P=2(l)+2(w)
90=2(4w-5)+2(w)
90= (8w-10)+2w
90=10w-10
10+90=10w-10+10
100=10w
w=10
90=2(4[10]-5)+2(10)
90=2(40-5)+2(10)
90=2(35)+20
90=70+20
90=90
9514 1404 393
Answer:
$3144
Step-by-step explanation:
The tax due on $60,000 is ...
$60,000 × 5.4% - $96 = $3144 . . . tax due
_____
The detailed calculation is described at brainly.com/question/23711444. The only difference is the value used in the highest bracket, $60,000 instead of $50,000. This adds $540 to the tax that would be due for $50,000.
To complete the square:
we take the coefficient ox "x" (which in this problem is -20)
we divide it by 2
square that number
then add it to both sides of the equation
-20 / 2 = -10
-10^2 = 100
then we add 100 to both sides of the equation:
x^2 -20x
x^2 -20x +100 = 100
******************************************************
To get the roots of the equation, we take the square root of both sides:
(x -10) * (x-10) = 10
(x-10) = square root (10)
x-10 =
<span>
<span>
<span>
3.1622776602
</span>
</span>
</span>
x1 =
<span>
<span>
<span>
13.1622776602
</span>
and don't forget that square root of 10 also equals </span></span><span><span><span> -3.1622776602
</span>
</span>
</span>
x2 = 10
-<span>
<span>
<span>
3.1622776602
x2 = </span></span></span>
<span>
<span>
<span>
6.8377223398
</span>
</span>
</span>
An exponential equation can be written from its description using the form
... y = (reference value)·((later value)/(reference value))^((t - (reference time))/(later time - reference time))
Here, we have
... reference value = 220; reference time = 2; later value = 880; later time = 4
so we can write the exponential equation as
... y = 220·(880/220)^((t-2)/(4-2)) = 220·4^(t/2 -1) = 55·2^t
Then for t=10, the expected number is
... y = 55·2^10 = 56,320
