You put $5000 in an account. The account earns $2250 simple interest in 10 years. What is the annual interest rate?

Mathematics

1 answer:

galina1969 [7]3 years ago

6 0

The rate is 5% a year

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What is the interest on a loan of $7,850 that is borrowed at 6.55% for 18 months?

Flauer [41]

Answer:

${ \tt{simple \: interest = }} \\ { \tt principle \times rate \times period}\\ \\ = 7850 \times 6.55\% \times 18 \\ { \tt{interest = 925515 \: dollars}}$

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3 years ago

Read 2 more answers

Will mark brainliest Find the surface area of the cylinder. Use 3.14 for pi. Do not round the answer.

Aleks [24]

The surface area of the cylinder is A≈2111.15in²

6 0

3 years ago

Add 280.00 +21.40 +6.30 +.41 = 308.71, I don't know where the 7 was added though

Vitek1552 [10]

I m getting 308.11, there is an additional 0.60 that is added, maybe your source is wrong, or there is a copying error.

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3 years ago

∫(cosx) / (sin²x) dx

kirza4 [7]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2822772

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Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\
=\mathsf{\displaystyle\int\! \frac{1}{(sin\,x)^2}\cdot cos\,x\,dx\qquad\quad(i)}$

Make the following substitution:

$\mathsf{sin\,x=u\quad\Rightarrow\quad cos\,x\,dx=du}$

and then, the integral (i) becomes

$=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\
=\mathsf{\displaystyle\int\! u^{-2}\,du}$

Integrate it by applying the power rule:

$\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\
\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\
\mathsf{=-\,\dfrac{1}{u}+C}$

Now, substitute back for u = sin x, so the result is given in terms of x:

$\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\
\mathsf{=-\,csc\,x+C}$

$\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>

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4 years ago

Is the following statement true or false? The intersection of a plane and a line can be a line segment

Ganezh [65]

Answer:

the answer is true

Step-by-step explanation:

3 0

3 years ago