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Bond [772]
3 years ago
5

Jim has a floor plan for a porch that measures 5 inches long by 12 inches wide. The actual porch is 16 feet wide. What is the sc

ale factor for this drawing? What is the porch’s actual length?
Mathematics
1 answer:
kogti [31]3 years ago
4 0

Answer:

Scale: 1:16

Porch length: 6 \frac{2}{3}'

Step-by-step explanation:

In the floor plan the porch is 1 ft wide and in reality it is 16 ft wide, giving it a scale of 1:16.

The length of the porch can be found by

\frac{12}{192}= \frac{5}{?}

or by multiplying 5 by 16, then dividing by 12 to convert to feet.

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You want to be able to withdraw $25,000 each year for 20 years. Your account earns 5% interest.
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Answer:

a. $311,555.26

b. $500,000

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Step-by-step explanation:

The computation is shown below:

a. Here we have to determine the present value

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The formula is shown below:

= -PV(RATE;NPER;PMT;FV;TYPE)

after applying the above formula, the amount that need in the beginning is $311,555.26

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6 0
3 years ago
A stack of books is 24 inches high.
JulsSmile [24]

Answer:

32

Step-by-step explanation:

Let's say n such books make up the stack.

If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.

==> number of books × 3/4 = 24

(<em>to</em><em> </em><em>get</em><em> </em><em>this</em><em> </em><em>result</em><em> </em><em>add</em><em> </em><em>the</em><em> </em><em>heights</em><em> </em><em>of</em><em> </em><em>n</em><em> </em><em>such</em><em> </em><em>book</em><em>,</em><em> </em><em>and</em><em> </em><em>equate</em><em> </em><em>it</em><em> </em><em>to</em><em> </em><em>2</em><em>4</em><em>.</em><em> </em><em>You'll</em><em> </em><em>get</em><em> </em><em>something</em><em> </em><em>like</em><em>:</em>

<u><em>3</em><em>/</em><em>4</em><em> </em><em>+</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>+</em><em>.</em><em> </em><em>.</em><em> </em><em>.</em><em> </em><em>.</em><em> </em><em>n</em><em> </em><em>times</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em></u>

<em>And</em><em> </em><em>that's</em><em> </em><em>what's</em><em> </em><em>meant</em><em> </em><em>by</em><em> </em><em>3</em><em>/</em><em>4</em><em> </em><em>×</em><em> </em><em>n</em><em> </em><em>=</em><em> </em><em>2</em><em>4</em><em>)</em>

==> n × 3/4 = 24

<em>multiply</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>4</em>

<em>=</em><em>=</em><em>></em><em> </em>n × 3 = 24 × 4

<em>divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>3</em>

==> n = (24 × 4)/3

==> n = 8 × 4

==> n = 32

We assumed the number of books to be n.

so the answer is:

<u> <em>32</em></u> books, each if height 3/4 inch, are required to build a stack 24 inches high.

4 0
3 years ago
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