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Lubov Fominskaja [6]
3 years ago
9

The width of a rectangle is 4 less than half the length. if l represents the length, which equation could be used to find the wi

dth, w?
Mathematics
1 answer:
Nostrana [21]3 years ago
5 0

Answer:

w = I /2 - 4

Step-by-step explanation:

half the length : I /2

4 less than half the length : I /2 - 4

To match the requirements : w= I /2 - 4

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A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoe
vaieri [72.5K]

To answer the question, let B call the amount of meat and P the number of potatoes.

The recipe says that for every pound of meat we need 3 potatoes.

Then that relationship is written as follows:

1B = 3P

\frac{1}{3}=\frac{P}{B}

If we increase the amounts of the recipe by 100%, it will multiply by 2 the amount of meat and also that of potatoes. Therefore we need 2 pounds of meat and 6 potatoes.

Then the relationship is:

2B = 6P

\frac{2}{6}=\frac{P}{B}

But \frac{2}{6}=\frac{1}{3}

Therefore, the proportion that represents the situation remains the same 1B = 3P

This occurs because the increase in the amount of potatoes and beef was in the same proportion.

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Dmitry [639]
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Because that drawing represents the number that are less or equel than -9 and the answer is the numbers greater or equal than -9.
4 0
3 years ago
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Suppose you would like to save P9000 invested at 8% compounded quarterly for 5 years and 6 months. (Note: Round off your answer
Sever21 [200]

Answer:

a) 13913

b) 4913.82

Step-by-step explanation:

The compound interest formula is given by:

A(t) = P(1 + \frac{r}{n})^{nt}

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

Investment of 9000, so P = 9000

Interest rate of 8%, so r = 0.08

Compounded quarterly, so n = 4

5 years and 6 months, that is, 5 years and half, so t = 5.5

(a) How much would the value of her savings at the end of the term?

A(t) = P(1 + \frac{r}{n})^{nt}

A(5.5) = 9000(1 + \frac{0.08}{4})^{4*5.5} = 13913.82

(b) How much is the interest earned by your savings?

The amount subtracted by the principal. So

13913.82 - 9000 = 4913.82

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3 years ago
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Answer:

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