The best and most correct answer among the choices provided by your question is the second choice or letter B "20".
The current area is 120(80)=9600 and he want to expand it by 4400 so that the new area will be 9600+4400=14000
14000=(120+x)(80+x)
14000=9600+200x+x^2
x^2+200x-4400=0
x^2-20x+220x-4400=0
x(x-20)+220(x-20)=0
(x+220)(x-20)=0, since x is an increase it must be greater than zero so
x=20ft
(120+20)(80+20)=14000ft^2
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
Answer:
3° and 87°
Step-by-step explanation:
<em>here's</em><em> your</em><em> </em><em>solution</em>
<em> </em><em>=</em><em>></em><em> </em> we know that measure of complementary angle is 90°
=>. one angle is. = x
=> other angle is .= (19x + 30)
=> so, x + 19x + 30° = 90°
=> 20x + 30° = 90°
=> 20x = 60°
=> x = 60/20
=> x = 3°
hence one angle is 3° and other is 87°
hope it helps
Answer:
845.6306
Step-by-step explanation:
Firstly this is annuity based
Let, investment at beginning of year = <em>x</em>
Then value at year 1 end = x + (8.2% 
x)
Value at end of year 2 = (x + 0.082x) + (8.2% (x + 0.082x))
Now this value = $990
Therefore,
990 = (x + 0.082x) + ((x + 0.082x) 8.2%)
990 = x + 0.082x + 0.082x + 0.006724x = 1.170724x
x = 990/1.170724 = 845.6306
Answer:
<h2>an+1 = 2×7ⁿ</h2>
Step-by-step explanation:
98÷14
=7
686÷98
=7
4 802÷686
=7
33 614÷4 802
=7
Then the common ratio q for this sequence is 7
recursive formula : an+1 = q×an = ?
an= a1 × qⁿ⁻¹
=2×7ⁿ⁻¹
an+1 = q×an
= 7×(2×7ⁿ⁻¹)
= 2×7ⁿ
Answer: No
Step-by-step explanation:
The distance hiked of Mark is represented by 2*t + 100
and the distance hiked of Zoe is represented by 2*t
here, you can see that the slope of both equations is equal, this means that in the same lapse of time, Zoe and Mark displace the same amount, but because Mark started earlier, he has a y-intercept bigger than zero, so for every value of t, the distance that Mark hiked will be higher than the one of Zoe.
We can represent this by:
2*t + 100 > 2*t
100 > 0
So the distance hiked by Mark is always bigger than the one of Zoe
