Answer:
y - 14.95 = 18.075(x-1)
Step-by-step explanation:
If an internet company charges $14.95 per month and a setup fee, then we can say
1 month = $14.95
If the total cost for 9 months is $159.55
Then we can write both cases as a coordinate (1, 14.95) and (9,159.55)
The equation of a line in point slope form is expresses as
y-y0 = m(x-x0)
Find the slope m
m = 159.55-14.95/9-1
m = 144.6/8
m = 18.075
Substitute m = 18.075 and any of the coordinate in the equation to have;
Using the coordinate (1, 14.95)
y - 14.95 = 18.075(x-1)
Hence a linear equation in point-slope form that model the situation is y - 14.95 = 18.075(x-1)
Answer:
would multiply everything by the common denominator of 4
-3/4m - 1/2 = 2 + 1/4m....multiply everything by 4 and u get :
-3m - 2 = 8 + m
that will get rid of the fractions....but u could multiply by -4 ...giving u :
3m + 2 = -8 - m
Step-by-step explanation:
Answer:
15.0 units
Step-by-step explanation:
Here, we want to get the distance between the two points as follows;
CD = √(x2-x1)^2 + (y2-y1)^2
So we have;
CD = √(7+8)^2 + (-5+4)^2
CD = √225+ 1 =
CD = √(226
CD = 15.0 units
Answer:
0.75 mg
Step-by-step explanation:
From the question given above the following data were obtained:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Amount remaining (N) =.?
Next, we shall determine the number of half-lives that has elapse. This can be obtained as follow:
Half-life (t₁/₂) = 6 years
Time (t) = 6 years
Number of half-lives (n) =?
n = t / t₁/₂
n = 6/6
n = 1
Finally, we shall determine the amount of the sample remaining after 6 years (i.e 1 half-life) as follow:
Original amount (N₀) = 1.5 mg
Half-life (t₁/₂) = 6 years
Number of half-lives (n) = 1
Amount remaining (N) =.?
N = 1/2ⁿ × N₀
N = 1/2¹ × 1.5
N = 1/2 × 1.5
N = 0.5 × 1.5
N = 0.75 mg
Thus, 0.75 mg of the sample is remaining.
Answer:
2,900
Step-by-step explanation:
