You invested $25,000 in two accounts paying 2% and 4% annual interest, respectively. If the total interest earned for the year was $600, how much was invested at each rate?

The amount invested at 2% is?

Susan Marciano invested part of her $27,000 bonus in a fund that paid an 11% profit and invested the rest in stock that suffered a

3% loss. Find the amount of each investment if her overall net profit was $870.

The amount invested at 11% is

The amount invested in stock is

A rectangular athletic field is twice as long as it is wide. If the perimeter of the athletic field is 360 yards, what are its dimensions?

The length of a new rectangular playing field is 5 yards longer than

quadruple the width. If the perimeter of the rectangular playing field is 520 yards, what are its dimensions?

A rectangular painting measures 11 inches by 17 inches and contains a frame of uniform width around the four edges. The perimeter of the rectangle formed by the painting and its frame is 64 inches. Determine the width of the frame.

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Part 1

The width of the frame is

inch(es).

The area of a rectangular wall of a barn is 84 square feet. Its length is 8 feet longer than the width. Find the length and width of the wall of the barn.

The width is? feet.

Each side of a square is lengthened by 1 inch. The area of this new, larger square is 49 square inches. Find the length of a side of the original square.

A pool measuring 12 meters by 24 meters is surrounded by a path of uniform width. If the area of the pool and the path combined is 748 square meters, what is the width of the path?

As part of a landscaping project, you put in a flower bed measuring

20 feet by 40 feet. To finish off the project, you are putting in a uniform border of pine bark around the outside of the rectangular garden. You have enough pine bark to cover 544 square feet. How wide should the border be?

A 19-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 18 feet from the base of the building. How high up the wall does the ladder reach?

A tree is supported by a wire anchored in the ground 16 feet from its base. The wire is 8 feet longer than the height that it reaches on the tree. Find the length of the wire.

A rectangular piece of land whose length is twice its width has a diagonal distance of 90 yards. How many yards, to the nearest tenth of a yard, does a person save by walking diagonally across the land instead of walking its length and its width?

A group of winning ticket holders share equally in a $90,000,000 lottery. Before the money is divided, three more winning ticket holders are declared. As a result, each person's share is reduced by$2,500,000. How many people were in the original group of winners?

Every weekend, you ride your bicycle on a forest preserve path. The path is 22 miles long and ends at a waterfall, at which point you relax and then make the trip back to the starting point. One weekend, you find that in the same time it takes you to travel to the waterfall, you are only able to return10 miles. Your average speed going to the waterfall is 6 miles per hour faster than the return trip. Use the formula

Time traveled=Distance traveled/Average velocity to find your average speed going to the waterfall.

You ride your bike to campus a distance of 7 miles and return home on the same route. Going to campus, you ride mostly downhill and average 9 miles per hour faster than on your return trip home. If the round trip takes one hour and 54 minutesthat is, 19/10 hours -what is your average velocity on the return trip? Use the formula

Time traveled=Distance traveled/Average velocity.

City Cabs charges a $2.75 pickup fee and $1.75 per mile traveled. Diego's fare for a cross-town cab ride is $16.75.

How far did he travel in the cab?

A book contains the following recommended weight for kangaroo: "Give the kangaroo 130 pounds for the first 5 feet plus 5 pounds for every inch over 5 feet tall." Using this description, what height corresponds to a recommended weight of 190 pounds?

A job pays an annual salary of $32,550, which includes a holiday bonus of $750. If paychecks are issued twice a month, what is the gross amount for each paycheck?

You have 24 hits in 120 times at bat. Your batting average is 24/120, or 0.2.

How many consecutive hits must you get to increase your batting average to 0.25?