An investment banker is responsible for investing a customer’s money into the greatest interest earning account. The banker has the following options for his customer’s investment: Account A:

interest rate = 8%

term of investment = 8 years

interest compounded annually

Account B:

interest rate = 7%

term of investment = 10 years

interest compounding continuously

Which account, A or B, will earn the customer the greatest amount of interest on his $50,000 investment? In your final answer, include all of your calculations.

Prove that quadrilateral is a rhombus.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 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)

Round each decimal to the nearest thousandth. a. 5.39562 b. 0.12345 c. 5634 d. 18.93763