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Rudik [331]
2 years ago
6

Which trigonometric ratios can be determined from the triangles? Select all that apply.

Mathematics
1 answer:
Maksim231197 [3]2 years ago
3 0
Where’s the ratios that we can select? can you provide?
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U/4 = 8/3<br><br>Round your answer to the nearest tenth.<br><br>u=____
rodikova [14]
Find a common denominator (12).

u/4=8/3
3u/12=32/12
Multiply each side by twelve to get rid of the denominator.
3u=32
u=1 2/3
1 and two-thirds equals 1.6666666 in decimal form, so the nearest tenth would be 1.7

4 0
3 years ago
What is 1000 times 20
PIT_PIT [208]
The answer is 20,000
3 0
3 years ago
Read 2 more answers
Find the integral of sqrt(4x-x^2)dx.
lukranit [14]
∫ √(4x - x²) dx
= 2[(4x - x²)^(3/2)] / 3(4 - 2x)
6 0
2 years ago
3. You want to have $4000 in your savings account after 2 years. Find the amount you should deposit for each of the situations d
pychu [463]

Answer:

Part A)

About $3767.34.

Part B)

About $3692.47.

Step-by-step explanation:

Part A)

Recall that compound interest is given by the formula:
\displaystyle A = P\left(1+\frac{r}{n}\right)^{nt}

Where <em>A</em> is the final amount, <em>P</em> is the initial amount, <em>r</em> is the interest rate, <em>n</em> is the number of times compounded per year, and <em>t</em> is the number of years.

To obtain $4000 after two years, let <em>A</em> = 4000 and<em> t</em> = 2.

Because the account pays 3% interest compounded monthly, <em>r</em> = 0.03 and <em>n</em> = 12.

Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned} (4000) & = P\left(1+\frac{(0.03)}{(12)}\right)^{(12)(2)} \\ \\ P & = \frac{4000}{\left(1+\dfrac{(0.03)}{(12)}\right)^{(12)(2)}} \\ \\ & \approx \$3767.34\end{aligned}

In concluion, about $3767.34 should be deposited.

Part B)

Recall the formula for continuous compound:

\displaystyle A = Pe^{rt}

Where <em>e</em> is Euler's number.

Hence, let <em>A</em> = 4000, <em>r</em> = 0.04 and <em>t</em> = 2. Substitute and solve for <em>P: </em>

<em />\displaystyle \begin{aligned}(4000) & = Pe^{(0.04)(2)} \\ \\ P & = \frac{4000}{e^{(0.02)(4)}} \\ \\ & \approx \$3692.47 \end{aligned}

In conclusion, about $3692.47 should be deposited.

8 0
2 years ago
A basketball team has 12 players. In how many different ways can the coach select 2 players to be the captains for tonight's gam
Elza [17]
I wanna say 6 cause 12 divided by 2 is 6 :)
6 0
3 years ago
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