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Sunny_sXe [5.5K]
3 years ago
5

A shop makes a profit of £2750 in March it has an Easter sale and the profit for April is £3162.50. Work out the profit percenta

ge increase
Mathematics
1 answer:
astraxan [27]3 years ago
7 0

Answer:

The profit percentage increase is given by:

(April profit-March profit)/(April profit)×100

=(3162.50-2750)/3162.50×100

=13.044%

Step-by-step explanation:


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The weight of an object on Venus is approximately 9/10 of its weight on Earth. The weight of an object
Sergeeva-Olga [200]

An object weighs 140 pounds more on Jupiter than it weighs on Venus. By simple algebraic operations, the required value is calculated.

<h3>What are the algebraic operations?</h3>

Addition, subtraction, multiplication, and division are the basic algebraic operations that are used for many computations.

<h3>Calculation:</h3>

It is given that,

An object's weight on Venus is approximately 9/10 of its weight on earth. I.e., WV = 9/10 WE

An object's weight on Jupiter is approximately 23/10 of its weight on earth. I.e., WJ = 23/10 WE

If an object weighs 100 pounds on earth, then

The weight of the object on Venus is

WV = 9/10 × 100 = 90 pounds

The weight of the object on Jupiter is

WJ = 23/10 × 100 = 230

Thus, the difference between them is 230 - 90 = 140 pounds.

So, the object weighs 140 pounds more on Jupiter than on Venus.

Learn more about algebraic operations here:

brainly.com/question/24935016

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8 0
1 year ago
A particle is projected with a velocity of <img src="https://tex.z-dn.net/?f=40ms%5E-%5E1" id="TexFormula1" title="40ms^-^1" alt
Katena32 [7]

Answer:

2\sqrt{55}\text{ m/s or }\approx 14.8\text{m/s}

Step-by-step explanation:

The vertical component of the initial launch can be found using basic trigonometry. In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse. Let the vertical component at launch be y. The magnitude of 40\text{ m/s} will be the hypotenuse, and the relevant angle is the angle to the horizontal at launch. Since we're given that the angle of elevation is 60^{\circ}, we have:

\sin 60^{\circ}=\frac{y}{40},\\y=40\sin 60^{\circ},\\y=20\sqrt{3}(Recall that \sin 60^{\circ}=\frac{\sqrt{3}}{2})

Now that we've found the vertical component of the velocity and launch, we can use kinematics equation v_f^2=v_i^2+2a\Delta y to solve this problem, where v_f/v_i is final and initial velocity, respectively, a is acceleration, and \Delta y is distance travelled. The only acceleration is acceleration due to gravity, which is approximately 9.8\:\mathrm{m/s^2}. However, since the projectile is moving up and gravity is pulling down, acceleration should be negative, represent the direction of the acceleration.

What we know:

  • v_i=20\sqrt{3}\text{ m/s}
  • a=-9.8\:\mathrm{m/s^2}
  • \Delta y =50\text{ m}

Solving for v_f:

v_f^2=(20\sqrt{3})^2+2(-9.8)(50),\\v_f^2=1200-980,\\v_f^2=220,\\v_f=\sqrt{220}=\boxed{2\sqrt{55}\text{ m/s}}

3 0
3 years ago
As school prefect, write a letter to your District or municipal or metropolitan executive requesting the maintenance of the buil
serious [3.7K]

Answer:

jsjsid sjdic8fnw jv 8djw efjiw eifwjiffjw djfivieo UK

6 0
3 years ago
Write the standard equation for the hyperbola with the following conditions: vertices: (-2, -3) and (6, -3) foci: (-4, -3) and (
STALIN [3.7K]
Hello,

Vertices are on a line parallele at ox (y=-3)

The hyperbola is horizontal.

Equation is (x-h)²/a²- (y-k)²/b²=1

Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and  2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)

Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6

c²=a²+b²==>b²=36-4²=20

Equation is:
\boxed{ \dfrac{(x-2)^2}{16} - \dfrac{(y+3)^2}{20} =1}&#10;&#10;



8 0
3 years ago
I need help with this specific math problem.
Anika [276]

Answer:

Example 1 Find the inverse transform of each of the following.

F

(

s

)

=

6

s

−

1

s

−

8

+

4

s

−

3

H

(

s

)

=

19

s

+

2

−

1

3

s

−

5

+

7

s

5

F

(

s

)

=

6

s

s

2

+

25

+

3

s

2

+

25

G

(

s

)

=

8

3

s

2

+

12

+

3

s

2

−

49

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3 0
3 years ago
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