Madyson borrows $1,200 from her father to purchase airplane tickets. the first week after borrowing the money, madyson repays her father $50. each week after that, she is able to repay her father $2 more than the previous week, except in the last week, when she finishes repaying the loan. how much is madyson’s final payment?

 $78 is the Madyson's final payment.

Step-by-step explanation:

Since we have given that

Amount from her father to purchase airplane tickets = $1200

On first week , she paid = $50

According to question it is mentioned that  she is able to repay her father $2 more than the previous week, except in the last week.

So, we will apply "Arithmetic Progression"

a = $50

d = $2

So, we know the formula for "Sum of n terms "

Now, we will apply "Quadratic formula "

So, after 7th week its amount will be

so, Madyson's final payment will be

Hence, $78 is the Madyson's final payment.

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

-4

step-by-step explanation: