You initiall invest $300 in a savings account that pays a yearly interest rate of 5%. a) write a formula for an exponential function giving the balance in your account as a function of the time since your initial investment. (let B be the account balance in dollars and t e the number of years since the initial investment.  B(t) = ___________ dollars b) what monthly interest rate best represents this account? round answer 3 decimal places. c) calculate the decade growth factor. round answer 2 decimal places d) use the formula you found in part a to determine how long it will take for the account to reach $489 e) at the end of one decade there will be $_

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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.