Answer:
The probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.
Step-by-step explanation:
The random variable <em>X</em> is defined as the amount of time until the next student will arrive in the library parking lot at the university.
The random variable <em>X</em> follows an Exponential distribution with mean, <em>μ</em> = 4 minutes.
The probability density function of <em>X</em> is:
The parameter of the exponential distribution is:
Compute the value of P (X > 10) as follows:
Thus, the probability that it will take more than 10 minutes for the next student to arrive at the library parking lot is 0.0821.
Answer:
$12159 per year.
Step-by-step explanation:
If I invest $x each year at the simple interest of 7.5%, then the first $x will grow for 35 years, the second $x will grow for 34 years and so on.
So, the total amount that will grow after 35 years by investing $x at the start of each year at the rate of 7.5% simple interest will be given by
= ![35x + \frac{x \times 7.5}{100} [35 + 34 + 33 + ......... + 1]](https://tex.z-dn.net/?f=35x%20%2B%20%5Cfrac%7Bx%20%5Ctimes%207.5%7D%7B100%7D%20%5B35%20%2B%2034%20%2B%2033%20%2B%20.........%20%2B%201%5D)
= ![35x + \frac{x \times 7.5}{100} [\frac{1}{2} (35) (35 + 1)]](https://tex.z-dn.net/?f=35x%20%2B%20%5Cfrac%7Bx%20%5Ctimes%207.5%7D%7B100%7D%20%5B%5Cfrac%7B1%7D%7B2%7D%20%2835%29%20%2835%20%2B%201%29%5D)
{Since sum of n natural numbers is given by 
}
= 35x + 47.25x
= 82.25x
Now, given that the final amount will be i million dollars = $1000000
So, 82.25x = 1000000
⇒ x = $12,158. 05 ≈ $12159
Therefore. I have to invest $12159 per year. (Answer)
Answer:
Step-by-step explanation:
The equation A = d(1.005)^12t modelling the value of Daniel’s investment shows a monthly compounded interest. This means that the interest is compounded 12 times in a year.
We can confirm by inputting the given values
t = 8 years
d = 509
Therefore,
A = 500(1.005)12 × 8
A = 500(1.005)^96
A = $807.07
Therefore, the true statements are
Increases
Exponential
Never Decrease
The formula for getting the accumulated amount(compounded) is;
A =P(1+r%)∧n
Where A = Acumulated amount
P = principle (deposit)
r = interest rate and
n = period
Since the interst is compounded quartly,
period = (5×4)-3 = 17
A = 7100(1+2.8/100)∧17
= 7100×1.028∧17
= 11,353.80
The money she will end up earning in interest on the cd = $11,353.80
Answer:
40,999
Step-by-step explanation:
95,234-35,295= 59,939 and then 59,939-19,240= 40,999
