a. 40 if you dont believe me just look at a 40 degree triangle then the pic
The exponential function that passes through (0,2) and (3,54) is a growth function
The exponetial function is y = 2 * 3^x
<h3>How to construct the exponential function?</h3>
The points are given as:
(x,y) = (0,2) and (3,54)
An exponential function is represented as:
y = ab^x
Substitute the points in the equation
2 = ab^0 and 54 = ab^3
Solve 2 = ab^0
a = 2
Substitute 2 for a in 54 = ab^3
54 = 2b^3
Divide by 2
27 = b^3
Take the cube roots of both sides
b = 3
So, we have:
y = ab^x
This becomes
y = 2 * 3^x
Hence, the exponetial function is y = 2 * 3^x
Read more about exponential functions at:
brainly.com/question/24077767
Answer:
Rent each month = $1421
Amount left after rent and taxes monthly = $2453
Step-by-step explanation:
Gross salary; $61,992 per year
His gross pay per month will be;
61992/12 = $5166
Now, the standard recommended rule in budgeting for house rent is to use between 25% to 30% of your monthly pay for rent.
Now, let's adopt an average of 27.5%
Thus;
Amount he can afford for rent each month = 27.5% × 5166 = $1420.65 ≈ $1421
We are told he pays 25% of his gross monthly income in federal and state taxes.
Thus, amount spent on taxes each month = 25% × 5166 = $1291.5 ≈ $1292
Thus, amount he will gave left after rent and taxes = 5166 - (1421 + 1292) = $2453
No
Given 3 sides of a triangle, the sum of any 2 sides must be greater than the third side.
Consider the 3 given sides 1, 7 and 11
7 + 11 = 18 > 1
1 + 11 = 12 > 7
1 + 7 < 11 ⇒ not valid
Hence these sides do not form a triangle
Answer:
it's the square and the rectangle