Answer:
a) 180
b) CJ= 5.83095189485
CK= 9.89949493661
CL= 8.0622577483
c) All angles formed by a point and its image, with the vertex at the center of rotation, are congruent. Each point on the original figure is the same distance from the center of rotation as its image.
Step-by-step explanation:
Answer:
20 years.
Step-by-step explanation:
We have been given a formula
, which represents the value of an investment A (in dollars) after t years.
Substitute the given values:

Let us solve for k.


Take natural log of both sides:

Using property
, we will get:

We know that
, so

Dividing both sides by 1000, we will get:

Take natural log of both sides:







Divide both sides by
:


Therefore, it will take 20 years for the investment to be $9,000.
Answer: 18
<u>Step-by-step explanation:</u>
3² * 3ⁿ = 3²⁰
3⁽²⁺ⁿ⁾ = 3²⁰
2 + n = 20
<u> -2 </u> <u> -2</u>
n = 18
Answer:
V = 36 pi cm^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3 where 4 is the radius
V = 4/3 pi(3)^3
V = 36 pi cm^3