Emmett is graduating from college in six months, but he will need a loan in amount of 2350 for his last semester. he may either receive an unsubsidized staffers loan with an interest rate of 6.8%, compound monthly, or his parents get a pluse loan with an interest rate of 7.8%, compounded monthly. the stafford loan has a grace of six months from the time of graduation. which loan will have a higher balance and by how much at the time of repayment?

Successful implementation of a new system is based on three independent modules. module 1 works properly with probability 0.96. for modules 2 and 3, these probabilities equal 0.95 and 0.90. compute the probability that at least one of these three modules fails to work properly.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

(a.s."similarity in right triangles"solve for xa.) 10b.) 20c.) 14.5d.) [tex] 6\sqrt{3} [/tex]