Please help, this is for an exam anything helps. Will give brainliest if correct Angelina deposits $3000 in a savings account on 1 January 2019, earning compound interest of 1.5% per year,

a) Calculate how much interest (to the nearest dollar) Angelina would earn after 10 years if she leaves the money alone. (3 marks)

b) In addition to the $3000 deposited on January 1st 2019, Angelina deposits a further amount of $1200 into the same account on an annual basis, beginning on 1st January 2020. Calculate the total amount of money in her account at the start of January 2030 (before she has deposited her money for that year). (4 marks)

The radical equation 2+√2x-3 = √x+7 has a solution set [x= a0} and an extraneous root x = a1.

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?

Which of the following is best modeled using a linear equation y=ax+b, where a is less than 0?