Monthly Payment The model t = 16.625 ln x x - 750 , x > 750 approximates the length of a home mortgage of $150,000 at 6% in terms of the monthly payment. In the model, t is the length of the mortgage in years and x is the monthly payment in dollars. (a) Approximate the lengths of a $150,000 mortgage at 6% when the monthly payment is $897.72 and when the monthly payment is $1659.24. (b) Approximate the total amounts paid over the term of the mortgage with a monthly payment of $897.72 and with a monthly payment of $1659.24. What amount of the total is interest costs in each case? (c) What is the vertical asymptote for the model? Interpret its meaning in the context of the problem.
Monthly Payment The model t = 16.625 ln x x - 750 , x > 750 approximates the length of a home mortgage of $150,000 at 6% in terms of the monthly payment. In the model, t is the length of the mortgage in years and x is the monthly payment in dollars. (a) Approximate the lengths of a $150,000 mortgage at 6% when the monthly payment is $897.72 and when the monthly payment is $1659.24. (b) Approximate the total amounts paid over the term of the mortgage with a monthly payment of $897.72 and with a monthly payment of $1659.24. What amount of the total is interest costs in each case? (c) What is the vertical asymptote for the model? Interpret its meaning in the context of the problem.
Solution Summary: The author calculates the approximate length of a home mortgage with monthly payments of 897.72 and 1659.24.
Monthly Payment The model
t
=
16.625
ln
x
x
-
750
,
x
>
750
approximates the length of a home mortgage of $150,000 at 6% in terms of the monthly payment. In the model,
t
is the length of the mortgage in years and
x
is the monthly payment in dollars.
(a) Approximate the lengths of a $150,000 mortgage at 6% when the monthly payment is $897.72 and when the monthly payment is $1659.24.
(b) Approximate the total amounts paid over the term of the mortgage with a monthly payment of $897.72 and with a monthly payment of $1659.24. What amount of the total is interest costs in each case?
(c) What is the vertical asymptote for the model? Interpret its meaning in the context of the problem.
An airplane flies due west at an airspeed of 428 mph. The wind blows in the direction of 41° south of west
at 50 mph. What is the ground speed of the airplane? What is the bearing of the airplane?
A vector with magnitude 5 points in a direction 190 degrees counterclockwise from the positive x axis.
Write the vector in component form, and show your answers accurate to 3 decimal places.
||A||=23
45°
Find the EXACT components of the vector above using the angle shown.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY