Phil Pittman is interested in a fixed-rate mortgage for $200,000. He is undecided whether to choose a 15- or 30-year mortgage. The current mortgage rate is 4.5% for the 15-year mortgage and 5% for the 30-year mortgage. (Round your answers to the nearest dollar. Use this table, if necessary.) (a) What are the monthly principal and interest payments (in $) for each loan? 15-year mortgage$ 30-year mortgage$  (b) What is the total amount of interest (in $) paid on each loan? 15-year mortgage$ 30-year mortgage$  (c) Overall, how much more interest (in $) is paid by choosing the 30-year mortgage? $

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
icon
Concept explainers
Topic Video
Question
100%
Phil Pittman is interested in a fixed-rate mortgage for $200,000. He is undecided whether to choose a 15- or 30-year mortgage. The current mortgage rate is 4.5% for the 15-year mortgage and 5% for the 30-year mortgage. (Round your answers to the nearest dollar. Use this table, if necessary.)
(a)
What are the monthly principal and interest payments (in $) for each loan?
15-year mortgage$ 30-year mortgage$ 
(b)
What is the total amount of interest (in $) paid on each loan?
15-year mortgage$ 30-year mortgage$ 
(c)
Overall, how much more interest (in $) is paid by choosing the 30-year mortgage?
Table 14-1: Monthly Payments to Amortize Principal and Interest per $1,000 Financed
Monthly Payments
(Necessary to amortize a loan of $1,000)
Interest
5
10
15
20
25
30
35
40
Rate (%)
Years
Years
Years
Years
Years
Years
Years
Years
3.50
18.19
9.89
7.15
5.80
5.01
4.49
4.13
3.87
3.75
18.30
10.01
7.27
5.93
5.14
4.63
4.28
4.03
6.06
6.19
4.77
4.00
4.25
5.28
5.42
18.42
10.12
7.40
7.52
4.43
4.58
4.18
18.53
10.24
4.92
4.34
4.50
18.64
10.36
7.65
6.33
5.56
5.07
4.73
4.50
4.75
18.76
10.48
7.78
6.46
5.70
5.22
4.89
4.66
5.00
18.87
10.61
7.91
6.60
5.85
5.37
5.05
4.82
8.04
8.17
5.25
18.99
10.73
6.74
5.99
5.52
5.21
4.99
5.50
19.10
10.85
6.88
6.14
5.68
5.37
5.16
5.75
19.22
10.98
8.30
7.02
6.29
5.84
5.54
5.33
6.00
19.33
11.10
8.44
7.16
6.44
6.00
5.70
5.50
6.25
19.45
11.23
8.57
7.31
6.60
6.16
5.87
5.68
6.50
19.57
11.35
8.71
7.46
6.75
6.32
6.04
5.85
6.75
19.68
11.48
8.85
7.6
6.91
6.49
6.21
6.03
7.00
19.80
11.61
8.99
7.75
7.07
6.65
6.39
6.21
11.74
11.87
7.25
19.92
9.13
7.90
7.23
7.39
6.82
6.56
6.40
7.50
20.04
9.27
8.06
6.99
6.74
6.58
7.75
20.16
12.00
9.41
8.21
7.55
7.16
6.92
6.77
8.00
20.28
12.13
9.56
8.36
7.72
7.34
7.10
6.95
8.25
20.40
12.27
9.70
8.52
7.88
7.51
7.28
7.14
8.50
20.52
20.64
12.40
9.85
9.99
8.68
8.05
7.69
7.87
7.47
7.33
8.75
12.53
8.84
8.22
7.65
7.52
9.00
20.76
12.67
10.14
9.00
8.39
8.05
7.84
7.71
12.80
12.94
13.08
9.25
20.88
10.29
9.16
8.56
8.23
8.03
7.91
9.50
21.00
10.44
9.32
8.74
8.41
8.22
8.10
9.75
21.12
10.59
9.49
8.91
8.59
8.41
8.30
9.65
9.82
10.00
21.25
13.22
10.75
9.09
8.78
8.60
8.49
10.25
21.37
13.35
10.90
9.26
8.96
8.79
8.69
10.50
21.49
13.49
11.05
9.98
9.44
9.15
8.98
8.89
10.75
21.62
13.63
11.21
10.15
9.62
9.33
9.18
9.08
11.00
21.74
13.78
11.37
10.32
9.80
9.52
9.37
9.28
11.25
21.87
13.92
11.52
10.49
9.98
9.71
9.56
9.48
14.06
14.20
11.50
21.99
11.68
10.66
10.16
9.90
9.76
9.68
11.75
22.12
11.84
10.84
10.35
10.09
9.96
9.88
12.00
14.35
14.49
10.08
10.29
22.24
12.00
11.01
10.53
10.29
10.16
12.25
22.37
12.16
11.19
10.72
10.48
10.35
12.50
22.50
14.64
12.33
11.36
10.9
10.67
10.55
10.49
12.75
22.63
14.78
12.49
11.54
11.09
10.87
10.75
10.69
13.00
22.75
14.93
12.65
11.72
11.28
11.06
10.95
10.90
Transcribed Image Text:Table 14-1: Monthly Payments to Amortize Principal and Interest per $1,000 Financed Monthly Payments (Necessary to amortize a loan of $1,000) Interest 5 10 15 20 25 30 35 40 Rate (%) Years Years Years Years Years Years Years Years 3.50 18.19 9.89 7.15 5.80 5.01 4.49 4.13 3.87 3.75 18.30 10.01 7.27 5.93 5.14 4.63 4.28 4.03 6.06 6.19 4.77 4.00 4.25 5.28 5.42 18.42 10.12 7.40 7.52 4.43 4.58 4.18 18.53 10.24 4.92 4.34 4.50 18.64 10.36 7.65 6.33 5.56 5.07 4.73 4.50 4.75 18.76 10.48 7.78 6.46 5.70 5.22 4.89 4.66 5.00 18.87 10.61 7.91 6.60 5.85 5.37 5.05 4.82 8.04 8.17 5.25 18.99 10.73 6.74 5.99 5.52 5.21 4.99 5.50 19.10 10.85 6.88 6.14 5.68 5.37 5.16 5.75 19.22 10.98 8.30 7.02 6.29 5.84 5.54 5.33 6.00 19.33 11.10 8.44 7.16 6.44 6.00 5.70 5.50 6.25 19.45 11.23 8.57 7.31 6.60 6.16 5.87 5.68 6.50 19.57 11.35 8.71 7.46 6.75 6.32 6.04 5.85 6.75 19.68 11.48 8.85 7.6 6.91 6.49 6.21 6.03 7.00 19.80 11.61 8.99 7.75 7.07 6.65 6.39 6.21 11.74 11.87 7.25 19.92 9.13 7.90 7.23 7.39 6.82 6.56 6.40 7.50 20.04 9.27 8.06 6.99 6.74 6.58 7.75 20.16 12.00 9.41 8.21 7.55 7.16 6.92 6.77 8.00 20.28 12.13 9.56 8.36 7.72 7.34 7.10 6.95 8.25 20.40 12.27 9.70 8.52 7.88 7.51 7.28 7.14 8.50 20.52 20.64 12.40 9.85 9.99 8.68 8.05 7.69 7.87 7.47 7.33 8.75 12.53 8.84 8.22 7.65 7.52 9.00 20.76 12.67 10.14 9.00 8.39 8.05 7.84 7.71 12.80 12.94 13.08 9.25 20.88 10.29 9.16 8.56 8.23 8.03 7.91 9.50 21.00 10.44 9.32 8.74 8.41 8.22 8.10 9.75 21.12 10.59 9.49 8.91 8.59 8.41 8.30 9.65 9.82 10.00 21.25 13.22 10.75 9.09 8.78 8.60 8.49 10.25 21.37 13.35 10.90 9.26 8.96 8.79 8.69 10.50 21.49 13.49 11.05 9.98 9.44 9.15 8.98 8.89 10.75 21.62 13.63 11.21 10.15 9.62 9.33 9.18 9.08 11.00 21.74 13.78 11.37 10.32 9.80 9.52 9.37 9.28 11.25 21.87 13.92 11.52 10.49 9.98 9.71 9.56 9.48 14.06 14.20 11.50 21.99 11.68 10.66 10.16 9.90 9.76 9.68 11.75 22.12 11.84 10.84 10.35 10.09 9.96 9.88 12.00 14.35 14.49 10.08 10.29 22.24 12.00 11.01 10.53 10.29 10.16 12.25 22.37 12.16 11.19 10.72 10.48 10.35 12.50 22.50 14.64 12.33 11.36 10.9 10.67 10.55 10.49 12.75 22.63 14.78 12.49 11.54 11.09 10.87 10.75 10.69 13.00 22.75 14.93 12.65 11.72 11.28 11.06 10.95 10.90
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Application of Algebra
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education