 B.. X=-10 C. x= -18 D. X=-72

Which survey is most likely affected by bias? a survey of teenagers about their favorite colors a survey of students about vacation policies in a school district a survey of supermarket shoppers about products they would like to see added a survey of bike riders on whether they wear helmets

An airplane ascends at an angle of elevation of 22° for a ground distance of 7850 feet. What height does the plane gain during this ascent? Draw a picture on paper to support your answer, and round your answer to the nearest whole foot.

On Wednesday, a local hamburger shop sold a combined total of 576 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?

The quotient of (x^4-3x^2 + 4x - 3) and a polynomial is (x^2+x-3). What is the polynomial? x^4-2x^2 + 5x-6 x^2-x+1 x^6+x^5-6x^4 + x^3 + 10x^2-15x + 9 x^4-4x^2 + 3x

Find the amount of simple interest earned for depositing the given principle in an account. if $3500 is invested at 6 % for 2 months

You deposit $6000 in an account earning 5% interest compounded monthly. How much will you have in the account in 10 years?

Compare A and B in three ways, where A = 1.8 million is the 2012 population of city X and B= 2.6 million is the 2012 population of city Y. a. Find the ratio of A to B. b. Find the ratio of B to A. c. Complete the sentence: A is percent of B. a. The ratio of A to B is

If $6,000.00 is invested at 7% annual simple interest, how long does it take to be worth $10,620.00. It will take 4.334 x years (round to the nearest whole).

A population of bacteria increases by 30 every hour. Is this situation linear or exponential? A) Linear, because the function decreases B) Exponential, because the function increases by a common ratio C) Linear, because the function increases by a common difference D) Exponential, because the function decreases

Find the balance if $18000 is invested in an account paying 2 % interest compounded semi-annually for 21 years.

Find the APY (interest rate), if a principal of $1600 earned $1472 over 23 years.

You decide to borrow $26,000 to put in a new swimming pool. You obtain a loan for 20 years, making equal monthly payments. After how many years will the greatest amount of your payment be going toward principal? 5 years 19 years 15 years 1 year

Enter the correct answer in the box. Rewrite the expression 24 x 7 using rational exponents.

Given the following statement, "If two angles form a linear pair, then they are supplementary", which of the following is the converse of the statement? If two angles do not form a linear pair, then they are not supplementary If two angles form a linear pair, then they are not supplementary If two angles are supplementary, then they form a linear pair Two angles form a linear pair if and only if they are supplementary

Alice's backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m². What is the approximate width of her backyard? 11.2 m 15.8 m 22.4 m 44.8 m

Identify the first 4 terms in the arithmetic sequence given by the explicit formula f(n) = 8 + 3(n-1). A) 8, 5, 2, -1 B) 3, -5, -13, -21 C) 8, 11, 14, 17 D) 3, 11, 19, 27

Kara's Custom Tees experienced fixed costs of $200 and variable costs of $5 a shirt. Write an equation that can be used to determine the total expenses encountered by Kara's Custom Tees. Let x be the number of shirts, and let C(x) be the total cost of producing x shirts. Then, calculate the cost of producing 6 shirts. An equation that can be used to determine the total cost of producing x shirts is C(x)=

Aaliyah, Julio, Dan, and Miriam are each studying sets of data. Aaliyah is working with 14 data pairs with a correlation coefficient of 0.9. Julio is working with 13 data pairs with a correlation coefficient of -0.8. Dan is working with 10 dats pairs with a correlation coefficient of 0.1. Miriam is working with 15 data pairs with a correlation coefficient of -0.2. For which two data sets is a linear regression model reasonable? Aaliyah's and Julio's data sets Julio's and Miriam's data sets Dan's and Miriam's data sets Miriam's and Aaliyah's data sets

You currently have $6,600 in an account that has an interest rate of 6.5% per year compounded semi- annually. You want to withdraw all your money when it reaches $11,220. In how many years will you be able to withdraw all your money?

The area of undeveloped land in a suburban town is decreasing at a rate of 17.3% annually. In 2016, there were 3,400 acres of undeveloped land. If t represents the number of years since 2016, which equation can be used to determine after how many years the town will have 900 acres of undeveloped land remaining? A 900 3,400(0.827)* B. 900 = 3,400(1.173) C 3,400 900(0.9827) D. 3,400 900(0.1.73)*

Find the final amount of money in an account if $3,400 is deposited at 6.5% interest compounded weekly and the money is left for 8 years. The final amount is $

You want to be able to withdraw $20,000 each year for 15 years. Your account earns 8% interest. a) How much do you need in your account at the beginning? 171189.5 b) How much total money will you pull out of the account? $3000000 X c) How much of that money is interest?

You deposit $140 each quarter into an account earning 7.5% interest compounded quarterly. a) How much will you have in the account in 25 years? b) How much total money will you put into the account? c) How much total interest will you earn?

Find the slope and the y-intercept of the line with the following equation. 2x + 5y = 7 Find the slope of the line. Select the correct choice below and, if necessary, fill in the answer box. A. The slope is (Type an integer or a simplified fraction.) B. The slope is undefined.

Joel is considering putting a $4600 laptop purchase on his credit card, which has an interest rate of 5.35% compounded monthly. How long will it take him to pay off the purchase if he makes monthly payments of $35? Round your answer to the nearest tenth of a year.

An issue of a magazine contained the following statement. Dropping less than two inches per mile after emerging from the mountains, a river drains into the ocean. One day's discharge at its mouth, 4.9 trillion gallons, could supply all of country A's households for seven months. Based on this statement, determine how much water an average household uses each month. Assume that there are 100 million households in country A. gallons per household per month. Country A uses approximately ... gallons per household ğer month. (Type a whole number.)

You currently have $6,200 (Present Value) in an account that has an interest rate of 8% per year compounded semi-annually (2 times per year). You want to withdraw all your money when it reaches $14,880 (Future Value). In how many years will you be able to withdraw all your money?

The amount of force, F, needed to lift an object using a lever varies inversely as the length, 1, of the lever. When a 24-inch lever is used, a force of 240 pounds is needed. How much force is needed if a 36-inch long lever is used? A 120 pounds B.160 pounds C. 252 pounds D. 360 pounds

The areas of two similar squares are 16 m² and 49 m². What is the scale factor of their side lengths?

Weight on the Moon: Your weight on the Moon is relative to your weight on Earth. Neil Armstrong weighed 312 lbs. in his Moon gear while on the Earth, but on the Moon he only weighed 52 lbs. How much would an object that weighs 323 lbs on the Earth weigh on the Moon? Express your answer rounded to the nearest tenth of a pound.

Compare A and B in three ways, where A = 1.94 million is the 2012 daily circulation of newspaper X and B=2.14 million is the 2012 daily circulation of newspaper Y. a. Find the ratio of A to B. b. Find the ratio of B to A. c. Complete the sentence: A is a. The ratio of A to B is percent of B.

A hall 110 feet in length is to be designed as a whispering gallery. If the foci are located 20 feet from the center, how high will the ceiling be at the center? The ceiling will be about feet high.

The current student population of St. Louis is 2800. If the population increases at a rate of 11.1% each year. What will the student population be in 6 years? Write an exponential growth model for the future population P(x) where x is in years: P(x) = What will the population be in 6 years? (Round to nearest student)

What is an equation of a circle whose center is at (2,-4) and is tangent to the line x = -2? 1) (x - 2)² + (y+4)² = 4 2) (x + 2)² + (y-4)² = 16 3) (x + 2)² + (-4)²=4 4)(x-2)² + (x+4)²-16 1 2 3 4

d = 3.2(t+1) (2t - 3) An air pump increases the oxygen levels in an aquarium and reduces the build-up of waste materials. The equation shown above gives the depth, d, in inches of an air bubble beneath the surface of the water t seconds after it emerges from the air pump. After how many seconds does the air bubble reach the surface?

Find the final amount of money in an account if 3,400 is deposited at 6.5% interest compounded weekly and the money is left for 8 years. The final amount is $ Round the answer to 2 decimal places.

The areas of two similar octagons are 9 m² and 25 m². What is the scale factor of their side lengths?

If $15,000.00 is invested at 10% annual simple interest, how long does it take to be worth $33,000.00. It will take to the nearest whole). years (round

Select the correct answer. Which function displays this end behavior? As x approaches negative infinity, y approaches positive infinity. As x approaches positive infinity, y approaches negative infinity. y = 3(1-1)² y -2³ - 1 y = (¹ + 2)³ - 9 y = -3.x² + 4

Answer the following questions for the price-demand equation. p+0.001x=40 (A) Express the demand x as a function of the price p.

A baseball is hit towards the outfield, following the equations x (t) = 51.5t and y(t) = -16t² + 105t +4, where and y are measured in feet and t is time measured in seconds. A. How long does it take for the ball to hit the ground? Round your answer to the nearest second. B. How far has the ball traveled (horizontally) when it hits the ground? Round your answer to the nearest foot. C. Eliminate the parameter by writing the parametric equations as a single rectangular equation. D. 330 feet away the outfield fence stands 20 feet high. Is the ball going to clear the fence? Justify your answer.

An equilateral triangle has symmetry with respect to a line containing an altitude of the triangle. True False

Find the common difference for the given sequence. 1.05, 1.1, 1.15, 1.2, ... 0.5 0.05 0.005