For all parts of this problem, money is invested in a retirement account with an APR of 8.04%. (This is close to the average annual return rate for a traditional individual retirement account over the last decade.) You want to be able to withdraw $24,000 per year for 20 years after retirement. Round up to the cent for each answer. 2. How much must you have in the account to start with if compounding and withdrawals are both annual?

1. what are the missing reasons in the proof 2. it's in the second picture and 3

Given that sin∅ = 1/4, 0 < ∅ < π/2, what is the exact value of cos∅? a. (√4)/4 b. (√15)/4 c. (4π)/2 d. (4√2)/4

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)