\begin{aligned}Payment=183000\\ \cos t=4200000\cdot 0,75\% =3150000=c\\ Payment=C\dfrac {\left( 1+i\right) ^{n}\cdot i}{\left( 1+i\right) ^{n}-1}\\ n=25years\times \dfrac {12manths}{1year}=300months\\ 18300=3150000\cdot \dfrac {\left( 1+i\right) ^{300}\cdot i}{\left( 1+i\right) ^{300}\cdot i}\\ i=0,0041\\ i is the monhly interest_{i}\\ i\times 12months=APR\\ APR=0,0123=1,23%\end{aligned}
Y^2+4y=-8
add 8 both sides
y^2+4y+8=0 in the form of ax²+bx+c=0
Factor it
by formula
-b+-(√b²-4ac)/2a
-4+-(√16-32)/2*1
-4+-(√-16)/2
-4+-4i/2
-2+-2i where√-1=i
Answer:
y₀.₉₅ = 3659
Step-by-step explanation:
P( no accident ) = 0.8
P( one accident ) = 0
deductible = 500
mean = 3000
<u>Determine the 95th percentile of the insurance company payout </u>
Assuming : y =company payout , x =amount of loss incurred due to accident
Then :
P( x < 500 ) = 0.2 ( 1 - e^-500/3000)
= 0.2 ( 1 - e^-1/6 )
95th percentile =
= P( y < y₀.₉₅ ) 0.95
P( y = 0 ) = 0.8 + 0.2 ( 1 - e^-1/6 ) = 0.8307
attached below is the remainder of the solution