Calculate the consumers' surplus at the indicated unit price p for the demand equation. HINT [See Example 1.] (Round your answer to the nearest cent.) q = 90 - e0.1p. p = 26 $
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![Calculate the consumers' surplus at the indicated unit price p for the demand equation. HINT [See Example 1.] (Round your answer to the nearest cent.)
q = 90 – e0.1p; p = 26
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- SKILL BUILDING EXERCISES HarvestingWhat is the name of the theory that says that a renewable resource growing logistically should be harvested at half of the carrying capacity?Calculate the consumers' surplus at the indicated unit price p for the demand equation. HINT [See Example 1.] (Round your answer to the nearest cent.) p = 150 −q; p = 20 $You owe $25 000 on a credit card that charges 1.5% interest each month. You can pay $2 500 each month with no new charges. What is the equilibrium value? What does the equilibrium value mean in terms of the credit card? Build a numerical solution. When will the account be paid off? How much is the last payment?
- A price for a house in thousands of dollars t years after 2015 is given by the model P(t)=190⋅(1.038)t Answer the following questions. 1) What was the price of the house in 2015? 2) Is the price increasing or decreasing? By how much each year? 3)Use the model to predict the price in the year 2021. 4) In what year the price will reach $290,000?Compute the specified quantity.A 6-year bond costs $3,000 and will pay a total of $250 interest over its lifetime. What is its annual interest rate r? HINT [See Example 3.] (Round your answer to three decimal places.)You have found an investment that pays 0.5% each week. What is the effective annual rate of return for this investment? Question 15 options: 15.8% 24.7% 26% 29.6%
- The purchasing power P of a fixed income of $30,000 per year (such as a pension) after t years of 6% inflation can be modeled by P = 30,000(1.06)−t. Find the purchasing power after 20 years. (Round your answer to the nearest dollar.the cost of inflation can be modeled by the following formula, whre c represent the cost x years after 2010 of what cost $100 in 1999. use the given model to determine in which year the cost will be $160 for what cost $100 in 1999 C=1.9x+126.5 in ______ the cost will be $160 for what $100 in 1999 (round to the nearest year as needed)a) Cash Flow Diagram b) manual solution You plan to deposit $2,000 per month, starting one month from now, into a fixed rate account that pays 12% per year compounded quarterly. How much will be in the account at the end of 10 years?
- The following initial value problem model the payoff of a loan. In the case, solve the initial value problem, for t ≥ 0, graph the solution, and determine the first month in which the loan balance is zero. B'(t) = 0.01B - 750, B(0) = 45,000[Question text] Galoraz Bhd has a line of credit of RM325,000 with an interest rate of 1.85 percent per quarter. Their short-term investments earning is 0.48 percent per quarter. What is the effective annual interest rate (EAR) on this arrangement if the line of credit goes unused all year? Assume any funds borrowed or invested use compound interest. Select one:A. 7.61%B. 2.14%C. 10.38%D. 1.93%Worldwide annual sales of smart phones in over a five-year. We’re projected to be approximately q=-10p+4440 million phones at a selling price of $per phone. (a) obtain formula for the price elasticity of demand. (b) and one particular year the actual selling price was $271 per phone. What was the corresponding price elasticities of the man? Interpret your answer. (c) Use your formula for E to determine the selling price that would have resulted in the largest annual revenue. What, to the nearest 10 million, would have been the resulting annual revenue? (PLEASE TYPE OUT STEPS IF POSSIBLE.)