Suppose Maji borrowed \( \$ 3,923.00 \), but you forgot what the interest rate was for the simple interest loan. If Maji ended up paying \( \$ 7,100.63 \) in total after 9 years. What was the interest rate of the loan? Record the rate as a percentage rounded to the nearest percent.
Solución de inteligencia artificial de Upstudy
Responder
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Extra Insights
To find the interest rate of the loan, we can use the formula for simple interest: \[ A = P(1 + rt) \] where: - \( A \) is the total amount paid, - \( P \) is the principal amount (initial loan), - \( r \) is the interest rate (as a decimal), - \( t \) is the time in years. In this case, we know: - \( A = 7,100.63 \) - \( P = 3,923.00 \) - \( t = 9 \) We need to solve for \( r \): \[ 7,100.63 = 3,923 \times (1 + 9r) \] First, divide both sides by 3,923: \[ \frac{7,100.63}{3,923} = 1 + 9r \] Calculating the left side: \[ 1.81013 \approx 1 + 9r \] Now, subtract 1 from both sides: \[ 0.81013 = 9r \] Finally, divide by 9: \[ r = \frac{0.81013}{9} \approx 0.09001 \] To convert the decimal to a percentage, multiply by 100: \[ r \approx 9.00\% \] Rounding to the nearest percent, the interest rate is approximately **9%**.
