An accountant for a company is creating part of the fiscal budget for next year. She has $50,000 to allocate for salaries, insurance, and general expenses. Based on previous financial statements, she expects to spend eight times as much on salaries as on insurance. Also, general expenses historically cost 20% of the amount spent on salaries and insurance combined. a. Write a system of equations for the amount allocated to each category. (Make certain to clearly define any variables you use.) b. Write the system of equations as a matrix equation AX = B. c. Use an inverse matrix to solve the system of equations. How much is allocated to each category?

Acable company wants to provide cell phone service for residents on an island. the function for the cost of laying the cable from the island to the mainland is c(x)= 6.500 square root x2+4, where x represents the length of the cable in feet. what are the domain and range of the function? a) domain: all real numbers range: all real numbers greater than or equal to 17,000 b) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 17,000 c) domain: all real numbers greater than or equal to 0 range: all real numbers greater than or equal to 13,000 d) domain: all real numbers greater than or equal to 13,000 range: all real numbers greater than or equal to 0

Calculate the average rate of change over the interval [1, 3] for the following function. f(x)=4(5)^x a. -260 b. 260 c. 240 d. -240

Select the correct answer what is the 10th term of the geometric sequence 3,6, 12, 24,48 a. 512 b. 3,072 c. 768 d. 1,536