A suspension bridge with weight uniformly distributed along its length has twin towers that extend 75 meters above the road surface and are 400 meters apart. The cables are parabolic in shape and are suspended from the tops of the towers. The cables touch the road surface at the center of the bridge. Find the height of the cables at a point 100 meters from the center.

Let take the center of bridge as our origin (0,0). Parabola having vertex at origin is represented by y=a.x^2

At the right far end or +ive x-axis side we've x=200 and y=75 , so a=75/(200^2)=0.001875

Y

Parabola equation y=0.001875*x^2

Height of cable from 100m from centre. Y=? ,X=100m

Y=0.001875*(100^2)

Y=18.75 m

Height of ropes at 100m from the center of bridge.

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the answer is a

step-by-step explanation:

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt