Why did euler enter the paris academy of sciences prize problem competition?

Figure abcd is a parallelogram. if point c lies on the line x = 2, what is the y-value of point c

What is the volume of the sphere shown below with a radius of 3?

12. the amount of money in a bank account decreased by 21.5% over the last year. if the amount of money at the beginning of the year is represented by ‘n', write 3 equivalent expressions to represent the amount of money in the bank account after the decrease?