Answer:
$3125
Step-by-step explanation:

A = 250(1 + 0.25)ⁿ
A = (312.5)ⁿ
n = 10
A = $3125
A = I
Answer:
6.04 km
Step-by-step explanation:
From the image attached, both triangles form are similar to each other because their corresponding angles are equal, therefore they are equiangular triangles. equiangular triangles have the same shape but different sizes and the ratio of their corresponding sides are equal.
Therefore since their corresponding sides are equal we can calculate the distance from the main gate to Manatee Springs. It is given by:

x = 2400 yards.
The distance from the main gate to Manatee Springs = x + 4200 yards = 2400 + 4200 = 6600 yards
The distance from the main gate to Manatee Springs = 6600 yards = (6600 * 0.0009144) km = 6.04 km
The distance from the main gate to Manatee Springs = 6.04 km
Example of a real world problem:
Chris is starting a handmade card business. In the beginning, he starts off with 15 cards and makes 4 new cards every week.
The variable (x) would represent the number of weeks that passed.
Example 2:
Sam decides to start saving up money to buy a video game. She starts off with 15 dollars and gets an allowance of 4 dollars every day.
The variable (x) would represent the number of days that pass.
To come up with your own equation, most times, x represents a unit of time. The zero value (the number that isn’t being multiplied by a variable) in the equation always represents your starting value, and the coefficient of the variable represents how much of something is being gained or added after a duration of time.
I hope this helps!
Radical expression are expressions that contains square root. The value of x from the given radical expression is 3
<h3>Radical equations and expression</h3>
Given the equation expressed as:
x = 2 + √x - 2
Subtract 2 from both sides
x - 2 = √x - 2
Square both sides
(x-2)^2 = x - 2
x - 2 = 1
x = 1 + 2
x = 3
Hence the value of x from the given radical expression is 3
Learn more on radical expression here: brainly.com/question/738531