Can somebody please explain why y = -x is equivalent to r sin(θ) = r cos(θ) instead of r sin(θ) = - r cos(θ) ? Thank you.

The following balance sheet for the los gatos corporation was prepared by a recently hired accountant. in reviewing the statement you notice several errors. los gatos corporation balance sheet at december 31, 2018 assets cash $ 44,000 accounts receivable 86,000 inventories 57,000 machinery (net) 122,000 franchise (net) 32,000 total assets $ 341,000 liabilities and shareholders' equity accounts payable $ 54,000 allowance for uncollectible accounts 7,000 note payable 59,000 bonds payable 112,000 shareholders' equity 109,000 total liabilities and shareholders' equity $ 341,000 additional information: cash includes a $22,000 restricted amount to be used for repayment of the bonds payable in 2022. the cost of the machinery is $194,000. accounts receivable includes a $22,000 note receivable from a customer due in 2021. the note payable includes accrued interest of $7,000. principal and interest are both due on february 1, 2019. the company began operations in 2013. income less dividends since inception of the company totals $37,000. 52,000 shares of no par common stock were issued in 2013. 200,000 shares are authorized. required: prepare a corrected, classified balance sheet. (amounts to be deducted should be indicated by a minus sign.)

Gulliver travel agencies thinks interest rates in europe are low. the firm borrows euros at 5 percent for one year. during this time period the dollar falls 11 percent against the euro. what is the effective interest rate on the loan for one year? (consider the 11 percent fall in the value of the dollar as well as the interest payment.)

Avillage levied property taxes of $910,000 for calendar year 2019 on january 1, 2019 and immediately set up an allowance of $10,000 for uncollectible taxes. the village collected $870,000 in cash during 2019. it expected to collect $22,000 of the unpaid taxes during the first 60 days of 2020 and an additional $8,000 during the rest of 2020. how much should the village recognize as property tax revenues in its 2019 general fund financial statements? a) $870,000 b) $892,000 c) $900,000 d) $910,000