Answer:
(53.812 ; 58.188) ; 156
Step-by-step explanation:
Given that :
Sample size (n) = 51
Mean (m) = 56
Standard deviation (σ) = 9.5
α = 90%
Using the relation :
Confidence interval = mean ± Error
Error = Zcritical * (standard deviation / sqrt (n))
Zcritical at 90% = 1.645
Error = 1.645 * (9.5 / sqrt(51))
Error = 1.645 * 1.3302660
Error = 2.1882877
Hence,
Confidence interval :
Lower boundary = 56 - 2.1882877 = 53.8117123
Upper boundary = 56 + 2.1882877 = 58.1882877
Confidence interval = (53.812 ; 58.188)
2.)
Margin of Error (ME) = 1.25
α = 90%
Sample size = ((Zcritical * σ) / ME)^2
Zcritical at 90% = 1.645
Sample size = ((1.645 * 9.5) / 1.25)^2
Sample size = (15.6275 / 1.25)^2
Sample size = 12.502^2 = 156.3000
Sample size = 156
Answer:
$2070.14
Step-by-step explanation:
Credit card terms vary, as do methods of computing interest and new balance. Here, we'll assume that no payment has been made (<em>in violation of the terms of the credit card</em>), and that the finance charge is only applied to the previous balance.
The finance charge is ...
$1853.68 × 0.249 ÷ 12 = $38.46 . . . . . . . the monthly rate is 0.249÷12
Then the new balance will be the sum of the previous balance, finance charge, and new transaction(s):
$1853.68 +38.46 + 178.00 = $2070.14
_____
<em>Comment on lack of payment</em>
Because no payment has been made, there may also be a late-payment charge added to the balance.
Answer:
12:6 or $12 for every $6 he saves
Step-by-step explanation:
If he spends $6.00 for every $3.00, he would save $6 if he spends $12. In this case you could multiple or divide 6 by any number, and do the same to 3 to get an equivalent ratio. Ex. Multiple 6 times 2 to get $12 and 3 times 2 to get $6.
