A population of 1,500 insects grows exponentially by a factor of 3 every week. Select all equations that represent or approximate the population, p. as a function of time in days. t, since the population was 1,500.

FV(p)= PV*(1 + g)^t

Step-by-step explanation:

Giving the following information:

Number of insects (PV)= 1,500

Increase rate= 3 weekly

First, we need to calculate the daily growth rate:

Daily rate (g)= [3^(1/7)] - 1

Daily rate (g)= 0.16993

Now, by using the following formula, we can determine the population p in any given day t:

FV(p)= PV*(1 + g)^t

For, example after 7 days:

FV(p)= 1,500*(1.16993^7)

FV(p)= 4,500

For example, after 10 days:

FV(p)= 1,500*(1.16993^10)

FV(p)= 7,206

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

1. minimum

2. 6400

3. eight

hope this !