Answer:
P(t) = 2000 · e^((1.8 / 100) ·t)
Step-by-step explanation:
If the diameter is 9 cm the radius is 4.5 cm (half the diameter). The area of a circle is given by the formula: 4πr^2, where π is the constant ratio of circumference to diameter (3.14159...).
3.14 cm x 4.5 cm = 14.13 cm^2. Remember, the units must be squared to represent area. 14.13 is extended to the nearest hundredth.
In this question we have a diagram given. ANd on the basis of that diagram, we have to find the relationship between angles LMS and SMN.
As we see in the diagram, that these angles are one after another. ANd such angles are known as adjacent angles . So these two angles are adjacent angles .
So out of the four options, the correct option is the first option .
I’m pretty sure you do need to subtract 30-8.
The volume of a box is the amount of space in the box
The dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
<h3>How to determine the dimensions that minimize the cost</h3>
The dimensions of the box are:
Width = x
Depth = y
So, the volume (V) is:

The volume is given as 64 cubic inches.
So, we have:

Make y the subject

The surface area of the box is calculated as:

The cost is:
--- the base is twice as expensive as the sides
Substitute 


Differentiate

Set to 0

Multiply through by x^2

Divide through by 4

Add 64 to both sides

Take the cube roots of both sides

Recall that:

So, we have:


Hence, the dimensions that minimize the cost of the box is 4 in by 4 in by 4 in
Read more about volume at:
brainly.com/question/1972490