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Solve the problem. The population of a certain species of fish introduced into a lake is described by the logistic equation G(t) = (10,000) / 1+19e^(-1.2t), where G(t) is the population after t years. Find the point at which the growth rate of this population begins to decline.
Kate and John buy a block of land for $140,000 by paying $10,000 deposit and then taking out a loan for the remainder. The loan will be repaid with quarterly instalments over 15 years with interest at j4 = 7.7%.
You construct a box with a volume of 146 cubic inches from a piece of metal by cutting 4 inch squares from the corners and folding up the sides. Find the width of the original piece of metal.
A carpenter is making a brace for a chair. To do so she intersects two pieces of wood to make two sets of vertical angles. The obtuse angles formed are each 145°. What is the measurement of each acute angle formed?
What is the mean score of all of these students together? Round to one decimal place.
Interpret the results and draw onclusions that address the question posed in the case problem. What are the limits of the study? Write at least one paragraph.
A plane flying into a headwind travels 216 miles in 2 hours and 42 minutes. The plane does the return flight in 2 hours. Find the speed of the plane and of the wind.
It is sometimes claimed that Fahrenheit degrees are more accurate than Celsius degrees because the measurement unit is smaller. Would the same conclusions be reached if Celsius degrees were used instead of Fahrenheit? Justify your answer.
Jose borrowed $12,000 for 140 days at 10 1/2% to add a hot tub and enclosure to his home. Find the interest and the maturity level.
The inflation rate for Britain is 6.8. Use the least squares line to estimate Britain's independence rating.
Let S a subset of R be compact. Prove that every infinite subset of S has an accumulation point in S
The formula d = sqrt15h, where h equals the height, in feet, of the viewer's eyes, estimates the distance d, in miles, to the horizon from the viewer. Find the distance to the horizon for a person who eyes are 6 ft above the ground.
Use the recurrence equation above and strong induction to prove that F(n) =1, where F(n) is the Fibonacci sequence.
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