Answer:
Step-by-step explanation:
Let initial number of plants =100
Increase I year 60
Number after 1 year 160
Increase IIyear 60% 96
Number after II year 256
Increase in III year 60% 153.6
and so on
In general if t is number of years and N number of plants after n years
the expression would be
In other words, the expressions wouldbe the same as amount after t years of compound interest.
Answer:
The linear regression equation that represents the set of data is:
The predicted number of new cases for 2013 is 1368.
Step-by-step explanation:
The general form of a linear regression is:
Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>a</em> = intercept
<em>b</em> = slope
Compute the values of <em>a</em> and <em>b</em> as follows:
The linear regression equation that represents the set of data is:
Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:
Thus, the predicted number of new cases for 2013 is 1368.
Answer:
36 pieces of ribbon
Step-by-step explanation:
When Audrey cuts the ribbon into pieces that are each 1/3 yards long, she has 18 pieces (1/3 * 18 is 6, or the other way to think about it would be, 6 / (1/3) = 18). If she were to cut each of the pieces in half one more time, she would have 18 * 2 or 36 pieces of ribbon
In similar triangles the ratio of the corresponding sides is equal.
Therefore in this case; the two triangles are similar;
hence;
5 in/ 15 in = 8 in / x
Where x is the unknown side
x= (8 × 15)/5
= 120/5
= 24 in
Therefore, the value of x is 24 inches