Answer:
V ≈ 527.79
Step-by-step explanation:
Formula is V= πr2h
therefore
V = π * 4 * 2 * 10.5
V = π * 8 * 10.5
V ≈ 527.79
Answer:
0.75
Step-by-step explanation:
Answer:
The amount $15000 is divided as
in 2% = $7000
in 5% = $8000
Step-by-step explanation:
It is given that the total amount is $15000 and rates of interests are 2% and 5%.
<em>Let the amount invested in 2% be "x", so the amount invested in 5% is (15000 - x).</em>
The annual interest on x part is given as,
= 
Similarly, The annual interest on (15000 - x) part is given as,
= 
the total annual interest is given as $540
Thus, <em>540 = 
</em>
<em>54000 = 
</em>
<em>21000 = 3(x)</em>
x = 
= 7000
Thus the shares are $7000 and (15000 - 7000) $8000 .
Let the length be x and the width be w
The perimeter will be:
2x+3w=1500
thus
3w=(1500-2x)
w=(1500-2x)/3
w=500-2/3x
The area will be:
A=x*w
A=x(500-2/3x)
A=500x-(2/3)x²
The above is a quadratic equation; thus finding the axis of symmetry we will evaluate for the value of x that will give us maximum area.
Axis of symmetry:
x=-b/(2a)
from our equation:
a=(-2/3) and b=500
thus
x=-500/[2(-2/3)]
x=375
the length will be 375 m
The width will be 250 m
The professional runner can run 4 1/6 miles in 30 minutes.
Since the professional can run 1 1/4 times as far in 30 minutes, we multiply 3 1/3 by 1 1/4:
(3 1/3)(1 1/4)
Convert each to an improper fraction (multiply the whole number by the denominator and add the numerator):
10/3(5/4) = 50/12 = 25/6 = 4 1/6.
