Swim coach Rob teaches athletes how to swim freestyle while keeping their hips raised. Let q represent the number of swimmers that learn the technique, and let h represent the number of hours of individual training Rob provides in which the swimmers focus on their hips. The team's production function is 0.10 Rob is paid $160 per hour of practice What is the cost function, C(q)? The cost function is C) 160q10 (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E. g, a superscript can be created with the character.) What is the marginal cost function m(q)? M(a) 1600q9 (Properly format your expression using the tools in the palette) Now suppose that Rob has learned a new method to teach swimmers how to swim with their hips raised. His new team production function is qh0 80 What is the cost function? C()Properly format your expression using the tools in the palette.)

According to herman, one of the differences of managing a nonprofit versus a for-profit corporation is

James albemarle created a trust fund at the beginning of 2016. the income from this fund will go to his son edward. when edward reaches the age of 25, the principal of the fund will be conveyed to united charities of cleveland. mr. albemarle specified that 75 percent of trustee fees are to be paid from principal. terry jones, cpa, is the trustee. james albemarle transferred cash of $500,000, stocks worth $400,000, and rental property valued at $250,000 to the trustee of this fund. immediately invested cash of $360,000 in bonds issued by the u. s. government. commissions of $7,900 are paid on this transaction. incurred permanent repairs of $9,000 so that the property can be rented. payment is made immediately. received dividends of $8,000. of this amount, $3,000 had been declared prior to the creation of the trust fund. paid insurance expense of $4,000 on the rental property. received rental income of $10,000. paid $8,000 from the trust for trustee services rendered. conveyed cash of $7,000 to edward albemarle.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.