With continuous compounding, a principal of p dollars accumulates to an amount a given by the equation a = pe^rt where r is the interest rate and t is the time in years. a) suppose you start with a principal of $1000 and an interest rate of 7%. how much work will you have in ten years b)suppose you start with a principal of $1000 and an interest rate of 75. how long will it be until you have $2000? round to the nearest tenth of a year.

reduce the friction between its moving parts

step-by-step explanation:

in fact, by reducing the friction between the moving parts of the machine, it is possible to reduce the energy wasted due to this friction; therefore, more input energy is converted into useful work, and this will improve the efficiency of the machine.

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.