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MATH SOLVE
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You invest $600 an an annual rate of 7% for fifteen years. How much more interest would you earn in year 11 with compound vs. Simple interest and for the whole 15 years?
General
2 months ago
Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.
General
2 months ago
Find the critical points of the following function. Use the Second Derivative Test to determine (if possible) whether each critical point corresponds to a local maximum, local minimum, or saddle point. If the Second Derivative Test is inconclusive, determine the behavior of the function at the critical points. f(x,y)=−8x2+6y2−14
General
2 months ago
The following measurements (in picocuries per liter) were recorded by a set of helium gas detectors installed in a waste disposal facility: 534.9, 495.3, 556.2, 499.2, 487.4, 557.2 Using these measurements, construct a 90% confidence interval for the mean level of helium gas present in the facility. Assume the population is approximately normal.Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
General
2 months ago
Consider two data sets. Set A: n = 5; x = 10 Set B: n = 50; x = 10 (a) Suppose the number 39 is included as an additional data value in Set A. Compute x for the new data set. Hint: x = nx. To compute x for the new data set, add 39 to x of the original data set and divide by 6. (b) Suppose the number 39 is included as an additional data value in Set B. Compute x for the new data set. (c) Why does the addition of the number 39 to each data set change the mean for Set A more than it does for Set B?
General
2 months ago
A person is ordered by doctor to take 22 units of vitamin A, 18 units of vitamin D, and 11 units of vitamin E each day. There are three brands of vitamin supplement available: brand X contains 2, 1, and 2 units, brand Y contains 3, 2, and 2 units and brand Z contains 4, 4, and 1 units of vitamin A, D, and E, respectively. How many pills of each brand will provide the required amounts of vitamin? ___ pills of brand X, ___ pills of brand Y and ___ pills of brand Z.
General
2 months ago
A pharmaceutical company decided to manufacture new food supplement pills. It will need to add some vitamins to the mix. It decides on two vitamin mixes: Vitamin mix 1 and Vitamin mix 2. Vitamin mix 1 costs $40 and will contain 2 units of vitamin B and 5 units of vitamin C. Vitamin mix 2 costs 35 USD and will contain 2 units of vitamin B and 3 units of vitamin C. For nutritional reasons, both mixes have to contain at least 12 units of vitamin B and 15 of vitamin C. Formulate a linear programing model based on the given data.
General
2 months ago
A student scores 83, 90, and 85 on the first three science tests of the year in order to have a test average of at least 87, the minimum score the student needs to get on the fourth test
General
2 months ago
Pew Research Center conducted a poll in January 2018 asking people "How much help does the federal government provide to elderly people? Not enough, about the right amount, or too much?". The study attempted to contact 1750 people using random-digit-dialing, but was only able to collect responses from 1503. Pew Research Center notes that these results should only be generalized to US adults with telephones. Do you agree or disagree with that statement?(A) Disagree. This survey suffers from selection bias.(B) Agree. This is an unbiased sampling method and therefore generalizes to the population of interest.(C) Disagree. This survey suffers from response bias.(D) Disagree. This survey suffers from non-response bias.
General
2 months ago
The sum of two vectors of fixed magnitudes has its minimum magnitude when the angle between these vectors is
General
2 months ago
Suppose a bag of marbles contains five green marbles, three blue marbles, six yellow marbles, and four white marbles. Maria shakes up the bad to mix the marbles and then draws one marble out of the bag. What is the probability that the marble Maria draws is:
General
2 months ago
A researcher wishes to estimate the number of households with two cars. How large a sample is needed in order to be 99% confident that the sample proportion will not differ from the true proportion by more than 3%? A previous study indicates that the proportion of households with two cars is 25%.A) 4 B) 1132 C) 1842 D) 1382
General
2 months ago
The drama group has 90 minutes to practice two scenes.They want to practice the pirate scene 4 times,and each time takes 13 minutes. The mermaid scene takes 7 minutes.How many full times can the group practice the mermaid scene?
General
2 months ago
The distance between 2 cell towers is 42 miles. From the western cell tower, a phone signal is 20 degrees north of east and is 48 miles away, how far is this cell phone from the eastern cell tower?
General
2 months ago
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
General
2 months ago
What is the equation of the line in standard form? x−2y=4 x + 2y = 4 2x−y=2 2x + y = 2
General
2 months ago
What is the solution of the equation?4q + 4 = 20A) q = 4B) q = 6C) q = 16 D) q = 24
General
2 months ago
22. The circumference of the circle below is108 meters. If the interior angle n is 60°,what is the length in meters of arc AB?F) 5G) 9H) 11J) 12K) 18
General
2 months ago
Dominic has math and reading homework tonight. Dominic can solve each math problem in 5 minutes and he can read each page in 3 minutes. The number of pages Dominic read is twice the number of math problems he solved. and it took him 88 minutes to complete all of his homework. Determine the number of math problems Dominic solved and the number of pages he read.
General
2 months ago
What is the relationship between the standard deviation and the precision of a procedure? there is no relationship between standard deviation and precision the larger the standard deviation, the greater the precision the smaller the standard deviation, the greater the precision What is the relationship between the standard deviation and the accuracy of a procedure? the larger the standard deviation, the greater the accuracy the smaller the standard deviation, the greater the accuracy there is no relationship between standard deviation and accuracy
General
2 months ago
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