A natural history museum borrows $2,000,000 at simple annual interest to purchase new exhibits. Some of the money is borrowed at 5%, some at 6.5%, and some at 7.5%. Use a system of linear equations to determine how much is borrowed at each rate given that the total annual interest is $117,000 and the amount borrowed at 6.5% is four times the amount borrowed at 7.5%. Solve the system of linear equations using matrices.

An annuity that goes on indefinitely is called a perpetuity. the payments of a perpetuity constitute a/an series. the equation is: a stock with no maturity is an example of a perpetuity. quantitative problem: you own a security that provides an annual dividend of $170 forever. the security’s annual return is 9%. what is the present value of this security? round your answer to the nearest cent. $

P11.2a (lo 2, 4) fechter corporation had the following stockholders’ equity accounts on january 1, 2020: common stock ($5 par) $500,000, paid-in capital in excess of par—common stock $200,000, and retained earnings $100,000. in 2020, the company had the following treasury stock transactions. journalize and post treasury stock transactions, and prepare stockholders’ equity section. mar. 1 purchased 5,000 shares at $8 per share. june 1 sold 1,000 shares at $12 per share. sept. 1 sold 2,000 shares at $10 per share. dec. 1 sold 1,000 shares at $7 per share. fechter corporation uses the cost method of accounting for treasury stock. in 2020, the company reported net income of $30,000. instructions a. journalize the treasury stock transactions, and prepare the closing entry at december 31, 2020, for net income. b. open accounts for (1) paid-in capital from treasury stock, (2) treasury stock, and (3) retained earnings. (post to t-accounts.) c. prepare the stockholders’ equity section for fechter corporation at december 31, 2020.

In a market economy, supply and demand are important because theya. (i) play a critical role in the allocation of the economy's scarce resources. b. (ii) determine how much of each good gets produced. c. (iii) can be used to predict the impact on the economy of various events and policies. d. all of (i), (ii), and (iii) are correct.