Solve the following problems with solutions

I.Rate, Base, Percentage

1.An Ethernet network transmits a maximum packet size of 1,500 bytes. 1.7% of each packet is "overhead." How much information (in bytes) in a maximum-size packet is overhead?

2.A state sales tax rate is 3.5%. If the tax on a purchase was 7, what was the price of the purchase?

3.Mr. Macalino, a professional lambanog taster, made 32,800 last year. This year he had a raise of2,132. What was the percent of the raise?

4.Alfred is a real estate agent. He makes 2.5% commission on each sale. During the month of June he sold three houses. The houses sold for 153,000, 299,000 and 121,000. What was Alfred's total commission on these three sales?

5.Adrei scored 260 points during his junior year on the school basketball team. He scored 20% more points during his senior year. How many points did he score during his senior year?

II.Arithmetic and Geometric Progressions

1.Find the 23rd term of an arithmetic progression with first term 2 and common difference 7.

2.A geometric progression is given by 1, -4, 16, -64, . . . What is its common ratio?

3.Find the 7th term of a geometric progression with first term 2 and common ratio 3.

4.Find the sum of the first five terms of the arithmetic progression with first term 3 and common difference 5.

5.Find the sum of the first five terms of the geometric progression with first term 3 and common ratio 2.

6.A writer wrote eight hundred ninety words on the first day, seven hundred sixty words on the second day and six hundred thirty words on the third day, and so on in an arithmetic sequence. How many words did the writer write in a week?