4,000×((1+0.05)^(15)−1)÷0.05
=86,314.25
86,314.25−86,314.25×0.15
=73,367.11
Answer:
B. Left 5 units and down 3 units
Is the x2 supposed to be squared?
So based on the given figure above, this is how we are going to find for the value of x. Given the values above, we can see that <span>m<AOC serves as the total value of the other angles. So,
</span>m<AOC = M<AOB + <span>m<BOC
Now plug in the given values.
</span>8x + 8 = (4x - 1) + (<span> 2x + 15)
8x + 8 =6x + 14
8x-6x = 14-8
2x = 6 <<divide both sides by 2 and the result is
x = 3
Therefore, the value of x is 3. Hope this answer helps. Let me know if you need more help next time.</span>
Length=x
width=y
Perimeter of a rectangle=2(length)+2(width)
Therefore:
2x+2y=200
We simplify the equation dividend both sides of this equation by 2:
x+y=100
Then:
y=100-x
Area of a rectangle: length x width
We have the next inequation:
x(100-x)<900
100x-x²<900
x²-100x+900<0
We solve this inequation
1) we solve this equation:
x²-100x+900=0
x=[100⁺₋√(10000-3600)]/2=(100⁺₋80)/2
We have two solutions in this equation:
x₁=90
x₂=10
2)With these values, we make intervals:
(-∞,10)
(10,90)
(90,∞)
3)With these intervals, we check it out if the inequation works:
(-∞,10); for example; if x=0 ⇒ 0²-100(0)+900=100>0, this interval don´t work.
(10,90);f.e: if x=11; ⇒ 11²-100(11)+900=-79<0, this interval works.
(90,∞); fe; if x=91 ⇒91²-(100)91+900=81>0; this interval don´t work.
answer: the possible lengths would be the values inside of this interval:
(10,90) ft.