Basic Math Questions and Answers

Find each percent increase. Round to the nearest percent 1. From 24 teachers to 30 teachers 2. From $18 to $45 Find each percent decrease. Round to the nearest percent. 3. From 20 miles to 11 miles. 4. From 84 seconds to 8 seconds_ Given the original amount and the percent of change, find the new amount. 5. $25; 300% increase 6. 56 books; 75% decrease 7. 160 bananas; 20% decrease. 8. 52 companies; 25% increase Solve. 9. Last year, there were 380 students at Woodland Middle School. This year, the student population will increase by 5%. What will be the school's increased student population? 10. In August, the Simons' water bill was $48. In September, it was 15% lower. What was the Simons' water bill in September?

A cereal packaging machine can fill 15 oz boxes at a rate of 3 boxes every 2 minutes, Production has scheduled 600 lbs to be processed during each 8-hour shift. Approximately how many minutes of down time will the machine have during each shift? 1602 in 1 pound von 1763 Q: (Underline the Question) D: (Circle/Highlight the relevant Data) P: (Write the operations/Plan you will use) . A: (Show your Work to find the Answer) q C: (Check that your answer is appropriate for the context)

TES ASK YOUR TEACHI What amortization payment (in $) would you need to make each month at 12% interest compounded monthly to pay off a loan of $17,000 in 2 years? Use Table 12-2. (Round your answer to the nearest cent.)

integer larger than a Find three every other even integers such that the sum of all three is equal to three times the largest decreased by the other two numbers.

18.) In the year 2010, the New York Yankees and the Boston Red Sox had the most expensive ticket prices in Major League Baseball. Two Yankee tickets and three Red Sox tickets cost $296.66 while three Yankee tickets and two Red Sox tickets cost $319.39. Find the cost of a Yankee ticket and a Red Sox ticket.

Which phrases are used to describe an upper-tail test? (Select all that apply.) O is greater than is less than is not the same as is smaller than is bigger than is shorter than is longer than is different from is decreased from is increased from has changed from is above is below is not equal to

I The magnitude R, measured on the Richter scale, of an earthquake of intensity I is defined as R = log lo Richter scale? The magnitude of the earthquake was (Simplify your answer.) where lo is a minimum intensity used for comparison. If the intensity of an earthquake was 107.83 lo what was the magnitude on the

There are many different phrases that are commonly used in hypotheses with co.responding symbols. Translate the following phrases to the appropriate type of test. (a) Which phrases are used to describe a lower-tail test? (Select all that apply.) is greater than is less than is not the same as is smaller than is birer than is shorter than is longer than is different from is decreased from is increased from has changed from is above is below is not equal to

2. Given g(x) = √√x + 9 and h(x) = -2x² + 1, a. Use the input of 7. In what order must the functions be used to get a final output of - 31. b. What is the final output given when an input of -2 is passed through the h function and then the g function?

Analyze the polynomial function f(x)=49x-x using parts (a) through (h) below. (a) Determine the end behavior of the graph of the function. The graph of f behaves like y=-x for large values of |x|. (b) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)

How much should a mother invest at the time her son is born in order to provide him with $50,000 at age 21? Assume that the interest is 5% compounded quarterly. The mother should invest $ *****

Select the inverse of the given statement. If the dog is blue, then the cat is pink. O The dog is not blue or the cat is pink. O The dog is blue if and only if the cat is pink. O If the cat is not pink, then the dog is not blue. O The dog is not blue and the cat is pink. O If the dog is blue, then the cat is not pink. O If the cat is not pink, then the dog is blue. O The dog is blue and the cat is not pink. O If the dog is not blue, then the cat is not pink. O The dog is blue or the cat is not pink. O None of these.

Given f(x) = 2x³ + 7x² + 14x - 9. Use the intermediate value theorem to determine whether f(x) has a zero on the interval [0, 1], the zero if it exists. Select one: O a.-1 O b. 1 O c. 1 2 O d. There is no zero on the interval.

7) Tom is deciding whether or not he should become a member gym to use their basketball courts. The membership cost is $135. Members pay $2 to rent out the basketball courts. Non-members can rent the court also, but they have to pay $11 each time. how many times would Tom need to rent the court in order for it be cheaper to be a member than a non member? roq 60.02)

Choose the correct description(s) of the pattern below. Then find the the next three numbers. 4, 6, 9, 13.5, . . . Each number is 0.5 times the previous number. Each number is 1.5 times the previous number. Each number is of the next number. Each number is of the previous number. Written as decimals, the next three numbers are 6.75 and

In a class of 45 students, 26 are Democrats, 9 are business majors, and 5 of the business majors are Democrats. If one student is randomly selected from the class, find the probability of choosing a Democrat or a business major. P(Democrat or business major) = (Simplify your answer. Type an integer or a simplified fraction.) .....

Suppose that your bank pays 6% interest, compounded quarterly. Use Table 12-2 to find how much should be deposited now to yield an annuity payment of $1,700 at the end of ea three months, for 3 years. (Round your answer to the nearest cent.) $

Rent-A-Reck Incorporated finds that it can rent 60 cars if it charges $80 for a weekend. It estimates that for each $5 price increase it will rent two fewer cars. What price should it charge to maximize its revenue? $ How many cars will it rent at this price?

A passenger train traveled 120 miles in the same amount of time it took a freight train to travel 70 miles. The rate of the freight train was 30 miles per hour slower than the rate of the passenger train. Find the rate of the passenger train. Rate of the passenger train: miles/hour 00

Determine what the key terms refer to in the following study. A study was conducted in a local community to analyze which voters would be likely to vote and how on an upcoming bond. Variable ✓ Parameter Statistic ✓Population ✓ Data Sample a. the number of eligible voters who actually plan to vote b. all eligible voters in the comunity c. the attendance of a single voter d. a group of voters in the community who voted, randomly selected e. the number of eligible voters in the study who actually plan to vote f. voted, didn't vote, voted

A line segment has endpoints A(2, -1) and B(3,5). What is the output of the transformation T(AB)((-4,0)? A. a line segment with endpoints A'(-2,-5) and B'(-1, 1) B. a line segment with endpoints A'(-2, -1) and B'(-1, 5) C. a line segment with endpoints A'(6, -1) and B'(7,5) D. a line segment with endpoints A'(6, 3) and B'(7,9)

Michelle is picking up sandwich ingredients at the grocery store. She goes to the deli counter and finds roast beef for $10.00 per pound and cheddar cheese for $11.25 per pound. She buys some of each and walks away with 1.5 pounds of meat and cheese costing a total of $16.25. How many pounds of each ingredient did Michelle buy? Michelle bought | pounds of roast beef and pounds of cheddar cheese.

Follow the steps for graphing a rational function to graph the function R(x)= If needed, first write the given function as a single rational expression. Then, factor the numerator and denominator of R(x). Select the correct choice below and, if necessary, fill in the answer box A. R(x)= B. R(x) cannot be factored further. What is the domain of R(x)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. {x1x² OB. {xx< (Type your answer in factored form. Do not simplify.) x+3 x(x + 7) } (Type an integer or a simplified fraction.) } (Type an integer or a simplified fraction.) C. {x|x -7,0} (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) D. The domain is the set of all real numbers. Write R(x) in lowest terms. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. R(x) = (Simplify your answer.) OB. R(x) is already in lowest terms. ****E

Determine whether the relation is a function. c={(8,4), (-4,-3), (2, 1), (5,-8)} - Is the relation a function? O No O Yes

Choi Home Repair needs to accumulate $24,000 in 6 years to purchase new equipment. What sinking fund payment (in $) would they need to make at the end of each three months, at 4% interest compounded quarterly? Use Table 12-1. (Round your answer to the nearest cent.) $

Julio invests $6100 in two different accounts. The first account paid 2 %, the second account paid 3 % in interest. At the end of the first year he had earned $150 in interest. How much was in each account? $ at 2% S at 3%

Jamil always throws loose change into a pencil holder on his desk and takes it out every two weeks. This time it is all nickels and dimes. There are 2 times as many dimes as nickels, and the value of the dimes is $0.90 more than the value of the nickels. How many nickels and dimes does Jamil have? O 6 nickels and 12 dimes O 7 nickels and 14 dimes O 5 nickels and 10 dimes O 12 nickels and 6 dimes

A pool is being filled and the water level of the pool is given by the function: L(h) = 1.5 +0.5h Where h = number of hours the pool has been filling L(h)= water level in the pool (feet) Find the missing value in the ordered pair described by the function notation and then choose the option that best describes the meaning of that ordered pair. L(2) means... and O The water level of the pool is 2 feet which happens after 2.5 hours of filling. O The water level of the pool is 2 feet which happens after 1 hour of filling. O After 2 hours of filling the water level the pool is 1 foot. O After 2 hours of filling the water level of the pool is 2.5 feet. O It will take a total of 2 hours to fill the pool.

A right triangle has an area of 44 square inches. The square of the hypotenuse is 185. Find the lengths of the legs of the triangle. Round your answer to the nearest inch. 4 inches and 22 inches O 16 inches and 5.5 inches 64 inches and 121 inches 8 inches and 11 inches

A bank loaned out $31,000, part of it at the rate of 9% annual interest, and the rest at 8% annual interest. The total interest earned for both loans was $2,620.00. How much was loaned at each rate? was loaned at 9% and was loaned at 8%. Question Help: Video Submit Question >

5. Stewart has to make a tessellation poster for his art class. His parallelogram ABCD is A(2, 3), B(3, 5), C(8,5), D(7, 3) is reflected across the y-axis. What will the new coordinates be on his project? A. A'(-2, 3), B'(-3, 5), C'(-8, 5), D'(-7, 3) B. A'(2, -3), B'(3, -5), C'(8,-5), D'(7, -3) C. A'(2, 3), B'(3, 5), C'(8, 5), D'(7,3) D. A'(-2,-3), B'(-3, -5), C'(-8, -5), D'(-7, -3)

A certain forest covers an area of 4300 km². Suppose that each year this area decreases by 6%. What will the area be after 10 years? Use the calculator provided and round your answer to the nearest square kilometer. 3 ?

1 Use the fact that the derivative of the function g(x)=√x is g'(x) = to find the equation of the tangent line to the graph of g(x) at the point x = 121 2√x S The equation of the tangent line is y= (Simplify your answer.) *****

The formula for finding the area of a trapezoid is A = a= top width, b is the bottom width and h is the height. Rearrange the formula to solve for the top width (a). Question Help: Video Message instructor (a + b) ₁ 2 Submit Question h, where A is the area, a is the

A farmer bought a number of pigs for $270. However, 7 of them died before he could sell the rest at a profit of 6 per pig. His total profit was $50. How many pigs did he originally buy? He originally bought Question Help: Video Submit Question pigs. Message instructor

the point where all three centroid medians meet the point where all three othocenter altitudes meet the point where all three circumcenter perpendicular bisectors meet a segment connecting the [Choose ] midpoint of the side of a triangle to the opposite angle a line/segment perpendicular to Choose]centroid/circumcenter/othocenter/ a side at the midpoint of that altitude/perpendicular bisector/median side a segment from a vertex perpendicular to the opposite [Choose ] side

Suppose that the cost C (in dollars) of removing p percent of the particulate pollution from the smokestacks of an industrial plant is given by C(p) = 6400p 100 - P (a) Is C(p) undefined at any p-value? If so, what value? (If an answer does not exist, enter DNE.) p= (b) What is the domain of C(p) as given by the equation? (Enter your answer using interval notation.) (c) What is the domain of C(p) in the context of the application? (Enter your answer using interval notation.) (d) What happens to the cost as the percent of pollution removed approaches 100%? The cost decreases without bound as p increases. The cost decreases (bounded by 0) as p increases. The cost increases (bounded by 6400) as p increases. The cost remains constant as p increases. The cost increases without bound as p increases. Need Help? Read It

Path A and Path B are walking paths used for horses. Path A is 118 feet long. Path B is 180 feet long. Carlos walks his horse down each path 3 times. Which path did Carlos use to walk his horse about 500 feet? Explain.

Graph the quadratic function f(x) = -3x² - 36x-96. Give the (a) vertex, (b) axis, (c) domain, and (d) range. Then determine (e) the largest open interval of the domain over which the function is increasing and (f) the largest open interval over which the function is decreasing. (a) The vertex is. .....

Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = ² (7x − 2), x≤ 3 - absolute maximum value absolute minimum value DNE local maximum value(s) local minimum value(s)

Which type of asymptote will never intersect the graph of a rational function? Choose the correct answer below. O horizontal O oblique vertical all of these

The five number summary of a dataset was found to be: 1, 2, 9, 17, 19 An observation is considered an outlier if it is below: An observation is considered an outlier if it is above: Question Help: Video Post to forum Calculator Submit Question

The force applied (F) to a wrench is directly related to the torque (T) of the wrench. If the torque of a wrench is 9 N m when the force on the wrench is 27 N, find the torque of the wrench when the force on the wrench is 18N.

If 135 people attend a concert and tickets for adults cost $3.75 while tickets for children cost $3 and total receipts for the concert was $448.25, how many of each went to the concert? adults children

Which phrases are used to describe a two-tail test? (Select all that apply.) O is greater than is less than is not the same as is smaller than O is bigger than is shorter than O is longer than is different from is decreased from is increased from has changed from is above is below is not equal to

Analyze the polynomial function f(x)= x²(x-8) using parts (a) through (h) below. (a) Determine the end behavior of the graph of the function. The graph of f behaves like y= for large values of |x|.

Type "oo" (two lower case o's as in octopus) for oo if there are infinite solutions (all real numbers). Type "DNE" (Does Not Exist) if there is no solution. -5(5-2) + 3 = -25z + 14 7(62-3) +9= 42z - 12

A buoy floating in the ocean is bobbing in simple harmonic motion with amplitude 4 ft and period 7 seconds. Its displacement d from sea level at time 1 = 0 seconds is 0 ft, and initially it moves upward. (Note that upward is the positive direction.) Give the equation modeling the displacement d as a function of time t.

Maria invests a total of $27,500 in two accounts. The first account earned a rate of return of 14% (after a year). However, the second account suffered a 3% loss in the same time period. At the end of one year, the total amount of money gained was $1,045.00. How much was invested into each account?

The volume of a gas varies inversely as the pressure upon it. The volume of a gas is 100 cm³ under a pressure of 64 kg/2. What will be its volume under a pressure of 40 kg/cm²? cm³ Question Help: Video Message instructor Submit Question