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Marta_Voda [28]
3 years ago
15

Rose bought a new hat when she was in vacation. If the hat cost $975 and the sales tax was 6%, how much did rose pay for the hat

?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
5 0

Hi!


To solve this, set up a proportion and cross multiply.


\frac{x}{975} \frac{6}{100}


975 x 6 = 5850

5850/100 = 58.5


58.5 + 975 = 1033.5


The answer is $1033.5


Hope this helps! :)

-Peredhel

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Answer:

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Step-by-step explanation:

We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.

We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

\displaystyle x_{n} = a\left(r\right)^{n-1}

Where <em>a</em> is the initial term and <em>r</em> is the common ratio.

Substitute:

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To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:

\displaystyle \begin{aligned} x_{8} &= 7\left(\frac{2}{3}\right)^{(8) - 1} \\ \\ &= 7\left(\frac{2}{3}\right)^{7} \\ \\ &= 7\left(\frac{128}{2187}\right) \\ \\ &= \frac{896}{2187} = 0.4096...\end{aligned}

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<u>Given:</u>

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<u>It should be noted:</u>

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Equation formed: ∠G + ∠H = 180

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