The population in an African preserve is estimated to at 600 lions. Thegrowth rate based on the last two years is about 3% per year. If trepresents time in years after this year, which functions best models thissituation?= 600(1.03)*а.b. y = 600 + 1.03tc. Y = 600(0.03)'X d. y = 600 + 0.03ty = 600(1.03)*-1е.

Answered: The population in an African preserve…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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2. State whether the growth or decay is linear or exponential. Then answer the associated question, showing clear work. (2.1) A piece of land is valued at $300,000. However, its value is increasing at 15% per year. What is its value after 4 years? Round to the nearest dollar. Linear Work: Exponential (2.2) The number of locally owned businesses in our town seems to be decreasing at a rate of 35 per year. If there are 860 locally owned businesses today, what number can we expect to have in 5 years? Linear O Exponential Work:
In 2013, the moose population in a park was measured to be 5,600. By 2017, the population was measured again to be 9,700. If the population continues to change exponentially, find an equation for the moose population, P, as a function of t, the years since 2013. Round numbers to 3 decimal places as needed. What does your model from above predict the moose population to be in 2022?
(Depreciation). Table 2 gives the market value of a luxury sedan (in dollars) x years after its purchase. (Use 4 decimal places in all answers.) Table 2: Luxury Sedan's Value x Value ($) 1 23,125 2 19,050 3 15,625 4 11,875 5 9,450 6 7,125 A. What exponential equation, V(x) best fits the data, where x is the number of years after purchase and V(x) is value of the vehicle after x years?V(x) = B. What is r2?r2 = C. Use the equation to estimate the purchase price of the vehicle and the value of the vehicle after 10 years. (Round to the nearest cent.)The purchase price of the vehicle after 10 years will be $ .D. Use the equation to estimate how old a luxury sedan valued at $12,000 is. (Round to the nearest year.)The luxury sedan should be about years old.
Suppose that P dollars in principal is invested in an account earning 3.4% interest compounded continuously. At the end of 5 yr, the amount in the account has earned $1760.40 in interest. Part: 0 / 2 Part 1 of 2 (a) Find the original principal. Round to the nearest dollar. (Hint: Use the model A = Pert and substitute P+1760.40 for A.) The original principal was approximately 9500 X Part: 1 / 2 Part 2 of 2 (b) Using the original principal from part (a) and the model A = Pet, determine the time required for the investment to reach $11,500. Round to 1 decimal place. Using the original principal from part (a) and the model A = Pe, it will take the investment approximately yr to reach $11,500.
Suppose a variable is growing continuously at a nominal rate of 10% per year. What is the effective growth rate?
(2) The population of the world in 1995 was about 5.7 billion, and the estimated relative growth rate is 2% per year. If the population continue to grow at this rate. (b) By what year will the population have doubled? When will it have tripled?
Lottery: In the New York State Numbers lottery, you pay $3 and can bet that the sum of the numbers that come up is 13. The probability of winning is 0.095, and if you win, you win $7.50, which is a profit of $4.5. If you lose, you lose $3. Part: 0/ 2 Part 1 of 2 (a) What is the expected value of your profit? Round the answer to two decimal places. The expected value of profit is
VI. Solve. 9.) A deposit of $7500 is made in a bond that pays 4% interest, compounded continuously. The balance will be given to a charity after the money has earned interest for 40 years. How much will the charity receive?

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