find the balance in the account. $2,400 principal earning 2%, compounded annually, after 7 years $2,736.00 $2,756.85 $307,200.00
1 answer:
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Answer:
279,936 ways
Step-by-step explanation:
Every day the student has to chose a sandwich from the pile of 6 sandwiches. So this means the student has to make a choice from the 6 sandwiches for the 7 days. Since the order matters, this is a problem of permutations.
Daily the student has the option to chose from 6 sandwiches. So this means, for 7 days, he has to make a choice out of 6 options. Or in other words we can say, the student has to make selection from 6 objects 7 times.
So, the total number of ways to chose the sandwiches will be 6 x 6 x 6 x 6 x 6 x 6 x 6 =
Alternate Method:
Since the repetition can occur in this case, i.e. a sandwich chosen on one day can also be chosen on other day, the following formula of permutations ca be used:
Number of ways =
where n is the total number of choices available which is 6 in this case and r is the number of times the selection is to be made which 7 in this case. So,
The number of ways to chose a sandwich will be = ways
The volume formula of a cone is 
the r is the radius and h is the height. However, if you multiply by pi, you will get an approximated volume of the cone. So we will multiply like this for now. 
Don't worry, we'll use pi in the end.
I'm going to assume that 7 inches is your radius. We need to plug in 7 for r and 4 in for h into the equation. Once we do that, it will look like this.
means we will need to divide one by 3. That gives us 0.33333... now we have to multiply by 
we get 16.33333... now the last thing we need to do is multiply by 4, which is h. We get 65.33333. Add pi and you have your answer. 
I'm going to assume that 7 inches is your radius. We need to plug in 7 for r and 4 in for h into the equation. Once we do that, it will look like this.