MGF2106_Project_4_AnswerSheet
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School
Daytona State College *
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Course
MGF2106
Subject
Mathematics
Date
Jan 9, 2024
Type
docx
Pages
4
Uploaded by KidArmadilloMaster1026
MGF2106 Survey of Mathematics: Project 4 Answer Sheet
Directions
Fill in your work and answers in the space provided for each part and each question for Project 4. Once you have filled in the relevant information please save and upload to the Project 4 Assignment folder in Falcon Online.
Name(s): ___________________________
Part 1: Solve Applications using Linear Equations
Problem 1
1.
a.
The value of x=5.
b.
The cost to build in 2015 is $4,300,001.55.
c.
The revenue for selling homes in 2015 is $8,000,000.40.
d.
The profit made in 2015 is $3,699,998.85
e.
Their net profit margin for 2015 is 46.24%.
2.
a.
The value of x=11.
b.
The cost to build in 2021 is $4,300,003.41.
c.
The revenue for selling homes in 2021 is $8,000,000.88.
d.
The profit made in 2021 is 3699997.47.
e.
Their net profit margin in 2021 is 46.24%.
3.
a.
b.
4.
a.
The predicted net profit margin in 2026 is 46.24%.
b.
The company will make money but it will be a little less than the year previous. It will be a little less because every year the cost of building homes is going up. While the revenue is going up less the cost of building homes.
Part 2: Demonstrate an Understanding of Descriptive Statistics
Problem 2
1.
a.
The mean is 30.43.
b.
The median is 30 c.
There is no mode.
d.
The standard deviation is 7.38.
2.
a.
The mean is 29.3.
b.
The median is 31. c.
The mode is 32.
d.
The standard deviation is 5.53.
Problem 3
1.
a.
The mean of closing prices is $9.97.
b.
The standard deviation of the closing prices is 1.91.
2.
a.
$6.15
b.
$13.79
c.
3.
The annual dollar amount you earn is $500.
4.
5.
Part 3: Solve Application Problems Involving Interest
Problem 4
1.
a.
The mortgage payment on a 15 year loan is $2,187.
b.
The mortgage payment on a 30 year loan is $1,295.
c.
The interest paid on a 15 year loan is $65,675.
d.
The interest paid on a 30 year loan is $138,734
2.
a.
The mortgage payment on a 15 year loan is $2,467
b.
The mortgage payment on a 30 year loan is $1,613
c.
The interest paid on a 15 year loan is $116,179.
d.
The interest paid on a 30 year loan is $253,089
3.
a.
Total
Principal
Interest
Month 1
$1,295
$909.63
$385.37
Month 2
$2590
$1819.26
$770.74
Month 3
$3885
$2728.89
$1156.11
Month 4
$5180
$3638.52
$1541.48
Month 5
$6425
$4548.15
$1926.85
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Month 6
$7770
$5457.78
$2312.22
b.
Total
Principal
Interest
Month 1
$1,613
$909.97
$703.03
Month 2
$3,226
$1819.94
$1,406.06
Month 3
$4,839
$2,729.91
$2,108.09
Month 4
$6,452
$3,639.88
$2,812.12
Month 5
$8,065
$4,549.85
$3,515.15
Month 6
$9,678
$5,459.82
$4,218.18