A population is initially 80 and is known to decline at a continuous rate of 3.17 % per year. Estimate the half-life of the population (in years). Write your answer as a decimal rounded to four decimal places.

Q: A concert promoter sells tickets and has a marginal-profit function given below, where P'(x) is in…

A: We solve the given problem by using integration techniques.

Q: What length of 1 in, stock is needed to bend a piece of steel into the shape as shown to the right?…

A:

Q: = Given the function P(t) = its roots are and their multipicities are - 15(t — 7)˚(t + 5)' (t — 2),

A:

Q: 4.MD.4 How many total liters of water were used to water the plants? 3 NUMBER OF PLANTS 240 0 1/4…

A: a graph is given between the number of liters of water used and the number of plants produced.

Q: A ball is thrown upward at an initial velocity of 8.4 m/s, from a height of 1.5m above the ground.…

A: To find the maximum height the ball reaches, we need to determine the vertex of the parabolic…

Q: Solve by completing the square. p2=9p-1

A:

Q: The average weekly savings of David and Andrew is $22. If David's and Edward's average weekly saving…

A: The average weekly savings for David and Andrew is $22. David's and Edward's average weekly savings…

Q: TRUE OR FALSE Direction.  Write TRUE if the statement is false and FALSE if the statement is true.…

A: If a set has  elements, then it has  subsets.

Q: (a) Determine the following for the figure. (Round your answers to one decimal place.) 14 m m the…

A:

Q: Problems 7-13: A) Explain B) Illustrate and C) Solve. 7. Convince me that 2 5 6 15

A:

Q: Let T: R² → R² be defined by T <-{B)-G]} C = Given Pc = [T](PB (u)) 1 -2 -1 3 = Ex: 5 ([2₂]) = [ X2…

A:

Q: Solve the homogenous system of equations 2x + 2y + 4z = 0 -4x - 4y - 8z = 0 -3y-3z = 0

A:

Q: Solve by completing the square. 5x2-8x+5=0

A:

Q: Problems 7-13: A) Explain B) Illustrate and C) Solve 8. Convince me that 7 100 8 > mit 3 4

A:

Q: If a ladder that is 9 feet long is laid against a wall and you measure the distance from the bottom…

A:

Q: Line L1 has equationy = (-5/7)x+ (2/3) and line L2 has equation y = (7/5) x + (2/3). Are the lines…

A:

Q: 21. Seven years before it matures the value of a $1,000 strip bond is $672. What is the semi-…

A: Compound Interest Formula is given as follows where A is the final amount P is the initial…

Q: A ball is thrown upward at an initial velocity of 8.4 m/s, from a height of 1.5m above the ground.…

A: To find when the ball lands on the ground, we need to determine the time (t) when the height (h)…

Q: K The graph of a polynomial f(x) with integer zeros is shown in the figure to the right. Write its…

A:

Q: = Find the area of the region inside the blue circle r 2 cos but outside the red circle r = 1 shown…

A:

Q: (b) (c) оооооо оооооо Switzerland 90-degree, 180-degree, and 270-degree rotation symmetry horizontal…

A: This is question of geometry Here flag of country is given.We have to check it if that is…

Q: What is the area of this figure? 5 m 3 m 3 m 5 m 2 m 2 m 3 m 10 m Write your answer using decimals,…

A:

Q: A) Use Green's theorem to compute the area inside the ellipse Use the fact that the area can be…

A:

Q: Given the function f described by f(y) = - 4y + 7, find the following. f(y + 1) f(y + 1) = (Simplify…

A:

Q: y is the function of X (1 , 02 (2, 4) B₁ 5 ) (4, 3) 65, 2) find the domain and range

A:

Q: The table below shows the height, h(t), in meters, of an object that is thrown off the top of a…

A: We have to find the equation of quadratic regression.

Q: How much would you need to deposit in an account each month in order to have $30,000 in the account…

A: How much would you need to deposit into an account each month in order to have $30,000 in the…

Q: have one real eigenvalue of multiplicity 2? k = A -5 = - [3 k] 4

A:

Q: Given Principal $10,000, Interest Rate 8%, Time 240 days (use ordinary interest) Partial payments:…

A: i HAVE APPENDED THE CONCEPT USED IN THE SOLUTION PROCEDURE OF THE QUESTION.

Q: Let's say that a 14-ounce cup of coffee is 20% milk. If you add 7 ounces of coffee, what is the…

A:

Q: Given the function y = f(x) = (x − 2)(x + 5)(x-7) ts y-intercept is Give the y-intercept as an…

A: The given function is

Q: The graph of f is given below. Use the graph to determine the following characteristics of f. If a…

A:

Q: Tony wants to build a rectangular enclosure for his animals. One side of the pen will be against the…

A:

Q: Find the absolute minimum and maximum values of f(x)=Inx-(x^2)/2 on the interval [e^-1, e^2].…

A:

Q: Use your graphing calculator to solve the equation graphically for all real solutions. x³6x² + 6x +…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: Apply the secant method to solve for the root of f(x) = x². – 5x inside [46] for 5 iterations. T

A:

Q: (x+y) 5 find the third term

A: The given expression is

Q: Use the given graph of to determine the function's domain, range, x-intercept(s), y-intercept, and…

A:

Q: For each value of u, determine whether it is a solution to 2(u-8)= -2. u Is it a solution? X 3

A:

Q: 45. t The concentration C of a drug in a patient's bloodstream t hours after injection is given by C…

A: The concentration C of a drug in a patient's bloodstream t hours after the injection is given by

Q: Solve by using the quadratic formula. 50-8x=4x2

A: 50−8x=4x22x2+4x−25=0

Q: A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends…

A:

Q: 1 A = 3 4 -56 If E=AC, €2,2= B = 1 2 P -3 8 C= -14 -49 30 36

A: If , then to find the common element of the second rowand the second column () in matrix .

Q: K Use the rules of exponent to complete the blank below. A (9x) = 9* (Simplify your answer. Type…

A:

Q: Sölve the equation. x²+2x+8=0 ... x= -1+√7.-1-inT (Use a comma to separate answers as needed. Type…

A:

Q: Yana's yogurt store sells a cup of yogurt for $4 and charges .75 cents for each additional…

A: 1 dollar = 100 cents75 cents = 0.75 dollarsThe price of a cup of yogurt is $ 4.Charges for 1 topping…

Q: Solve by using the quadratic formula. v2=18v-28

A: The given Quadratic equation  is

Q: 1. Compute ged (935, 1122)

A:

Q: A deposit of $100 is placed in a savings account. Each month, the amount deposited is doubled. Write…

A:

Q: Translate the phrase Into an algebraic expression. The quotient of c and 5 ロ ローロ X ローロ 5

A: The given statement is "The quotient of c and 5"