The population of a city has been declining over the last several years. The population can be moc by P (t) = 386,200-7,600 In t, where tis time in years. Determine the number of years in w the population will decline to 365,000.

Q: The compound interest formula is given by A = P(1+)" nt where A is the accumulated amount, after an…

A: Given that the compound interest formula is given by       A = P(1+r/n)nt

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A: Given query is to find the solution of the quadratic.

Q: Write the first five terms of the geometric sequence. a, = 9an - 1, a1 = 1 a1

A: Given an=-9an-1,a1=1Put n=2a2=-9a2-1a2=-9a1a2=-9*1a2=-9.Put n=2a3=-9a3-1a3=-9a2a3=-9*(-9)a3=81.Put…

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Q: Write the expression in simplest form. Assume all variables are positive. State all radicals as…

A: We have to simplify the given expression.

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A: There are 12 queen and 12 jacks in deck of 52 cards.

Q: 158 + 199

A: topic - addition

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Q: Solution of 2 y" = 1+y'² is

A: The given differential equation is y''=1+y'2 ......................................... (1)

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A: This question can be solved using the given formula.

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A: Given: A regular heptagon with its circum-circle.…

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Q: Use the power rule for logarithms to expand the expression. Write your answer in simplified form.…

A: Given problem:-

Q: WHICH NUMBER IS IN THE MIDDLE 2. Why can you not calculate the mean of the data represented?…

A: Total number of scores = 23Median =n+12 =23+12 = 12th position12th position comes after 5th…

Q: Solue the equation X+3=x-2. NX13)? = (x-3)? X+3= X-3 +3 (x-3) (x-3)x8_3メ-3x x2-lex +9 M73

A: Given :   x+3  = x-3

Q: As of 2010, Facebook was considered the world's largest social network. The number of Facebook…

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Q: Find the gradient of the function at the given point. g(x, y) = 12xe/x, (8, 0) Vg(8, 0) =

A: Given,           gx,y=12xeyx , 8,0To find : Find the gradient of the function at the given point.

Q: (ayut): Given the system 3x+y-z 1 X-y+z= -3 2x+y+z D0 a) Setup the augmented matrix. b) Solve the…

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Q: 6) Determine if the mapping diagram represents a function. domain range 2 1 6. 4 → 11 * 16 No Yes

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Q: II. Evaluate the following integrals: 4 1 1 6. I 4- 5x 5. - dx 2x +7

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Q: Indicate the value of each imaginary number. a) i18 c) i601 b) i412 d) i27

A:

Q: Find all complex solutions of 6x – 5x+4=0. (If there is more than one solution, separate them with…

A: 6x2-5x+4=0we know that solution of ax2+bx+c=0 is,x=-b±b2-4ac2aHere a=6,b=-5,…

Q: x 3 For the function f(x)= 27 -x+39 2 (x)%3D 3 4 (i) Determine the coordinates of the turning…

A: Here, the given function is: f(x)=x33-34x2-272x+39 So, f'(x)=x2-32x-272f''(x)=2x-32

Q: Write a polynomial function with the given zeros and their corresponding multiplicities. There are…

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Q: Find the length of the curve y=x between x = 0 and x= 6. The length of the curve y =x? between x= 0…

A: We have to find the length of curve.

Q: Volume of Composite Figures Name o fr 12 ft

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Q: (a²-3ab+2b²)+(-4a²+5ab-b²)

A:

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Q: Rewrite exponents as factors using the Power Rule of Logarithms. Do not evaluate the logarithm. log,…

A: Let's find.

Q: You have 1000 bugs in a bottle. It is known that the bug population is given by the logistic model…

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Q: Suppose you receive $250 for a graduation present, and you deposit it in a savings account. Then…

A: Given that you receive $250 for a graduation present and you deposit in a savings account. Then each…

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Q: 2. つ

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Q: -/4 1/4 1/2 ー|す - | 00 PDP'. Use the Diagonalization Theorem to find the eigenvalues of A and a…

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Q: 9. Identify the center and radius of a circle with equation (x-7) +(y+6) = 16. Ocenter at (7,-6);…

A: Given problems:-

Q: Problem No.3 2 -3 -5 2 -2 -4 C= -1 3 1 -3 -4 Let -1 3 5 A= -1 4 5 B= 1 -3 -5 4 1 -3 -4 -1 3 5 Find:…

A: As per the company guidelines we are supposed to answer only first three subparts.Kindly repost the…

Q: Solve: a) logbase5 (2x – 1) = 3 b) logbase4 (3x – 5) = logbase4 11 + logbase4 2

A:

Q: Use the remainder theorem to evaluate the polynomial for the given values of x. g (x) = 2.x* – 17x+…

A: The answer is in below steps.

Q: Find all values of a (if any) so that the given vectors form an orthogonal set. (Enter your answers…

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Q: (8 -1 y 4 12

A:

Q: -1, 2, -4, 8, . Vhich of the following represents the recursive formula? O an = an-1· (4) a1 = -1 O…

A: Given query is to find the formula for the sequence.

Q: Perform this subtraction: (8z- – 8x2 + 10) 1z + 7x) - (3r

A: We can perform the subtraction as below.

Q: 3 A coin weighs ounces. Karen picked up 6 of these coins. 4 What is the total weight of the coins…

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Q: a² +7< 3 - |5x - 3|.

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Q: Tandra's grandparents would like to sell her their second home in 10 years for the present market…

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Q: ) Graph the function and determine the range. Label points of interest clearly. Slæ| h(x) = if x -1

A: The range of a function f(x) is the set of all possible values of f(x).

Q: Find the solution set for the inequality x² + x – 6 > 0 -

A: We need to solve the inequality,

Q: I. Find dy/dx of the following: 1. y = In 2.x 2. y= (Inx) 3. y = In(tanx)

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Q: c. Find the equation of the regression line for the percentage who won't try sushi and the…

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Q: Some people can trace their ancestry back ten generations, which means two parents, four…

A: Number of ancestors during the ten generations preceding his own generation;   = Sum of 10 terms of…