The color of some clothing fades over time when washed. Suppose a pair of jeans fades by 5% with each washing.

a) What percent of the color remains after one washing?

95%

b) If t1 = 100, what are the first 4 terms?

t1 = 100 r = 0.95

100, 95, 90.25, 85.7375

c)What is the value of r?

r = 0.95

d) What percent of the color remains after 10 washings?I went wrong here.

tn = t1(r^n-1)

tn = (100)(0.95^10-1) I plugged 10 into n

tn = 63.0249%

The correct answer is59.87%, I am not sure what I did wrong...I also do not know how to solve this one.

e) How many washings would it take so that only 25% of the original color remains?

tn = (100)(0.95^n-1)

25 = (100)(0.95^n-1)

I think we need to solve for n but I do not know the algebra steps to get n by itself since it is an exponent...

I would love some feedback, I felt I did d) correctly, but I guess not... Thanks for any contribution!