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You decide to start a 401k account. You begin with an initial investment of $5000, and you continuously add to it at a rate of $1000 per year. At the same time, the account accrues interest at a continuous rate of 5% annually. Let V (t) be the value of the account t years after starting it.
(i) Set up a differential equation which describes dV/dt in terms of V .
(ii) This is a separable differential equation. Solve it to get a general formula for V (t). Be sure to keep the necessary constant around.
(iii) Use the initial value to find the constant and get a precise formula for V (t).
(iv) When will the 401k be worth $50,000?
The height in feet for a ball thrown upward at 48 feet per second is given by s(t)=-16t^(2)+48t, where t is the time in seconds after the ball is tossed.
Conduct a search at GlobalEdge.msu.edu to identify the current import policies, tariffs and trade restrictions in FINLAND. Other useful sites include the World Trade Organization (www.wto.org). Enter FINLAND in the WTO search box (top right corner)..
Determine the current settings and TMSs for the relays shown if theoperating time of the directional overcurrent relays on the 3.3 kV sideof the transformers is 0.5 s.
After a sale, the price of a stereo was marked up $35 to a regular price of $310. What was the sale price?
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There are 410 feet of fencing available for the other three sides of the enclosure. Find the dimensions of the outdoor enclosure with the most area.
Show that the Substitution Leads to Hermite's Equation, In quantum mechanics, you will work with the following differential equation
Probability that a Randomly Selected American Lives in WA. Essay. According to the U. S. Census Bureau, the total 2008 U.S. population was 303,824,640. The chart below summarizes the 2008 population for five U.S. States.
Application of calculus
how to clarify a rotated conic section.give a detailed description of how linear transformations can be used to study
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