Answer:
$900
Step-by-step explanation:
If she holds $500 and she is charged 15%; it means
The interest she pays per month is ;
$500 × 15/100 = $75
Then annually meaning for 12 months, she pays;
$75 × 12 = $900
The figure is a trapezoid.
Thank You :)
11/2 + 3/4 = 22/4 + 3/4 = 25/4
(25/4) / (1/8) = 25/4 * 8/1 = 200/4 = 50 students
Numbers are x and y
x is 5 more than y
x=5+y
product is -3
xy=-3
solve
sub 5+y for x since x=5+y
(5+y)y=-3
5y+y^2=-3
add 3 to both sides
y^2+5y+3=0
use quadratic formula where
ay^2+by+c=0
y=
a=1
b=5
c=3
y=
y=
y=
y=
or
the second number is 5 more or 10/2 more
add 10/2 to each
x=
or
the numbers are
and
or
and
aprox
the numbers are
-0.697224 and 5.967224 or
-4.302775 and 0.697224
a. In order for to be a PDF, needs to be non-negative (it is) and the integral over its support must evaluate to 1. is symmetric about , i.e. even, so
and so is indeed a PDF.
b. Let be a random variable with as its PDF. Then
The integrand is odd, so the integral vanishes and the mean is .
The variance of is
The second moment is
This integrand is even, so
Integrate by parts, taking
so that
Integrate by parts again, this time with
and so the variance is .