If the price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings, what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate? What formula would you use? What is your r?

Respuesta :

Answer:

$229673.215

Step-by-step explanation:

Given : The price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings

To Find : what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate?

Solution:

Principal = $42000

Time = 5 years

Rate = 3% = 0.03

Formula : [tex]A=P(1+r)^t[/tex]

[tex]A_1=42000(1+0.03)^1[/tex]

[tex]A_1=43260[/tex]

[tex]A_2=42000(1+0.03)^2[/tex]

[tex]A_2=44557.8[/tex]                  

[tex]A_3=42000(1+0.03)^3[/tex]

[tex]A_3=45894.534[/tex]                

[tex]A_4=42000(1+0.03)^4[/tex]

[tex]A_4=47271.370[/tex]                

[tex]A_5=42000(1+0.03)^4[/tex]

[tex]A_5=48689.511[/tex]            

So , Marginal cost = 43260+44557.8+45894.534+47271.370+48689.511

Marginal cost = $229673.215

Hence the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate is  $229673.215