Answer:
$100
Step-by-step explanation:
Every week Amanda adds $5 and every week Julia adds $14. So all you have ti do is add $5 to Amanda's account and $14 to Julia's account until you have the same amount of money for the both of them.
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For this case we have the following functions:
f (x) = 36 + 4x
g (x) = x2 + 15
By matching both functions we have:
f (x) = g (x)
36 + 4x = x2 + 15
Rewriting we have:
x2 + 15 - 4x - 36 = 0
x2 - 4x - 21 = 0
Solving the polynomial we have:
(x-7) (x + 3) = 0
x = -3
x = 7
Taking the positive root we have:
x = 7
Answer:
They will have the same amount of money saved after:
x = 7 weeks
Answer:
y = 2x - 7
Step-by-step explanation:
To find the line equation we assume that its form is y = m*x + b. Where m is the slope and b is the independent variable that intercepts the Y axis.
If we have two points as P1=(x1,y1) and P2=(x2,y2) we can use the slope formula as:
m = (y2-y1)/(x2-x1)
The points given are P1=(7,7) and P2=(2,-3), then the using the slope formula we obtain:
m = (-3-7)/(2-7)
m = (-10)/(-5)
m = 2
By now the equation is y = 2x + b. To find the value of b we have to replace in the equation any point, in this case i am using P2:
-3 = 2*(2) + b
-3 = 4 + b
-3 -4 = b
-7 = b
Therefore the equation of the line is:
y = 2x - 7
