The total cost when 881 minutes is used is $477.50.
<h3>What are the equation that model the question?</h3>
a + 480b = 277 equation 1
a + 990b = 532 equation 2
Where:
- a = flat fee
- b = variable fee
<h3>What is the flat fee and the variable fee?</h3>
Subtract equation 1 from equation 2
510b = 255
b = 255 / 510
b = $0.50
In order to determine the flat fee, substitute for b in equation 1
a + 480(0.5) = 277
a + 240 = 277
a = 277 - 240
a = $37
<h3>What is the total cost when 881 minutes is used?</h3>
Total cost = flat fee + (variable cost x number of minutes spoken)
$37 + (881 x 0.5) = $477.50
To learn more about simultaneous equations, please check: brainly.com/question/25875552
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Answer:
Step-by-step explanation:
Solve Using the Quadratic Formula
4x^2 + 8x − 5 = 0
Use the quadratic formula to find the solutions.
−b ± √b^2 − 4 (ac)
-------------------------
2a
Substitute the values a = 4, b = 8, and c = −5 into the quadratic formula and solve for x.
−8 ± √82 − 4 ⋅ (4 ⋅ −5)
-------------------------
2 ⋅ 4
Simplify the numerator.
Raise 8 to the p ower of 2.
−8 ± √64 − 4 ⋅ 4 ⋅ −5
x= ---------------------------
2 ⋅ 4
Multiply −4 by 4.
−8 ± √64 − 16 ⋅ −5
x = -------------------------
2 ⋅ 4
Multiply −16 by −5.
−8 ± √64 + 80
x = -------------------
2 ⋅ 4
Add 64 and 80.
−8 ± √144
x = --------------
2 ⋅ 4
Rewrite 144 as 12^2.
−8 ± √122
x = ------------
2 ⋅ 4
Pull terms out from under the radical, assuming positive real numbers.
multiply 2 by 4
−8 ± 12
x= ------------
8
simplify
−2 ± 3
x= ---------
2
The final answer is the combination of both solutions.
x= 1/2, -5/2
Hope this helped!
Answer:
0.1091 or 10.91%
Step-by-step explanation:
We have been given that a particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls involve fax messages and consider a sample of 20 calls. We are asked to find the probability that exactly 6 of the calls involve a fax message.
We will use Bernoulli's trials to solve our given problem.
Therefore, the probability that exactly 6 of the calls involve a fax message would be approximately 0.1091 or 10.91%.
Answer:
12.5cm
Step-by-step explanation:
the figure appears to be a circle centered around point B, wherein segment CB is a radiai and segment DF is a diameter.
radiai(radius plural) are known to be 1/2 the length of diameters
(1/2) × 25 = 12.5
Answer:
r=-11
Step-by-step explanation:
7r+2=5(r-4)
7r+2=5r-20
2r=-22
r=-11