1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vsevolod [243]
2 years ago
9

A laptop has a listed price of $843.88 before tax if the sales tax rate is 7.25% find the total cost of the laptop with sales ta

x included
Mathematics
1 answer:
Step2247 [10]2 years ago
7 0

Answer:

$905.06 dollars

Step-by-step explanation:

Given the following question:

7.25% of 843.88

In order to find the answer, we use the formula to calculate percentages, then we add that answer to the initial cost of the laptop.

\frac{p\times c}{100}
\frac{7.25\times843.88}{100}=7.25\times843.88=6118.13\div100=61.1813
61.1813
1 < 5
61.18

<u>Now add:
</u>843.88+61.18=905.06
=905.06

Which means the laptop after a 7.25% sales tax costs "$905.06 dollars."

Hope this helps.

You might be interested in
If I have 60 coins consisting of dimes and quarters, and if I have x dimes, how many quarters do i have?
Contact [7]
I don't know if I'm correct, I'm guessing... 30
4 0
3 years ago
Read 2 more answers
Edge proof would be amazing and I will give brainliest for it!
inna [77]

Answer: The answer is B.

Step-by-step explanation: The scale on the y-axis could be changed to 100–120.

7 0
1 year ago
Can anyone help me integrate :
worty [1.4K]
Rewrite the second factor in the numerator as

2x^2+6x+1=2(x+2)^2-2(x+2)-3

Then in the entire integrand, set x+2=\sqrt3\sec t, so that \mathrm dx=\sqrt3\sec t\tan t\,\mathrm dt. The integral is then equivalent to

\displaystyle\int\frac{(\sqrt3\sec t-2)(6\sec^2t-2\sqrt3\sec t-3)}{\sqrt{(\sqrt3\sec t)^2-3}}(\sqrt3\sec t)\,\mathrm dt
=\displaystyle\int\frac{(6\sqrt3\sec^3t-18\sec^2t+\sqrt3\sec t+6)\sec t}{\sqrt{\sec^2t-1}}\,\mathrm dt
=\displaystyle\int\frac{(6\sqrt3\sec^3t-18\sec^2t+\sqrt3\sec t+6)\sec t}{\sqrt{\tan^2t}}\,\mathrm dt
=\displaystyle\int\frac{(6\sqrt3\sec^3t-18\sec^2t+\sqrt3\sec t+6)\sec t}{|\tan t|}\,\mathrm dt

Note that by letting x+2=\sqrt3\sec t, we are enforcing an invertible substitution which would make it so that t=\mathrm{arcsec}\dfrac{x+2}{\sqrt3} requires 0\le t or \dfrac\pi2. However, \tan t is positive over this first interval and negative over the second, so we can't ignore the absolute value.

So let's just assume the integral is being taken over a domain on which \tan t>0 so that |\tan t|=\tan t. This allows us to write

=\displaystyle\int\frac{(6\sqrt3\sec^3t-18\sec^2t+\sqrt3\sec t+6)\sec t}{\tan t}\,\mathrm dt
=\displaystyle\int(6\sqrt3\sec^3t-18\sec^2t+\sqrt3\sec t+6)\csc t\,\mathrm dt

We can show pretty easily that

\displaystyle\int\csc t\,\mathrm dt=-\ln|\csc t+\cot t|+C
\displaystyle\int\sec t\csc t\,\mathrm dt=-\ln|\csc2t+\cot2t|+C
\displaystyle\int\sec^2t\csc t\,\mathrm dt=\sec t-\ln|\csc t+\cot t|+C
\displaystyle\int\sec^3t\csc t\,\mathrm dt=\frac12\sec^2t+\ln|\tan t|+C

which means the integral above becomes

=3\sqrt3\sec^2t+6\sqrt3\ln|\tan t|-18\sec t+18\ln|\csc t+\cot t|-\sqrt3\ln|\csc2t+\cot2t|-6\ln|\csc t+\cot t|+C
=3\sqrt3\sec^2t-18\sec t+6\sqrt3\ln|\tan t|+12\ln|\csc t+\cot t|-\sqrt3\ln|\csc2t+\cot2t|+C

Back-substituting to get this in terms of x is a bit of a nightmare, but you'll find that, since t=\mathrm{arcsec}\dfrac{x+2}{\sqrt3}, we get

\sec t=\dfrac{x+2}{\sqrt3}
\sec^2t=\dfrac{(x+2)^2}3
\tan t=\sqrt{\dfrac{x^2+4x+1}3}
\cot t=\sqrt{\dfrac3{x^2+4x+1}}
\csc t=\dfrac{x+2}{\sqrt{x^2+4x+1}}
\csc2t=\dfrac{(x+2)^2}{2\sqrt3\sqrt{x^2+4x+1}}

etc.
3 0
3 years ago
One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
stiks02 [169]

Answer: The Numbers are 15 and 39

Step-by-step explanation: 2(15) + 9 = 39

3 0
2 years ago
Do any of you know how to do this
Gre4nikov [31]

Answer:

(x + 5)

Step-by-step explanation:

{x}^{2}  + 8x + 15 \\  {x}^{2}  + 3x + 5x + 15 \\ x(x + 3)5(x + 3) \\ (x + 3)(x + 5) \\ length \:  =  \frac{(x + 3)(x + 5)}{(x + 3)}  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = (x  + 5)

5 0
3 years ago
Read 2 more answers
Other questions:
  • How many rectangle faces dose a pentagonal pyramid have
    10·2 answers
  • Which lengths would form a right triangle?
    6·1 answer
  • Alisson had $55 she spent 3/5 of it then saved the rest.How much money did alisson save
    15·1 answer
  • Use the grouping method to factor the polynomial below completely. x3 + 2x2 + 3x + 6
    8·2 answers
  • If the combined area of the white and orange regions is 100π, what is the area of ONLY the orange region?
    8·2 answers
  • A chess board is an 8 by 8 grid of squares. If you randomly choose 3 squares on the board, what is the probability that:
    14·1 answer
  • Find the compound interest earned by the deposit. $16,000 @3% annually for 13 years
    11·1 answer
  • Put in order rational numbers
    7·2 answers
  • Help me with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • Q. Mohammed calculated the volume of the prism as 240 cm3. Is he correct? *<br> a- yes <br> b- no
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!