Answer: it will take 13.3 years
Step-by-step explanation:
We would apply the formula for determining compound interest which 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 deposited
From the information given,
P = 6000
A = 10000
r = 4% = 4/100 = 0.04
n = 12 because it was compounded 12 times in a year.
Therefore,.
10000 = 6000(1 + 0.04/12)^12 × t
10000/6000(1 + 0.0033)^12t
1.67 = 1.0033^12t
Taking log to base 10 of both sides, it becomes
Log 1.67 = 12tLog 1.0033
0.223 = 12t × 0.0014
0.223 = 0.0168t
t = 0.223/0.0168
t = 13.3 years
Answer:
the easy way is to take notes and study them before a test
Step-by-step explanation:
i took this lesson a few weeks ago
Answer:
The probability that five cars will arrive during the next thirty minute interval is 0.0127.
Step-by-step explanation:
Let <em>X</em> = number of cars arriving at Sami Schmitt's Scrub and Shine Car Wash.
The average number of cars arriving in 20 minutes is, 8.
The average number of cars arriving in 1 minute is,
.
The average number of cars arriving in 30 minutes is,
.
The random variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 12.
The probability mass function of <em>X</em> is:

Compute the probability that 5 cars will arrive in 30 minutes as follows:



Thus, the probability that five cars will arrive during the next thirty minute interval is 0.0127.
So, (3√5)^2
So, 3√5(3√5)
3*3 is 9
and √5*√5 is 5
9*5 is 45.
3D + 12
3(D) + 3(4)
3(D + 4)