Eric made two investments: investment q q has a value of $ 5 0 0 $500 at the end of the first year and increases by $ 4 5 $45 per year. investment r r has a value of $ 4 0 0 $400 at the end of the first year and increases by 1 0 % 10% per year. eric checks the value of his investments once a year, at the end of the year. what is the first year in which eric sees that investment r r's value exceeded investment q q's value?

The plant were you work has a cylindrical oil tank that is 2.5 feet across on the inside and 10 feet high. the depth of the oil in the tank is 2 feet. about how many gallons of oil are in the tank?

Use matrices to solve this linear system: 5x1 − 2x2 = −30 2x1 − x2 = −13 x1 = x2 =

Arandom sample of n = 25 observations is taken from a n(µ, σ ) population. a 95% confidence interval for µ was calculated to be (42.16, 57.84). the researcher feels that this interval is too wide. you want to reduce the interval to a width at most 12 units. a) for a confidence level of 95%, calculate the smallest sample size needed. b) for a sample size fixed at n = 25, calculate the largest confidence level 100(1 − α)% needed.