Answer: sally initially has $240, Tom initially has $180.
Step-by-step explanation:
Let initial amount of money sally has = x
Then, initial amount tom has = 75% * x = 0.75x
Now to present,
Amount sally has = x -120
Amount tom has = [x - 120] + [50% * (x-120)]
= x - 120 + 0.5x - 180
= 1.5x - 180
Since Tom didn't spend, it means this is the same amount tom has then we equate both equations.
0.75x = 1.5x - 180
180 = 0.75x
x = 240
Therefore, initial money of sally of sally = $240
Initial money of tom = 240 * 0.75 = $180.
4 to the 1st is 4
4 to the 2nd is 16
4 to the 3rd is 64
<span>4 to the 4th is 256</span>
Polynomials in the fourth degree are called quartic equations. In solving the roots of polynomials, there are techniques available. For quadratic equations, you use the quadratic formula. For cubic equations, you use the scientific calculator. But for quartic equations and higher, it is very complex. The method is very lengthy and can get very messy because you introduce a lot variables. So, I suggest you do the easiest method to estimate the roots.
Graph the equation by plotting arbitrary points. The graph looks like that in the figure. The points at which the curve passes the x-axis are the solution which are encircled in red.In approximation, the rational roots or zero's are
-3.73, -1, -0.28 and 2.
This one is easy if u look at the pattern u would see it would be 4
Answer:
- <u>$45</u> (with the assumption made below)
Step-by-step explanation:
The equation is garbled; thus, to explain you I will assume the equation is
Where:
- R(s) is the revenue in dollars, as a function of the number of seats occupied.
- s is the variable that represents the number of seast occupied
- 14 is the rate of change of the revenue per seat occupied (the price of a ticket).
- -325 is the fixed cost of the theater for a performance (the amount of money the theater will lose if none seat is occupied).
Thus, you can predict the revenue when 70 seats are occupied by substituting s with 70.
- R(70) = -325 + 980 = $655
The <em>residual value</em> from a prediction is equal to the real value (observed value) less the preducted value:
- Residual = real revenue - predicted revenue
- Residual = $700 - $655 = $45