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Radius of circle O has a slope of 2.5. What is the slope of the line tangent to circle O at point A?A. 0.8B. 2.5C. -0.4D. -5
General
4 months ago
Jack has $500 to invest. The bank offers an interest rate of 6% compounded annually. How much money will Jack haveafter 1 year? 2 years? 5 years? 10 years?
General
4 months ago
A rare coin appreciates at a rate of 5.2% a year. If the initial value of the coin is $500, after how many years will itsvalue cross the $3,000 mark? Show the formula that models the value of the coin after t years.
General
4 months ago
1. Lucy has a jewelry business. To make a certain necklace, she spends $3.38 on materials and $5.57 on labor. She then sells the necklace for $15.99. Lucy’s profit on the necklace is equal to the sale price minus the cost of materials and labor.(a) How much profit does Lucy earn when she sells a necklace? What fraction of the sale price of the necklace is profit? Record your answer as a fraction using whole numbers.(b) What decimal of every dollar of the sale price of the necklace is profit? Show your work. Round your answer to the nearest hundredth.(c) Lucy collected $223.86 selling necklaces at a craft fair. How many necklaces did Lucy sell? How much profit did she earn? Show your work.
General
4 months ago
I NEED HELP-7- (-6)Explain how you could use a number line to find the difference.What is the difference?
General
4 months ago
A local college has increased its number of graduates by a factor of 1.045 over the previous year for every year since1999. In 1999, 924 students graduated. What explicit formula models this situation? Approximately how manystudents will graduate in 2014?
General
4 months ago
A three-bedroom house in Burbville sold for $190,000. If housing prices are expected to increase 1.8% annually inthat town, write an explicit formula that models the price of the house in tt years. Find the price of the house in 5years.
General
4 months ago
A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed. Find a 99% confidence interval for the mean yield when the new catalyst is used.
General
4 months ago
4x - 3y = -24In complete sentences: Explain how to find the x and y intercepts. ( 2 Points )What is the x-intercept of this line? (1 Point)What is the y-intercept of this line? ( 1 Point)What is the slope of this line ? ( 1 Point)
General
4 months ago
PLEASE ANSWER FAST 100 POINTS AND WILL MARK BRAINISTThe shoe store’s clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is applied, how much would the commission be for Isaac’s purchase with and without a coupon? (2 points)
General
4 months ago
Suppose a country has a population of 50 million and projects a growth rate of 4% per year for the next 20 years. What will the population of this country be in 11 years? (Round your answer to two decimal places.)
General
4 months ago
The top and bottom margins of a poster are 4 cm and the side margins are each 5 cm. If the area of printed material on the poster is fixed at 388 square centimeters, find the dimensions of the poster with the smallest area.
General
4 months ago
In the production of a plant, a treatment is being evaluated to germinate seed. From a total of 60 seed it was observed that 37 of them germinated. Is it possible to claim that most of the seed will germinate? Consider a confidence level of 95%.
General
4 months ago
When 3010 adults were surveyed in a poll, 27% said that they use the Internet. Is it okay for a newspaper reporter to write that "1 divided by 4 of all adults use the Internet"? Why or why not? Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.The test statistic is z = ?. (Round to two decimal places as needed.)The P-value is ?. (Round to four decimal places as needed.)Identify the conclusion about the null hypothesis and the final conclusion that addresses the original claim. (Assume a 0.05 significance level.)
General
4 months ago
DDT is a pesticide banned in the United States for its danger to humans and animals. In an experiment on the impact of DDT, six rats were exposed to DDT poisoning and six rats were not exposed. For each rat in the experiment, a measurement of nerve sensitivity was recorded. The researchers suspected that the mean nerve sensitivity for rats exposed to DDT is greater than that for rats not poisoned. The data is displayed. Poisoned rats 12.207 16.869 25.050 22.429 8.456 20.589 Unpoisoned rats 11.074 9.686 12.064 9.351 8.182 6.642 Let μ 1 be the mean nerve sensitivity for rats poisoned with DDT. Let μ 2 be the mean nerve sensitivity for rats not poisoned with DDT. The P ‑value for this test was between 0.01 and 0.05. Which statement is a reasonable conclusion?
General
4 months ago
An employment agency requires applicants average at least 70% on a battery of four job skills tests. If an applicant scored 70%, 77%, and 81% on the first three exams, what must he score on the fourth test to maintain a 70% or better average.
General
4 months ago
Consider a triangle with vertices at (0,0) and (x1, 71) and (x2, 92). a. Use the interpretation of a determinant as area of a parallelogram to explain why the following formula calculates the area of the triangle. (Hint: A diagonal of a parallelogram cuts the parallelogram into two triangles of equal size A =\det (i 2) b. Set (x1, y.) = (1,2) and (x2,Y2) = (3,-1). Use the formula to calculate the area of the triangle.
General
4 months ago
Consider the system of differential equations dxdt=−5ydydt=−5x. Convert this system to a second order differential equation in y by differentiating the second equation with respect to t and substituting for x from the first equation. Solve the equation you obtained for y as a function of t; hence find x as a function of t. If we also require x(0)=1 and y(0)=3, what are x and y? x(t)= equation editorEquation Editor y(t)= equation editorEquation Editor
General
4 months ago
The average US woman wears 515 chemicals on an average day from her makeup and toiletries. A random sample from California found that on average the California woman wears 325 chemicals per day with a standard deviation of 90.5.Which hypothesis test should be used to determine whether the sample contains less than the US average of wearing 515 chemicals per day?a. t-test for the population meanb. z-test for the population meanc. z-test for the population proportiond. t-test for the population proportion
General
4 months ago
−9x+2>18 OR 13x+15≤−4
General
4 months ago
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