Question

A 40-year-old man in the U.S. has a 0.243% risk of dying

during the next year . An insurance company charges
$250.00 per year for a life-insurance policy that pays a
$100,000.00 death benefit.
What is the expected value for the person buying the
insurance?
The expected value for the person buying the
insruance is_________
for the vear.

Answer 1

Step-by-step explanation:

At a height of

4.5

4.5 meters the rock's kinetic energy twice its potential energy.

Step-by-step explanation:

The formula for Kinetic Energy is

�

�

=

1

2

�

�

2

E

K

=

2

1

mv

2

The formula for Potential Energy is

�

�

=

�

�

ℎ

E

P

=mgh

The Conservation of Energy states the Initial Potential Energy plus the Initial Kinetic Energy is equal to the Final Potential Energy plus the Final Kinetic Energy. It can be written as

1

2

�

�

2

=

�

�

ℎ

2

1

mv

2

=mgh

or

1

2

�

�

�

2

+

�

�

ℎ

�

=

1

2

�

�

�

2

+

�

�

ℎ

�

2

1

mv

i

2

+mgh

i

=

2

1

mv

f

2

+mgh

f

Note that

�

m is the mass of the object

�

v is the velocity of the object

�

g is the acceleration due to gravity

ℎ

h is the height

In this example we are given the values of the mass, gravity, and height.

�

=

6

�

=

9.81

ℎ

=

9

m=6

g=9.81

h=9

Lets evaluate the Potential Energy.

We can use the formula

�

�

=

�

�

ℎ

E

P

=mgh to evaluate.

Substituting our values into the equation yields.

�

�

=

6

∗

9.81

∗

9

�

�

=

529.74

E

P

=6∗9.81∗9

E

P

=529.74

We can use the first formula for the Conservation of Energy to evaluate the velocity.

1

2

�

�

2

=

�

�

ℎ

2

1

mv

2

=mgh

Lets solve for

�

v .

Cancel the common factor of

�

m .

1

2

�

2

=

�

ℎ

2

1

v

2

=gh

On the left side move

�

2

v

2

into the numerator of the fraction.

�

2

2

=

�

ℎ

2

v

2

=gh

Multiply both sides by

2

2 .

�

2

=

2

�

ℎ

v

2

=2gh

Take the square root of both sides to eliminate the exponent.

�

=

2

�

ℎ

v=

2gh

Substituting our values into the equation for