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Tatiana [17]
3 years ago
11

BC Round your answer to the nearest hundredth. А 50° ? 3 B

Mathematics
2 answers:
marysya [2.9K]3 years ago
7 0

Answer: BC = 2.30

Step-by-step explanation:

BC = 3sin50

BC = 2.2981333...

BC = 2.30

emmasim [6.3K]3 years ago
6 0

Use the sine function.

sine = opposite side of triangle divided by the hypotenuse.

Here is the set up:

sin(50°) = BC/3

sin(50°)/3 = BC

Use your calculator to simply left side.

Take it from here.

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11000 is compounded semiannually at a rate of 12% for 21 years. Find the total amount in the compound interest account
marishachu [46]

\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}\dotfill &\$11000\\
r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semiannually, thus twice}
\end{array}\dotfill &2\\
t=years\dotfill &21
\end{cases}


\bf A=11000\left(1+\frac{0.12}{2}\right)^{2\cdot 21}\implies A=11000(1.06)^{42}\implies A\approx 127127.359416

5 0
4 years ago
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Novosadov [1.4K]

Answer:

The answer is 1/5

Step-by-step explanation:

The answer is 1/5

4 0
3 years ago
Graph a line that is perpendicular to the given line. Determine the slope of the given line and the one you graphed in simplest
MArishka [77]
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7 0
3 years ago
The population of a town is 13,000. It decreases at a rate of 5% per year. In about how many years will the population be less t
just olya [345]

This is an exponential decay problem.

Using the equation Y = a *(1-rate)^time

where Y is the future value given as 12,000 and a is the starting value given as 13,000.

The rate is also given as 5%.

The equation becomes:

12,000 = 13,000(1-0.05)^x

12,000 = 13,000(0.95)^x

Divide each side by 13000:

12000/13000 = 0.95^x/13000

12/13 = 0.95^x

Use the natural log function:

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Round to 2 years it will be less than 12000.

3 0
3 years ago
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