When interest is compounded continuously, the amount of money increases at a rate proportional to the amount S present at time t, that is, dS/dt=rS, where r is the annual rate of interest. a) Find the amount of money accrued at the end of 5 years when $6000 is deposited in a savings account drawing 534% annual interest compounded continuously. (Round your answer to the nearest cent.)
b) In how many years will the initial sum deposited have doubled? (Round your answer to the nearest year.)
c) Use a calculator to compare the amount obtained in part a) with the amount S=6000(1+14(0.0575))5(4) that is accrued when interest is compounded quarterly. (Round your answer to the nearest cent.)

Location test: question 1 of 54)water is a solvent because itoa. is made of moleculesob. dissolves many substancesc. is a saltd. has a large buffering capacity

Listed below are several transactions that took place during the first two years of operations for the law firm of pete, pete, and roy.year 1 year 2amounts billed to clients for services rendered $ 170,000 $ 220,000 cash collected from clients 160,000 190,000 cash disbursements salaries paid to employees for services rendered during the year 90,000 100,000 utilities 30,000 40,000 purchase of insurance policy 60,000 0 in addition, you learn that the company incurred utility costs of $35,000 in year 1, that there were no liabilities at the end of year 2, no anticipated bad debts on receivables, and that the insurance policy covers a three-year period.required: 1. & 3. calculate the net operating cash flow for years 1 and 2 and determine the amount of receivables from clients that the company would show in its year 1 and year 2 balance sheets prepared according to the accrual accounting model.2. prepare an income statement for each year according to the accrual accounting model.

Suppose an investor starts with a portfolio consisting of one randomly selected stock. as more and more randomly selected stocks are added to the portfolio, what happens to the portfolio's risk