What will go Inside the boxes?

Mathematics

1 answer:

e-lub [12.9K]3 years ago

8 0

Answer:

18500 is the initial value

Every year they increase by a factor of 1.03

Step-by-step explanation:

This is written in the form

y = ab^x where a is the initial value and b is the growth rate/decrease

y = (18500) (1.03)^t

The initial value is 18500

The students will increase by 1.03 - 1 = .03

The factor of increase is what they multiply by which is 1.03

You might be interested in

Karen’s watering can is in the shape of a cylinder. If the radius 3 inches and the height is 10 inches, what is the volume of th

Olenka [21]

Answer:

309.6 inches³

Step-by-step explanation:

To calculate the volume of the cylinder, we use the formula V = π^rh (where π = 3.14, r (which is an exponent) is the radius of the circle face of the cylinder, and h is the height of the cylinder). In this case, the radius is 3 inches, and the height is 10 inches. Therefore the equation is 3.14^3 = 30.96 * 10 = 309.6.

Therefore the can's volume is approximately 309.6 inches³.

8 0

3 years ago

The diagram shows a 5 cm x 5 cm x 5 cm cube.

mylen [45]

Answer:

~8.66cm

Step-by-step explanation:

The length of a diagonal of a rectangular of sides a and b is

$\sqrt{a^2+b^2}$

in a cube, we can start by computing the diagonal of a rectangular side/wall containing A and then the diagonal of the rectangle formed by that diagonal and the edge leading to A. If the cube has sides a, b and c, we infer that the length is:

$\sqrt{\sqrt{a^2+b^2}^2 + c^2} = \sqrt{a^2+b^2+c^2}$

Using this reasoning, we can prove that in a n-dimensional space, the length of the longest diagonal of a hypercube of edge lengths $a_1, a_2, a_3, \ldots, a_n$ is