.. 1D kindly assist

1. Let C = f(q) be the cost, in dollars, of producing q gallons of ice cream at the P Creamery. Assume that f is an increasing function. Write a sentence that gives practical meaning of each mathematical statement. (a) f(700) = 400 (b) f(200) = 500 (c) f(800) = 2f (300). 2. You have an investment that increases by 12% per year. How long does it take the value to increase by a factor of 5? 3. The center of a clock is 60 in above the floor. The hour hand is 4 in long. Fi a formula for H(t), the height of the tip of the hour hand (in inches) t hours aft midnight. 4. Find all solutions to the equation 5 sin(3x + 2) = 3. 5. Solve the equation 2 In(3x + 5) = 7 for x. 6. Your internet service provider charges you a different monthly bill, B (in dollar depending on how much data you use, d (in gigabytes). The base amount of $ includes up to 60 gigabytes of data. For every gigabyte of data above 60, you charged $1.50, up to a maximum bill of $135. Find a formula for B(d). 7. Find the domain of the function f(x) - V2x -1 x2 - 16 and express your answer interval notation. 8. Find the domain and range of the function f(x) = In(3x + 1) + 5.1. Let C = f(q) be the cost, in dollars, of producing q gallons of ice cream at the P Creamery. Assume that f is an increasing function. Write a sentence that gives practical meaning of each mathematical statement. (a) f-(700) = 400 (b) f(200) = 500 (c) f(800) = 2f(300). 2. You have an investment that increases by 12% per year. How long does it take the value to increase by a factor of 5? 3. The center of a clock is 60 in above the floor. The hour hand is 4 in long. Fi a formula for H(t), the height of the tip of the hour hand (in inches) t hours aft midnight. 4. Find all solutions to the equation 5 sin(3x + 2) = 3. 5. Solve the equation 2 In(3x + 5) = 7 for r. 6. Your internet service provider charges you a different monthly bill, B (in dollar depending on how much data you use, d (in gigabytes). The base amount of $ includes up to 60 gigabytes of data. For every gigabyte of data above 60, you charged $1.50, up to a maximum bill of $135. Find a formula for B(d). 7. Find the domain of the function f(x) = V2x - 1 x2 - 16 , and express your answer interval notation. 8. Find the domain and range of the function f(x) = In(3x + 1) + 5