A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the-0.071function S(t)=26+28c where t is the time (in years) since the stock was purchased. Find the average price of the stock over thefirst six years.The average price of the stock is $. (Round to the nearest cent as needed.)

Answered: Image /qna-images/answer/0ef150e9-e855-471b-a270-ec47d31c84ee.jpg

Answered: A stock analyst plots the price per…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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In a laboratory experiment, the population of bacteria in a petri dish started off at 9100 and is growing exponentially at 6% per day. Write a function to represent the population of bacteria after t days, where the hourly rate of change can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per hour, to the nearest hundredth of a percent. Function: f(t) = Growth % increase per hour Submit Answer attempt 1 out of 2 Privacy Policy Terms of Service Copyright C 2022 DeltaMath.com. All Rights Reserved. P Type here to search 81%
A ball is dropped from the top of a lighthouse that is 145 feet above sea level. The height (position) of the ball after t seconds can be found using the function s(t) = -16t² + 145 Write all answers in decimal form, rounded to three decimal places where appropriate. A. Find the average rate of change of the ball on the interval from 1 to 1.5 seconds. Include the units. B. Find the instantaneous rate of change of the ball 2 seconds after it is dropped. Include the units. C. Find the height of the ball 2 seconds after it is dropped. Include the units. Type your answers into the box below. Be sure to label your answers A, B, and C.
A student used f(x) = 5.00(1.012)* to show the balance in a savings will increase over time. What does the 5.00 represent? A. The interest the savings account earned for the first year B. The annual interest rate of the savings O C. The number of years the savings account has earned interest D. The starting balance of the savings
If inflation is 3.9%, Find current price of the item and the price 10 years from today. Use p(t)=600(1.039)t
$1000.00 is invested for at annual interest rate of × %. I the investment is worth $1500.00 after 15 years, what is the annual growth rate as a percentage (to one decimal place)?
The revenue (in dollars) from the sale of a infant car seats is given by R(x) = 70x -0.02x², 0≤x≤ 3500.
A person puts $6,500 in a savings account. The bank pays 7% annual interest compounded quarterly. nt r A = P (1+ 5)" A = 6, 500 (1.0175)t
A city's population was 28,500 people in the year 2015 and is growing by 950 people a year.(a) Give a formula for the city’s population, P, as a function of the number of years, t, since 2015. Do not use commas in your submitted answer. P= people. (b) What is the population predicted to be in 2020? P= people. (c) When is the population expected to reach 35,000? Round your answer to the nearest integer. The population will reach 35,000 in the year.
If Daniella opens a mutual fund account with a deposit of 15,000 and it promises to pay an annual interest rate of r% compounded on a monthly basis. Derive a function B, which shows the balance on Daniella's account the end of 6 years. Make a comparison of the rates of change in B with respect to the interest rate when r is 8%, 10% and 12%.
The amount of a substance remaining (in grams) is given by the functionP (t) = 1.9(.89)^t/2where t is in seconds. What is the half-life of this substance?A. 22.912 secondsB. 8.264 secondsC. 2.974 secondsD. 0.336 secondsE. 11.896 second
Suppose you plan to upgrade a new phone when your IPhone X loses half of its value. Use P(t) to determine algebraically in how many months this will happen. Show all work. P(t)=720(.9692)t
A principal of 250 OR is deposited in an account that pays 0.064 interest compounded yearly. Account balance function in response of time (years)is f(x) = P(1+r)* P: initial value r: interest compounded yearly x: time in year a. Find the account balance after 5 years. b. By graphing show if the Account balance function is increasing or decreasng. c. After how many years the account balance will be 12000 OR.

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