If a is a nilpotent element of r, a ring with identity, establish that 1 + a is invertible in r.
[hint: (1 + a)-1 = 1-a + a^{2} + + (-1)-1(a)n-1, where (a)^{n}=0]

(a) what was jennifer's gross pay for the year? (b) how much did she pay in state income tax? (c) the amount in box 4 is incorrect. what dollar amount should have been entered in box 4? (d) the amount in box 6 is incorrect. what dollar amount should have been entered in box 6? (e) how much was jennifer's fica tax? (f) jennifer's taxable income was $32,104. she's filing her taxes as head of household. does she owe the government more in taxes, or will she receive a refund? how much will she owe or receive?

How do i make someone brainliest? (if you answer me, i might be able to make you brainliest! )

Ametal rod needs to be 9 feet and 5.5 inches in length. the sections of the poles being used are each 1 foot and 10.5 inches long. how many 1ft 10.5in sections would be needed to complete the 9ft 5.5in metal rod? and how many inches of material will be left?