You deposit $5000 in an account earning 2% interest compounded continuously. How much will you have in the account in 10 years?

Q: Which of the following values is the directional derivative of f (x, y) = ln (x² + y² + z²) at the…

A: Given : A function fx, y, z = lnx2+y2+z2. The objective is to find the directional derivative of the…

Q: Find the standard deviation for the following data. Round your answer to 2 decimal places as needed…

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Q: Assume that a sample is used to estimate a population proportion p. Find the 99.5% confidence…

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Q: Consider the indefinite integral- dx: (x5 +2)° This can be transformed into a basic integral by…

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Q: Find the standard deviation. Give your answer to at least 3 decimal places

A: Given: Age, x freq, f 15 2 16 2 17 37 18 9

Q: Suppose that you are taking a course where the total class grade is the weighted average of your…

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Q: 60 students were surveyed about how many nights in a week they work on homework problems in their…

A: Given data…

Q: Frequency 10+ 8 2 1 7 13 19 25 31 37 data Based on the histogram above, what is the class width?…

A: Given histogram is

Q: Question 5 Solve the exact differential equation (-5 sin(x) -y sin(x) + 3 cos(x))dx + (cos(x))dy = 0…

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Q: 2. Let f: (0,-1→ R be a function defined by f (x) = x¯* for every x E (0,-1. Sketch its function…

A: This is a problem of the application of differential calculus.

Q: Data was collected for 40 randomly selected trees growing in the median strip of a busy freeway. The…

A: From the given histogram minimum possible tree height  = ?

Q: Present fcx) = sh x of its Taylor series as the sum centered at

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Q: Assume that a sample is used to estimate a population proportion p. Find the 99.9% confidence…

A: n=sample size=236 p^=56%1−α=0.999

Q: Pat made the substitution x – 4 = 5 sint in an integral and integrated to obtain f (x) dx = 12t – 2…

A: integrate

Q: List all possible values that could be roots of the polynomlal 4x*- 23x – 41x2 + 59x- 18 according…

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Q: Margo borrows $500, agreeing to pay it back with 8% annual interest after 211 days. How much…

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Q: ** Round your answers to the nearest penny. FOR EXAMPLE: $1300 should be typed as 1300.00 and…

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Q: 80 22 47 19 2 35 62 83 96 11 7

A: The given data is 80,22,47,19,2,35,62,83,96,11,7

Q: he sample Round to two decimal places. X 22 17 29 27 10 13 sample standard deviation = deviation of…

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Q: Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is…

A: From the histogram Find n =?

Q: Find the median for the following data. Round your answer to 2 decimal places as needed. 65 96 22 70…

A: Solution-: Given data: 65,66,67,96,71,30,22,79,5,70,61,43 We want to find median=?

Q: Let R be the region which is bounded by the graphs of y y = x2 and y = 4. SKETCH and find the AREA…

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Q: Suppose p is a prime and a and k are positive integers. Prove: If plak, then pk|ak.

A: Suppose p is prime. Let a and k are positive integers. If p|ak then we need to prove that pk|ak.

Q: Data was collected for 219 randomly selected 10 minute intervals. For each ten-minute interval, the…

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Q: As part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and…

A: given data a bag has 700 white and 400 red marbles total of 1100 marbles

Q: The general anti-derivative of the function f (x) - In(x) is given by x In( x)+ C Inx)-x+ C x In(x)…

A: The integral (anti derivative) of fx=lnx can be evaluated by using integration by parts. The…

Q: You are at an icecream shop which carries 25 flavors of icecream. In how many ways can 5 scoops be…

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Q: Prove that for all natural numbers n ≥ 5, (n + 1)! > 2n+3.

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Q: Fill in the missing information in the table below, with all APYS rounded to two decimal places. Use…

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Q: Given a point P (x0, f (x0)) on the curve of a differentiable function y-f (x), the x coordinate of…

A: Consider the point Px0,f(x0) on the curve of a differentiable function y=f(x).