Current registration fee at triumphant college = N$ 1000
Percentage by which the registration fee will be increased next year = 11.5%
Registration fee at triumphant college next year :
= Current registration fee + 11.5% of current registration fee
Therefore, the registration fee at triumphant college next year = <u>N$ 1115</u>
The rate of change of the depth of water in the tank when the tank is half
filled can be found using chain rule of differentiation.
When the tank is half filled, the depth of the water is changing at <u>1.213 × </u>
<u>10⁻² ft.³/hour</u>.
Reasons:
The given parameter are;
Height of the conical tank, h = 8 feet
Diameter of the conical tank, d = 10 feet
Rate at which water is being pumped into the tank, = 3/5 ft.³/hr.
Required:
The rate at which the depth of the water in the tank is changing when the
tank is half full.
Solution:
The radius of the tank, r = d ÷ 2
∴ r = 10 ft. ÷ 2 = 5 ft.
Using similar triangles, we have;
The volume of the tank is therefore;
Therefore;
By chain rule of differentiation, we have;
Which gives;
When the tank is half filled, we have;
Solving gives;
h³ = 256
h = ∛256
Which gives;
When the tank is half filled, the depth of the water is changing at <u>1.213 × 10⁻² ft.³/hour</u>.
Learn more here:
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
3/4(8x + 20) - 4x > -11
x ==> ?
Step 02:
Inequality :
2x + 15 > -11
2x + 15 - 15 > -11 - 15
2x > - 26
2x / 2 > -26 / 2
x > - 13
The answer is:
x > -13