
Concept explainers
In Exercises 5-10, use
to determine the regular payment amount, rounded to the nearest dollar.
To pay off the $3600 credit card balance in Exercise 6, suppose that you can get a bank loan at 9.5% with a term of three years.
a. How much will you pay each month? How does this compare with your credit card payment in Exercise 6?
b. How much total interest will you pay? How does this compare with your total credit card interest in Exercise 6?

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Chapter 8 Solutions
Thinking Mathematically (6th Edition)
- Let L₁ be the line through the origin and the point (2, 0, -1). Let L₂ be the line through the points (1, -1, 1) and (6, 1, 5). Find the distance between L1 and L2. Need Help? Read It Watch Itarrow_forward(a) Let P be a point not on the line L that passes through the points Q and R. Show that the distance d from the point P to the line L is |a x bl |a| d where a = QR and b = QP. This answer has not been graded yet. (b) Use the formula in part (a) to find the distance from the point P(1, 1, 1) to the line through Q(0, 7, 6) and R(-1, 2, 6). 29.65arrow_forwardFind the area of the parallelogram with vertices K(1, 2, 2), L(1, 5, 4), M(6, 10, 4), and N(6, 7, 2).arrow_forward
- Find the area of the parallelogram with vertices A(-5, 4), B(-3, 7), C(1, 5), and D(-1, 2).arrow_forwardFind an equation of the plane. The plane through the point (8, 0, 4) and perpendicular to the line x = 3t, y = 6-t, z = 7 + 4tarrow_forwardFind an equation of the plane. The plane that passes through the line of intersection of the planes x-z=3 and y + 4z1 and is perpendicular to the plane x + y 2 = 4 5x+4y+3z 27 - Need Help? Read Itarrow_forward
- Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(3, 0, -2), Q(6, 2, 0), R(6, -1, 1), S(3, -3, 1) cubic units Need Help? Read It Watch Itarrow_forwardFind a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (8, -5, 2) and parallel to the vector 2 - 3 r(t) = (x(t), y(t), z(t)) = (3,2.7,3.1)+(33, − 1) -arrow_forwardFind the cross product a x b. a = (t, t², t³), b = (1, 4t, 9t²)arrow_forward
- Find the distance from the point to the given plane. (-3, 3, 2), x-2y-4z = 8arrow_forwardFind the volume of the parallelepiped determined by the vectors a, b, and c. a = (6,2,-3), с b = (0, 3, 3), c = (6, -2, 4) cubic units Need Help? Read It Watch Itarrow_forwardFind the cosine of the angle between the planes x + y + z = 0 and x + 2y + 3z = 9.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning

