Graph the function.y = log4 x + 4

Solve the problem.How long must $4,300 be in a bank at 8% compounded annually to become (Use the function where P0 is the amount initially placed in savings, t is the time in years, and P(t) is the balance after time t. Round to the nearest year.)

Solve the problem.Let t0 be a specific value of t. Find t0 such that the following statement is true:P(t ≥ t0) = .1 where df = 20.

Solve the problem.A random sample of n measurements was selected from a population with unknown mean μ and known standard deviation σ. Calculate a 95% confidence interval for μ for the given situation. Round to the nearest hundredth when necessary. n = 125, = 25, σ = 20

Solve the problem.In order to purchase a home, a family borrows at an annual interest rate of 11%, to be paid back over a period in equal monthly payments. What is their monthly payment?

For the given value of α and observed significance level (p-value), indicate whether the null hypothesis would be rejected.α = 0.05, p-value = 0.01

Solve the problem.How much money does the average professional football fan spend on food at a single football game? That question was posed to 60 randomly selected football fans. The sampled results show that the sample mean was $70.00 and prior sampling indicated that the population standard deviation was $17.50. Use this information to create a 95 percent confidence interval for the population mean.

Solve the problem.A small private college is interested in determining the percentage of its students who live off campus and drive to class. Specifically, it was desired to determine if less than 20% of their current students live off campus and drive to class. Suppose a sample of 108 students produced a test statistic of z = -1.35. Find the p-value for the test of interest to the college.

For the given value of α and observed significance level (p-value), indicate whether the null hypothesis would be rejected.α = 0.05, p-value = 0.10

Solve the problem.An educator wanted to look at the study habits of university students. As part of the research, data was collected for three variables – the amount of time (in hours per week) spent studying, the amount of time (in hours per week) spent playing video games and the GPA – for a sample of 20 male university students. As part of the research, a 95% confidence interval for the average GPA of all male university students was calculated to be: (2.95, 3.10). Which of the following statements is true?