6 per cent compounded daily yields
(1 + .(06/365) )^365
=
<span>
<span>
<span>
1.0618313107
</span>
</span>
</span>
-1=
<span>
<span>
<span>
6.18313107 % annually
Total = </span></span></span><span>4,000 * (1.0618313107)^(92/365) =
</span><span>$ 4,060.95
Here's a compound interest calculator:
http://www.1728.org/compint.htm
</span>
We have 8 sides to calculate, it will be hard to explain which side I'm calculating without marking on the picture.
We will start with the front facing side. We can break this up into an 8ft x 8ft square, and a 14ft x 6ft rectangle. The area equals:
8ft x 8ft + 14ft x 6ft = 148ft^2
The front facing is the same area as is back facing counterpart so we can multiply the surface area by 2:
148ft^2 x 2 = 296f^2
Adding the bottom surface area 6ft x 14ft:
6ft x 14ft + 296ft^2 = 380ft^2
Adding the right side 6ft x 14ft:
6ft x 14ft + 380ft^2 = 464ft^2
Adding the left side 8ft x 6ft:
8ft x 6ft + 464ft^2 = 512ft^2
Adding the 3 sides on the top 8ft x 6ft (top facing), 6ft x 6ft (top facing), and 6ft x 6ft (left facing):
<span>8ft x 6ft + 512ft^2 = 560ft^2
</span><span>6ft x 6ft + 560ft^2 = 596ft^2
</span>6ft x 6ft + <span>596</span>ft^2 = 632ft^2
Therefore the answer is C, 632 ft^2.
Answer:
8.81% probability that the student answers exactly 4 questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A multiple choice exam has ten questions.
This means that 
The probability of answering any question correctly is 0.20.
This means that 
What is the probability that the student answers exactly 4 questions correctly
This is P(X = 4).
8.81% probability that the student answers exactly 4 questions correctly
