Basic Math Questions and Answers

Saige invests $400 into an account with a 2.3% interest rate that is compounded semiannually. How much money will she have in this account if she keeps it for 5 years? Round your answer to the nearest dollar.

As Mercury revolves around the sun, it travels at a rate of approximately 30 miles per second. Convert this rate to kilometers per second. At this rate, how many kilometers will Mercury travel in 20 seconds? In your computations, assume that I mile is equal to 1.6 kilometers. Do not round your answers. Rate: Distance traveled in 20 seconds: km km

Select the correct function. In a finance company, there are two competing groups that are both vying for title of top earners. The first group's profits, in dollars, can be demonstrated by the following function, where x is the total number of hours the group works on a project. f(x) = -7.5x2 + 3,000 - 10,000 The second group's profits can be demonstrated by the following function, where x is the total number of hours the group works on a project. g(x) = -8.5x2 + 3,060* - 15,000 If both groups spend the same number of hours on a project, select the function which accurately represents the combined profits from both groups. h(x) = h(x) = g(x) + f(x) -16x2 + 6,060 - 25,000 h(x) = g(x) = f(x) h(x) - x2 60x + 5,000 h(x) h(x) = g(x) + f(x) - h(x) -16x2 + 60x - 25,000 h(x) = g(x) = f(x) = -x2 + 60x - 5,000

Use synthetic division to find the result when 3x3 - 10x² + 15x - 1 is divided by x + 2. Write your answer in the form q(x) + Provide your answer below: r(x) d(x)" where g(x) is the quotient, r(x) is the remainder, and d(x) is the divisor.

Approximate the following number using a calculator. 2)24 5 6.3 2.4 6.3 3(²)² = (Round to three decimal places as needed.) 5

Faith is saving money and plans on making monthly contributions into an account earning a monthly interest rate of 0.75%. If Faith would like to end up with $87, 000 after 7 years, how much does she need to contribute to the account every month, to the nearest dollar? Use the following formula to determine your answer. A = d ((1 + i)” - 1)/i) A = the future value of the account after n periods d = the amount invested at the end of each period i = the interest rate per period n = the number of periods

Use this table to find the monthly mortgage payments, when necessary. Roberto has a mortgage of $81,500 at 7 % for 20 years. Find the total interest. 7-1⁄2% 2 O $76,153.60 O $82,345.85 O $88,201.93 O $94,226.02

One pipe fills a storage pool in 12 hours. A second pipe fills the same pool in 6 hours. When a third pipe is added and all three are used to fill the pool, it takes only 3 hours. Find how long it takes the third pipe to do the job. The third pipe can fill the pool alone in hours. *****

If the side lengths of a cube are dilated from 9 yards to 42 yards, find the scale factor that relates the area of one face of the original cube to a face of the scaled cube. . Write your answer as a number only. • Round your answer to two decimal places if necessary.

What method of factoring should first be used? 7wx² +6w Greatest Common Factor Trinomial Factoring Difference of Perfect Squares Does Not Factor

The muzzle velocity for a certain cartridge is 1500 ft/s for the starting load of 40 grains of powder. What is the final load to achieve a muzzle velocity of 1642.8 ft's, if the increase in velocity is 42 ft/s for eachbadditional grain of powder? 3.4 grains 36.6 grains 43.4 grains 42 grains

The angle of elevation of the sun is 39° from the ground. A business building downtown is 76 m tall. How long is the shadow cast by the building? Round to one decimal place if necessary and do not include units in your answer.

The expression for ordering brushes for an art class is 4c-5, where c is the class limit. Evaluate the expression when the class limit is 21. When the class limit is 21, the expression evaluates to

Students in a mathematics class are calculating the dimensions of a local billboard. They know that the perimeter of the billboard is 130 feet, and that the length of the billboard is 5 feet longer than twice the width of the billboard. Which student has chosen the correct formula to use to solve this problem? *** Choose the correct answer below. Julio has decided that OA. 130=2x + 2(2x + 5) will give the correct values. OB. Delia has written 130= x + (2x + 5). OC. Samnong has written 130 = x(2x + 5) for his formula. O D. Joel has used the formula 130= 2x + 2(2x - 5).

A can of MtDew has a mean volume of 12 oz, with a standard deviation of 0.29 oz. (a) What percent of cans will have less than 11.42 oz of soda? (b) What percent of cans will have between 11.71 and 12.58 oz of soda? (c) What percent of MtDew cans will have more than 12 oz? (include percent signs in your answers)

We are given that in a survey of 400 Latin music downloads, 200 were regional, 110 were pop-rock, 80 were tropical, and 10 were urban. First, calculate the relative frequency that a music download was pop-rock. Recall that the formula for the relative frequency of an event E is obtained by dividing the frequency of event fr(E) E by the number of trials. That is, P(E) = N The number N represents the number of trials, so N = pop-rock downloads, so fr(E) = download was pop-rock. P(E): = || fr(E) N We are interested in the frequency of Use these values to calculate the relative frequency that a 400

Angelina received two discounts on a $50 pair of shoes. The discounts were taken off one after the other. Her first coupon was 20%. If she paid $30 for the shoes, what was the dollar amount taken off for the discount with the first coupon? Fill in the blank. She received a $ first coupon.* Your answer

Points X, Y, and Z are collinear with Y between X and Z. Use the following information to find the value of x; XY = 15 YZ = 2x XZ = 33 Show your work and explain the steps used to solve for the value of x.

Marcus and Tony work for Lombardo's Pipe and Concrete. Mr. Lombardo is preparing an estimate for a customer. He knows that Marcus lays a slab of concrete in 6 hours. Tony lays the same size slab in 4 hours. If both work on the job and the cost of labor is $43.00 per hour, decide what the labor estimate should be. The labor estimate should be $ ..…..

Consider the following. (Assume that the dice are distinguishable and that what is observed are the numbers that face up.) HINT [See Examples 1-3.] Two distinguishable dice are rolled; the numbers add to 6. Describe the sample space S of the experiment. (Select all that apply.) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (2,7) □ (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) □ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) O (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (1,7) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (3,7) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) (6,7) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (5,7) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (4,7) □ O List the elements of the given event. (Select all that apply.) (5,6) (6,5) (3,1) (2,2) (1,3) (5,1) (4,2) (3,3) (6,6) (1,1) (6,3) (5,4) (4,5) (3,6) □ (6,4) (5,5) (4,6) (5,1) (4,2) (3,3) (2,4) (1,5) □ (1,2) (2,1)

Triangle A has side lengths of 14 in, 12 in, and 6 in. Triangle B has side lengths of 7 in, 6 in, and 3 in. Which shows the proportions written correctly? O 14 7 O 14 6 = = 3 12 6 O 14 6 01/21 - 9 - 19/0 3 12 7/2²/2= 12-14-5 6 6

Two people deliver menus around the neighborhood for a new restaurant that just opened, with the person who delivers more receiving a $100 bonus. Melissa delivers 525 menus in three hours, and Carlos delivers 340 menus in two hours. Who gets the bonus?

A data survey representative calls phone numbers selected at random until someone answers the call. Each call has a 0.22 probability of someone answering it. Let N be the number of phone numbers the representative calls until someone answers. What type of variable is N? Choose 1 answer: (C) Binomial Geometric Neither

Kristen's financial advisor has given her a list of 12 potential investments and has asked her to select and rank her favorite four. In how many different ways can she do this? There are different ways Kristen can rank the four investments. (Type a whole number.)

George's family is on a road trip. After driving for a while, they stopped for gas, and then traveled 58 more miles before they decided to stop for lunch. After lunch, they tripled their distance traveled before stopping for the night. Their total distance traveled that day was 381 miles. How many miles had they traveled before their first stop for gas? Enter your answer as a simplified mixed number in the box mi

Español A parachutist's rate during a free fall reaches 264 feet per second. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 15 seconds of free fall? In your computations, assume that I meter is equal to 3.3 feet. Do not round your answers. Rate: Distance fallen in 15 seconds: m X 5 ?

In a recent international sport competition, the top three countries-Country A, Country B, and Country C-won a total of 120 medals. Country B won 10 more medals than Country C. Country A won 36 more medals than the total amount won by the other two. How many medals did each of the top three countries win? Country A won medals. Country B won medals. Country C won

Find the total amount a college student has in a savings account if $2,000 was invested and earned 4% compounded quarterly for 9 years. Use A = P 1+- The amount after 9 years will be $ (Do not round until the final answer. Then round to the nearest cent as needed.) ..... nt

In 2011, the population of a district was 31,600. With a continuous annual growth rate of approximately 2%, what will the population be in 2021 according to the exponential growth function? Round the answer to the nearest whole number. Provide your answer below:

1 point The density of copper is 8.963. If the mass of a copper plate as determined by a digital scale is 28.672 grams, what is the volume of the plate in cubic centimeters? Round to the nearest tenth. The volume of the copper plate is type your answer... cubic centimeters

In 2010, Spokane County in Washington state had a population of 471,221 with an area of 1764 square miles. Rounded to the nearest hundredth, what was Spokane County's population density in 2010? The population density for Spokane County in 2010 was type your answer...

y Henry has run 20 miles so far this week. If he intends to run more than 50 miles this week, write an inequality showing how many miles on average should he run on each of the 2 days remaining in the week? a) 20+ 2x ≤ 50 c) 20+ 2x > 50 b) 20-2x ≤ 50 d) 20-2x<50

Trey bought 2 pounds of mixed nuts to serve at a party. According to the packaging, 15% of the mixed nuts, by weight, are cashews. Trey wants to add cashews to the mix to increase the percentage to 25%. Which equation can be used to find the number of pounds of cashews Trey should add to the mix? A. 0.15(2 + x) = 0.25 + X B. 0.25(2 + x) = 0.3 + x C. 0.15(2 + x) = 0.25 D. 2(0.15 + x) = 0.25

The orbit of an asteroid is an ellipse with the Sun as a focus. If the center of the ellipse is at the origin, an approximate equation for the orbit is shown below, where x and y are measured in millions of miles. Find the largest possible distance across the ellipse. x²/5309 + y/4933 = 1 million miles (Simplify your answer. Round to the nearest million miles as needed.)

At Isaiah's Pancake House there are 66 dirty coffee mugs and 9 clean coffee mugs. What percentage of the coffee mugs at the pancake house are dirty? Write your answer using a percent sign (%).

If you were doing online research about the eating habits of groundhogs, what would be the BEST phrase to type into a search engine in order to get the most focused results? O groundhog habits B O groundhog diet O groundhog behavior a O groundhog habitat =

For part a, use the continuous compound interest formula, A(t) = Pet Suppose an investment account is opened with an initial deposit of $13,500.00 earning 7.1% interest compounded continuously. (Use the "$" symbol in your answers. Round to the nearest cent, if necessary.) a. How much will the account be worth after 15 years? b. How much will the account be worth after 15 years if it were compounded monthly instead?

Hooke's Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. If a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

. Quadrilateral ABCD has vertices A(-1, -2), B(-1, 3), C(4, 3) and D(4, -2). It's dilated by a factor of 2 with the center of dilation at the origin. What are the coordinates of the resulting quadrilateral A'B'C'D"?

Avram borrows $14,500 at 5.4% simple interest to open a small business. His bank allows him 9 years to pay back the loan. A. How much simple interest will Avram have to pay on the loan? B. How much money will Avram have to repay in all?

At the start of the the day, Ben and Carla had a certain number of paper clips in each of their pencil cases. Together, they had a combined total of 40 paper clips. Ben used 5 paper clips before lunch, and Carla used 5 paper clips after lunch. The product of the number of paper clips they each have left in their pencil cases at the end of the day is no more than 216. Write an inequality where b represents the number of paper clips Ben had at the start of the day. If Ben has more paper clips than Carla, how many paper clips does Ben have? b²-45b+416 20 Ben has at least 13 paper clips. b²-45b+416 ≥0 Ben has at least 32 paper clips. b²-40b+391 ≥ 0 Ben has at least 17 paper clips. b²-40b+391 20 Ben has at least 23 paper clips.

Evaluate the following expressions. 2 8 3³ = (Type an integer or a simplified fraction.) 4-2-

A bag contains 2.5 pounds of sugar. A bigger bag contains 2.6 times as much sugar. What is the weight of the sugar in the bigger bag? A 4.1 pounds because 2.5 + 2.6 = 4.1 B. 7 pounds because 2.5 x 2.6 = 7.0 c. 6.5 pounds because 2.5 x 2.6 = 6.5 D. 5.1 pounds because 2.5 + 2.6 = 5.1

The sides of a rhombus have length 19 m. The longer diagonal has length 37 m. Find the area of the rhombus. . Write your answer as a number only. . Round answer to the nearest tenth (one decimal place) if needed.

x² Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by 400 Round your answer to the nearest whole number. 100 meters 50 meters 48 meters 40 meters (y-110²2 = 1, where the measurements are in meters. What is the width of the cooling tower at the base of the structure? 2,304

If a = i and b = -x, then find the value of ab² in fully simplified form.

Homework: Section 12.3 Homework An unusually wet spring has caused the size of a mosquito population in some city to increase by 9% each day. If an estimated 190,000 mosquitoes are in the city on May 8, find how many mosquitoes will inhabit the city on May 25. Use y = 190,000(1.09) where x is number of days since May 8 On May 25 there will be approximately mosquitoes. (Round to the nearest thousand as needed)

4. CONSTRUCTION A builder is hired to increase the size of a square patio by adding 2 feet along its width and 3 feet along its length. The new area of the patio will be 110 square feet. What are the new dimensions of the patio?

A holiday toy drive is putting together baskets for children. There are 84 toys and 56 books. If each basket will receive the same number of toys and books, how many baskets can be made?

The senior class is designing a graduation t-shirt. The t-shirt printing company charges a $120 printing fee plus an additional $10 per shirt. Since students will also have to help cover the printing fee, the t-shirts will be sold in advance and include a portion of the additional fee. Which graph correctly models the average cost per student when x students order a t-shirt?