The altitude (i. e., height) of a triangle is increasing at a rate of 2 cm/minute while the area of the triangle is increasing at a rate of 3 square cm/minute. At what rate is the base of the triangle changing when the altitude is 10.5 centimeters and the area is 96 square centimeters?

Abank manager wants to encourage new customers to open accounts with principals of at least $2 comma 500. he decides to make a poster advertising a simple interest rate of 3%. what must the principal be if the bank manager also wants to advertise that one can earn $10 the first month? can the poster correctly say, "open an account of $2 comma 500 and earn at least $10 interest in 1 month! "?