Pregunta
upstudy study bank question image url

Anny takes out a loan of \( \$ 1,200 \), at \( 4 \% \) interest, for 54 months. Use the formula \( M V=P+I \) to find the maturity value (in \( \$ \) ). \( \$ \) Need Help? Read it Wateh it Master It SUBMIT ANSWER

Ask by Vaughn Bernard. in the United States
Feb 27,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The maturity value is \$1,416.

Solución

We are given:  Principal, P = \$1,200  Annual interest rate = 4% = 0.04  Loan time = 54 months = 54/12 = 4.5 years The formula for maturity value is:  MV = P + I First, calculate the interest, I, using simple interest:  I = P × r × t  I = 1200 × 0.04 × 4.5  I = 1200 × 0.18  I = \$216 Now, compute the maturity value:  MV = P + I  MV = 1200 + 216  MV = \$1416 So, the maturity value is \$1,416.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

The Deep Dive

To calculate the maturity value (MV) of Anny's loan, we first need to determine the interest (I) using the formula \( I = P \cdot r \cdot t \), where \( P \) is the principal amount (\$1,200), \( r \) is the interest rate (4% or 0.04), and \( t \) is the time in years. In this case, 54 months is equal to \( 54/12 = 4.5 \) years. Now, let's calculate the total interest: \( I = 1200 \times 0.04 \times 4.5 = 120 \). Now, plug that back into the maturity value formula: \( MV = P + I = 1200 + 120 = 1320 \). So, the maturity value is \( \$1,320 \). It's fascinating to see how loans work, isn’t it? Interest is essentially the cost of borrowing money, and knowing how to calculate it can save you a lot of cash over time. Whether for personal loans, mortgage payments, or credit cards, understanding interest calculation can help you make better financial decisions! If you're eager to dive deeper, consider exploring more about different types of interest rates such as simple vs. compound interest, and how they can impact loans and savings differently over time. Websites dedicated to financial literacy, such as the National Endowment for Financial Education, offer fantastic resources and interactive tools to help you master the concepts!

Latest Arithmetic Questions

¡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