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jazmine8194
07.12.2021 •
Mathematics
2. You recently converted to an online banking account. It also came with a debit card.
Upon reading the conditions of the account
, you discover that in addition to a $7 month-
ly fee, there is a $0.25 charge for each electronic check and $0.25 for each swipe of
the debit card. Therefore, you consider acquiring a separate credit card. The credit
card comes with a $108 annual fee.
a. Let x represent your number of monthly transactions, i.e., both electronic checks and
credit card swipes. Write a linear function that represents the total fees assigned to
your online banking account each month.
b. What is the monthly cost of the credit card you are considering?
c. How many transactions do you need to average each month to justify the addition-
al credit card?
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Ответ:
0.05
Step-by-step explanation:
We have to find the limit of
If we substitute 100 for x directly we get 0/0 form which is indeterminate.
Let us factorise the denominator suitable
Denominator =![x-100 = (\sqrt{x} +10)(\sqrt{x} -10)](/tpl/images/0529/0961/20ae1.png)
Now we find common factor between numerator and denominator
Since x tends to 100 we can say sqrt x -10 is non zero.
We cancel this andfind
the expression as
Now substitute limits as x =100
Limit =![\frac{1}{10+10} \\= 0.05](/tpl/images/0529/0961/b5d06.png)
Limit is 0.05