We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with 
, 
, 
, and 
respectively since each one is 1 point more than the last.
Add all of these values up and set it all equal to 
.
Now, simplify.
Subtract 
on both sides.
Divide both sides by 
.
Since Louise's score is , the answer is 
.
<h3>Double-checking</h3>
To verify our answer, add the point totals , 
, 
, and 
.
This equals , so we can be sure the answer is correct.
Answer: the company should invest $12191 each week
Step-by-step explanation:
The amount that the company needs is $5,400,000
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the weekly payments.
a represents the amount that the company needs
r represents the rate.
n represents number of weekly payments. Therefore
a = 5,400000
There are 52 weeks in a year
r = 0.079/52 = 0.0015
n = 52 × 14 = 728
Therefore,
P = 5400000/[{(1+0.0015)^728]-1}/{0.0015(1+0.0015)^728}]
5400000/[{(1.0015)^728]-1}/{0.0015(1.0015)^728}]
P = 5400000/{2.98 -1}/[0.0015(2.98)]
P = 5400000/(1.98/0.00447)
P = 5400000/442.95
P = $12191
The graph of a function is the set of all those point which when placed on a graph represents the data in unorganised manner.
In order to describe the function of a graph the first thing that we do is to stabilize a relationship between the co-ordinate axes.
We closely observe and analyse the change of one Axis with the changes of other. After this step we make a set of all the possible points which are describing the function properly within the range and domain of the function. One Axis represents the domain and the other access represents the range.
After this we finally conclude that the function of a graph is set of all those points which represents and shows the data on a diagram in a well organized and understandable manner.
To know more about graph of function, visit,
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<em>(2a - 3x - 3y)(2a + 3x + 3y)</em>
- Step-by-step explanation:
<em>Hi there !</em>
use formula
<em>a</em><em>² - </em><em>b</em><em>² = (a - b)(a + b)</em>
<em>a</em><em> = 2a</em>
<em>b</em><em> = 3(x + y)</em>
<em />
<em>4a² - 9(x+y)² =</em>
<em>= [2a - 3(x + y)][2a + 3(x + y)]</em>
<em>= (2a - 3x - 3y)(2a + 3x + 3y)</em>
<em />
<em>Good luck !</em>
Answer:
C. 7.8
Step-by-step explanation:
This problem involves the use of a trigonometric ratio. This one specifically involves the use of cosine as it provides the leg adjacent to the angle and the hypotenuse.
cos(40) = 6/x
cos(40)*x=6/x*x
cos(40)*x=6
cos(40)/cos(40)*x=6/cos(40)
x=6/cos(40)
x=7.83
The value of x is C. 7.8
