<span>Answer:
We'll have to integrate the growth rate with respect to time, without forgetting the amount of area covered at the start.
A = 2010 + â« 8t1/2 dt (as t goes from 0 to 24)
A = 2010 + [(16/3) t3/2] (as t goes from 0 to 24)
A = 2010 + 627 = 2637 acres
We don't integrate the 2010 here because whatever effects of the passing of time have already taken place over that area. We just treat it as a constant and add it to the result of integration.</span>
Answer:
After 10 years, she will has $96 in her bank.
Step-by-step explanation:
It is given that Andrea's saving account is $80 and earns 2% interest per year as a <em>S</em><em>i</em><em>m</em><em>p</em><em>l</em><em>e</em><em> </em><em>I</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em><em> </em>(Not Compounded). Using simple interest formula, Interest = (P×R×T)/100 where <em>P</em> is the <em>principal</em>, <em>R</em> is the <em>interest rate</em> and <em>T</em> is <em>number of years</em><em> </em>:
P = $80
R = 2%
T = 10 years
It is given that the interest amount is $16. So the total amount she has after 10 years in the bank is $96 :
interest amount = $16
principal = $80
total = $16 + $80
= $96
For this case we have the following equation:
y = x2-4x + 3
Deriving we have the following equation:
y '= 2x-4
We equal zero and clear x:
2x-4 = 0
x = 4/2
x = 2
Substituting in the given equation we have:
y = (2) ^ 2-4 (2) +3
y = 4-8 + 3
y = -1
The vertex will be the ordered pair:
(x, y) = (2, -1)
Answer:
(x, y) = (2, -1)
option B
Answer:
1/2
Step-by-step explanation:
-2y= 8-X
y= -4+X/2
y= X/2-4
recall that: y= mx+c
in the equation y= x/2+C
m=1/2
where m is your slope
Let the number of rows be x
rows = x
seats in each row = x + 20
total seats = 1344
x (x + 20) = 1344
x^2 + 20x - 1344 = 0
(x + 48)(x - 28) = 0
x = -48 (rejected, answer cannot be negative) or x = 28
Therefore,
x = 28
x + 20 = 48
Check:
Row = 28
Numbers of seat per row = 28 + 20 = 48
28 x 48 = 1344 (Correct)
Ans:There are 48 seats per row
