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3 years ago

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Donna bought 3 pairs of pants for $28.50 each. She also bought a necklace for $12.25. She received a discount of 35% off her ent

ire purchase. How much will Donna have to pay at the register, including the 7% sales tax?

1 answer:

oee [108]3 years ago

5 0

Answer:

<em>Donna will have to pay $67.985125 at the register, including the 7% sales tax.</em>

Step-by-step explanation:

Donna bought 3 pairs of pants for $28.50 each.

So, the cost for 3 pair of pants $=(28.50\times 3)dollars= 85.50$ dollars.

She also bought a necklace for $12.25

Thus, the cost for her entire purchase will be: $(85.50+12.25) dollars = 97.75$ dollars.

She received a discount of 35% off her entire purchase. So, the amount of discount $=(97.75\times 0.35)= 34.2125$ dollars.

Thus, the total selling price will be: $(97.75-34.2125)= 63.5375$ dollars.

Percentage of sales tax is 7%. So, the amount of sales tax $=(63.5375\times 0.07)= 4.447625$ dollars.

Thus, the total amount Donna have to pay at the register $=(63.5375+4.447625)=67.985125$ dollars.

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Step-by-step explanation:

This seems to be calculus 1.

<u>Question a</u>

We have $-2x^3 + 5x^2 + 9$

m = slope = derivative

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We do this by differentiating the polynomials. There are a few methods to do this but I am going to use the power rule, which we multiply the constant by the exponent on the variable and subtract one from the exponent.

$\frac{d}{dx}(-2x^3 + 5x^2 + 9)$

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<em>Now that we have this information, we can answer question b</em>

<u>Question b</u>

<u>The tangent line for Point (1, 12)</u>

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<u>Now lets do the same for the Point (2, 13)</u>

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Now find the tangent line using point slope form of a line.

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$y(x) = -4x + 21$

Now graph the lines, which I have done and you can see by viewing the image I have attached.

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