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Aleonysh [2.5K]
3 years ago
10

A tv has a listed price of $896.99 before tax. If the sales tax rate is 7.75%, find the total cost of the tv with sales tax incl

uded. round to nearest cent if nesscessary.
Mathematics
1 answer:
nadezda [96]3 years ago
7 0

Answer:69.52

Step-by-step explanation:First set up a proportion which is basically a fraction.To set it up first you must put two fractions together with an equals sign in between both fractions.Then add the whole on the denominator to the left then an x for the one above the whole cause were looking for a part.Then add the percent to the top right which in this case is 7.75 then 100 as the denominator cause it represents a whole.Then when looking for a part multiply Denominator on left which in this case is 896.99 then multiply it by the percent 7.75 which should give you 6951.6725 then divide by 100 which is 69.516725 then round which is 69.52.

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3 years ago
A certain organization recommends the use of passwords with the following​ format: vowel commavowel, consonant comma consonant c
zimovet [89]

The password format is = inpray93

vowel , consonant, consonant, consonant, vowel, consonant, number, number.

There are 21 consonants, 5 vowels and 10 number choices (0-9)

Since, there are 21 consonants and repetition is allowed so for 2nd, 3rd, 4th, and 6th positions 21 choices are available. For 1st and 5th positions, 5 choices  are available and for 7th and 8th position there are 10 choices (0 to 9).

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So, the number of passwords can be =

5\times21\times21\times21\times5\times21\times10\times10

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This means all the letters are different.

So, number of passwords will be =

10\times42\times42\times42\times10\times42\times10\times10

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When servicing a heating boiler and radiators, a plumber knows that the time
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shusha [124]

Answer:

5a. 4w+24≤100

5b. Dimensions=31ft x 19 ft

      Area = 589ft²

Step-by-step explanation:

l=w+12

p=2l+2w

p=2(w+12)+2w

p=2w+24+2w

p=4w+24

The farmer has 100ft of fencing, so maximum that the perimeter (p) can be is 100, meaning (4w+24) has to be less than or equal to 100:

4w+24≤100

For the largest possible perimeter, all 100 of fencing will be used, so allow 100 to be equal to 4w+24)

100=4w+24

4w=76

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l=w+12

l=19+12

l=31ft

The dimensions are 31ft x 19ft.

Area=lw

=31*19

=589ft²

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3 years ago
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