\( \begin{array}{l}\$ 1000 \text { are deposited in an account with a } \\ 8.5 \% \text { interest rate, compounded } \\ \text { continuously. } \\ \text { Now enter } t \text {, or the number of years in the bank. } \\ t=[?]\end{array} \)
Solución de tutoría real
Responder
Solución
¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.
Revisado y aprobado por el equipo de tutoría de UpStudy
Beyond the Answer
Did you know that the formula for continuously compounded interest is given by \( A = Pe^{rt} \)? In this case, \( P \) is the principal amount (\$1000), \( r \) is the interest rate (0.085), and \( A \) is the amount in the account after \( t \) years. By plugging in your values, you can calculate how much money you'll have after any number of years! When working with continuously compounded interest, a common mistake is neglecting to convert the percentage rate into a decimal form. Remember, 8.5% becomes 0.085. Always double-check your calculations, especially when solving for \( t \). It's easy to make arithmetic errors, and the value of money should never be underestimated!