In 1626, Peter Minuit purchased Manhattan Island from the Native Americans for $24 worth of trinkets and beads. Find what the $24 would be worth in the year 2020 if it had been deposited in a bank paying 4% interest compounded quarterly. (Round your answer to the nearest dollar.)

Q: Use a finite approximation to estimate the area under the graph of the given function on f(x) = -1/2…

A: We need to find area under the curve.

Q: Identify the coordinates of the point in polar form based upon the given conditions. Use pi for T.…

A:

Q: 6. Let f be a function such that f(1) = 1, ƒ′(1) = 4, ƒ”(1) = −2 and ² ƒ""(t)(2 – t)²dt = 3. Find…

A:

Q: 7) f(x) = x(x + 3)²(x-7)4 Degree: End behavior: lim f(x) =_ x48 Leading coefficient: lim f(x) =_…

A:

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a…

A: Maclaurin series of function fx is a Taylor series of function fx at:…

Q: Given vectors u = (-33, 6) and v = (-19,5), find vector u — v.

A: To find the vector difference

Q: 翻转 替换图片 透明度。 删除 Solve for ax: 退出编辑 9 8 n=1 4x117 = 16

A:

Q: Cumulative world production of solar cells for generating electricity is predicted to be 58e0.43t…

A: According to question,Given Function,y = 58 e0.43 t

Q: Use the ratio test to find the radius of convergence of the power series R= ✓ (If the radius is…

A:

Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 4 in ²2. The smallest…

A: let the dimensions are length = y breadth = x Given area ( A ) = 4

Q: Find the equation of the plane thru Q = (-1,2,4), P = (1,1,1), and R = (1,3,5) Find the area of the…

A: Given that P=(1, 1,1)    Q=(-1, 2,4)    R=(1, 3,5)    1)    Equation of a plane is ax+by+cz+d=0

Q: 2 ‚ ( ² + + + + ) ² = (-²/² - C y lim (x,y)→(3,4) ▼ x

A: To evaluate the following limit.limx, y→3, 4 1x+1y2

Q: Given the vector u = (2√3, —2), find the magnitude and direction of u. Provide your answer below: U…

A:

Q: what is the interest rate on an account that took 15 years to double if interest was compounded…

A: Let $P0 is invested for t years with r% interest rate compounded continuously. Then total value…

Q: question 30 Find the area enclosed by the curves f(x) = 37 - x^2 and g(x) = x^2 The area (rounded…

A: Given functions fx=37-x2,gx=x2

Q: An oil-producing country can sell 7 million barrels of oil a day at a price of $90 per barrel. If…

A:

Q: 5 If ["f 5 1 [²1(x) f(x) dx = 9.2 and nd [* f(x) dx = 5.7, find f(x) dx.

A:

Q: otal daily cost (in dollars) of producing a mountain bikes is given by C(x) = 1,095 + 6 x+ 0.08 x².…

A: To solve the following problem

Q: A lottery game has players selecting 5 numbers at random from the numbers 1-65. The state picks 20…

A: Please see the below picture for detailed solution.

Q: Given the vectors u = -3i + 2j, v = -2i - j, and w = -4j Find u - 3v + w

A: Given the vectors u=-3i+2j, v=-2i-j, and w=-4jTo find u-3v+w.

Q: Determine which of the following is the particular solution for the differential equation (D² -…

A:

Q: Let g(x) be the inverse function to the differentiable function f(x). If f(0) = 1 and f'(0) = 3,…

A: Given: f(0)=1, f’(0)=3 and g(x) is the inverse of f(x) To find: g’(1)

Q: Solve the following differential equation. 2xy - 9x² + (2y + x² +1) dy dr = 0

A: We know that exact differential equation is M(x,y)dx + N(x,y)dy = 0. If differential equations is…

Q: Amanda invests $7000 in a new savings account which earns 5.0% annual interest, compounded…

A:

Q: Consider the following. می شود du = x²(x³ + 1)3/2 dx Let u = x³ + 1. Find du. dx Indicate how the…

A:

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A:

Q: 4 Find the equation of each graph after the given transformation. a y = 3x² after a stretch parallel…

A: Let's find equation of each graph after the given transformation.

Q: Find the general solution of (y^2 – xy)dx + x^2dy = 0.

A: Given differential equation (y2–xy)dx+x2dy=0(y2–xy)dx = -x2dydydx = (y2–xy)-x2dydx = ( xy - y2 )x2

Q: Which shows the angle 135° in standard position? O A. O B. 0 с. Ї Which shows the angle an in…

A:

Q: . For the given triangle, find the exact value of all six trigonometric functions. Function sin 0…

A:

Q: 8 3s²+12 + 3 $²+49

A:

Q: Determine which of the following is the particular solution for the differential equation (D²- 2D+4)…

A:

Q: (a) Find parametric equations for the line through (3, 1, 8) that is perpendicular to the plane x -…

A: For xy-plane, z=0. For yz-plane, x=0. For xz-plane, y=0.

Q: Please show more steps to how you got the standard equation. Shouldn't it be 51/5 and 85/3

A:

Q: Q1 -/m 3 SoNe |3x+1|-4=1

A:

Q: Find the dimensions of a right circular cylinder of maximum volume that can be inscribed in a sphere…

A:

Q: g'(2) = g(x) = x + 4

A: dxndx=nxn-1g(x)=x+4x2g(x)=x+4x-2

Q: Find an equation of the plane. The plane through the point (8, 0, 1) and perpendicular to the line x…

A: Please see the below picture for detailed solution.

Q: Given the graph of f(x) and the labeled areas, 12 find 7 0 f(x)dx 12 [ f(x)dx= 0 [] A=12 B=6

A:

Q: The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km)…

A:

Q: Determine which of the following is the particular solution for the differential equation (D² -…

A:

Q: Set up the definite integral required to find the area of the region between the graph of y=x²-14…

A: formula for area is A= ∫abf(x)-g(x)dx

Q: Which of the limits is equivalent to the following definite integral? Se e² dr Choose 1 answer: B…

A: To determine the limits which is equivalent to the following definite integral.∫03ex dx

Q: Show that cos (π-x) = sin X 2

A: Prove; Cos(pi/2 -x)=Sinx.

Q: Let theta be an angle between vectors u = i + 4j, and v = -2i + j. What is Cos theta? What is sine…

A:

Q: Question Find the sum, if it exists, of the series. Select the correct answer below: 52 189 27 91…

A:

Q: What is the are between the graph of y=4x³+2 and the x-axis from x=1 to x=2

A:

Q: Inverse laplace 7/(s^2+7s+16)

A:

Q: The postal service will accept a box for domestic shipment only if the sum of its length and girth…

A: Let's find maximum volume.

Q: Given a vector v with initial point P(22, -21) and terminal point Q(-38, 23), write the vector in…

A: