Answer:
There are no real values of x for point P to belong to the 4 quadrant
Step-by-step explanation:
<u><em>The question in English is</em></u>
To what real values of x does the point P (3x -6, 2x +4) belong to the 4th quadrant?
we know that
A point in the fourth Quadrant has the x-coordinate positive and the y-coordinate negative
we have the point
P (3x-6, 2x+4)
----> inequality A ( x-coordinate must be positive)
---> inequality B ( y-coordinate must be negative)
Solve Inequality A
-----> (2,∞)
Solve Inequality B
----> (-∞,-2)
The solution of the system is
(-∞,-2) ∩ (2,∞)
therefore
The system has no solution
There are no real values of x for point P to belong to the 4 quadrant
Answer:
x=0.87 or 86.67%
13 prescription claims out of 15 are paid
Step-by-step explanation:
First we organize the data:
prescription claims submitted: 4500
Prescriptions: 3900
The rate of claims paid is calculated using the following formula:

We know that:
Paid = 3900
Total = 4500
So



x=0.87
Answer:
D. 161°
Step-by-step explanation:
m<2 is congruent to m<4, m<1 is congruent to m<3 by properties of a parallelogram
to find x:
4x-17=3x-8
x-17=-8
x=9
m<4=3(9)-8=19
so, m<4=19°
m<2 =19°
to find m<1:
the interior angles of a parallelogram add up to 360°
360-2(19)=2x
2x=360-38
2x=322
x=161°
m<1=161°
Answer:
0.701
Step-by-step explanation:
Probability is the ratio of favorable outcomes to the total number of outcomes. It provides incite to likelihood an event to occur. Probability is a ratio , so it has no unit. It is sometimes expressed in percentage.
probability that the student intends to attend classes full time in pursuit of an MBA degree = 352/502 = 0.7012.
Answer: The interest is: " $ 64 .00 " .
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Step-by-step explanation:
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Take note of the formula:
" Ⅰ = Prt " ;
→ that is:
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→ " Ⅰ = P * r * t " ;
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In which:
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" Ⅰ = the interest " ;
" P = the Principal amount of money " ;
" r = rate " (expressed as the "decimal form" of the percentage) ;
" t = time " (in years) ;
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We are given:
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P = $400 ;
r = 0.08 ;
{<u>Note of interest</u>: That is " 8% " ; since "8 % " = "(8/100)" ;
= "(8 ÷ 100)"
= " 0.08 ".}.
t = 2 ; {that would represent: " 2 (two) years".}.
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We are to solve for "Ⅰ" ; the amount of "Ⅰnterest" :
→ To solve for "Ⅰ " ; we plug in our given values; and calculate:
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→ Ⅰ = P * r * t ;
= 400 * 0.08 * 2 ;
= 64 .
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→ Ⅰ = $ 64.00 .
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Hope this is helpful to you!
Best wishes!
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