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1. After starting to turn significant profit, Lumyn Electronics decided that an investment account for their future expansion plans is now necessary. The company's goal is to expand to a major mall location for which $100,000 would be needed. If the investment account pays 12% interest compounded monthly, what would their initial investment have to be in order to reach their $100,000 goal in 5 years?
2. Lumyn Electronics is now using social networking to expand their reputation and reach new potential customers. The company has found that the number N of new potential customers in their 12,000 people community that have heard of their company can be modeled by the equation
N = 12,000(1 - e-0.0008t)where t is the number of days elapsed since starting using social networking. How long will it take for 100 new potential customers to have heard of the company?
A cylindrical container 1.7 {rm m} tall contains mercury to a certain depth, d. The rest of the cylinder is filled with water. If the pressure at the bottom of the cylinder is two atmospheres, what is the depth d?
a plane flying with a tailwind flew at a speed of 460 mph, relative to ground. When flying against the tailwind, it flew at a speed of 310mph. Find the speed of the tailwind.
The heights of a certain species of plant are normally distributed, with mean 23 cm and standard deviation 1 cm. What is the probability tha a plant chosen at random
A water storage tank has the shape of a cylinder with diameter 18 ft. It is mounted so that the circular cross-sections are vertical. If the depth of the water is 10 ft, what percentage of the total capacity is being used?
What is the central angle of a circle wih an arc length of 29.21 and the circumference of 40.44 ?
Compare the mean of the sample means with the population mean.
What is the loss on each remaining policy for the second year, assuming all of the healthy policyholders at age 51 lapse the policy at that time, and none of the unhealthy ones do
you are reducing a map of dimensions 2ft by 3ft to fit to a piece of paper 8 in by 10 in. What are the dimensions of the largest possible map that can fit on the page.
At a theater, the giant rectangular movie screen has a width 25 feet less than its length. If its perimeter is 318 feet, find the area of the screen.
a. find a function s given by st a cos ?t that models the displacement of the weight.b. evaluate s1. is the weight
Drum Tight Containers is designing an open-top, square-based, rectangular box that will have a volume of 171.5 in3. What dimensions will minimize surface area? What is the minimum surface?
the perimeter of a rectangle is 202 inches the length execeeds the width by 81 inches. what is the length and the width in inches.
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