All categories

3 years ago

23800 is 34% of annual income. what is the income?

Mathematics

1 answer:

BARSIC [14]3 years ago

5 0

Hey there!

If you ever see the word "is" in a story problem, it means that there is an equal sign there. Let's apply that to this.

23800 =(is) 0.34i (income)

Now, we can solve for i by dividing.

23800/0.34= 70,000

Therefore, the annual income is $70,000.

I hope this helps! Have a great day!

You might be interested in

A right triangle has a height of 27 inches and a base of 30 inches what is the area of the triangle

klasskru [66]

Answer:

The answer is 405

Step-by-step explanation:

FIrst you would do 27 times 30 which is 810 then you would divided by 2 which in turn gives you 405

Hope this helped!

7 0

3 years ago

A ball is launched upward at 14 m/s from a platform 30 m high.Find the maximum height the ball will reach and how long it will t

BartSMP [9]

Answer:

The ball will reach a maximum height of 39.993 meters after 1.428 seconds.

Step-by-step explanation:

Let suppose that no non-conservative forces acts on the ball during its motion, then we can determine the maximum height reached by the Principle of Energy Conservation, which states that:

$K_{1}+U_{g,1} = K_{2}+U_{g,2}$ (1)

Where:

$K_{1}$ , $K_{2}$ - Initial and final translational kinetic energies, measured in joules.

$U_{g,1}$ , $U_{g,2}$ - Initial and final gravitational potential energies, measured in joules.

By definition of translational kinetic energy and gravitational potential energy we expand and simplify the expression above:

$\frac{1}{2}\cdot m\cdot v_{2}^{2}+m\cdot g\cdot y_{2}= \frac{1}{2}\cdot m\cdot v_{1}^{2}+m\cdot g\cdot y_{1}$ (2)

Where:

$m$ - Mass of the ball, measured in kilograms.

$g$ - Gravitational acceleration, measured in meters per square second.

$v_{1}$ , $v_{2}$ - Initial and final speed of the ball, measured in meters per second.

$y_{1}$ , $y_{2}$ - Initial and final heights of the ball, measured in meters.

The final height of the ball is determined by the following formula:

$v_{2}^{2}+2\cdot g\cdot y_{2} = v_{1}^{2}+2\cdot g\cdot y_{1}$

$v_{1}^{2}-v_{2}^{2}+2\cdot g \cdot y_{1}=2\cdot g\cdot y_{2}$

$y_{2} = y_{1}+\frac{v_{1}^{2}-v_{2}^{2}}{2\cdot g}$ (3)

If we know that $y_{1} = 30\,m$ , $v_{1} = 14\,\frac{m}{s}$ , $v_{2} = 0\,\frac{m}{s}$ and $g = 9.807\,\frac{m}{s^{2}}$ , the maximum height that the ball will reach is:

$y_{2} = 30\,m + \frac{\left(14\,\frac{m}{s} \right)^{2}-\left(0\,\frac{m}{s} \right)^{2}}{2\cdot \left(9.807\,\frac{m}{s^{2}} \right)}$

$y_{2} = 39.993\,m$

The ball will reach a maximum height of 39.993 meters.

Given the absence of non-conservative forces, the ball exhibits a free fall. The time needed for the ball to reach its maximum height is computed from the following kinematic formula:

$t = \frac{v_{2}-v_{1}}{-g}$ (4)

If we know that $v_{1} = 14\,\frac{m}{s}$ , $v_{2} = 0\,\frac{m}{s}$ and $g = 9.807\,\frac{m}{s^{2}}$ , then:

$t = \frac{0\,\frac{m}{s}-14\,\frac{m}{s} }{-9.807\,\frac{m}{s^{2}} }$

$t = 1.428\,s$

The ball will take 1.428 seconds to reach its maximum height.

6 0

3 years ago

A square is inscribed in a circle such that each corner touches the circle.

Scrat [10]

Answer:

A(r) = √2 * r

A(r) Domain is R { r ; r > 0}

Step-by-step explanation:

Diagonals of a square intercept each other in a 90° angle. The four triangles resulting from diagonal interception are equal and are isosceles triangles, with hipotenuse a side of the square

Therefore we apply Pythagoras theorem

Let x be side of square, and r radius of the circle, ( diagonals touch the circle) then

x² = r² + r²

x² = 2r²

x = √2 * r

Now Aea of square is :

A = L² where L is square side

A(r) = √2 * r

Domain of A(r) = R { r, r > 0}

6 0

3 years ago

Change 9 out of 50 to a percentage.

Readme [11.4K]

Answer:

18%

Step-by-step explanation:

9 divided by 50

6 0

3 years ago

Read 2 more answers

What is 35/100 reduced and how do I reduce?

NikAS [45]

To reduce fraction we have to divide numerator and denominator by the same number. We can repeat operation few times.
Lets do this
$\frac{35}{100}= \frac{35:5}{100:5}= \frac{7}{20}$ - its the most reduced form. We cant divide 7 and 20 by the same number to not obtain number with coma. (because 7 is prime number so can be divided only by 1 and by 7)

3 0

3 years ago

Read 2 more answers