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Sloan [31]
2 years ago
12

A car purchased for $24,000 is expected to lose value, or depreciate, at a rate of 8% per year. This situation can be modeled by

P(t)=24,000(1-0.08)^t
What is the meaning of the output P(t) in context of the problem?
What is the meaning of the input t in context of the problem?
Mathematics
1 answer:
algol [13]2 years ago
5 0

\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &24000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=\textit{elapsed time}\dotfill &t\\ \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{current value}}{\stackrel{A}{\stackrel{\downarrow }{P(t)}}}=24000(1-0.08)^{\stackrel{\stackrel{\textit{years}}{\downarrow }}{t}}

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if you reflect fgh across the y-axis, what will be the coordinates of the vertices of the image f'g'h'
k0ka [10]
When you reflect FGH across the y-axis, you are left with the vertices of F'G'H at (2, -1) (-2, 2) (-4, -3)
The correct answer is b.

Hope this helps =)
6 0
3 years ago
Read 2 more answers
The square below represents one whole.
kupik [55]

Answer:

\text{Shaded area as fraction}=\frac{81}{100}

\text{Shaded area as decimal}=0.81

\text{Shaded area as percent of the whole}=81\%

Step-by-step explanation:

Please consider the attached image as the given square.

We are asked to express the shaded area as a fraction, a decimal, and a percent of the whole.

We can see that in our figure there are 100 squares as there are 10 rows and each row contains 10 squares.

We can also see that there are 81 shaded squares out of 100 squares, so we can represent it as a fraction as:

\frac{\text{Shaded squares}}{\text{Total squares}}

\text{Shaded area as fraction}=\frac{81}{100}

To convert the shaded area into decimal, we need to divide 81 by 100.

\text{Shaded area as decimal}=0.81

To convert the shaded area into percent, we need to multiply 0.81 by 100.

\text{Shaded area as percent of the whole}=0.81\times 100\%

\text{Shaded area as percent of the whole}=81\%

7 0
3 years ago
Read 2 more answers
A book sold 33,100 copies in its first month of release. Suppose this represents 7.8% of the number of copies sold to date. How
matrenka [14]
33100 = 7.8% of total
33100 = .078 x total (change from percent to decimal)
33100/.078 = total (divide both sides by decimal)

424358.9 = total

Round to 424,359 copies.
3 0
2 years ago
Write 2/4 in lowest terms
ycow [4]

Answer:

1/2

Step-by-step explanation:

Divide it by 2 on both sides. 2/2 is 1. 4/2 is 2. So 1/2

7 0
2 years ago
What is the radius of a sphere if its surface area is 2,122.64 square inches? (Use 3.14 for π.) 11 in. 13 in. 121 in. 169 in.
crimeas [40]
To solve this, we are going to use the surface are of a sphere formula: A=4 \pi r^2
where
A is the surface area of the sphere 
r is the radius of the sphere 

We know for our problem that A=2122.64 and \pi =3.14, so lets replace those vales in our formula:
A=4 \pi r^2
2122.64=4(3.14)r^2
2122.64=12.56r^2
Now, we just need to solve our equation for r:
\frac{2122.64}{12.56} =r^2
r^2=\frac{2122.64}{12.56}
r^2=169
r=+or- \sqrt{169}
r=13 or r=13
Since the radius of a sphere cannot be a negative number, r=13.

We can conclude that the radius of a sphere with surface area <span>2,122.64 </span>in^2 is 13 in.
3 0
2 years ago
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