**COLLEGE ****TUITION**** PROJECT**

10/01/2018

Math 3

Ethen Choy

**COLLEGE ****TUITION**** PROJECT**

10/01/2018

Math 3

Ethen Choy

WHY NCSU?

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North Carolina State University

(NCSU)

I want to go here for the good Industrial Design department. Designing electronics and tech is one of my dreams. Additionally, NC State has one of the best computer science departments, another of my interests.

MY CHOICE

$4550.30

*Tuition for one semester (full-time resident)*

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**OTHER PRICES TO PAY**

**LOANS**

$30,000 in Direct Unsubsidized loans for 13 years, paying the lower costs for the 3 years in college + 10 years afterward.

$26,928 in Direct PLUS loans that allow for paying after the college years.

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x=156 (12 months * 13 years)

**MONTHLY PAYMENT FORMULA**

http://financeformulas.net/Loan_Payment_Formula.html

+ - * /

We start by calculating our first loan.

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**SUBSIDIZED**

**EQUATION**

Plugging in these values into the formula we get:

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To simplify this equation, we substitute some fractions for variables:

To simplify this, I will change some fractions into variables:

Thus, we get:

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This simplified form allows for easy inverting:

*Exponential Form*

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*Logarithmic** Form*

**SUBSIDIZED**

**GRAPH**

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*Logarithmic*

*Exponential*

As we can see here, the two equations are clearly inverses.

**EVALUATE**

Total Interest Paid: $11,413.32

Total Amount Paid: $41,413.32

*That's a lot of interest...*

Plugging in 156 for our x (n) we get :

*$265.47*

/month for 10 years

**Direct PLUS**

**EQUATION**

Plugging in these values into the formula we get:

Again, to simplify this equation, we substitute some fractions for variables:

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/month for 10 years

To simplify this, I will change some fractions into variables:

Thus, we get:

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This simplified form allows for easy inverting:

*Exponential Form*

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*Logarithmic** Form*

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**Direct PLUS**

**GRAPH**

*Logarithmic*

*Exponential*

As we can see here, the two equations are clearly inverses.

I could buy a car with that kind of money!!!

**EVALUATE**

Total Interest Paid: $25,283.64

Total Amount Paid: $52,211.64

Plugging in 120 for our x (n) we get :

*$334.69*

/month for 10 years