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andrew11 [14]
3 years ago
14

Billy owns a painting that is valued at $39,113. If the value of the artwork increases by 10%

Mathematics
1 answer:
Bingel [31]3 years ago
5 0

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$39113\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.1\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{every year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &11 \end{cases} \\\\\\ A=39113\left(1+\frac{0.1}{1}\right)^{1\cdot 11}\implies A=39113(1.1)^{11}\implies A\approx 111593.95

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A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards
emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

187 = w^{2} +6w

w^{2} +6w-187 =0,

Using the quadratic formula w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a} where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}

w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}

We have two options: w=\frac{-6+28}{2}=\frac{22}{2}=11  yards

Or

w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length l =\frac{187}{11}=17 yards

6 0
3 years ago
What is 5/15 + 5? I have to write 20 charecters so idk what else to say.
djverab [1.8K]

Answer:

\frac{16}{3}

Step-by-step explanation:

\frac{5}{15} + 5

\frac{1}{3} + 5

\frac{1}{3} + \frac{15}{3}

\frac{1+15}{3}

\frac{16}{3}

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The answer is 1 1/6.
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The single transformation that can be used to map T₁ onto T₂ is Rotate T₁ 180° about the origin.

<h3>What transformation would map T₁ onto T₂?</h3>

When a shape is rotated 180° about the origin, it means that the points go from (x, y) to (-x, -y).

The points on T₁ if rotated 180° about the origin would go from:
(-2, -2) to (2, 2)

(5, -6) to (-5, 6)

(5,0) to (-5, 0)

These are the points of T₂ so the way to map T₁ on T₂ is to use a 180° about the origin.

Find out more on rotating about the origin at brainly.com/question/16200542

#SPJ1

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