The following four equations represent the growth rates of different towns. PA = 1019e0.04031 Pg = 839e-0.0159t Pc = 1350e0.0147t Pp = 891e0.0728rt %3D %3D (a) Which town is growing fastest (that is, has the largest percentage growth rate)? D (Enter the letter for the town: A, B, ...) (b) Which town is the largest right now (1.e., when t = 0 )? c (Enter the letter for the town: A, B, .) (c) List the letters for all towns that are decreasing in size: (For example, you might enter "A C" (WITHOUT THE QUOTES).) (d) List the letters for all towns that are increasing in size:| (For example, you might enter "AC" (WITHOUT THE QUOTES).)

The growth in population of a city can be seen using the formula p(t) =2148e0.008t, where t is the number of years. Use this formula tocalculate the population after 10 years.

A farmer depreciates a $120,000 tractor. He estimates that the resale value V(t) (in $1000) of the tractor t years after purchase is 80% of its value from the previous year. Therefore, the resale value can be approximated by V(t) = 120(0.8)t.  a. Find the resale value 5 yr after purchase. Round to the nearest $1000.  b. The farmer estimates that the cost to run the tractor is $18/hr in labor, $36/hr in fuel, and $22/hr in overhead costs (for maintenance and repair). Estimate the farmer’s cost to run the tractor for the first year if he runs the tractor for a total of 800 hr. Include hourly costs and depreciation.

Find x correct to three decimal places where: alog₁0 (x) = b where a = 3.7 and b = 9.2

An investment earns 4% per year and is worth $10,000 after 7 years. PV =

The population of the village is expressed by the model y = 7800(1.25)3. Find the growth rate of the population.

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.

The decline of a city's population is modeled by P = 1.8  106e−0.007t. How large will the population be when t = 20? (Round your answer to the nearest whole number.)P =

Find x correct to three decimal places where: alog1o (x) = b where a = 6.1 and b = 10.8