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September 20, 2014

Posted by **Edna** on Wednesday, November 28, 2012 at 10:03am.

Ans. my book says: 3,618.13

I come up with: 118,125

2. Scale reads 1 inch = 24 inches for a house window. If window measures 1 3/4 inches, what is the actual length?

Ans. my book says: 3 ft 6 in

I come with 3.5

3. Scale reads 1 inch = 8 ft. If the width of the drawing is 2.25 inches and the length is 4 inches, what is the actual length of the deck's diagonal?

Ans. my book says: 37 ft.

I don't know how they came up with 37 ft.

- Math -
**Reiny**, Wednesday, November 28, 2012 at 10:22am1.

amount = 3500 + 3500(.045)(9/12)

= 3500 + 118.125

= 3618.13

Your answer is only the interest earned, you must add this to what you already have.

2.

you have 3.5 feet

= 3 feet + 1/2 foot ----- .5 = 1/2

= 3feet , 6 inches

3.

so the actual width of the deck is 18 ft and the length is 32 feet

by Pythagoras

H^2 = 18^2 + 32^2 = 1348

H = √1348 = 36.7 or rounded to 37 feet

- Math -
**Steve**, Wednesday, November 28, 2012 at 10:25am1.

Can't imagine how you got that answer. Even using 45%, I only get 99169!

However, 4.5% = .045 and that's an annual rate.

You want a monthly rate. Furthermore, you don't say whether that's simple interest or compounded monthly

Simple: 3500(1+.045/12*9) = 3618.13

so, I guess that's it.

2.

the scale indicates that the real dimensions are 24 times as large as the scale drawing.

1 3/4 = 7/4

7/4*24 = 42 inches = 3'6"

You are correct. Since a foot is 12 inches, the .5 foot is 6 inches.

3.5 feet = 3 feet 6 inches!

Keep track of the units, and don't lose track of conversions needed.

3.

This is just like #2.

1" = 8'

2.2" = 2.25(8') = 18'

4" = 4(8') = 32'

so, you have a rectangle that is 18x32.

Recall the Pythagorean Theorem, to see that the diagonal is

√(18^2+32^2) = √(324+1024) = √1348 = 36.7, or 37'

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