10) An architect is considering bidding for the design of a new shopping mall. The cost of drawing plans and submitting a model is $10,000. The probability of being awarded the bid is 0.09, and anticipated

profits are

$100,000, resulting in a possible gain of this amount minus the $10,000 cost for plans and a

model. What is the expected value in this situation? Answers without any work shown will

receive no credit.

A) $8000

B) $9000

C) -$1000

D) $8100

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.