Distance = speed x time
time = distance/speed
= 340/85
= 4h
Answer: the value of her investment after 4 years is £8934.3
Step-by-step explanation:
The formula for determining compound interest is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount invested.
t represents the duration of the investment in years.
From the information given,
P = 8000
r = 2.8% = 2.8/100 = 0.028
n = 1 because it was compounded once in a year.
t = 4 years
Therefore,
A = 8000(1+0.028/1)^1 × 4
A = 8000(1+0.028)^4
A = 8000(1.028)^4
A = £8934.3 to the the nearest penny
Answer: 0.99822
Step-by-step explanation:
Our inter-arrival time follows Poisson distribution with parameter 14 which is in hour so first we have to calculate this in minutes as we have to calculate probability in minutes.
So converting 14 into minutes will give
=0.233
Let X=inter-arrival time between two customers
and here
= 0.233
Probability(X is less than or equal to 2 minutes) = P(X=0) + P(X=1) + P(X=2)
Now the Poisson distribution has PDF =
So P(X = 0) =
= 0.79215
P(X= 1) =
= 0.18457
P(X=2) =
= 0.02150
Now adding all three probability gives = 0.79215 +0.18457 + 0.02150=0.99822
Answer:
the answer is gonna be d
Step-by-step explanation:
Answer:
Distance = 8.6
M = (-13.5,27.5)
Step-by-step explanation:
Distance = 
= 
= 
= 
= 
= 
= 8.6
Midpoint = 
= (-10+(-17)) ÷ 2 ; (30+25) ÷ 2
= -27 ÷2 ; 55 ÷ 2
= -13.5, 27.5