geno3141

You start with $12.00 and spend $4.00 to get in, leaving you with $8.00

You get 2 rides for each dollar; so you can have 16 rides.

RS ≅ TS

V is the midpoint of RT

RV ≅ VT

SV ≅SV

ΔRSV ≅ ΔTSV

Can you provide the reasons?

Can you be more specific?

Do you have some data so that we can make an estimate?

Because of the distance into the future (40 years), the estimate won't have much validity.

E = (h·c)/λ

2.93 x 10^-25  =  (6.626 x 10^-34 · 2.998 x 10^8) / λ

2.93 x 10^-25 · λ  =  (6.626 x 10^-34 · 2.998 x 10^8) 

λ  =   (6.626 x 10^-34 · 2.998 x 10^8) / ( 2.93 x 10^-25 )

λ   =  6.78 x 10^-1 m 

-4.4s - 2  =  -5.5s - 4.2

Add  5.5s  to both sides:

1.1s - 2  =  -4.2

Add  2  to both sides:

1.1s  =  -2.2

Divide both sides by 1.1:

s = -2

4x + 3  >  2x - 7

Subtract  2x  from both sides:

2x + 3 >  -7

Subtract  3  from both sides:

2x  >  -10

Divide both sides by 2:

x  >  -5

the angle that is vertical to the 3x° angle also has 3x°.

The 3x° and the angle (2x + 20)° are interior angles on the same side of the transversal; therefore they are supplementary.

This creates the equation:  3x° + (2x + 20)°  =  180°

Solve this equation for x.

This is the equation of a parabola. Since this parabola opens downward, the vertex will be the highest point. The t-value of the vertex is found by  -b/(2a).

a = -1    b = 8    c = -4

Use these to find the t-value.

Then place that value into the original expression and that answer will be the maximum possible value.

Try it; if you get stuck, post back.