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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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Two lengths are in the ratio 2:5. The second length is 75 cm. Find the first length.​
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Step-by-step explanation:

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Identity the construction that the figure represents
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<h3>How to illustrate the information?</h3>

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Find the values of s_1 and r for a geometric sequence with s_4= 18 and s_6= 72<br>​
dmitriy555 [2]
<h3>Answer: Choice A</h3>

s_1 = 2.25, \ r = 2

============================================

Work Shown:

s_4 = 18\text{ is the fourth term}\\\\s_5 = r*s_4 = 18r\\\\s_6 = r*s_5 = r*(18r) = 18r^2 = 72\\\\\text{So,}\\\\18r^2 = 72\\\\r^2 = \frac{72}{18}\\\\r^2 = 4\\\\r = \sqrt{4}\\\\r = 2

Use that r value and s_4 = 18 to find the first term

s_n = s_1*(r)^{n-1}\\\\s_4 = s_1*(2)^{4-1}\\\\18 = s_1*8\\\\s_1 = \frac{18}{8}\\\\s_1 = 2.25

You could use s_6 = 72 in place of s_4 = 18 (just make sure to use n = 6 instead of n = 4).

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