
Concept explainers
In Exercises 1-10, use
Round answers to the nearest dollar.
Suppose that you are thinking about buying a new car have narrowed down your choices to two options:
The new-car option: The new-car costs $68,000 and can be financed with a four-year loan at 7. 14%.
The used-car option: A three-year old model of the same car costs $ 28,000and can be financed with a four-year loan at 7.92%.
What is difference in monthly payments between financing the new car and financing the used car?

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Chapter 8 Solutions
Thinking Mathematically (6th Edition)
- Please answer with complete solutionarrow_forwardFind parametric equations for the line through the point (0, 2, 2) that is perpendicular to the line x=3+t, y 2-t, z=3t and intersects this line. (Use the parameter t.) (x(t), y(t), z(t)) = ( t,2 — t,2 + 2t )arrow_forwardLet P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is |a x bl d |a| where a = QR and b = QP. Use the above formula to find the distance from the point to the given line. d = (0, 1, 3); x = 2t, y = 6 - 2t, z = 3 + tarrow_forward
- 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
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