Answer:
x = 15
Step-by-step explanation:
Using the Altitude- on- Hypotenuse theorem
( leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )
x² = 9 × 25 = 225 ( take the square root of both sides )
x =
= 15
The formula for compounded interest in this type of equation is:
where A is the amount at the end of the time period, P is the principal amount you start with, R is the interest rate, N is the amount of compound periods, and T is the time allotted for the money to gain interest.
P = 5000, R = 3% or 0.03, N = monthly so 12, T = 2 years
Plug in our given information into the equation:

Let the calculator do the work here...
A ≈ 5308.785 which rounds to A ≈ 5308.79
Option A is your answer.
Answer:
The number of different lab groups possible is 84.
Step-by-step explanation:
<u>Given</u>:
A class consists of 5 engineers and 4 non-engineers.
A lab groups of 3 are to be formed of these 9 students.
The problem can be solved using combinations.
Combinations is the number of ways to select <em>k</em> items from a group of <em>n</em> items without replacement. The order of the arrangement does not matter in combinations.
The combination of <em>k</em> items from <em>n</em> items is: 
Compute the number of different lab groups possible as follows:
The number of ways of selecting 3 students from 9 is = 

Thus, the number of different lab groups possible is 84.
The interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2
<h3>How to interpret the points of intersection?</h3>
The graph of the two functions alongside their equations are the given parameters of this question
The functions are given as:
f(x) = 5x - x^2
g(x) = 3x - 0.5x^2
When the graphs of two curves or lines intersect on a coordinate plane, it means that the point of intersection represents where the graphs have equal value
In this case, it represents
f(x) = g(x)
Substitute the known values in the above equation
5x - x^2 = 3x - 0.5x^2
So, the interpretation of the point of intersection of the curves is (c) they give a solution to the equation 5x - x^2 = 3x - 0.5x^2
Read more about point of intersection at
brainly.com/question/11337174
#SPJ1