The Statute of Frauds. Kendall Gardner agreed to buy from B&C Shavings, a specially built shaving mill to produce wood shavings for poultry processors. B&C faxed an invoice to Gardner reflecting a purchase price of $86,200, with a 30 percent down payment and the “balance due before shipment.” Gardner paid the down payment. B&C finished the mill and wrote Gardner a letter telling him to “pay the balance due or you will lose the down payment.” By then, Gardner had lost his customers for the wood shavings, could not pay the balance due, and asked for the return of his down payment. Did these parties have an enforceable contract under the Statute of Frauds? Explain. [Bowen v. Gardner, 2013 Ark.App. 52, __ S.W.3d __ (2013)] (See The Statute of Frauds.) What is the discussion and what is the legal reason?

In math class, a student has written down a sequence of 16 numbers on the blackboard. Below each number, a second student writes down how many times that number occurs in the sequence.  This results in the second sequence of 16 numbers. Below each number of the second sequence, a third student writes down how many times that number occurs in the second sequence. This results in the third sequence of numbers. In the same way, a fourth, fifth, sixth, and seventh student each construct a sequence from the previous one. Afterward, it turns out that the first six sequences are all different. The seventh sequence, however, turns out to be equal to the sixth sequence. Give one sequence that could have been the sequence written down by the first student. Explain which solution strategy or algorithm you have used.

In math class, a student has written down a sequence of 16 numbers on the blackboard. Below each number, a second student writes down how many times that number occurs in the sequence. This results in a second sequence of 16 numbers. Below each number of the second sequence, a third student writes down how many times that number occurs in the second sequence. This results in a third sequence of numbers. In the same way, a fourth, fifth, sixth, and seventh student each construct a sequence from the previous one. Afterward, it turns out that the first six sequences are all different. The seventh sequence, however, turns out to be equal to the sixth sequence. Give one sequence that could have been the sequence written down by the first student. Explain which solution strategy or algorithm you have used.

Jason is interested in buying a new Maserati Gibli. The sales price of the car is $77,000. Jason intends to put a down payment of $15,000 and take up the balance with a 5 year loan. Since Jason has excellent credit, he anticipates the annual interest rate (APR) for his future loan would be 2.84%. Round your answers to the nearest dollar.

1. Using a spreadsheet model, what will be the monthly payment for his car if he were to take up the loan for the remaining balance of the car over 5 years with an APR at 2.84%?

2. The maximum down payment Jason can afford is $30,000. Construct a one-way data table with the down payment amount as the column input and monthly payment as the output. Vary the down payment amount between $0 and $30,000 in increments of $5,000. What is the range of payments that Jason is expecting?

3. After thinking about the future loan, Jason decides he only wants to pay $900 per month. Using the appropriate Excel tool, find the exact down payment amount that Jason needs.

Please show how to solve all problems using Excel.

A research team wanted to compare the difference between serum uric acid levels in patients with and without Down syndrome. A sample of 12 individuals with Down syndrome yielded a mean of 4.5 mg/100 ml with standard deviation 1 mg/100 ml while a sample of 15 individuals without Down syndrome yielded a mean of 3.4 mg/100 ml with standard deviation 1.2 mg/100 ml. Let those with Down syndrome be group 1 and those without be group 2. Note: When doing calculations with the means and standard deviations, just use the main number. For example: “4.5 mg/100 ml” --> just use 4.5 A. What are the sample statistics (p̂1 and p̂2 or ȳ1 and ȳ2)? Please calculate/write their values and calculate their difference (p̂1-p̂2 or ȳ1-ȳ2). B. Construct a 95% confidence interval for the true average difference in serum uric acid levels overall between those with Down syndrome and those without. Use t* = 2.06 if solving by hand. Provide the interval in (left endpoint, right endpoint) format. C. Interpret the confidence interval in the context of the study.

8) Would gravity do more work on a brick sliding down a frictionless ramp if the brick started from rest, or if it started with an initial velocity down the slope?

a) Gravity does more work if it started from rest.

b) Gravity does more work if it started with an initial velocity down the slope.

c) Gravity does the same amount of work in both cases.

9) In a particular instant, a rock slides horizontally along a slope. The force of friction acting on the slope is in what direction?

a) Up the slope

b) Down the slope

c) In the direction of travel of the rock

d) Opposite the direction of travel of the rock

10) I stand with my arms straight out and spin. Which body part has more centripetal acceleration?

a) My elegant hands

b) My gorgeous elbows

c) It’s a tie.

11) I stand on slope with one foot in the air. What could I do to increase the friction I receive from the slope?

a) Put my other foot down.

b) Pick up a physics book that was on the slope by me.

c) either

d) neither

A block with a mass of 0.488 kg is attached to a spring of spring constant 428 N/m. It is sitting at equilibrium. You then pull the block down 5.10 cm from equilibrium and let go. What is the amplitude of the oscillation?

A block with a mass of 0.976 kg is attached to a spring of spring constant 428 N/m. It is sitting at equilibrium. You then pull the block down 5.10 cm from equilibrium and let go. What is the amplitude of the oscillation?

A block with a mass of 0.488 kg is attached to a spring of spring constant 856 N/m. It is sitting at equilibrium. You then pull the block down 5.10 cm from equilibrium and let go. What is the amplitude of the oscillation?

A block with a mass of 0.488 kg is attached to a spring of spring constant 428 N/m. It is sitting at equilibrium. You then pull the block down 10.2 cm from equilibrium and let go. What is the amplitude of the oscillation?

A block with a mass of 0.488 kg is attached to a spring of spring constant 428 N/m. It is sitting at equilibrium. You then pull the block down 10.2 cm from equilibrium and let go. What is the frequency of the oscillation?

And now here we are…a Starbucks on nearly every corner. Even Homer Simpson had something to say about this in a recent episode! This is where I need your help. I would like you to perform a thorough analysis of the data involving the number of Starbucks locations. Our investors are interested to know about the rate of growth as well as to understand issues related to forecasting the number of Starbucks locations in the future. And specifically, we are wondering when the number of stores will reach 37,000 locations. You see, there are currently 37,000 McDonald’s restaurants worldwide, and we have set a goal to reach that number by the year 2020. Do you think we can do it?

1. identify the initial value and the growth rate of your exponential model and explain what they mean in context of Starbucks Stores. Put your explanations in a text box.
2. How well does the exponential function compare to the data from the Starbucks Company Time Line? Answer in a short paragraph in a text box.
3. Use your exponential model to predict when Starbucks will match McDonald’s for the number of locations.

the table gives a total U.S expenditure for health services and supplies selected years from 2000 and projected to 2018.

year $(billion)

2000 1264

2002 1498

2004 1733

2006 1976

2008 2227

2010 2458

2012 2746

2014 3107

2016 3556

2018 4086

a. find an exponential function model to these data, with x equal to the number of years after 2000. b) use the model to estimate the U.S expenditure for health services and supplies in 2020.

2.The percent of boys age x or younger who have been seually active are given below.

Age cumulative percent seuual active girls cumulative percent sexual active boys

15 5.4 16.6

16 12.6 28.7

17 27.1 47.9

18 44.0 64.0

19 62.9 77.6

20 73.6 83.0

a). Creat a logarithmic function that model the data using an input equal to the age of the boys.

b) use the model to estimate the percent of boys age 17 or younger who have been seually active

c. compare the percent that are sexually active for the two genders, what do you conclude.

3). if $12000 is invested in an account that pays 8% interest, compounded quaterly, find the future value of this investment

a) after 2 year. b) after 10 years.

4).if $9000 is invested in an account that pays 8% interest, compounded quaterly . find the future value of this investment

a) after 0.5 year b)after 15 years

5. Grandparents decide to put a lump sum of money into a trust fund on their gtanddaughters 10th birthday so that she will have $1000000 on her 60th birthday. if the fund pays 11% compounded monthly. how much money must they put in the account.

6.At the end of t years the future value of an investment of $25000 in an account that pays 12% compounded quaterly is

S=25000(1+0.12 /4t )^4t dollars.. a) How many years will the investment amount to $60000.