Barb is a freshman attending a 4-year college. She has been approved for a $12000 subsidized federal loan at 4.29% for 10 years. How much will the U. S. Department of
Education pick up in interest costs during her 4.5-year non-payment period?

The amount in interest accruable to the U.S. Department of Education after 4.5 years is $2,882.33

Step-by-step explanation:

The given parameters are;

The amount, P of subsidized federal loan Barb has been approved for = $12,000

The interest rate at which the loan was approved, r = 4.29%

The duration of the loan = 10 years

The interest after 4.5 years is given as follows;

Where;

A = The total amount of the loan plus interest after a given time period

n = The number of compounding of the interest per annum

Plugging in the values, we get;

The interest, i, is therefore given as follows;

i = A - P = 14,882.33 - 12,000 = 2,882.33

The interest, i after 4.5 years = $2,882.33

The amount in interest accruable to the U.S. Department of Education after 4.5 years = $2,882.33.

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15