Math Questions

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

If f(x) is an odd function, which statement about the graph of f(x) must be true? It has rotational symmetry about the origin. It has line symmetry about the line y = -x. It has line symmetry about the y-axis. It has line symmetry about the x-axis.

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

Find the area of a regular octagon with an apothem of 7 inches and a side length of 5.8 inches. Enter your answer to the nearest tenth.

What does a false positive in a test for steroids mean? Choose the correct answer below. A. A person tested positive but did not actually take steroids. B. A person tested negative but actually took steroids. C. The test could not detect for sure whether or not a person took steroids. D. A person took steroids but did not get tested. E. A person tested positive and actually took steroids. F. A person tested negative and did not actually take steroids.

Write a slope-intercept equation for a line with the given characteristics. passes through (-3,-2) The slope-intercept equation for the line with the given characteristics is

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)=

An ellipse has a center at the origin, a vertex along the major axis at (0, 17), and a focus at (0, -8). Which equation represents this ellipse?

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 $

Find the slope-intercept equation of the line that has the given characteristics. Slope -11/7 and y-intercept (0,-2)

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?

Consider the recursive function. f(1) = 2 f(n) = 5 f(n-1), for n ≥ 2 Which statement is true? A The value of f(6) is 2 times the value of f(3). B The value of f(6) is 15 times the value of f(3). times the value of f(3). C. The value of f(6) is D. The value of f(6) is 125 times the value of f(3).

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.

The parent square root function, f, is transformed to create function g. g(x)=√+3-4 Which statement is true? A The graph of fis translated 3 units to the right and 4 units up. B. The graph of fis translated 3 units to the left and 4 units down. C. The graph of fis translated 4 units to the left and 3 units up. D. The graph of fis translated 4 units to the right and 3 units down.

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?

Consider these functions: f(x)=3x³ + 2 g(x)=3√(x-2)/3 Which statements, if any, are true about these functions? 1. The function g(x)) = x for all real x. II. The function g(x)) = x for all real x III. Functions and g are inverse functions. A. I only B. II only C. I, II, and III D. None of the statements are true.

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

The points (-8,-4) and (3,8) are the endpoints of the diameter of a circle. Find the length of the radius of the circle. The length of the radius is

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

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.

Semielliptical Arch Bridge An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a river 12 meters wide. The center of the arch is 5 meters above the center of the river (see the figure). Write an equation for the ellipse in which the x-axis coincides with the water level and the y-axis passes through the center of the arch. Type the left side of the equation below.

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

Theodore invests $4,000 at 4% simple interest for 2 years. How much is in the account at the end of the 2 years period?

Which of the following equations could be used to solve for the tenth term of the following sequence? 15, 13, 11, 9, ... A(10) 15+10(-2) A(10) = 15 + 9(2) A(10)=15+ 10(2) A(10)=15+ 9(-2)

Melissa saved $3900. Over the course of 6 years, Melissa ended up earning an additional $2106 in interest. What was the simple interest rate of the loan?

Select the correct answer from each drop-down menu. Mike drove 40 miles from his home to his office, and he then drove back home using the same route. The average speed on his return trip was 10 miles/hour more than the average speed on his trip to the office. The total time for the trip is represented by this expression, where x is the average speed on the trip from his home to his office.

Describe the transformations of the graph of y = 5.2-2 +3 as compared to the graph of y = 2*.

A plane is heading due south with an airspeed of 298 mph. A wind from a direction of 55° (N55°E) is blowing at 20 mph. Find the bearing of the plane. Round to the nearest degree. 178⁰ 92° 1879 183°