# Math Paper

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• Topic: Compound interest, Linear programming, Harshad number
• Pages : 13 (1812 words )
• Published : November 27, 2011

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Derp university

Derp derpington
Human Resource Management

Research Paper is Business Mathematics 101
1st Tri Semester SY 2011-2012
Ms. derpina derp

TITLE PAGE
ACKNOWLEDGEMENTii
TOPICS
Simple Discount1
Simple Interest2
Four types of Interest available3
Compounded Amount and Compound Interest4
Linear Programming Problems
* Maximization6
* Minimization8
Forecasting by Trend Projection10

Acknowledgement

I would like to thank God for guiding and giving me motivation to do this math research paper; my friends for answering my questions about this paper; Dr. Masajo for giving me the opportunity to gain more knowledge; and my mother to constantly remind me to do better in college. I would like to thank my mentor, Ms. Grace Chong, for being my mentor and to aid me in my college life.

Simple Discount
Find the present value of \$3800 due in 6 months at 7% discount rate. A) F = \$3800
d = 7% = .07
t = 6 / 12 = 1/2

Formula: D = Fdt

Solution:
D = \$3800 (.07) (1/2)
D = \$133

P = F – D
P = \$3800 - \$133
P = \$3667

Discount \$2056.80 for 85 days at a discount rate of 6 ½ %
B) F = 2056.80
d = 6 ½ % = .065
t = 85 / 360 = 17 / 72 years

Formula: D = Fdt

Solution:
D = \$2056.80 (.065) (17/72)
D = \$31.57

P = F – D
P = \$2056.80 - \$31.57
P = \$2025.13

Simple Interest
Find simple interest on \$10,000 at the rate of 5% for 5 years. Also find the amount for 5 years. A) P = \$10,000
R = 5% = .05
T = 5 years = n = 5

I = PRT
I = \$10,000 (.05) (5)
I = \$2500

A = P + I
A = \$10,000 + \$2500
A = \$12,500

Find simple interest on \$15,600 for 1 ½ years at the rate of 8% per annum. Also find total amount. B) P = \$15,600
R = 8% = .08
T = 1 ½ = n = 1 ½

I = PRT
I = \$15,600 (.08) (1½)
I = \$1872

A = P + I
A = \$15,600 + \$1872
A = \$17472

4 Types of Interest Available
Find the different interest on \$1000 at 6% from June 23 2011 to September 21 2015.

A) Approximate number of days:

Year: 2015 – 2011 = 4
Month: 8 – 6 = 2
Days: 51 – 23 = 28

4 x 360 = 1440
2 x 30 = 60
28 = 28
= 1528 Days

B) Actual Number of days:

4 years x 365 days = 1463 days

January 30 – June 23 = 173 days
January 30 – September 21 = 263 days

1463 Days – 173 days = 1287 days
1287 Days + 263 days = 1550 days
= 1550 days

C) Io interest for approximate number of days:

Io = PRT
= \$1000 (.06) (1528/360)
Io = \$254.67

D) Ie interest for approximate number of days:

Ie = PRT
= \$1000 (.06) (1528/365)
Ie = \$251.18

E) Io interest for actual number of days:

Io = PRT
= \$1000 (.06) (1550/360)
Io = \$258.33

F) Ie Interest for actual number of days:

Ie = PRT
= \$1000 (.06) (1528/365)
Ie = \$254.79

Compounded amount and Compounded interest
Find the Compounded amount and compounded interest of \$1000 at 7% for 3 years

A)
B) Compounded Annually

P = \$1000
R = 7% = .07
T = 3 years = N = 3 x 1 = 3

A = P (1+i) ^ n
A = \$1000 (1+0.7) ^ 3
A = \$1225.043

I = A – P
I = \$1225.043 - \$1000
I = \$225.043

C) Compounded Semi – Annually

P = \$1000
R = 7 / 2 % = 3.5 = .035
T = 3 years = N = 3 x 2 = 6

A = P (1+i) ^ n
A = \$1000 (1+0.35) ^ 6
A = \$1229.36

I = A – P
I = \$1229.36 - \$1000
I = \$229.36

D) Compounded Quarterly

P = \$1000
R = 7 / 4% = 1.75 = .0175
T = 3 years = N = 3 x 4 = 12

A = P (1+i) ^ n
A = \$1000 (1+0.175) ^ 12
A = \$1231.44

I = A – P
I = \$1231.44 - \$1000
I = \$231.44

E) Compounded Monthly

P = \$1000
R = 7 / 12% = .5833 = .00583
T = 3 years = N = 3 x 12 = 36

A = P (1+i) ^ n
A = \$1000 (1+.00583) ^ 36
A = \$1232.78

I = A – P
I = \$1232.78 - \$1000
I = \$232.78

Compounded amount and Compounded interest
Find the Compounded amount and compounded interest of \$1500 at 5% for 3 years

A)
B) Compounded Annually

P = \$1500
R = 5% = .05
T = 3 years = N = 3 x 1 = 3

A = P (1+i) ^ n...