$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$150\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &13
\end{cases}
\\\\\\
A=150\left(1+\frac{0.08}{1}\right)^{1\cdot 13}\implies A=150(1.08)^{13}\implies A\approx 407.9435589$

3 0

2 years ago

The big dog weighs 5 times as much as the little dog. The little dog weighs 2 3 as much as the medium-sized dog. The medium-size

disa [49]

Answer:

The answer to your question is the big dog weighs 120 pounds

Step-by-step explanation:

Data

big dog = b

medium dog = m

small dog = s

Equations

b = 5s

m = 12 + s

s = 2/3 m

Process

1.- Substitute m in the last equation

s = 2/3(12 + s)

s = 24/3 + 2/3s

s - 2/3s = 8

1/3 s = 8

s = 8(3)

s = 24 pounds

2.- Substitute s in the first equation

b = 5(24)

b = 120 pounds

4 0

3 years ago

One vertex of a polygon is located at (3, –2). After a rotation, the vertex is located at (2, 3).

motikmotik

yes it is right when the vertex of the first polygon is located on 3 - 2 after rotation the work vertex will be there on (2 , 3) it is right

4 0

2 years ago

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