Basic Math Questions and Answers

Devon takes out a loan of $1,500, at 4% simple interest, for 59 months. What is the maturity value of the loan? (Round to the nearest cent.) 2 O $1,426.63 $1,567.50 $1,831.88 O $2,208.00

Use the compound interest formulas A = P1+ = P(₁+1) Find the accumulated value of an investment of $10,000 for 6 years at an interest rate of 4.5% if the money is a. compounded semiannually; b. compounded quarterly; c. compounded monthly; d. compounded continuously. nt rt and A=Pe to solve the problem given. Round answers to the nearest cent. .…...

Use De Morgan's Laws to write the negation of the following statement: "Either the Packers or the Broncos will win the Super Bowl." O The Packers will not win the Super Bowl, and the Broncos will win the Super Bowl. O Either the Broncos will win the Super Bowl, or the Packers will not win the Super Bowl. O Either the Packers will not win the Super Bowl, or the Broncos will not win the Super Bowl. O Either the Packers will win the Super Bowl, or the Broncos will not win the Super Bowl. O The Packers will not win the Super Bowl, and the Broncos will not win the Super Bowl.

In the diagram below, the vertices of ADEF are the midpoints of the sides of the equilateral triangle ABC, and the perimeter of AABC is 36 cm. What is the length, in centimeters, of EF? 1) 6 2) 12 3) 18 4) 4

Write an equation that represents the relationship between the number of T-shirts ordered, the number of colors on the shirts, and the total cost of the order. If you use a variable, specify what it represents.

A projectile is released from (0,0) with an initial speed of 50 m/s at an elevation angle of 60 degrees. Assume, for ease of calculation, that the acceleration due to gravity is 10 m/s². (a). Find the position and velocity functions of the projectile. (b). At what times is the projectile at a height three quarters of its maximum height?

Error Analysis Your friend says that the surface area of the prism is 198 square units. Use a net to find the correct surface area. What mistake might your friend have made? The surface area of the prism is square units. 16 5 3 (The figure is not to scale.)

Find the value of k such that (x + 2) is a factor of Justify your choice for k by showing all of your work. Answer in paper f(x) = x³ + 5x² + 3x + 7k Previous Page Next Page

Determine the simple interest. (Assume 360 days in a year.) p= $658, r=0.046% per day, t = 3 months The simple interest on $658 at 0.046% per day for 3 months is $

The approximate areas of Utah and Puerto Rico are listed below: Utah: 2.2 x 105 square kilometers Puerto Rico: 5.33 × 103 square kilometers What's the difference between the areas of the two states? Express your answer using scientific notation. Answer: ×10 square kilometers Submit Answer

Perimeter of a Plot of Land The perimeter of a triangular plot of land is 2400 ft. The longest side is 200 ft less than twice the shortest. The middle side is 200 ft less than the longest side. Find the lengths of the three sides of the triangular plot.

A vacuum cleaner dealership sold 460 units in 2011 and 429 units in 2012. Find the percent increase or decrease in the number of units sold. The number of units sold by about%. (Round to one decimal place as needed.)

Suppose that you invest $5,000 at 6% interest, compound quarterly, for 5 years. use Table 11-1 to calculate the compound interest (in $) on your investment.

Verify that the equation is an identity. csc ß cot ß =sec ß ** To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. csc ß cot B

LM has the endpoints L at -5 and M at 9. To find the point x so that x divides the directed line segment LM in a 2:3 ratio, use the formula x = [(x₂-x₁) + x₁. (9-(-5)) + (-5) X= X= a +

Consider the following functions. x+2 3 Step 1 of 2: Find the formula for (fog)(x) and simplify your answer. Then find the domain for (f. g)(x). Round your answer to two decimal places, if necessary. f(x) = √√x+2 and g(x) = Answer (f. g)(x) = Domain = Keypad Keyboard Shortcut-

Suppose you take out a loan for 160 days in the amount of $14,000 at 7% ordinary interest. After 30 days, you make a partial payment of $1,500. After another 60 days, you make a second partial payment of $4,000. What is the final amount (in $) due on the loan? (Round your answer to the nearest cent.)

Determine, without graphing, whether the given quadratic function has a maximum value or a minimum value and then find the value. f(x) = 4x²-16x +3 The quadratic function has a value

Use De Morgan's Laws to write a statement that is equivalent to the following statement: "It is not true that North Dakota and East Dakota are both states." Either North Dakota is not a state, or East Dakota is not a state. North Dakota is not a state, and East Dakota is not a state. Either North Dakota is a state, or East Dakota is not a state. Either East Dakota is a state, or North Dakota is not a state. North Dakota is not a state, and East Dakota is a state.

Aisha's office had already recycled 6 kilograms this year before starting the new recycling plan, and the new plan will have the office recycling 1 kilogram of paper each week. How many weeks will it take Aisha's office to recycle a total of 50 kilograms of paper? weeks

Assume that the data can be modeled by a straight line and that the trend continues indefinitely. Use two data points to find such a line and then answer the question. Suppose a baseball is thrown at 89 miles per hour. The ball will travel 338 feet when hit by a bat swung at 47 miles per hour and will travel 474 feet when hit by a bat swung at 81 miles per hour. Let y be the number of feet traveled by the ball when hit by a bat swung at x miles per hour. How much farther will a ball travel for each mile-per-hour increase in the speed of the bat? A ball will travel (Type a whole number) feet farther for each mile-per-hour increase in the speed of the bat.

A man purchased a used car for $4000. He decided to sell the car for 30% above his purchase price. He could not sell the car so he reduced his asking price by 30%. If he sells the car at the reduced price, will he have a profit or a loss or will he break even? Select the correct choice below and fill in any answer box to complete your answer. OA. The man will have a loss of $ B. The man will have a profit of $ OC. The man will break even.

a) What is the tax on the Leeseburgs' dinner? b) If the Leeseburgs decide to tip 20% of the pre-tax bill, how much is the tip? c) What is the total cost of the dinner including the tax and tip? According to the Original Tipping Page, www.tipping.org, it is appropriate to tip waiters and waitresses 15%-20% of the pre-tax restaurant bill. The Leeseburgs' dinner costs $49.00 before tax, and the tax rate is 6%. a) The amount of tax paid is $ (Round to the nearest cent as needed.) Points: 0 of 1 ***** Save

Ethan and Leo start riding their bikes at the opposite ends of a 65-mile bike path. After Ethan has ridden 1.5 hours and Leo has ridden 2 hours, they meet on the path. Ethan's speed is 6 miles per hour faster than Leo's speed. Find the speed of the two bikers. Provide your answer below: Ethan's speed=mph, Leo's speed= mph

Use the ordinary interest method to find the rate of interest that Valley Mountain Vineyards pays on a loan of $5,300 for 236 days, if the amount of interest is $355.67. (Round to nearest tenth percent.) O 4.5% O 6.7% O 10.2% O 12.9%

Find any relative extrema of the function. (Round your answers to three decimal places.) f(x) = arctan(x) − arctan(x – 9) relative maximum (x, y) = (4.5,154.942

Fake Twitter followers: Many celebrities and public figures have Twitter accounts with large numbers of followers. However, some of these followers are fake, resulting from accounts generated by spamming computers. In a sample of 62 twitter audits, the mean percentage of fake followers was 14.4 with a standard deviation of 10.4. Part 1 of 2 Construct a 98% interval for the mean percentage of fake Twitter followers. Round the answers to one decimal place. A 98% confidence interval for the mean percentage of fake Twitter followers is 11.245 << 17.555 Part: 1/2 Part 2 of 2 Based on the confidence interval, is it reasonable that the mean percentage of fake Twitter followers is less than 11? reasonable that the mean percentage of fake Twitter followers is less than 11, It Choose one) is is not X

Different levels: Bertha and Nico are going to construct confidence intervals from the same simple random sample. Bertha's confidence interval will have level 99%, and Nico's will have level 95%. Part 1 of 2 (a) Which confidence interval will have the larger margin of error? Or will they both be the same? Nico's Bertha's They will be about the same. Part: 1 / 2 Part 2 of 2 (b) which confidence interval is more likely to cover the population mean? Or are they both equally likely to do so? Nico's Ś O Bertha's They are both equally likely to do so. X

Ivan has a tree in his backyard. The tree grows 25 centimeters each year. Since the tree started growing, Ivan has trimmed 16 centimeters off its height. The goal for the tree's height is given by 25x-16>234, where x is the number of years the tree grows. Complete the parts below. (a) Solve the given inequality and graph the solution on the number line below.

16. After their boat capsized in the middle of Lake Tippecanoe, Acute Alice and Obtuse Ollie swam in opposite directions toward shore. Alice swam twice as fast as Ollie and, after 3 minutes, they were 1,125 feet apart. Find out how far each one swam by doing each of the following. a) If Ollie swam at the rate of x feet per minute, at what rate did Alice swim? b) Draw a diagram to represent the problem. c) Use the information in your diagram to write an equation. d) Solve the equation for x. e) How far did each one swim?

At the end of an advertising campaign, weekly sales declined according to the equation y = 13,000(5-0.05x) dollars, where x is the number of weeks after the end of the campaign. a. Determine the sales at the end of the ad campaign. b. Determine the sales 4 weeks after the end of the campaign. c. Does this model indicate that sales will eventually reach $0? a. The sales at the end of the campaign are $ (Round to the nearest cent as needed.)

narchitect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 300 feet of antique pickel fencing are to be used to enclose the arden, find the dimensions of the garden. hat is the length of the garden? he length of the garden is That is the width of the garden? he width of the garden is *****

Solve the following equations for x. Check your answers. a) 9x - x = -24 d) (x + 8) + x = 6 b) 2x - 11 = 7x e) 4(x - 1) = * = 11 c) 5(x - 3) = 25 f) 10(x + 2) = 2(x + 10

Solve the problem. 3) The function D(h) = 7e-0.4h can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after 12 hours?

The function f(x) = 2x + 3 is one-to-one. X+2 (a) Find its inverse and check your answer. (b) Find the domain and the range of f and f¯1. (a) f¹(x) = 3-2x X-2 (b) Find the domain of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer.) OA. The domain is {x|x≤}. (Type integers or fractions. Use a comma to separate answers as needed.) B. The domain is {xlx # - 2} (Type integers or fractions. Use a comma to separate answers as needed.) OC. The domain is {x|x>}. (Type integers or fractions. Use a comma to separate answers as needed.) ..... OD. The domain is the set of all real numbers. Find the range of f. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

4. Marnie conducted a survey of the cats in four shelters and wrote the following observations: 4 of the 18 cats in Shelter 1 were black 13 of the 24 cats in Shelter 2 were black 12 of the 20 cats in Shelter 3 were black 18 of the 25 cats in Shelter 4 were black Based on the survey, which shelter had the greatest percentage of black cats? (5 points) Shelter 1 Shelter 2 Shelter 3 Shelter 4

1. Charlie worked for a stone setting company this past summer. He earned $50 just for coming to work and an additional $30 every hour for each hour he worked. The linear function E(t) = 50+ 30t represents Charlie's earnings E as a function of time worked t (in hours).

A person earns $15,500 one year and gets a 5% raise in salary. What is the new salary? The new salary is $

What's the standard equation of the circle with the general equation x² + y² + 4x − 2y-20 = 0? 1) (x + 2)² + (y − 1)² = 25 2) (x - 2)² + (y + 1)² = 25 3) (x + 2)2 + (y- 1)² = 5 4) (x + 1)² + (y-2)² = 5

A new self-tanning lotion for everyday use is to be sold. First, an experimental lotion mixture is made by mixing 800 ounces of everyday moisturizing lotion worth $0.30 an ounce with self-tanning lotion worth $3 per ounce. If the experimental lotion is to cost $1.20 per ounce, how many ounces of the self- tanning lotion should be in the mixture?

Jefferson Bank made a loan at 7% interest for 236 days. If the amount of interest was $252.39, use the ordinary interest method to find the amount of principal (in $) borrowed. (Round your answer to the nearest dollar.)

k(t) = 10t - 19 k(-7)=[ Evaluate functions

Based on the 50/30/20 rule, Julia has needs of $2,600 per month, wants of $1,560 per month, and saves $1,040 per month. Which of the following is her after-tax income? $5,250 $5,200 $5,000 $5,500

Find the slope of the line that passes through (-4, 1) and (0, -5). Write your answer in simplest form. Select "Undefined" if applicable. The slope is 00 Undefined

Sonia wants to have $11,000 in 10 years. Use Table 11-2 to calculate how much she should invest now (in $) at 6% interest, compounded semiannually in order to reach this goal. (Round your answer to the nearest cent.) $

What is 18% of $70,000? $ is 18% of $70,000. (Type an integer or a decimal.)

Select all the situations for which only zero or positive solutions make sense. A. Measuring temperature in degrees Celsius at an Arctic outpost each day in January. B. The height of a candle as it burns over an hour. C. The elevation above sea level of a hiker descending into a canyon. D. The number of students remaining in school after 6:00 p.m. E. A bank account balance over a year. F. The temperature in degrees Fahrenheit of an oven used on a hot summer day.

Simplify without a Calculator log2(1/512) =

The length of a cell phone is 1.2 inches and the width is 4.6 inches. The company making the cell phone wants to make a new version whose length will be 1.74 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?

Fabiana is going to construct a rectangular metal box with a volume of 150 in³. Her box will have a length of x inches, a width of 3 inches less than its length, and a height that is 1 inch more than its length. Which cubic equation would help Fabiana find the length of the box? x²+x²-123-0 x-2x²-3x+150-0 x²³²-21-²-3x=0 x²-2x²-3x-150-0