Acme Metals buys a sheet metal press for $140,000. They estimate that it will be worth $96,250 in 5 years time. a. Set up a linear model for this situation. Identify your variables and assumptions clearly. b. If the model is correct, what is the machine worth after 2 years? How much value has it lost after 3 years? c. Evaluate your model. What is its largest possible domain of applicability?...

It costs $30 a day to rent a dump truck plus $0.95 per mile. A. Is this an example of a linear or exponential model? choose your answer... B. Choose the model that fits the information. choose your answer... model

Part c: What percentage of an adult size brain does a child have at age 10? Part d: Determine whether the value from the model is larger or smaller than the value in the table.

Please only use Gams to solve the model and interpret the results.

Jake is 1 yr younger than Charlotte.a. Write a model for Jake’s age J in terms of Charlotte’s age C. b. Write a model for Charlotte’s age C in terms of Jake’s age J.

1, Estimate a linear regression, with Quantity as your dependent (y) variable. Your independent variables are Price, Xmas, Summer, and the Day of the Week variables. 2. Write out the estimated equation.  3. For each value of price (0 through 100 in increments of 5), plug the price into the estimated regression equation to get a “predicted quantity.” What is the average of these predicted quantities?  Quantity day Price Xmas Summer Monday Tuesday Wednesday Thursday Friday Saturday Sunday 121 1 62 0 0 1 0 0 0 0 0 0 168 2 44 0 0 0 1 0 0 0 0 0 132 3 52 0 0 0 0 1 0 0 0 0 230 4 16 0 0 0 0 0 1 0 0 0 232 5 28 0 0 0 0 0 0 1 0 0 368 6 7 0 0 0 0 0 0 0 1 0 225 7 63 0 0 0 0 0 0 0 0 1 115 8 63 0 0 1 0 0 0 0 0 0 143 9 50 0 0 0 1 0 0 0 0 0 79 10 74 0 0 0 0 1 0 0 0 0 85 11 61 0 0 0 0 0 1 0 0 0 210 12 47 0 0 0 0 0 0 1 0 0 265 13 41 0 0 0 0 0 0 0 1 0 348 14 20 0 0 0 0 0 0 0 0 1 117 15 61 0 0 1 0 0 0 0 0 0 124 16 49 0 0 0 1 0 0 0 0 0 45 17 89 0 0 0 0 1 0 0 0 0

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8. For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. You are saving your money in an account that accrues interest continuously at a rate of 6.25%. You invest $12, 500. Part A: Identify the values for the variables, and write an equation that can be used to find the amount of money in the account after a certain number of years, t. Part B: Approximately how much money will be in your account after 2 years? Show your work. Part C: If you are trying to save $25,000, approximately how long will it take to reach your goal? (Round to the nearest hundredth.) Show your work to support your answer. B i U Font Family AA A == = G ¡A GED ±√

1a. Make a scatter plot of the table provided in the image. B. Write a linear/exponential equation that models this table provided in the image. C. Explain what the slope/multiplier means in the context of the problem. E. Use your model to predict when there will be 100 new cases (I have already done question 1a and have included it in my images. I mainly need help with questions C, D, and E)

Assume the yearly savings in gasoline costs due to the purchase of a hybrid auto- mobile are $400 and the extra cost of purchasing the hybrid is $4500. a. Produce an equation of net savings over a period of x years. b. Graph this equation on an appropriate rectangular coordinate axis system and identify the point that indicates the number of years required to break even. How long does it take to break even?