A biotechnology investment, originally worth $30,000, grows continuously at the rate of 1,000e0.10t dollars per year, wheret is the number of years since the investment was made. (a) Find a formula for the value of the investment after t years. Vt) = (b) Use your formula to find the value of the investment after 7 years. (Round your answer to two decimal places.)

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.