Answer:
$7,925.53
Step-by-step explanation:
We'll have to use the compound interest formula: A = P(1 + r/n)ⁿˣ
A = final amount (?)
P = starting amount (5700)
r = rate
n = times applied (12 since its monthly and there 12 months in a year)
x = years (12)
A = 5700(1 + 0.0275/12)¹⁴⁴
A = 7925.525498629932
Answer: 0.6767
Step-by-step explanation:
Given : Mean =
errors per page
Let X be the number of errors in a particular page.
The formula to calculate the Poisson distribution is given by :_

Now, the probability that a randomly selected page does not need to be retyped is given by :-

Hence, the required probability :- 0.6767
After 4 years the rate would have happened 4 times making the initial deposit increase 10%. 10% of 25000 is 2500. So 25000 plus 2500 is $27500.
Answer:
The given series converges and 
Step-by-step explanation:
Given is 108, -18, 3,...
It is an alternate series. An alternate series is convergent if:
1. The series is decreasing.
2. If the last term (n-th term) of series converges to 0.
<u>Since each next term is less than its preceding term, so it is decreasing.</u>
First term, a = 108
Second term = -18
Common ratio, r = -18/108 = -1/6
General term, aₙ = a*rⁿ = 108*(-1/6)ⁿ
<u>When n increases to infinity, the exponent term will decreases to zero, and last term (n-th term) will converge to 0 as well.</u>
Hence, the given series converges.
Now limit will be: 

Hence, 
We are given with the function summation of 16*(5) ^(I-1) from 1 to infinity. As we assume in the calculator that infinity is equal to a very large number, the result that can be obtained is undefined. This means the number is very large. This is because the ratio (15) is large too. The series is divergent since the number in the infinite geometric series is ever increasing. Answer is B.