Answer:
t= 3 years
Step-by-step explanation:
So far we have 2 useful relationships
and 
Now, clearing t

I apply logarithm
years
Done
Simplifying
4x + 16 + -1x = 22 + 6
Reorder the terms:
16 + 4x + -1x = 22 + 6
Combine like terms: 4x + -1x = 3x
16 + 3x = 22 + 6
Combine like terms: 22 + 6 = 28
16 + 3x = 28
Solving
16 + 3x = 28
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 3x = 28 + -16
Combine like terms: 16 + -16 = 0
0 + 3x = 28 + -16
3x = 28 + -16
Combine like terms: 28 + -16 = 12
3x = 12
Divide each side by '3'.
x = 4
Simplifying
x = 4
Answer:
635.2 cm^3.
Step-by-step explanation:
Volume of the cylinder = π r^2 h
= 3.14 * 4^2 * 5 = 251.2
Volume of the prism = 4 *8 * 12
= 384
Total volume = 384 + 251.2
The value of
is 
Explanation:
Given that the function
is 
We need to determine the value of 
<u>The value of Opposite side of the triangle:</u>
The formula for
is given by

The value of opposite side can be determined using the formula,




Thus, the value of opposite side is 4
<u>The value of </u>
<u>:</u>
The formula for
is given by

First, we shall determine the value of 
The formula for
is given by

Substituting the values, we have,

Thus, the value of
is 
Substituting the values in the formula for
, we have,


Hence, the value of
is