Theresa is buying a condo that costs $127,500. she has $8,300 in savings and earns $3,200 a month. theresa would like to
spend no more than 20% of her income on her mortgage payment. which loan option would you recommend to theresa?
a. 30 year fixed, 6.5% down at a fixed rate of 5%
b. 30 year fha, 3.5% down at a fixed rate of 6.5%
30 year fixed, 5% down at a fixed rate of 6.25%
30 year fixed, 10% down at a fixed rate of 5.75%

Identify the graph of y = ln x + 1.

Pranza plotted point a in the coordinate plane below.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?