1. The diagram below shows a composite shape formed by joining two rectangles. The area of the larger rectangle is 4 times the area of the smaller rectangle.
Calculate the dimensions of the smaller rectangle.
You must justify any decisions that you make.

How many real and imaginary solutions does the equation x^2-3x=-2x-7 have?

Each person in an it department of 25 people works on at least one of 3 major projects: system security, program implementation, platform development. 10 people work on system security, 13 work on program implementation, and 12 work on platform development. 4 people work on system security and platform development, 5 people work on program implementation and platform development, and 2 people work on all three projects. how many people work on system security and program implementation?

Ebuka's monthly rent is $750. if ebuka pays the rent late, his landlord charges 4% interest per week that the payment is late. write a function that gives the total cost r(t), in dollars, of ebuka's rent if he pays it t weeks late.