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tatiyna
3 years ago
5

Kurt is buying a watch that had an original price of $195 but is advertised as 35% off. Sales tax of 8.75 % is applied to the di

scount price. How much will Kurt pay for the watch ?
Mathematics
1 answer:
Schach [20]3 years ago
8 0

Answer:

$137.84

Step-by-step explanation:

We have been given that Kurt is buying a watch that had an original price of $195 but is advertised as 35% off. Sales tax of 8.75 % is applied to the discount price. We are asked to find the amount paid by Kurt for the watch.

First of all, we will find discounted price of watch by calculating 65% of original price as 100% minus 35% is 65%.

\text{Discounted price of watch}=\$195\times \frac{65}{100}

\text{Discounted price of watch}=\$195\times0.65

\text{Discounted price of watch}=\$126.75

Now we will add 8.75% of $126.75 to $126.75 to find price of watch after sales tax.

\text{Price of watch after sales tax}=\$126.75+\$126.75\times \frac{8.75}{100}

\text{Price of watch after sales tax}=\$126.75+\$126.75\times 0.0875

\text{Price of watch after sales tax}=\$126.75+\$11.090625

\text{Price of watch after sales tax}=\$137.840625

\text{Price of watch after sales tax}\approx \$137.84

Therefore, Kurt will pay $137.84 for the watch.

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Answer:

b) yes

The manufacturer has the right to state that the light bulbs last on average 400 hours

Step-by-step explanation:

<u><em>Explanation:-</em></u>

<em>Given sample size 'n' = 64</em>

<em>Given standard deviation of the Population (σ)=100</em>

<em>Mean of the sample (x⁻) = 350 hours</em>

<em>95% of confidence interval is determined by</em>

(x^{-} -Z_{0.95} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.95} \frac{S.D}{\sqrt{n} } )

((350 -1.96 \frac{100}{\sqrt{64} } , 350+1.96\frac{100}{\sqrt{64} }  )

(350-24.5 , 350+24.5)

<em>(325.5 , 374.5)</em>

<u><em>Conclusion:-</em></u>

<u><em>Yes</em></u>

The manufacturer has the right to state that the light bulbs last on average 400 hours

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</span><span>How many months will it take him to save at least $60?

60 </span>÷ 8 = 7.5

It will take Phillip 7.5 months to save up at least $60!
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Step-by-step explanation:

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