Mentally calculate the following products. Use the rule for decimal multiplication to write an equation in which the decimal point is written in the correct location. a. (-0.04)(-0.1) b. (0.03)(-0.02) (0.7)(0.4) d. Stacey said, "Stephanie, look at my answer to the last problem, 0.7.0.4=0.28. Usually when I multiply, I get a bigger answer than the numbers I start with. Twenty-eight hundredths, 0.28, is less than either 0.4 or 0.7. I must have made a mistake." Stephanie responded, "Well, one half times one half is one fourth, and one fourth is less then one half. I think when you multiply by a fraction or decimal less than one, you get less than you started with." Write a sentence or two about who you think is correct and why.

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation:

hi how are you doing today? if you ever need just tell me

step-by-step explanation:

b

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