I have some questions that I'm a little stuck on. They're pretty simple but I'm just having trouble. Can someone please tell me the steps on how to solve them?

Question

1. A collection of books is set up into 34 rows. The first row has 96 books, and each row after that one has 2 less books than the preceding row. How many total books are there in the structure?

2. An initial deposit of $35,000 into a bank gains simple interest of 6% per year. Find a formula that will describe the amount of money in the bank account for any given year n ..

3. Adam dined at a local restaurant last week. He decided to include a 21% tip for the excellent service. After the tip, Adam paid $62.81 for his dining experience. How much was the cost of the bill before the tip? Round to the nearest cent.

Thanks!

Answer 1

1. This is just an arithmetic sequence.
S34 = 34/2 (2(96)+33(-2)) = 2142

2. At the end of year n,
A = 35000(1+.06n)

3. 1.21x = 62.81

Answer 2

Thank you! Do you think you could help me with these as well?

1. Ralph and Johnnie start back to back and walk away in opposite directions from one another. Ralph walks 15 paces and Johnnie walks 18 paces before both stop. Ralph turns around and walks 27 paces to reach Johnnie's current position . The length of one of Ralph's paces is how many times the length of one of Johnnie's paces? Assume that all of Ralph paces are the same length and all of Johnnie's paces are of the same length.

2. The ideal ratio of dark to milk chocolate in a box of chocolates is 3 dark to 12 milk, respectively. If a large box of chocolates contains 19 pieces of dark chocolate, approximately how many pieces of milk chocolate are in the box? Round to the nearest chocolate.

(I got 76)

3. In how many different ways can the letters in the word ALGEBRA be arranged?

Answer 3

If the strides are of length r and j,
27r = 15r+18j
r = 3/2 j

19/3 = 6 1/3
12 * 6 1/3 = 76

7!/2! = 2520

Answer 4

Thank you so much