You have invested money in a savings account that pays a fixed monthly interest on the account balance. The following table shows the account balance over the first 5 months. Time in months Savings balance 0 $1500.00 1 $1518.00 2 $1536.22 3 $1554.65 4 $1573.31 5 $1592.19 (a) Show that the data are exponential. (Round your answer to three decimal places.)          Each successive ratio of new/old is _______, which shows that the data is exponential. Find an exponential model for the account balance. (Let t be the time in months and B the savings balance in dollars. Round your parameters to three decimal places.) B(t) =  (b) What is the monthly interest rate? (Round your answer to one decimal place.)  _________% (c) What is the yearly interest rate? (Round your answer to one decimal place.)  ________%

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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.