Use the Alternating Series Estimation Theorem to estimate the range of values of x for which the given approximation is accurate to within the stated error. Check your answer graphically. (Round your answers to three decimal places.)

arctan(x) ≈ x − x^3/ 3 + x^5/5 |error| < 0.000005

< x<

Charlene's parents deposit $500 in an account on the day she is born. the account earns a high interest rate of 9.2% compounded quarterly because charlene is not allowed to access the money until her 22nd birthday. how much money will charlene have on her 22nd birthday? a: $3,698.50 b: $5,921.31 c: $101,200 d: $ 824.58