Basic Math Questions and Answers

John has a credit card with an APR of 23.95% and a current balance of $12,650.35. He wants to pay it off in 3 years. What will John's monthly payment be? (Remember a credit card is compounded monthly.) Round to the nearest dollar.

A biologist wants to know the width w of a river to properly set instruments for an experiment. From point A, the biologist walks downstream 100 feet and sights to point C (see figure). From this sighting, it is determined that θ = 47°. How wide is the river? (Round your answer to one decimal place.

In Circle O, LAC is a central angle and mzAC = 132°. If Q represents the area of Circle O, write an expression that represents the area of the sector formed by ZAC, in terms of Q. 11/60 Q 6Q 11/30 Q 60/11 Q

Carly wants to invest $1000 in an account that earns 6.2% interest, compounded quarterly. How many years will it take for he account to have a value of $5000? Round to the nearest whole number

Lee has collected the cost and sale price of five food items from a supermarket. Cost (in $) 10 25 14 25 Sale Price (in $) 14.5 Yes 32 17 29 21 25 Is there any valid causation among the given data? No Cannot be determined Yes

In past years, the proportion of engineering students at the local college who did not own a calculator was 0.15. Angelina believes the proportion of current population of engineering students who do not own a calculator is lower. She randomly selects 55 students and finds that 0.05 and calculates a p-6 of them do not own a calculator. She uses a significance level of a - value of 0.198. What null and alternative hypothesis did Angelina use for this test, and what conclusion can she make? Note: The item below has been reviewed and is scheduled to be updated. All students will receive full credit for any response to the following. (1 point) H0: p=15 He: p > 15 Angelina fails to reject the null hypothesis because the p-value is greater than the significance level. H0: p=0.15 He: p<0.15 Angelina rejects the null hypothesis because the p-value is greater than the significance level. H0: p=15 He: p<0.15 Angelina fails to reject the null hypothesis because the p-value is greater than the significance level. H0: µ= 0.15 He: µ<0.15

How much would you have to deposit in an account that pays an interest rate of 4.6% compounded monthly, if at the end of 10 years you want $8500 in the account? Use the TMV calculator to fill in the tal N 1% PV PMT 0 FV P/Y 12 CIY

Evaluate the series. 5 Σ (71+1) i=1 5 Σ(7i+1)= i=1

On Melissa's 6th birthday, she gets a $4000 CD that earns 5% interest, compounded semiannually. If the CD matures on her 12th birthday, how much money will be available? The amount available will be (Simplify your answer. Round to the nearest cent.)

Evaluate the series. 7 Σ(-1)) j=1 7 Σ(-1)= j=1

A recent survey of 18 randomly selected social networking sites has a mean of 11.5 million visitors for a specific month. The standard deviation is 4.58 million. Find the lower bound limit of the 99% confidence interval of the true mean. Round your answer to 3 decimal places.

Data set 14 "Oscar Winner Age " in Appendix B lists ages of actresses when they won Oscars, and the summary statistics are n=87, x= 36.2 years, and s=11.5 years. Use a 0.01 significance level to test the claim that the mean age of actresses when they win Oscars is greater than 30 years.

The standard deviation of SAT scores is 126 points. A researcher decides to take a sample of 600 students' scores to estimate the mean score of students in your state. What is the standard deviation of the sample mean?

The Great Pyramid of Giza, located in Egypt, is one of the Seven Wonders of the Ancient World. The length of one side of its square base is 440 cubits (an ancient unit of length). The Pyramid was 280 cubits tall when it was constructed over 4000 years ago. Which of the following values most closely represents the volume of the Great Pyramid when it was first built? A. 16,800,000 cubic cubits B. 18,100,000 cubic cubits C. 34,500,000 cubic cubits D. 54,200,000 cubic cubits

Which of the following statements on the central limit theorem is true? A) if the sample size increases then the sampling distribution much approach an exponential distribution B. if the sample size increases sampling distribution must approach a normal distribution C. if the sample size decreases then the sample distribution must approach a normal distribution D if the sample size decreases then the sampling distribution much approach an exponential distribution

Find the surface area of a square pyramid whose side length of the base is 9 cm and has a slant height of 6 cm. A. 254 cm² B. 142 cm² C. 189 cm²

The gas tank of a 2014 Dodge Charger holds 19.1 gallons. How many pounds of carbon dioxide are produced by burning an entire tank of gas? Express your answer rounded to the nearest tenth of a pound.

Find a counterexample to the statement. The sum of two different prime numbers is always prime.

The company has a $150,000 liability at December 31, 2021, of which $30,000 of it is payable in 2022. In its December 31, 2021 balance sheet, the company reports the $150,000 debt as a: $30,000 current liability and a $120.000 long-term liability in the balance sheet. $150,000 current liability in the balance sheet. $150,000 long-term liability in the balance sheet. $120,000 current liability and a $30,000 long-term liability in the balance sheet.

Write the first five terms of the sequence. an=(1/2)n(3n-2) a₁ = (Type an integer or a simplified fraction.)

According to http://www.thehcf.org/antiidlingprimer.html, Americans waste approximately 3.8 million gallons of gasoline each day by voluntarily idling their cars. How many pounds of carbon dioxide does this produce daily? Express your answer rounded to the nearest tenth of a million pounds of carbon dioxide. million lb of CO₂

A sample of 15 measurements of the breaking strengths of cotton threads gave a mean of 7.3 oz and a standard deviation of 2.82 oz. Find an upper bound 95% confidence limits for the actual mean breaking strength.

A 95% confidence interval estimate for the difference between two population means, 12000, is determined to be (62.75, 68.52.) If the confidence level is reduced to 90%, the confidence interval (A) insufficient information (B) becomes narrower (C) becomes wider (D) remains the same

Which is an example of an experiment? A company asks its website users to rate its new features to navigate the site. Researchers working for a company test their new sneaker design to see if it helps athletes run faster. A scientist watches a group of local birds to see what type of tree they prefer to make their nests in. An ice cream company asks people to identify their top three ice cream flavors.

For the rotation 1409°, find the coterminal angle from 0° 0 < 360°, the quadrant and the reference angle. The coterminal angle is __° which lies in Quadrant __ with a reference angle of __ °

Give a geometric description of the following set of points. x² + y² +2²-12x+8y-10z+61 = 0 Select the correct choice below and fill in the answer boxes within your choice. (Simplify your answers.) A. A sphere centered at (__,__,__) with radius __ B. The exterior of a ball centered at (__,__,__) with radius __ C. A ball centered at ;(__,__,__) with radius __

The Central Limit Theorem says that the mean of the sampling distribution of the sample means is A) exactly equal to the population mean. B) equal to the population mean divided by the square root of the sample size. C)close to the population mean if the sample size is small D)close to the population mean if the sample size is large.

Call a metric space sequentially compact if every sequence has a convergent subsequence. Prove that a metric space is sequentially compact if and only if every infinite subset has a cluster point.

Which statements are true about the fully simplified product of (b-2c)(-3b+c)? Select two options. The simplified product has 2 terms. The simplified product has 4 terms. The simplified product has a degree of 2. The simplified product has a degree of 4. The simplified product, in standard form, has exactly 2 negative terms.

Jeffrey wanted to purchase a high quality music player that was in the middle of the price range. The price ranges are $79.99, $210.99, $109.99, $69.99, $325, $100.99, and $75.00. Identify the cost of the music player he selected. Median: $109.99 Median: $79.99 Median: $100.99

A bank auditor claims credit card balances are normally distributed, with a mean of $3,500 and a standard deviation of $1,250. A random sample of 25 individuals is taken. What is the probability that the mean of the credit cards is greater than $4,100?

Consider the following pattern. 2◊6=12 22◊6=132 222◊6=1332 2222◊6=13332 Predict the result of 222222◊6.

A boy owns 2 pairs of pants, 6 shirts, 2 ties, and 8 jackets. How many different outfits can he wear to school if he must wear one of each item? He can wear __________ different outfits.

A couple needs $50,000 as a down payment for a home. If they invest the $35,000 they have at 12% compounded quarterly, how long will it take for the money to grow to $50,000? (Round your answer to the nearest whole number.)

Drew is planting grass. The lawn is a rectangle that measures 120 feet by 75 feet. Drew uses 1 pound of grass seed for every 200 square feet. How much grass seed does Drew use. A. 195 pounds B. 90 pounds C. 45 pounds D. 390 pounds

The population of a southern city follows the exponential law. Use this information to answer parts a and b. (a) If N is the population of the city and t is the time in years, express N as a function of t. N(t) = Noekt (Type an expression using t as the variable and in terms of e.) (b) If the population doubled in size over 24 months and the current population is 60,000, what will the population be 3 years from now? The population will be approximately __ people. (Do not round until the final answer. Then round to the nearest whole number as needed.)

Find the future value of an ordinary annuity of $4,000 paid quarterly for 5 years, if the interest rate is 7%, compounded quarterly. (Round your answer to the nearest cent.)

Find a counterexample to the statement. The sum of a negative number and a positive number will always be negative.

The surface area of a cubical box is 121.5 square feet. Find the length of the base. 4.5 ft 3.75 ft 3.5 ft

Suppose you want deposit $200 each month into an account earning 3.5 % APR compounded monthly. a) Write an equation to find how many years N it will take to save $12,000? b) How many years will it take to save $12,000? Round to two decimals.

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the population proportion. You would like to be 99% confident that you esimate is within 2.5% of the true population proportion. How large of a sample size is required? n =

Identify the leading question. How much would you be willing to pay for a new living room furniture set? During what time of day are you most likely to watch TV? How interested would you be in purchasing a blue car? How much did you enjoy your great experience at our waterpark?

There are 232 people going on the fourth grade field trip. They are taking 4 busses. If each bus has an equal amount of passengers, how many passengers will be on each bus? A. 58 people B. 135 people C. 223 people D. 928 people

Which is an important aspect of a randomized survey's design? The survey should always contain at least 5 questions. Each survey question should have at most 3 choices. The survey participants should be randomly selected. The survey should have questions for multiple populations.

During a chemical reaction chemical A is turned into chemical B at a rate that is proportional to the square root of the amount of chemical A. Which equation describes the correct differential equation to model the rate of change in chemical A? dA/dt=k/ k√A dA/dt=k√A dA/dt=k/A² dA/dt = kA²

An A-frame house overlooking the Pacific ocean has windows entirely covering one end. If the roof intersects at a 66° angle and the roof is 28 feet long from peak to ground, how much area do the windows cover? Round to the nearest hundredth.

Write these decimals as fractions in lowest terms and determine the prime factorization of the denominator in each case. (a) 0.468 (b) 0.045 (a) Write 0.468 as a fraction in lowest terms. 0.468 =

A vector with magnitude 9 points in a direction 265 degrees counterclockwise from the positive x axis. Write the vector in component form. Vector:

8] Ophelia Payne is walking to her office building which she knows is 150 ft high. The angle to the top of the building from her current location is 6 degrees. How much further does she need to walk?

What is the compound interest if $46,000 is invested for 5 years at 6% compounded continuously? (Round your answer to the nearest cent.) You found the total, not the interest.