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Algebra
The digits of Phil's bill have accidentally been reversed. He has been over-
charged by an amount that uses the same digits as the correct price. If he
spent a whole number of dollars less than $1000, what is the correct price?
charged by an amount that uses the same digits as the correct price. If he
spent a whole number of dollars less than $1000, what is the correct price?
Algebra
Anne earns $900 a month. She pays $225 for rent. What is the ratio of her rent to her income?
Algebra
3(2h + 1) – 2(h – 4) = 21
Algebra
A library expansion, begun in 2002, was expected to cost $113 million. By 2006, library officials estimate the cost would be $32 million over budget. By what percent did the actual cost exceed the initial estimate?
Algebra
60% of students in college play sports, 14% of the students who play sports play baseball. what percent of the students in the college play baseball?
Algebra
There were 80 runners to start a race. In the first half of the race, 2/5 of them dropped out. In the second half of the race, 3/8 of the remaining runners dropped out. How many runners finished the race?
Algebra
To save money for holiday presents, a person deposits $5 in a savings account on January 1, and then deposits an additional $5 every week thereafter until Christmas.
a. Write a sequence for the money in that savings account for the first 10 weeks of the year.
b. Write the general term of the sequence in part a.
c. If there are 50 weeks from January 1 to Christmas, how much money will be available for spending on Christmas presents?
a. Write a sequence for the money in that savings account for the first 10 weeks of the year.
b. Write the general term of the sequence in part a.
c. If there are 50 weeks from January 1 to Christmas, how much money will be available for spending on Christmas presents?
Algebra
In a college of 300 students,every student reads 5 newspaper and every newspaper is read by 60 students.What is the number of newspaper ?
Algebra
Brian, who recently sold his Porche, placed $25,000.00 in a savings account paying annual compound interest of 13%. Calculate the amount of money that will have accrued if he leaves the money in the bank for 10 years.
Algebra
1)Let V= R3. Show that W is a subspace of V where W = {(a, b, 0): a, b ϵ R}, i.e. W is the xy plane consisting of those vectors whose third component is 0.
2)Let V= R3. Show that W is not a subspace of V where W = {(a, b, c): a, b, c ϵ Q}, i.e. W consists of those vectors whose components are rational numbers.
3)Determine whether the vectors v1 = (2, -1, 3), v2 = (4, 1, 2) and v3 = (8, -1, 8) span R3.
4)Use system of linear equations form and row echelon form to show that the vectors (2, -1, 4), (3, 6, 2) and (2, 10, -4) are linearly independent.
2)Let V= R3. Show that W is not a subspace of V where W = {(a, b, c): a, b, c ϵ Q}, i.e. W consists of those vectors whose components are rational numbers.
3)Determine whether the vectors v1 = (2, -1, 3), v2 = (4, 1, 2) and v3 = (8, -1, 8) span R3.
4)Use system of linear equations form and row echelon form to show that the vectors (2, -1, 4), (3, 6, 2) and (2, 10, -4) are linearly independent.
