A computer is normally $550 but is discounted to $385. What percent of the original price does Mark pay?

Can someone help me?

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Explanation:

The phrasing "translated along <4,6>" is another way of saying "shift 4 to the right, shift 6 up"

In general, "translated along <m,n>" is the same as writing [tex](x,y) \to (x+m, y+n)[/tex]. If m is positive, then we shift m units to the right. If m is negative, then we shift to the left. The same story happens with the n, but we focus on the y coordinate.

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With all that in mind, starting at F(-5,-9) and translating along <4,6> has us arrive at (-1, -3). Add 4 to the x coordinate and add 6 to the y coordinate.

We can say

[tex](x,y) \to (x+4,y+6)\\\\(-5,-9) \to (-5+4,-9+6)\\\\(-5,-9) \to (-1,-3)\\\\[/tex]

Showing that (-5,-9) moves to (-1,-3)

This is after the first translation, but there's a second translation.

We'll apply the same idea, but different numbers this time

[tex](x,y) \to (x+3,y+5)\\\\(-1,-3) \to (-1+3,-3+5)\\\\(-1,-3) \to (2,2)\\\\[/tex]

So (-1,-3) moves to (2,2)

Overall we have

Therefore, the original point ends up at (2,2) which is the final answer

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Extra info:

A nice shortcut is that the vectors <4,6> and <3,5> can be added to get <4+3,6+5> = <7,11>. So overall, we're shifting 7 units to the right and 11 units up when we combine the two translation vectors.

Answer:

925.04cm²

Step-by-step explanation:

Curved surface area of a cylinder = 2πrh

r is the radius

h is the height

If the sum of the radius of the base and height of the cylinder is 21 cm, then;

r + h = 21

r = 21-h..... 1

Recall:

CSA =  2πrh

616 = 2πrh ....2

Substitute equation 1 into 2;

616 = 2π(21-h)h

616 = 2π(21h-h²)

616 = 42(3.14)h - 2(3.14)h²

616 = 131.88h - 6.28h²

98.09 = 21h - h²

h²-21h+98.09 = 0

h = 21±√21²-4(98.09)/2

h = 21±√441-392.36/2

h = 21±√48.64/2

h = 21±6/97/2

h = 21+6.97/2 and 21-6.97/2

h = 27.97/2 and 14.03/2

h = 13.985 and 7.015

Since r = 21-h

r = 21 - 13.985

Using r = 7.015

The total surface area = 2πrh + 2πr²

The total surface area = 616 + 2(3.14)7.015²

The total surface area = 616 + 309.04

The total surface area = 925.04

Hence the total surface area of the cylinder is 925.04cm²

Answer:

y= m(x-x1) +y1

Step-by-step explanation:

that is point slope form

Answer:

answer 4 is correct

y-y1=m(x-x1)

putting value of m that is slope formula .

Answer:

0

Step-by-step explanation:

Something divided OR multiplied by 0 always ends with 0

Answer:

63/7 = 9.

I think

Hope this helps

Answer:

A

Step-by-step explanation:

slope is -,y-intercept is 2

y=+mx+2

A

Answer:

20°

Step-by-step explanation:

4x+27°+9x-115°=107°

4x+9x + 27°-115°=107°

13x-88°=107°

add 88 on both sides

13x=195°

divide 13 on both sides

x=15

9(15°)-115°

135°-115° = 20

The answer is 20

Answer:

20

Step-by-step explanation:

Answer:

From the question it is given that x<0 and y>0 or in other words x is negative and y is positive.

(a)x y : x is negative and y is positive

⇒negative x positive = negative

Therefore, xy is negative

(b)x[tex]y^{2}[/tex] :  x  is negative and [tex]y^{2}[/tex] is positive

⇒negative x positive = negative

Therefore, x[tex]y^{2}[/tex] is negative

(c) (x − y)xy : x  is negative and [tex]y^{2}[/tex] is positive

⇒(x − y) is negative and xy is negative {from (a)}

⇒negative x negative = positive

Therefore, (x-y)xy is negative

(d) y(y − x): x is negative and y is positive

here y - x is positive

⇒positive x positive = positive

Therefore, (y-x)y is negative

Answer:

D

Step-by-step explanation:

volume=1/2 ×6×8×7=168 units³

Answer:

sin A = sin B = sin C

Step-by-step explanation:

The sine rule is a law which relates all the three sides of a triangle with the sine of their opposite angles in the triangle. Given a triangle with a side of a and an opposite angle of A, side b with opposite angle B and side c with opposite angle C. The sine rule is given as:

[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]

Given that all the side of the triangle have a length of 1, that is a = b = c = 1, hence the equation becomes:

[tex]\frac{sin(A)}{1}=\frac{sin(B)}{1}=\frac{sin(C)}{1}\\\\sin(A)=sin(B)=sin(C)[/tex]

Answer:

sin A = sin B = sin C

Step-by-step explanation:

edg

Answer:

86.6

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf x = 2 , y = -2}[/tex]

Step-by-step explanation:

The common point where the lines of the two equations meet is exactly the solution of the system of equations.

So,

The common point is (x,y) = (2,-2)

This means that x = 2 and y = -2.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

Int 2520, Ext 360

Int 3960, Ext 360

Int 5040, Ext 360

Int 2160, Ext 360

Int 3600, Ext 360

Int 6840, Ext 360

Step-by-step explanation:

Interior angles of a polygon = (sides - 2) × 180

Exterior angles are always 360

Please Mark as Brainliest if you found it helpful!

The measures of an exterior angle are 2520°, and an interior angle is 360° in the given regular polygon with 16 sides.

An interior angle is defined as an angle produced on the inside of a polygon by extending the sides of the polygon.

Interior angles of a polygon = (sides - 2) × 180°

To determine the measures of an exterior angle and an interior angle given a regular polygon with 16 sides.

Interior angles of a polygon = (sides - 2) × 180°

In this case, the number of sides is 16

Interior angles of a polygon = (16 - 2) × 180

Interior angles of a polygon = (14) × 180

Interior angles of a polygon = 2520

And, Exterior angles are always 360° in the regular polygon.

Similarly, the other regular polygons :

A regular polygon with 24 sides: Int 3960, Ext 360

A regular polygon with 30 sides: Int 5040, Ext 360

A regular polygon with 14 sides: Int 2160, Ext 360

A regular polygon with 22 sides: Int 3600, Ext 360

A regular polygon with 40 sides: Int 6840, Ext 360

Learn more about the exterior angles here :

https://brainly.com/question/28835566

#SPJ2

Answer:

B

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

XP bisects <X into two equal parts, <1 and <2. Therefore,

<1 = <2

<1 = 5x - 2

<2 = 4x + 5

Thus:

5x - 2 = 4x + 5

5x - 2 - 4x = 5 (subtraction property of equality)

x - 2 = 5

x = 5 + 2 (addition property of equality)

x = 7

Answer: at 44 minutes, 60% of the students will be finished with the test

Step-by-step explanation:

Given the data in the question;

we have a uniform  distribution between 35 and 50

so

50 - 35 = 15

now, we simply multiply 15 by 60%; 15 × 0.6 = 9

so after 9 minutes, 60% percent of the students are done

Hence, 9min + 35 min = 44 minutes

Therefore at 44 minutes, 60% of the students will be finished with the test

The time T when 60% of the students will be finished with the test is 44 minutes.

The percentage is the value per hundred.

The time limit for the test = 50minute

The first student finishes in 35 minutes

The last student finishes in 50 minutes

So the difference between time = 15 minutes

It is given that the time it takes a student to finish the test is uniformly distributed over [35, 50].

So, the time T when 60% of the students will be finished with the test

T=35 + 60% of 15 minutes

T= 35 + 60*15/100

T= 44 minutes

Therefore,  the time T when 60% of the students will be finished with the test is 44 minutes.

To get more about the percentage visit:

Answer:

25 miles

Step-by-step explanation:

18 ÷ 72% =

18 ÷ (72 ÷ 100) =

(100 × 18) ÷ 72 =

1,800 ÷ 72 =

25

Circle B has a diameter that is 1 1/2 times as long as Circle A's diameter. What is the circumference of Circle B? Solution. 4 m. If the diameter ...

Answer:

Step-by-step explanation:

13) QR ≅ BP   ;  RP ≅ PA ;  PQ ≅ AB

ΔQRP ≅ΔBPA        by Side Side Side Congruent

QR ≅ BP ; ∠R ≅ ∠BPA ;  RP  ≅ PA

ΔQRP ≅ ΔBPA            by Side Angle Side congruent

15) ML ≅ WV ; MX ≅ WX ;  LX ≅ VX;

ΔMLX ≅ ΔWVX    Side side side congruent

∠L ≅ ∠V   ;  ML ≅ WV ; ∠M ≅ ∠W

ΔMLX ≅ ΔWVX    Angle side Angle congruent

9514 1404 393

Answer:

  a) interest: $215.33

  b) proceeds: $3584.67

  c) effective rate: 9.01%

Step-by-step explanation:

a) The problem statement tells you the loan was discounted 8.5%. The amount of interest paid is ...

  I = Prt

  I = $3800·0.085·8/12 ≈ $215.33

__

b) The proceeds of the loan are ...

  $3800 -215.33 = $3584.67

__

c) The actual rate is found using the same formula as above, solving for r:

  r = I/(Pt) = $215.33/($3584.67·2/3) ≈ 0.0901 = 9.01%

Answer: B. 16.72 years

Step-by-step explanation:

If interest is compounded bi-monthly, the formula to calculate the accumulated amount (A) is given by:-

[tex]A=P(1+\dfrac{r}{24})^{24x}[/tex] , where P = principal , r= rate of interest, x= time period(years).

[1 year =12 months, total periods in 12 months if period per month is 2 = 2 x 12 =24]

Given: P= 1000, A= 2000, r= 4.15% = 0.0415

Substitute all values in formula , we get

[tex]1000\times (1+\dfrac{0.0415}{24})^{24x}=2000\\\\\Rightarrow\ (1.00172916667)^{24x}=2\\\\\text{Taking log on both sides, we get}\\\\\Rightarrow \ln(1.00172916667)^{24x}=\ln2\\\\\Rightarrow 24x\ln(1.00172916667)=\ln2\\\\\Rightarrow\ x=\dfrac{\ln 2}{24\ln(1.00172916667)}\approx16.72\ years[/tex]

Hence, option B. is correct.

Answer:

D

Step-by-step explanation:

Leave everything the same except you add -5 and 2 =-3

Answer:

Its 55

Step-by-step explanation:

hope this helps

Answer:

55%

Step-by-step explanation:

Hope this helps you :)

Have a great day!

Answer:

This question is asking us to solve both of these equations, so let's do exactly that!

First equation:

[tex]n(n+1)+2n+2\\n^2+1n+2n+2\\n^2+3n+2[/tex]

Second Equation:

[tex](n+1)(n+2)\\n^2+2n+1n+2\\n^2+3n+2[/tex]

Both of the equations result with the same answer, therefore n(n+1)+2n+2 is equivalent to (n+1)(n+2).

Hope that helped! :)

Answer:

Answer:

First, we know that the function IxI works as follows:

IxI = x   if x ≥ 0

IxI = -x  if x < 0

So IxI is always positive.

then:

a) f(x) = Ix - 2I

this is:

f(x) = (x - 2)           if   (x - 2) ≥ 0

       -(x - 2)          if    (x - 2) < 0

Then the graph of this function will be two lines (where the separation of the lines depends on the vale of x)

For the case of b we have

g(x) = -IxI + 1

then we have:

g(x) = -x + 1          if   x ≥ 0

g(x) = -(-x) + 1       if   x < 0

To graph the functions, you need to graph these lines for the given values of x. You also can see the graphs below. Where the red graph is the one for the point 4a, and the blue graph is the one for point 4b.

Now, let's find the domain and range:

4a) f(x) = Ix  - 2I

The domain is the set of the possible values of x that we can input in that function. For this case, we do not have any value of x that generates a problem (like a zero in a denominator, for example) then the domain is the set of all real numbers:  x ∈ R

The range is the set of the possible values of y.

f(x) = Ix - 2I is always equal or greater than zero (as you can also see in the graph) then the range will be:

R: y ∈ R, such that y ≥ 0.

4b) g(x) = -IxI + 1

Similar as the prior case, here the domain is the set of all real numbers:

D: x ∈ R

For the range, now we have:

y = -IxI + 1

if IxI is always equal or larger than zero, then -IxI is always equal or smaller than zero. If we add a + 1 to that, then the function will be always equal or smaller than 1.

Then the range is:

R: y ∈ R, such that y ≤ 1

Answer:

The answer is 53, C.

Step-by-step explanation:

10 * 5 + 3

50 + 3

53

Answer:

11/5-1/2     =    22/10-5/10= 17/10   =   1  7/10

Step-by-step explanation:

The answer is 1  7/10

Answer:

17/10 or in mixed numbers 1 and 7/10

Step-by-step explanation:

So first they both have to share a common denominator which will be 10 so for 11/5 you multiply 2 to the denominator. Whatever you do to the bottom you do to the top so 2 times 11 is 22. For 1/2 you multiply the bottom by 5, whatever you do to the bottom you do to the top so 5 times 1 is 5, everything converted should be 22/10-5/10 and that equals 17/10

Step-by-step explanation:

❀ [tex] \underline{ \underline{ \text{Given}}} : [/tex]

❀ [tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

❀ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

~Plug the value of y at first :

➾ [tex] \sf{ {-4}^{2} + 5 \times (-4 )+ 1}[/tex]

~ Evaluate the power : 4²

➾ [tex] \sf{16 + 5 \times (-4 )+ 1}[/tex]

Follow the BODMAS { Bracket , Of , Division , Multiplication , Addition and Subtraction } rule :

~Multiply -5 and 4

➾ [tex] \sf{16 + (-20)+ 1}[/tex]

~ Multiply the signs : ( + ) and ( - ) :

➾ [tex] \sf{16 - 20 + 1}[/tex]

~Add the numbers : 16 and 1

➾ [tex] \sf{17-20}[/tex]

~ Subtract 20 from 17

➾ [tex] \sf{-3}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{⟿ \: Our \: final \: answer : -3}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ツ

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Answer:

650

Step-by-step explanation:

because it says that she earns 50 for each hour so if u multiple 50×13 u get =650