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I have 0 idea but I need help with some questions that I have
Based on the model, the total amount of money in the joined account after the 5 weeks is $767.30
<h3>What are linear equations</h3>
Linear equations are equations that have constant rates
A linear equation is represented as:
y = mx+ b
In this case,
- m represents the deposit per week
- b represents the initial deposit
So, the linear equations are:
- y =153.46x --- for Monica
- y = 128.90+ 127.68x -- For Lauren
To calculate the number of weeks, when they have the same amount, we equate both equations
Collect like terms
Solve for x
Substitute 5 for x in
Hence, it will take 5 weeks for both accounts to have the same amount of $767.30
Read more about linear equations at:
brainly.com/question/14323743
-5x + 3x > 22
-2x > 22
x < 22/-2 (greater than sign changes to less than sign when you divide with negative number)
x < -11
A. Equation of line l: y = mx + 20 where m = y' = 1- (1/250)x
At the point Q, The equation of the line equals the equation of the parabola.
So (1-x/250)x + 20 = x - x^2/500
20 = x^2/250 - x^2/500 = x^2/500
x = sqrt(20*500) = 100ft
B. m = 1 - 100/250 = 3/5.
<span>Equation of line L is y = 3/5x + 20
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C) If a spotlight is located at the x intercept of line L (-33 1/3,0), its light will go only above line L past the point where line L is tangent to the hill at (100,80) because the hill blocks the light below the tangent line.
<span>The highest point on the equation of y = x - x²/500 is at (250,125), so a tree 50 feet tall at that location would reach up to (250,175). The tangent line goes through (250,170), so the top 5 feet of the tree would be above the tangent line, in the glow of the spotlight.
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