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lozanna [386]
3 years ago
14

4. At a discount furniture store, Chris offers the salesperson $600 for a couch and a chair. The store charges 8% sales tax. If

the salesperson accepts the offer, what is the cost of the furniture, including tax? Round your answer to the nearest hundredth.
5. Shelly earned 20% more money waitressing this week than last week. Last week, she earned $72. How much money did she earn this week? Round your to the nearest hundredth.
6. A 24 ounce box of Cinnamon Crunchers cereal costs $3.99. At this rate, what is the cost of a 36 ounce box of Cinnamon Crunchers? Round your to the nearest hundredth.

NEED THIS DONE ASAP DUE TOMORROW
worth 10 points​
Mathematics
1 answer:
Lana71 [14]3 years ago
7 0

Answer:

4. $648

5. $86.40

Step-by-step explanation:

You take the percent (we'll take 4 for example, so 8%) and change it to a decimal: .08. You then multiply the decimal (.08) by your other number (in this case $600) and the resulting number is your answer, but not final. Take whatever the answer was (in this case 48) and add it to the orignal number (600) to get $648.

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7(x-2)=28 Can somebody help me and show the steps?
olya-2409 [2.1K]
Since the 7 is in front of the parentheses you must multiply it by everything inside the parentheses. 7 times X is 7X and 7 times -2 is -14. Then you need to make the X be by itself on one side, to do that you have to add 14 to -14 to make it disappear, and also add 14 to the other side, to 28. Then you divide both sides by 7 to make X be by itself.

7(x-2)=28
7X-14=28
7x=42
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2 years ago
Bill plans to buy a movie ticket for himself and three of his friends. The cost of a ticket is $5.75. How much will he spend on
RoseWind [281]
he will have a total of $23.00
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Answer:

94cm²

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Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
Feliz [49]

f(x,y,z)=2z^2x+y^3

f has gradient

\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k

which at the point (-1, 4, 3) has a value of

\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say \vec u=15\,\vec\imath+25\,\vec\jmath, in which case we have

\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}

Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}

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We need answer choices
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