![Taylor129](/avatars/10194.jpg)
Taylor129
22.02.2021 •
Mathematics
A major corporation is building a 4,325-acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Cove's population (in thousands) t years from now will be given by
(25t2 + 150t + 100)/(t2 + 6t + 24)
A) Find the rate at which Glen Cove's population is changing with respect to time.
B) What will be the population after 10 years?
C) At what rate will the population be increasing when t = 10?
Solved
Show answers
More tips
- A Animals and plants What Do Terriers Eat?...
- F Food and Cooking Discover the Benefits and Properties of Dates...
- C Computers and Internet Dynamically Assigned IP Address: What Is It and How Does It Work?...
- S Style and Beauty How to Get Rid of Acne: Scientifically Proven Methods...
- H Health and Medicine Simple Ways to Lower Cholesterol in the Blood: Tips and Tricks...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
Answers on questions: Mathematics
- M Mathematics Given that events A and B are independent with P(A) = 0.4 and P(B) = 0.25, determine the value of P(A and B), rounding to the nearest thousandth, if necessary...
- M Mathematics Adding negative numbers Add. -1+(-5) =...
- M Mathematics Which expression is the factored equivalent of x2 - 5x + 4? A. (x - 1)(x - 4) B. (x - 3)(x - 1) C. (x + 4)(x + 1) D. (x + 1)(x - 4)...
- M Mathematics What is the expansion of the following fraction? 1/15 __ A. 0.06 B. 1.15 C. 0.15 _ D. 0.6...
- M Mathematics Find 2.5 divided by 0.05 A.5 B.50 C.500 D.5000...
- M Mathematics Someone please help me...
- M Mathematics Find the median, and mode(s) of the data. 15, 4, 3, 12, 20, 12, 13...
- M Mathematics Please help with number four I give brainliest thank you!...
- M Mathematics Which situation can be modeled by the inequality 7x+6 30?...
- M Mathematics What is the solution to the system of equations? y=-3x - 2 5x + 2y = 15 (-40, 19) (-19, 55) (19,-40) (55, -19)...
Ответ:
See explanation
Step-by-step explanation:
We have that;
P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)
a) rate at which Glen Cove's population is changing with respect to time.
dP/dt = (t^2 + 5t + 40) (50t + 125) - (25t^2 + 125t + 200) (2t + 5)/(t^2 + 5t + 40)^2
dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2
b) population after 10 years
P(t) = (25t2 + 150t + 100)/(t2 + 6t + 24)
P(t) =(25(10)^2 + 150(10) + 100)/((10^2 + 6(10) + 24)
P(t) = 4100/184
P(t) = 22283
c) when t = 10
dP/dt = 1000t + 3000/(t^2 + 6t + 24)^2
dP/dt = 1000(10) + 3000/(10^2 + 6(10) + 24)^2
dP/dt = 13000/33856
dP/dt = 0.384
Ответ:
B
x-10=3
+10=+10
x=13
Step-by-step explanation:
I hope this helps