Algebra Answers

An athlete buys three T-shirts, five sweat-bands and two pairs of running shoes from a sports outlet.

A T-shirt costs twice as much as a sweat-band, while a pair of running shoes costs $ 300 more than a

sweat-band. The athlete hands the cashier $ 1380

Determine the cost of a T-shirt, a sweat-band and a pair of running shoes.

Two water tanks at PPV Aman and PPV Damai consists of x and 3000 litres of water, respectively, on the first day.

a) Subsequently, y litres of water is used from the tank in PPV Aman everyday. Volume of water left at the end of 18th day is 2520 litres and the tank will be expected empty by the day 81. Find the value of x and y. [8 marks]

b) The usage of water in PPV Damai constantly 30 litres per day. Find the day for both, tank at PPV Aman and PPV Damai, has the same amount of water. [4 marks]

3. The number of seats in the first row of a theatre has 14 seats. Suppose that each row after the first had 2 additional seats. The number of seats in each row forms an arithmetic sequence.

a) Find the number of seats in the 6th row. [2 marks]

b) Find the total number of seats in the first 10 rows. [3 marks]

c) Given the total number of seats in the first n rows is 660. Show

that n2 13n  660 . Hence, find the value of n when the total number of seats is 660. [6 marks]

The electrical power for an implanted medical device decreases by 0.1% each day.

a. Find a formula for the nth term of the geometric sequence that gives the percent of the initial

power n days after the device is implanted.

1. Think of any currency and make a formula that will convert philippine peso to this currency.

2. Write the table of values showing the conversion and sketch the graph.

3. Create formula that will convert the currency that you have chosen in Item 1 to peso.

4. Make a table of values using the second formula and sketch the graph in the same cartesian plane you have made in Item 2.

5. Answer the following questions:

a. What relationship exists between the two formulas you have made?

1. b. What can you say about their graphs?

If a, b and c are the roots of the equation x^3 -6x^2 +10x-6 =0 , find the values of a^2 +b^2 +c^2 and 1/a + 1/b + 1/c.

Think of any currency and make a formula that will convert philippine peso to this currency.

A true-false quiz contains five questions. In how many ways can a student answer the questions if the student answers two of the questions with “false” and the other three with “true”

Given the investment flow

I(t) = 2400√t

(a) Calculate the total capital formation during the first four years.

(b) Find an expression for the annual capital formation during the Nth year and hence find the first year in which the annual capital formation exceeds $4000.

first five brothers were given land with area l03,107,105,90 and 95m². if the mean of the areas of land is 105m² who received the biggest share