Keith started saving for retirement at age 45 with plans to retire at age 70. he invested an average of $500 per month in various securities, with an average annual return of 6% adjusted for inflation. assuming monthly compounding, how much has keith saved at the start of retirement? (show work)

a= $27,432.26
b= $446,496.98
c= $346,496.98
d= $712,355.15

The value √10 and √15 are plotted on the number line

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Arandomized controlled trial is designed to evaluate the effect of metoprolol in patients with heart failure. while preparing for statistical analysis, the researcher reviews some common types of statistical errors. which of the following statements is true regarding a type i error in a clinical study? a. the study is not significantly powered to detect a true difference between study groups. bthe null hypothesis is true but is rejected in error. c. the null hypothesis is false but is accepted in error. d. type i error is also known as beta and is usually 0.1 or 0.2. e. type i error depends on the study's confidence interval.