Homework 1.2

1.  If ​$970 is invested for one year at 13​% simple​ interest, how much interest is​ earned?

The simple interest is ​$

2.   Solve. How much pure acid is in 440 milliliters of a 13​% ​solution?

The answer is ____ ml

3.   Two sides of a triangle have the same length. The third side measures 3 m less than twice the common length. The perimeter of the triangle is 25 m. What are the lengths of the three​ sides?

What is the length of the two sides that have the same​ length? ___m

What is the length of the third​ side? ___ m

4.   A recycling bin is in the shape of a rectangular box. Find the height of the box if its length is 19 ​ft, its width is 5 ​ft, and its surface area is 334 ft2. ​(In the​ figure, h=height. Assume that the given surface area includes that of the top lid of the​ box.)

The height of the box is __ ft

5.   Jane took 15 min to drive her boat upstream to​ water-ski at her favorite spot. Coming back later in the​ day, at the same boat​ speed, took her 5 min. If the current in that part of the river is 10 km per​ hr, what was her boat speed in still​ water?

Her boat speed in still water was ___ km/her

6.  How many gallons of a 60​% antifreeze solution must be mixed with 80 gallons of 10​% antifreeze to get a mixture that is 50​% ​antifreeze? Use the​ six-step method.

You need ___ gallons

7. Ralph Chase plans to sell a piece of property for ​$165000. He wants the money to be paid off in two ways−a ​short-term note at 11​% interest and a​ long-term note at 9​% interest. Find the amount of each note if the total annual interest paid is ​$16550

The amount of the 11​% note is ______ and the amount of the 9​% note is

8.   Watch the video and then solve the problem given below.  Click here to watch the video. Margaret drove to a business appointment at 80 mph. Her average speed on the return trip was70 mph. The return trip took 17 hr longer because of heavy traffic. How far did she travel to the​ appointment?

She traveled __ miles

9.   Watch the video and then solve the problem given below.  Click here to watch the video.  How many gallons of a 80​% antifreeze solution must be mixed with 90 gallons of 20​% antifreeze to get a mixture that is 70​% ​antifreeze? Use the​ six-step method

You need __gallons