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frez [133]
3 years ago
9

Solve the equation 4*e+2=1 (mod5)

Mathematics
1 answer:
otez555 [7]3 years ago
4 0

Here's a way to do it.

Let 4e +2 = 5n +1 . . . . . . for some integer n

Then e = (5n -1)/4 = n + (n -1)/4

We want (n-1)/4 to be an integer, so let it be integer m.

... m = (n -1)/4

... 4m = n -1

... 4m +1 = n

Substituting this into our expression for e gives

... e = (5(4m+1) -1)/4 = (20m +4)/4 = 5m +1

e = 5m+1 for any integer m

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On March 17th, Pinny Sporting Goods accepted a credit card purchase for $900. The credit card company charges a 2% service fee.
Vera_Pavlovna [14]

Answer:

A : debit to Service Charge Expense of $18.

Step-by-step explanation:

First, one should calculate the value, in dollars of the credit card service fee

Fee = 2% x $900 = $18.

Since this fee is classified as "money coming out" of the account, the entry to a record of this transaction should include a debit to Service Charge Expense of $18.

The correct answer is alternative A.

*The whole purchase amount ($900) should be credited and the service expense should be debited, unlike alternative C, which merges both entries into one.

6 0
2 years ago
The following data show the weight, in ounces, of 10 different bags of candy:
LuckyWell [14K]
B) is correct; on average, each bag of candy has a weight that is 2.6 oz different than the mean weight of 5 oz.

To find the mean absolute deviation, we first find the mean.  Find the sum of the data points and divide by the number of data points (without the outlier, 21, in it):
(10+3+7+3+4+6+10+1+2+4)/10 = 50/10 = 5

Now we find the difference between each data point and the mean, take its absolute value, and find their sum:
|10-5|+|3-5|+|7-5|+|3-5|+|4-5|+|6-5|+|10-5|+|1-5|+|2-5|+|4-5| =
5+2+2+2+1+1+5+4+3+1 = 26

We now divide this by the number of data points:
26/10 = 2.6

This is a measure of how much each bag of candy varies from the mean.
4 0
3 years ago
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Ludmilka [50]
Approximately 15% interest rate
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3 years ago
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If a line has a slope of 1/10, what is the slope of a line that is parallel?
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