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You deposit $5000 in a savings acount for 8 years You earn interest at a rate of 4% compunded
quarterly. At the end of the 8 years, how much money in total will be in the account? Give your
answer rounded to 2 decimal places and do not use a S.

6,874.70

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

Now lets plug in the values into the equation.

= 6,874.70

Your answer is 6,874.70.

Step-by-step explanation:

a) According to the least-squares regression line, the estimated height for a high school senior with a foot length of 20 cm is:

y = 2.599x + 105.08

y = 2.599(20) + 105.08

y = 157.06

The residual is 160 − 157.06 = 2.94

b) The differences between each data point and its corresponding estimate varies with a standard deviation of 5.9 cm.

c) Calculate the z-score:

z = (x − μ) / σ

z = (8 − 0) / 5.9

z = 1.36

Use a calculator or table to find the probability.

P(Z > 1.36) = 1 − 0.9131 = 0.0869

Therefore, approximately 8.69% of the residuals are larger than 8 cm.

d) Since the z-score is within ±2 standard deviations, it would not be surprising to randomly select a high school senior with a foot length of 20 cm and height of 165 cm.