Karina travels 5 miles at a bearing of 30° east of north to get to the supermarket. She then travels 10 miles 15° south of east to go to Anissa’s house. How far away and in what direction is Karina’s house
from Anissa’s house? Draw a diagram and show your work to justify your answer. Round the distance
to the nearest hundredth and the direction to the nearest degree. (5

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 9 + 12x + 4x^2

Will’s boss has asked him to compile the credit scores of everyone in his department. the data that will collected is shown in the table below. what is the mode of the credit scores in will’s department? (round to the nearest whole point, if applicable.) 634 667 644 892 627 821 857 703 654 a. 667 b. 722 c. 627 d. there is no mode in this group.

Tom and lilly rented a house for $12,000 last year. at the start of the year they bought the house they had been renting directly from the owner for $250,000. they believe they could rent it for $12,000 this year, but stay in the house. how much does tom and lilly’s decision to buy the house change gdp? a. it reduces gdp by $12,000 b. it does not change gdp c. it raises gdp by $238,000 d. it raises gdp by $250,000