Tracy invests 500 into an ETF which earns 8% per year.In 5years how much will Tracy’s investment be worth if interest is compoun
1 answer:
Answer:
$740
Step-by-step explanation:
(see attached picture for reference)
I'm going to assume that when you wrote "500", you mean "$500"
recall that the formula for compound interest:
A=P(1+r/n) ^ (nt)
where
P = principal amount = $500
r = interest rate = 8% = 0.08
n = number of times compounded in a year = 2 (note: semi-annually means twice a year, hence n = 2)
t = number of years = 5
substituting this into the equation,
A=P(1+r/n) ^ (nt)
A=500 [ 1+(0.08/2) ] ^ (2 x 5)
A= $740.1221
A = $740 (rounded to nearest dollar)
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Answer:
a) The probability that an article of 10 pages contains 0 typographical errors is 0.8187.
b) The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.
Step-by-step explanation:
Given : The expected number of typographical errors on a page of a certain magazine is 0.2.
To find : What is the probability that an article of 10 pages contains
(a) 0 and (b) 2 or more typographical errors?
Solution :
Applying Poisson distribution,
where, n is the number of words in a page
and p is the probability of every word with typographical errors.
Here, n=10 and E(N)=np=0.2
a) The probability that an article of 10 pages contains 0 typographical errors.
Substitute r=0 in formula,
The probability that an article of 10 pages contains 0 typographical errors is 0.8187.
b) The probability that an article of 10 pages contains 2 or more typographical errors.
Substitute in formula,
The probability that an article of 10 pages contains 2 or more typographical errors is 0.0175.