1.) The answer is 825.75 (multiply the given tax rates to the gross pay)
2,785 x 13% federal taxes = 362.05
2,785 x 9% state tax = 250.65
2,785 x 7.65% FICA = <u>213.05
</u> 825.75
<u>
</u>2.) The answer is 288.60 (multiply the interest rate to the balance, no need to add a late payment fee since they paid on 6/1, not after)
2,748.56 x 10.5% = 288.60
3.) The answer is 182.13 (multiply the APR to the original purchase price, no need to add the sales tax)
<u /> 1,500 x 11.75% = 182.13
4.) The answer is 371.92 (deduct the reward to the interest)
Interest : 2,975.34 x 13.5% = 401.67
Reward : 2,975.34 x 1% = <u> 29.75</u>
371.92
5.) The answer is 1,339.13 (deduct the interest to the monthly payment)
Monthly payment : 2,236.00
Monthly interest : <u> 896.87</u> [(231,450 x 4.65%) / 12 months]
<u /> 1,339.13
Hope this helps! :)
Negative infinite and four
the probability that the sample mean will be smaller than m = 22 is 0.02275.
For the given question,
A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.
Here sample size, n = 4
mean, μ = 30
standard deviation, σ = 8
The probability that the sample mean will be smaller than m = 22 is
z = 
⇒ z =
⇒ z = 
⇒ z = 
⇒ z = -2
Refer the Z table for p value,
Thus for P(z < -2) is 0.02275.
Hence we can conclude that the probability that the sample mean will be smaller than m = 22 is 0.02275.
Learn more about probability of the sample mean here
brainly.com/question/16897081
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