Answer:

Step-by-step explanation:
The equation of a line in slope-intercept form:

m - slope
b - y-intercept → (0, b)
We have the x-intercept = 4 → (4, 0), and y-intercept = 5 → b = 5.
Therefore we have the equation:

Put the coordinates of x-intercept to the equation:
<em>subtract 4m from both sides</em>
<em>divide both sides by (-4)</em>

Finally we have the equation of a line if slope-intercept form:

The standard form:

Convert:
<em>multiply both sides by 4</em>
<em>add 5x to both sides</em>

Answer:
238.65
Step-by-step explanation:
To find the simple interest we use the formula:
A = P(1 + rt)
Let's break down all the variables that we have.
P = 3,700
r = 2.15% or 0.0215
t = 3
So let's put all our variables into the formula.
A = P(1 + rt)
A = 3,700(1 + (0.0215)(3))
A = 3,700(1 + 0.0645)
A = 3,700(1.0645)
A = 3938.65
Gary will have a total of 3938.65 in his account after 3 years. Now to find how much he made in interest, we simply subtract the total after 3 years to his initial amount.
Interest = 3938.65 - 3700
Interest = 238.65
Answer:14
Step-by-step explanation:
We know that the sum of the interior angles of a triangle equals 180, then,in this case we have the following equation:

then, solving for b, we get:

now that we have that b = 41, we can find the measure of each angle:
Answer:
Step-by-step explanation:
Their point of intersection, assuming there is one, will be somewhere on the line y = x. This line, y = x, is the line of symmetry between a function and its inverse. So if the two do in fact intersect, it will be at some point on that line