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Elan Coil [88]
4 years ago
10

Kindred invested $38,976 into his first company. His investment decreased by 3.5% each year over the first 3 years. Which expone

ntial decay model could Kindred use to determine the amount his investment will be worth if it continues to decrease at the same rate?

Mathematics
1 answer:
Andrew [12]4 years ago
8 0
The third one obviously

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Which term completes the product so that it is the difference of squares?
Effectus [21]

Answer:

3

Step-by-step explanation:

For Edge Users its

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5 0
3 years ago
4 pencils and 3 crayons are 20.9 inches. 5 pencils and 4 crayons are 26.5 inches. Each pencil is the same length as the other pe
erastova [34]

Answer:

The length of the pencils is 4.1 inches and for the crayons 1.5 inches

Step-by-step explanation:

We can solve by means of a 2x2 system of equations, we have to:

let "x" be the length of the pencils

let "y" be the length of the crayons

4 * x + 3 * y = 20.9

5 * x + 4 * y = 26.5 => x = (26.5 - 4 * y) / 5

Replacing:

4 * (26.5 - 4 * y) / 5 + 3 * y = 20.9

21.2 - 3.2 * y + 3 * y = 20.9

-0.2 * y = 20.9 - 21.2

y = -0.3 / -0.2

y = 1.5

now for x:

x = (26.5 - 4 * 1.5) / 5

x = 4.1

This means that the length of the pencils is 4.1 inches and for the crayons 1.5 inches

5 0
4 years ago
Find all possible values of each expression. Suppose 3
Tomtit [17]

The inequality that describes the possible values of the expression is:

0 < \frac{b}{3a} - \frac{a}{3b} < \frac{9}{60}

<h3>What is the lower bound of values of the expression?</h3>

The expression is given by:

\frac{b}{3a} - \frac{a}{3b}

To find the lower bound, we try to see when the expression is negative, hence:

\frac{b}{3a} - \frac{a}{3b} < 0

\frac{b}{3a} < \frac{a}{3b}

Applying cross multiplication and simplifying the 3's, we have that:

b^2 < a^2

From the bounds given, this expression will never be true, at most they can be equal, when:

a = b = 4.

Hence the lower bound of values of the expression is of 0.

<h3>What is the upper bound of values of the expression?</h3>

The expression is a subtraction, hence we want to maximize the first term and minimize the second.

Considering that the first term is direct proportional to b and inverse to a, and the second vice versa, we want to:

  • Maximize b, hence b = 5.
  • Minimize a, hence a = 4.

Then:

\frac{b}{3a} - \frac{a}{3b} = \frac{5}{12} - \frac{4}{15} = \frac{25 - 16}{60} = \frac{9}{60}

Hence the bounds are:

0 < \frac{b}{3a} - \frac{a}{3b} < \frac{9}{60}

More can be learned about values of expressions at brainly.com/question/625174

#SPJ1

4 0
2 years ago
What is 56 1/2% written as a fraction in the simplest form?<br>​
Eduardwww [97]

Answer:

       7 / 28

Step-by-step explanation:

7 / 28 = 0 . 28

5 0
3 years ago
Here is an easy one
kvv77 [185]
Remember that the angles of a triangle is 180 so:

(7x+8) + (5x+2) + (7x-1) = 180
7x+8+5x+2+7x-1=180
7x+5x+7x=180-8-2+1
19x=171
X= 171/19
X=9

Therefore x=9
7 0
3 years ago
Read 2 more answers
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