Do you think the government protects investors adequately? This question was part of an online survey of investors aged less than 65 living in the United States and Great Britain (Financial Times/Harris Poll, October 1, 2009). The number of investors from the United States and Great Britain who answered Yes, No, or Unsure to this question are provided below
Response Unitied States Great Britain
Yes 187 197
NO 334 411
Unsure 256 213
a. Estimate the probability that an investor in the United States thinks the government is not protecting investors adequately. Round your answer to four decimal places.
b. Estimate the probability that an investor in Great Britain thinks the government is not protecting investors adequately or is unsure the government is protecting investors adequately? Round your answer to two decimal places.
c. For a randomly selected investor from these two countries, estimate the probability the investor thinks the government is not protecting investors adequately. Round your answer to four decimal places.
d. Based on the survey results, does there appear to be much difference between the perceptions of investors in the United States and investors in Great Britain regarding the issue of the government protecting investors adequately?(YES / NO)?

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

oof

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