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kramer
3 years ago
8

Jesslyn hypothesizes that the value of antique furniture can be modeled by exponential decay and that the value of a particular

piece will decrease at a rate of 0.15% each year. If the furniture was originally valued at $15,000 in 1990 what should Jesslyn expect the value of the furniture to be in 2010?
Mathematics
1 answer:
kow [346]3 years ago
6 0

If this can be modelled by exponential decay, therefore the function must be in the form of:

A = Ao (1 + r)^t

where A is the final value, Ao is the initial = 15000, r is the rate of decay = -0.0015, t is time = 2010 – 1990 = 20

 

A = 15,000 (1 – 0.0015)^20

A = $14,556.36

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Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of phones that were on sale, given that 6% of the cell phones that were on sale, therefore:

number of cell phones sold = 6% of x = 0.06 × x = 0.06x

21 phones were sold, hence:

0.06x = 21

x = 21/0.06

x = 350 phones

This means that 350 cell phones were on sale.

Number of cell phones not sold = total number of cell phones that were on sale - number of cell phones sold

Number of cell phones not sold = 350 - 21

Number of cell phones not sold = 329

4 0
3 years ago
Identify the horizontal asymptote of f(x) = quantity x squared plus 5 x minus 3 over quantity 4 x minus 1
ryzh [129]
We are given with the equation <span>f(x) = (x^2 + 5x - 3) / (4x -1). The horizontal asymptote tells the value of the function when x approaches a very big number. Substituting, 1 x 10^30, we get the value of 5.541. Likewise, when we substitute -1x10^-30, the value is -5.541. Hence the horizontal asymptote is y = 5.541.</span>
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3 years ago
This is a picture of a cube and the net for the cube.<br><br> What is the surface area of the cube?
mina [271]

Answer:

486\ in^2

Step-by-step explanation:

we know that

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The side that is equivalent to side SR is side AB.

<h3>How to carry out Rotational Transformation?</h3>

When rotating a point 180 degrees counterclockwise about the origin, our point A(x, y) becomes A'(-x, -y). Thus, all we do is make both x and y negative.

The coordinates of the original square are;

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The side that is therefore equivalent to side SR is side AB.

Read more about Rotational Transformation at; brainly.com/question/26249005

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