Answer:


Step-by-step explanation:
Given
Let x represent years and V represents the value.
So, we have:


Solving (a): The linear function
First, we calculate the slope (m)

This gives:



The linear function is calculated using:

Where:


So, we have:

Open bracket


Make v the subject


So, the function is:

Solving (b): When x = 8
Substitute 8 for x in 



Take LCM




<em>Hence, its value after 8 years is 1313.3</em>
B) 7 would make it true, since both 42/54 and 7/9= 0.77 repeating
9514 1404 393
Answer:
Step-by-step explanation:
The total number of students (32) corresponds to the total number of ratio units (3+5 = 8), so each ratio unit represents 32/8 = 4 students.
The 3 ratio units representing boys will stand for 3×4 = 12 boys.
The 5 ratio units representing girls will stand for 5×4 = 20 girls.
There are 12 boys and 20 girls in Janice's classroom.
_____
<em>Additional comment</em>
I find the above solution to be the easiest.
You can also write a system of equations. Let b and g represent the numbers of boys and girls, respectively.
b/g = 3/5
b +g = 32
Multiplying the first equation by g gives an expression for b that can be substituted into the second equation:
b = (3/5)g
(3/5)g +g = 32
8/5g = 32 . . . . . . . . . . . . . . . . . collect terms
g = (5/8)(32) = 5·4 = 20 . . . . . . multiply by 5/8
b = (3/5)(20) = 3·4 = 12 . . . . . . . find b using the value of g
Answer:
5,580
Step-by-step explanation:
Rectangle: 36x30x60=6480
Triangle: 1/2x15x20x6=900
6480-900=5,580
Sample mean : \overline{x}=10.6x=10.6
Standard deviation : s=1.7s=1.7
Significance level : \alpha:1-0.95=0.05α:1−0.95=0.05
Critical value : z_{\alpha/2}=1.96
Hence the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= (10.1989,\ 11.0011)(10.1989, 11.0011)