Answer:
Step-by-step explanation:
we have
This is the equation of the line in point slope form
where
The slope is m=1
The point is (4,8)
Convert to slope intercept form
Isolate the variable y
Adds 8 both sides
Combine like terms
Convert to function notation
Step-by-step explanation:
the formula for the sum of the first n terms of a geometric sequence is
Sn = s1(1 - r^n)/(1 - r)
with r being the common ratio and s1 is the first term.
so,
S15 = 7×(1 - (-3)¹⁵)/(1 - -3) = 7×(1 - -14,348,907)/4 =
= 7×14,348,908/4 = 7×3,587,227 = 25,110,589
Answer:
Step-by-step explanation:
This scenario can be modeled using an exponential growth equation.
The exponential growth equations have the following form:
Where P is the population in year t
p is the initial population at t = 0
r is the growth rate
t is the time in years.
In this case we know that the current population is 13,000 and that the growth rate is 11%
So
The equation that models this scenario is:
The value of k should be 2.
if you plug the y value of the point in the equation for y and do the same with x you should be able to get this answer after fallowing the order of operation.
To find the surface area of the entire sculpture, you need to add up the surface area of each part of the sculpture. Overall, you see two triangles connected by two rectangles at the top, and the half of a cylinder at the bottom.
To find the area of one of the two triangles, you use the equation A = (1/2)bh, where b = the base of the triangle and h = the height. So, the area of one triangle is:
