Pregunta
upstudy study bank question image url

8. Noel Devine bought a new dishwasher for \( \$ 320 \). He paid \( \$ 20 \) down and made 10 monthly payments of \( \$ 34 \). What actual yearly interest rate did Noel pay?

Ask by Davies Simmons. in the United States
Jan 27,2025

Solución de tutoría real

Respuesta verificada por el tutor

Responder

Noel paid a 0% yearly interest rate.

Solución

To find the actual yearly interest rate that Noel Devine paid, we need to calculate the total interest paid and then divide it by the total amount borrowed. Given: - Initial price of the dishwasher = $320 - Down payment = $20 - Monthly payments = 10 payments of $34 each First, let's calculate the total amount borrowed: Total amount borrowed = Initial price - Down payment Total amount borrowed = $320 - $20 Total amount borrowed = $300 Next, let's calculate the total interest paid: Total interest paid = Total amount borrowed - Total monthly payments Total interest paid = $300 - ($34 * 10) Total interest paid = $300 - $340 Total interest paid = -$40 (This means Noel actually paid $40 less than the total amount borrowed, indicating a negative interest rate) Since the total interest paid is negative, it means that Noel actually received money back from the lender. Therefore, the actual yearly interest rate that Noel paid is 0%. So, the actual yearly interest rate that Noel paid is 0%.

Revisado y aprobado por el equipo de tutoría de UpStudy

error msg
Explicar
Simplifique esta solución

Extra Insights

To find the actual yearly interest rate that Noel paid on his dishwasher, we first need to calculate the total amount he paid for it. He made a down payment of $20 and then paid $34 for 10 months, which totals to $340. Adding the down payment, the total cost is \( \$20 + (10 \times 34) = \$20 + \$340 = \$360 \). Next, we find the amount financed, which is the total cost minus the down payment: \( \$320 - \$20 = \$300 \). To find the interest paid, subtract the amount financed from the total amount paid: \( \$360 - \$320 = \$40 \). Now to find the interest rate, we can use the formula for the annual percentage rate (APR). The interest for one year on the principal amount can be found by taking the total interest ($40) divided by the principal ($300), multiplied by the number of periods (12 months for a year). This gives us \( \frac{40}{300} \times 12 \), which equals \( 0.16 \) or 16% for the year. Thus, the actual yearly interest rate that Noel paid is 16%.

preguntas relacionadas

¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad