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2 years ago

Suppose you invest $2000 at a rate of 3.25% continuously, determine the worth of the investment after 10 years.

Mathematics

1 answer:

AysviL [449]2 years ago

8 0

Answer:

$2650

Step-by-step explanation:

= 2000 × 0.0325 × 10 = 650

= $ 650.00

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∫(cosx) / (sin²x) dx

kirza4 [7]

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

_______________

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>

5 0

3 years ago

Xavier can work no more than 40 hours in a week. He has already worked 24 hours this week. What is the maximum number of 8-hour

ozzi

16 i think idk though

6 0

3 years ago

Read 2 more answers

Asked 03.28.2020

snow_tiger [21]

Distance to the farm is 24 miles

Step-by-step explanation:

Step 1: Let the speed of Peggy be x mph. Then the speed of Mike is x + 36 mph. Find the equation of distance for Mike and Peggy to the farm.

Time taken by Mike = 0.5 hr

Time taken by Peggy = 2 hrs

Distance is calculated by the equation Distance = Speed × Time

Distance traveled by Mike = (x + 36) × 0.5

Distance traveled by Peggy = x × 2

Step 2: Equate the 2 distances of Mike and Peggy as they are the same and find x.

(x + 36) × 0.5 = 2x

0.5x + 18 = 2x

1.5 x = 18

⇒ x = 18/1.5 = 12 mph

Step 3: Find the distance to the farm.

Distance to the farm = 2x = 24 miles

4 0

3 years ago

How to subtract fractions with unlike denominators khan academy?

Finger [1]

First find the LCD of the denominators then convert the fractions. Then you can subtract.

for example

2/7 - 1/4

LCD of 4 and 7 is 28 so we convert to fractions with denominator 28

1/4 = 1*7 / 4*7 = 7 /28

2/7 = 2*4 / 7*4 = 8/28

so 2/7 - 1/4 = 8 /28 / 7/28 = 1/28 answer

6 0

3 years ago

Find the factor of each ff. <br>49x²-63x+7

xz_007 [3.2K]

Answer:

7(7x²-9x +1)

Step-by-step explanation:

49x²-63x+7

7(7x²-9x +1)

7 0

2 years ago