Abuyer purchased an $800,000 house with an 80% loan to value ratio. the lender charged 3 discount points to the buyer. including the down payment, how much must the buyer pay at closing?

Which of the following is true of the strategy of planned and unplanned change in global marketing? a) cultural congruence involves deliberately changing certain aspects of culture to meet marketing goals.b) all marketing efforts require planned or unplanned change in order to be accepted.c) planned change involves marketing products similar to the ones already on the market.d) the first step in bringing about planned change in a society is to remove obstacles for acceptance of a product.e) social planners gained the acceptance of protein-rich diets among the peoples of underdeveloped societies using the strategy of planned change.

Bill is 31 years old, married, and lived with his spouse michelle from january 2018 to september 2018. bill paid all the cost of keeping up his home. he indicated that he is not legally separated and he and michelle agreed they will not a file a joint return. bill has an 8-year-old son, daniel, who qualifies as bill's dependent. bill worked as a clerk and his wages are $20,000 for 2018. his income tax before credits is $500. in 2018, he took a computer class at the local university to improve his job skills. bill has a receipt showing he paid $1,200 for tuition. he paid for all his educational expenses and did not receive any assistance or reimbursement. bill does not have enough deductions to itemize. bill, michelle, and daniel are u.s. citizens with valid social security numbers. 8. bill does not qualify to claim which of the following: a. head of household b. education benefit c. earned income credit d. all of the above

World systems manufactures an optical switch that it uses in its final product. world systems incurred the following manufacturing costs when it produced 74 comma 000 units last​ year: ​(click the icon to view the manufacturing​ costs.) another company has offered to sell world systems the switch for $ 13.50 per unit. the world systems prepared an outsourcing decision analysis to show the cost per unit of making the switches versus the cost per unit of buying​ (outsourcing) the switches. ​(click the icon to view the outsourcing decision​ analysis.) world systems needs 86 comma 000 optical switches next year​ (assume same relevant​ range). by outsourcing​ them, world systems can use its idle facilities to manufacture another product that will contribute $ 140 comma 000 to operating​ income, but none of the fixed costs will be avoidable. should world systems make or buy the​ switches? show your analysis.