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Ted was competing on a game show. Sadly, he ran into a losing streak. First, he bet half of this money on one question and lost it. Then he lost half of this remaining money on another question. Then he lost $300 on another question. Then he lost half of his remaining money on another question. On the last question, Ted finally got it right and won $200. The game then ended leaving him with $1,200. How much did he have before his losing streak began?

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You are carrying out an experiment where you treat a cell line with a ligand and then measure the production of a cytokine in response to receptor activation. You treat the cells every hour for 10 hours. For the first 5 treatments, the amount of cytokine produces gets smaller each time. For the last five treatments, there is no cytokine release at all. What could explain this result? Question 2Select one: a. Some of the receptor is being internalized after each treatment cross out b. The receptor is phosphorylated as part of a feedback loop that lowers the affinity for the ligand cross out c. Some of the receptors are degraded after each round of treatment with the ligand cross out d. Any of the above are possible

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An investment of $100,000 is expected to return the following cash flows: Year 1 2 3 4 5 Cash flow 10,000 30,000 50,000 30,000 10,000 Which of the following can be reported as the internal rate of return? Multiple Choice 9.0% 9.5% 10.0% 10.5%

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The table shows data for Gizelle and Devin. Use the check mark method to determine which cell, if any, has a Nash equilibrium, and then choose the correct description. Gizelle's and Devin's Smoothie Shops Devin's price = $6 Gizelle's price = $7 Gizelle's profits = $3,000 Devin's profits = $2,500 Gizelle's price = $9 Gizelle's profits = $1,000 Devin's profits = $5,000 Devin's price = $8 Gizelle's profits = $6,000 Devin's profits = $1,000 Gizelle's profits = $5,000 Devin's profits = $4,000 The Nash equilibrium is Gizelle earning profit of $5,000 and Devin earning profit of $4,000. The Nash equilibrium is Gizelle earning profit of $1,000 and Devin earning profit of $5,000. The Nash equilibrium is Gizelle earning profit of $6,000 and Devin earning profit of $1,000. The Nash equilibrium is Gizelle earning profit of $3,000 and Devin earning profit of $2,500.

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Text: For the function: y = 5x^2 + 2x, what is the average rate of change over the interval [1, 6]?

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Given $f(x) = 4x^3 + 29x^2 - 7x - 98$, answer the following. Part: 0 / 2 Part 1 of 2 Factor $f(x)$, given that $-2$ is a zero. $f(x) = $ Part: 1 / 2 Part 2 of 2 Solve $f(x) = 0$. Express your answers in exact simplest form. The solution set is

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4.} Given the infinite series: $\sum_{n=0}^{\infty} \frac{(x-2)^n}{(n+4)9^n}$ This question pertains to the series at the right endpoint. On your paper, write the series for the right endpoint in sigma notation. Write the first five terms for the series: First Term: Your Answer Correct Answer $\frac{1}{4}$ Second Term: Your Answer Correct Answer $\frac{1}{5}$ Third Term: Your Answer Correct Answer $\frac{1}{6}$ Fourth Term: Your Answer Correct Answer $\frac{1}{7}$ Fifth Term: Your Answer Correct Answer $\frac{1}{8}$ Write the first three partial sums for the series as an improper fraction. First Partial Sum: Your Answer Correct Answer $\frac{1}{4}$ Second Partial Sum: Your Answer Correct Answer $\frac{9}{20}$ Third Partial Sum: Your Answer Correct Answer $\frac{74}{120}$ Using the alternative series test, show whether the series converges or diverges. Your Answer Correct Answer diverges

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EYE AND VISION VISUAL ACUITY Lab Data Patient 1 Patient 2 Patient 3 Sex Male Female Male Age 21 35 62 Vision Rating 20/70 Correction (diopter) How to read Snellen eye chart E FP TOZ 1 2 3 4 5 6 7 8 9 10 11 Mr. Smith Age: 21 Increase diopter 0 Decrease diopter PHASE 1: Determine vision rating and prescription for Patient 1 Complete the following steps: 1 Using Snellen eye chart, determine lowest line Patient 1 can read. Record vision rating for that line in Lab Data 2 Determine lowest power at which 20/20 line becomes readable by using the diopter buttons on the phoropter. Record diopter in Lab Data METHODS RESET MY NOTES LAB DATA GO TO PHASE 2

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Economists define "rational" tastes as those that are: Objective and Transitive Monotonic and transitive Convex and transitive Complete and transitive

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Q7 Find the average annual stock returns of all the companies. Follow these steps: 1. Arrange the data set by conm and datadate. 2. Group by conm 3. Calculate stock return stk_ret by taking the difference between mkvalt (Market value of equity) and its lag and then divide the difference by the lag of mkvalt Hint: Here you can use the lag() function from dplyr. homework 1 4 4. Summarize to get the mean of the stock returns stk_ret_mean. 5. Display the average stock returns in percentage format. ### A tibble: 10 x 2 Hint: learn more about percent() function from scales package, which is already installed with tidyverse ## conm stk_ret_mean ## <chr> <chr> ## 1 ADVANCED MICRO DEVICES 69.1% ## 2 ALPHABET INC 25.4% ## 3 AMAZON.COM INC 37.2% ## 4 APPLE INC 27.0% ## 5 META PLATFORMS INC 40.0% ## 6 MICROSOFT CORP 21.8% ## 7 NETFLIX INC 58.2% ## 8 QUALCOMM INC 9.1% ## 9 TESLA INC 131.7% ## 10 TWITTER INC 6.0%

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karen m.