Answer:
Deduction in the step-by-step explanation
Step-by-step explanation:
If a P0=50.000 deposit is compound every instant, the ammount in the account can be modeled as:
If you pull out d dollars a year, the equation becomes:
If we derive this equation in terms of t, we have
The first term can be transformed like this:
So replacing in the differential equation, we have
Rearranging
Answer:
what equation
Step-by-step explanation:
what equation
Answer:
Step-by-step explanation:
Given equation:
Divide both sides by 5:
Cube both sides:
Add 4 to both sides:
Divide both sides by 3:
Let us find the length of rope Jules will need using the pythagoras theorem .
Width of the moat ( let the moat be the base of this triangle ) = 14 foot
Distance from Roma's window to the boat ( let this be the side of the triangle where the right angle is present ) =20 feet
Then the length of rope needed ( hypotenuse ) =
= Let us name the triangle that is formed as △ ABC . Then ;
In △ ABC :
AB = the width of moat ( leg of triangle ) = 14 foot
BC = The distance from the window to the moat ( base ) = 20 feet
AC = Length of rope needed ( hypotenuse ) =
= AB ² + BC² = AC² ( according to the pythagoras theorem the square on the hypotenuse will be equal to the sum of the squares on the other two legs )
= 14² + 20² = AC²
= 196 + 400 = AC²
= 596 = AC²
= 24 × 24 = AC × AC
= 24 foot = AC = length of rope needed by jules .
Therefore , Jules will need a 24 foot rope so that his girlfriend can slide down and escape from her apartment .
