Your salary in x years is modeled an the exponential growth
The equation that determines your salary in x years is y = 45000(1.05)^x
<h3>How to model the salary growth?</h3>
The model of the exponential growth is given as:
y = a(1 + r)^x
From the question, we have:
Initial salary, a = 45000
Raise, r = 5%
So, the equation becomes
y = 45000(1 + 5%)^x
Evaluate the sum
y = 45000(1.05)^x
Hence, the equation that determines your salary in x years is y = 45000(1.05)^x
Read more about exponential functions at:
brainly.com/question/11464095
Answer:
Step-by-step explanation:
Let
h -----> the number of hours, Elon works during one 5-day work week
we know that
Elon’s break time must be equal to 1/2 of an hour multiplied by 5 days plus 1/5 multiplied by the total hours h
so
Solve for h
Multiply by 10 both sides to remove the fraction
In a square all 4 sides are equal, so when you cut it along the diagonal to make a triangle, both the base and the height of the triangle would be the same.
The area of a triangle is found by the formula 1/2 x base x height
Since the base and height are the same the formula becomes Area = 1/2 x S^2 ( where S is the length of a side).
The area is given as 0.72 square units.
Now you have 0.72 = 1/2 x S^2
First multiply both sides by 2:
1.44 = S^2
To find S, take the square root of both sides:
S = √1.44
S = 1.2
The side length is 1.2 units.
2/5 ≥ x - (4/5). add 4/5 to each side
6/5 ≥ x
4h +8=20
Hours worked times rate paid plus 8 must equal 20
