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kow [346]
2 years ago
12

A textbook costs $65.49 before tax. The tax on the textbook is 6.5%. What is the total cost of the textbook? Round your answer t

o the nearest cent. Enter your answer in the box.
Mathematics
2 answers:
AnnZ [28]2 years ago
7 0
65.49*0.065 = 4.26
65.49+4.26 = $69.75
OLEGan [10]2 years ago
4 0

Answer:

$69.75  I believe is the answer! Good luck on he quiz! ❤️

Step-by-step explanation:


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A machine takes 5.4 hours to make 9 parts. At that rate how many parts can the machine make in 25.8 hours
Sliva [168]
\frac{5.4}{9} = \frac{25.8}{x}    Cross multiply.

5.4x=9*25.8

5.4x=232.2    Divide both sides by 5.4

x=43
4 0
2 years ago
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A glass bottle filled with oil weighs 590 grams. After Sophia uses 200 milliliters of oil, the bottle weighs 400 grams. The weig
iris [78.8K]

Answer:  The answer is M=590-\dfrac{19}{20}V.


Step-by-step explanation: Given that a glass bottle is filled with oil weighs 590 grams. After that, Sophia uses 200 millilitres of oil and then the bottle weighs 400 grams.

Therefore, the weight of the oil that Sophia uses = 590 - 400 = 190 grams.

That is, 190 grams = 200 millilitres, so

1~\textup{ ml}=\dfrac{190}{200}~\textup{grams},\\\\\textup{V ml}=\dfrac{19}{20}\textup{V}~\textup{grams}.

So, the relation between the weight 'M' of the bottle of oil, in grams, is a function of 'V', the volume of oil Sophia used is given by

\textup{M}=590-\dfrac{19}{20}\textup{V}.


7 0
2 years ago
Which is a perfect square? 6 Superscript 1 6 squared 6 cubed 6 Superscript 5 Mark
Mazyrski [523]

Answer:

6^2

Step-by-step explanation:

The square root of a perfect square is a rational number.

So let us take the square root of each number to see which is a rational number.

\sqrt{6^1}=\sqrt{6}......irrational

\sqrt{6^2}=6......rational

\sqrt{6^3}=6\sqrt{6}.........irrational

\sqrt{6^5}=36 \sqrt{6}irrational.

Therefore 6^2 is a perfect square

3 0
2 years ago
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Demand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer is related to the average u
soldier1979 [14.2K]

x = f ( p ) = \frac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } } \\\\ \qquad { p ( t ) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \quad ( 0 \leq t \leq 60 ) }

Answer:

12.0 tablet computers/month

Step-by-step explanation:

The average price of the tablet 25 months from now will be:

p ( 25) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { 25 } } + 200 \\= \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \times 5 } + 200\\\\=\dfrac { 400 } { 1 + \dfrac { 5 } { 8 } } + 200\\p(25)=\dfrac { 5800 } {13}

Next, we determine the rate at which the quantity demanded changes with respect to time.

Using Chain Rule (and a calculator)

\dfrac{dx}{dt}= \dfrac{dx}{dp}\dfrac{dp}{dt}

\dfrac{dx}{dp}= \dfrac{d}{dp}\left[{ \dfrac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } }\right] =-\dfrac{100}{9}p(810,000-p^2)^{-1/2}

\dfrac{dp}{dt}=\dfrac{d}{dt}\left[\dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \right]=-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}

Therefore:

\dfrac{dx}{dt}= \left[-\dfrac{100}{9}p(810,000-p^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}\right]

Recall that at t=25, p(25)=\dfrac { 5800 } {13} \approx 446.15

Therefore:

\dfrac{dx}{dt}(25)= \left[-\dfrac{100}{9}\times 446.15(810,000-446.15^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt {25} \right]^{-2}25^{-1/2}\right]\\=12.009

The quantity demanded per month of the tablet computers will be changing at a rate of 12 tablet computers/month correct to 1 decimal place.

8 0
2 years ago
How many roots does the graphed polynomial function have?
TiliK225 [7]
To start, note that the roots of a function have to do with how many times the function passes through the x-axis.

When you look at the graph above, notice that it passes through the x-axis 3 times, at the points (-6,0), (-4,0), and (3,0).

Knowing this, you can conclude that your answer would be choice B.)3
5 0
2 years ago
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