When an oven is turned off its interior temperature is given by T=70+330(0.8)7, where T is the temperature in (F) in the oven and t is the time in minutes after the oven is turned off. For each of the following, assume room temperature remains constant. What is the oven temperature (in F) after ten minutes?

Suppose that 40 deer are introduced in a protected area. The population of the herd P can be modeled by P = 40 + 20x / 1 + .05x  where x is the time in years since introducing the deer. Determine the time required for the deer population to reach 200.

The deck of a bridge is suspended 285 feet above a river. If a pebble falls off the side of the bridge, the height, in feet, of the pebble above the water surface after t seconds is given by  y = 285 − 16t2. (a) Find the average velocity (in ft/s) of the pebble for the time period beginning when t = 2 and lasting the following amount of time. (i) 0.1 seconds  (ii)0.05 seconds  (iii)0.01 seconds  (b) Estimate the instantaneous velocity (in ft/s) of the pebble after 2 seconds.

The amount of money in an account is given by A = P(1+r)*, where Pis the principal invested, r is the interest rate (as a decimal), and t is the time of the investment. Find the amount at the end of (t=) 2 years if (P=) $600 is invested at 5% (r=0.05). Use appropriate units and round to the nearest cent. hp fg f10 f11 f12 AA 8 60

= A radioactive substance decays according to A 85.6(10-0.015t) where t is the number of hours. How long would it take for there to be only 20 g? (1 calc use)

The dollar value v(t) of a certain car model that is t years old is given by this V(t)=20000(0.86) Find the value of the car and the value after 13 years

The air in a room 15 ft by 12 ft by 12 ft is 3% carbon monoxide. Starting at t=0, fresh air containing no carbon monoxide is blown into the room at a rate of 300 ft/min. If air in the room flows out through a vent at the same rate, when will the air in the room be 0.01% carbon monoxide? The air in the room will be 0.01% carbon monoxide after (Round to two decimal places as needed.) minutes.

∑i=30704(i–30)  Calculate. Show work.