Use the formula for continuous compounding to compute the balance in the account after 1, 5, and 20 years. Also find the APY for the account. A $8000 deposit in an account with an APR of 3.5%

1. The balance in the account after 1 year is approximately (Round to the nearest cent as needed.)
2. The balance in the account after 5 years is approximately (Round to the nearest cent as needed.)
3. The balance in the account after 20 years is approximately (Round to the nearest cent as needed.)
4. The APY for the account is approximately (Round to decimal places as needed)

Acyclist bike x distance at 10 miles per hour .and returns over the same path at 8 miles per hour. what is the cyclist average rate for the round trip in miles per hour ?

Taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. provide taylor with some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)= 2x+1 g(x)= 2x^2+1

Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =