Solve the problem.A sample of 800 grams of radioactive substance decays according to the function where t is the time in years. How much of the substance will be left in the sample after 30 years? Round to the nearest whole gram.

Convert to a logarithmic equation.yz = 3

Solve. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.The value of a particular investment follows a pattern of exponential growth. In the year 2018, you invested money in a money market account. The value of your investment t years after 2018 is given by the exponential growth model When will the account be worth $10,363? Round your answer to the nearest year.

Graph the inequality.y > x2 + 3

Solve the exponential equation. Give an exact answer. Express the solution set in terms of natural logarithms. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.(3.7)x = 45

Solve the logarithmic equation. Give the exact answer. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper. Use the math editor (“Insert Math Equation” as needed on the toolbar) to enter your final answer. Show all work on your paper.log (5 + x) – log (x – 3) = log 5

Graph the function.g(x) = ex – 3.

Graph the solution set of the system of inequalities or indicate that the system has no solution.x2 + y2 ≤ 499x + 4y ≤ 36

Graph the solution set of the system of inequalities or indicate that the system has no solution.y > x27x + 6y ≤ 42

Find the inverse of the relation.{(-6, 3), (-5, 3), (-4, 8), (-3, 7)}