Answer:
The y-intercept of the line is the point (0,-41)
Step-by-step explanation:
we have the points
(-36,-117),(-27,-98) and (-18,-79)
step 1
Find the slope of the linear equation
The formula to calculate the slope between two points is equal to
take the points
(-27,-98) and (-18,-79)
substitute the values
step 2
Find the equation of the line in point slope form

we have

substitute
----> equation in point slope form
step 3
Convert the equation in slope intercept form

where
m is the slope
b is the y-coordinate of the y-intercept
isolate the variable y




therefore

The y-intercept of the line is the point (0,-41)
Working out the expression 7(3ˣ) is first to calculate the value of 3ˣ then multiply the answer to 7.
For example, let x = 2
Then 7(3ˣ) = 7(3²) = 7 × 9 = 63
With the same value of x = 2, calculating 21ˣ = 21² = 441, which isn't the same answer with the expression 7(3ˣ)
Answer:
0.5025%
Step-by-step explanation:
The question is on increase and decrease
The old interest rate= .5%⇒0.5%
percentage increase= 1/2%= 0.5%
New rate= it requires you to increase 0.5 by 0.5%
New rate is ⇒100%+ 0.5%=100.5%
New rate⇒(100.5/100)×0.5 =0.5025
New rate as a decimal is 0.5025%