Answer:
The slope of the linear equation will be 60 and the point on the line will be (6,1250).
R - 1250 = 60(y - 6)
Step-by-step explanation:
An apartment lease states that the rent will go up by $60 each year. The rent in the 6th year is $1250.
Therefore, the slope of the linear equation will be 60 and the point on the line will be (6,1250).
Now, the point-slope form of the linear equation which models the rent (R(y)) in terms of how many years (y) the tenants have lived there will be
R - 1250 = 60(y - 6) (Answer)
Answer:
$3,090.64
Step-by-step explanation:
We shall allocate a random letter to each value, with that I explain the formula.
Initial value of investment = $5,003.86 = P
Rate of interest = 3.7% = R
Compounding interval in a year = 365 = I
Total period = 13 years = T
Value of investment in compound interest formula shall be:

Now, putting values in the above equation:

= $8,094.50
Thus, interest earned = Total value of investment on maturity - Initially invested amount
= $8,094.50 - $5,003.86 = $3,090.64
For this triangle in particular, we can use the special rules of a 30-60-90 triangle
This says:
The opposite side of 30° is: x
The opposite side of 60° is: x * sqrt(3)
The opposite side of the 90° is: 2x
We have our side length for 90° so we just have to work backwards
To find our 30° side length we must divide by 2
8/2 = 4
Which means your y = 4
Now that we have our 30° side length we can just multiple it by sqrt(3)
That means your x = 4 sqrt(3)
Your answer is 9.
Since you have
2(2)^2 you get 2(4) which is 8.
Then you have -3(2) which is -6.
Lastly you have the 7.
When you add it up you get.
9
Answer:
The slope-intercept form of the line equation is:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
Given the points
Determining the slope between (-1, -2) and (3, 4)




Thus, the slope of the line is:
m = 3/2
substituting m = 3/2 and the point (3, 4) in the slope-intercept form of the line equation
y = mx+b

switch sides


subtract 9/2 from both sides


now substituting m = 3/2 and b = -1/2 in the slope-intercept form of the line equation



Therefore, the slope-intercept form of the line equation is: