There are 1500 bees in a colony. each month, the number of bees decreases by 12%. there are 800 flowering plants in a garden. each month, 25 flowering plants are removed.

part a: write functions to represent the number of bees and the number of flowering plants throughout the months. (4 points)

part b: how many bees are in the colony after 6 months? how many flowering plants are in the garden after the same number of months? (2 points)

part c: after approximately how many months is the number of bees and the number of flowering plants the same? justify your answer mathematically. (4 points)

I've been working on this for a few days and i just don't understand, it's due in a few hours. you. the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α. part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part b suppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case. part c now try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

You eat $0.85 for every cup of hot chocolate you sell. how many cups do you need to sell to earn $55.25

What are the solutions for the following system? -2x^2+y=-5 y=-3x^2+5