George is considering two different investment options. The first option offers 7.4% per year simple interest on the
initial deposit. The second option offers a 6.5% interest rate but is compounded quarterly. He may not withdraw any of
the money for three years after the initial deposit. Once the minimum 3 years is reached, he can choose to withdraw his
money or continue to collect interest. Suppose that George opens one of each type of account and deposits $10,000
into each.
Part A: Determine the value of the simple interest investment at the end of three years. Use the formula
A = P + Prt, where A represents the value of the investment, P represents the original amount, r represents the
rate, and t represents the time in years. Show your work.
Part B: Determine the value of the compound-interest investment at the end of three years. Use the formula
A=P(1+2) , where A represents the value of the investment, P represents the original amount, r represents
the rate compounded n times per year, and t represents the time in years.
Show your work.
Part C: Which investment is better over the first three years?
Explain your answer by using your work from Parts A and B as support.
Part D: How would you advise George to invest his money if he is unsure how long he will keep the money in the
account? Justify your reasoning using a graph or table.

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.

convert the answer to millimeters there are 25.4 millimeters in an inch and 12 inches in a foot so just divide the 5280 feet into a fraction of the numbers till you get to the simplest form you need so (5280 x 12=63360 inches) (63360 x 25.4=1609344 millimeters) (5280/12=440 feet) its as simple as that just break it down to it's simplest form.