Question:
A population of insects, in thousands, can be modeled using the function
, where t is time in months. Which statement best
describes the population of insects?
A. The population is decaying at a rate of 3% each month.
B. The population is decaying at a rate of 25% each month.
C. The population is growing at a rate of 75% each month.
D. The population is growing at a rate of 97% each month.
Answer:
A. The population is decaying at a rate of 3% each month.
Step-by-step explanation:
Given
Required
True statement about the function
From the options, we can see that we are to answer the question on the basis of decay and growing rates.
An exponential form is:
Compare to
If 
, then 
r represents growth rate
else, 
r represents decay rate
Since b < 0.97:
You just divide the 3.60 by the eight and then you get 45 cents for each box.
Answer:
Step-by-step explanation:
Please find the attachment.
We have been given that a container is shaped like a triangle prism. Each base of container is an equilateral triangle with each side 6 cm. The height of container is 15 cm.
To find the lateral surface area of our given container we will use lateral surface area formula of triangular prism.
, where, a, b and c represent base sides of prism and h represents height of the prism.
Upon substituting our given values in above formula we will get,
Therefore, lateral surface area of our given container is 270 square cm.
Answer:
And replacing we got:
And we can calculate this probabilit using the normal standard distribution or excel and we got:
Step-by-step explanation:
If we define the random variable of interest "the amount spent by a family of four of food per month" and we know the following parameter:
And we want to find the following probability:
And we can use the z score formula given by:
And replacing we got:
And we can calculate this probabilit using the normal standard distribution or excel and we got:
Answer:
6/5 or 1 1/5
Step-by-step explanation:
2/5 + 2/5 + 2/5 = 6/5 or 1 1/5
This is the same as multiplying 3 x 2/5 = 6/5 or 1 1/5
