Answer:
The cost is;
$18.43
Step-by-step explanation:
The general model for a linear equation is;
y = mx + b
let y be the monthly cost in dollars
x is the number of minutes
b will represent the base cost
m is the cost of the call per minute
so let us get m and b
Thus, we have;
18.25 = 31m + b
19.42 = 44m + b
Subtract i from ii
(19.42-18.25) = (44-31)m
1.17 = 13m
m = 1.17/13 = 0.09
To get b, we substitute the value of m in any of the equation
18.25 = 31 m + b
18.25 = 31(0.09) + b
b = 18.25 - 2.79
b = 15.46
so, the equation of the line is;
y = 0.09x + 15.46
Now to get the cost for 33 minutes
simply substitute the value of 33 for x
we have this as;
y = 0.09(33) + 15.46
y = $18.43
Answer:
40 N
Step-by-step explanation:
To know which bag is cheaper, you have to compare both package price as cost per kilograms of sugar. Then we can find how much we can save by finding the difference between the two values
The 500g sugar package cost is N195. Every kg is equal to 1000g, so the price will be: 195N/ (500g*1kg/1000g)= 390 N/kg
The 25kg sugar package cost is N8750. so the price will be: 8750N/25kg= 350 N/kg
The amount you save per kg if you buy 25kg package instead of 500g will be: 390 N/kg - 350N/kg = 40 N/kg
Answer:
253-17*3 = 253-51 = 202
Step-by-step explanation:
85+52-36 = 147-36 = 111
Notice that
11/12 = 1/6 + 3/4
so that
tan(11π/12) = tan(π/6 + 3π/4)
Then recalling that
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
cos(x + y) = cos(x) cos(y) - sin(x) sin(y)
⇒ tan(x + y) = (tan(x) + tan(y))/(1 - tan(x) tan(y))
it follows that
tan(11π/12) = (tan(π/6) + tan(3π/4))/(1 - tan(π/6) tan(3π/4))
tan(11π/12) = (1/√3 - 1)/(1 + 1/√3)
tan(11π/12) = (1 - √3)/(√3 + 1)
tan(11π/12) = - (√3 - 1)²/((√3 + 1) (√3 - 1))
tan(11π/12) = - (4 - 2√3)/2
tan(11π/12) = - (2 - √3) … … … [A]
