Half of the product of two consecutive numbers is 105. to solve for n, the smaller of the two numbers, which equation can be used?

a.) n^2 + n – 210 = 0
b.) n^2 + n – 105 = 0
c.) 2n^2 + 2n + 210 = 0
d.) 2n^2 + 2n + 105 = 0

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?

Find dy/dx using implicit differentiation ln(20+e^xy)=y

Rose bought a new hat when she was on vacation. the following formula describes the percent sales tax rose paid b=t-c/c