Provide an appropriate response.Evaluate 

Fill in the blank(s) with the appropriate word(s).


Answer: n

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Answer the question.You currently drive 240 miles per week in a car that gets 16 miles per gallon of gas. You are considering buying a new fuel-efficient car for $13,000 (after trade-in on your current car) that gets 40 miles per gallon. Insurance premiums for the new and old car are $800 and $600 per year, respectively. You anticipate spending $1400 per year on repairs for the old car and having no repairs on the new car. Assume gas costs $3.50 per gallon. Over a five-year period, is it less expensive to keep your old car or buy the new car? By how much?

A. the new car is $1020 less expensive B. the old car is $1190 less expensive C. the new car is $1190 less expensive D. the old car is $1020 less expensive

Solve the equation on the interval 0 ? ? < 2?.cos ? + sin ? = 0

A.
B.
C.
D. - 

Express the sum or difference as a product of sines and/or cosines.sin  + sin 

A. 2 sin (5?)
B. 2 cos (5?) sin ?
C. 2 sin  sin ?
D. 2 sin  cos ?

Aunt Darla has agreed to deposit a lump sum into an account that pays 12% interest compounded annually in order to pay for her niece's college education. The niece estimated that she will need to withdraw $40,000 at the beginning of each year for four years to pay for room, board, tuition, and books. Aunt Darla will deposit the lump sum on August 1, 2016, and the niece will make the first withdrawal on August 1, 2022. ? Required: ? Determine the amount that Aunt Darla must deposit. Clearly label all work.

What will be an ideal response?