Suppose you bought D DVD's and B Books. If each DVD cost $14.95 and each book you bought off the 'specials' table cost $6.95, write an expression that tells how much you spent. algebraic expressions

14.95D + 6.95B

Step-by-step explanation:

Well a simple expression would make D the amount of DVD's you bought and B the amount of Books purchased.

In simple cases the prices don't change depending on that amount so you can multiply them by making it 14.95D and 6.95B.

Making the expression 14.95D + 6.95B.

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step-by-step explanation:

step-by-step explanation:

part a. the differences are decreasing, so we know the sequence is not arithmetic. the ratios are constant (=3/4), so we know the sequence is geometric.

part b. from part a, we know the common ratio is 3/4, so each term is 3/4 of the one before. the initial term is the number of gallons at h=1.

g[h] = (3/4)·g[h-1]

g[1] = 384 . . . . initial value required for a recursive definition

part c. the general formula for a geometric sequence is

a[n] = a[1]·r^(n-1)

we have a[1] = 384, r = 3/4, and the term number given by h. the formula that follows is

g[h] = 384·(3/4)^(h-1)

part d. filling in the value and doing the arithmetic, we have

g[12] = 384·(3/4)^11 ≈ 384·0.042235136 ≈ 16.2183 . . gallons

part e. each gallon is 4 quarts, so

16.2183 gal × 4 qt/gal = 64.8732 qt