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3 years ago

7

A new car is purchased for 20700 dollars. The value of the car depreciates at 11% per year. What will the value of the car be, t

o the nearest cent, after 11 years?

1 answer:

Mandarinka [93]3 years ago

4 0

Answer:

The answer for that is 5744.61

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If sin A = 3/8, find the value of cosec A - sec A.

alexira [117]

Answer:

$\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}$

Step by step explanation:

$\text{Given that,}\\\\~~~~~~\sin A = \dfrac 38 \\\\\implies \sin^2 A = \dfrac 9{64}\\\\\implies 1 - \cos^2 A = \dfrac{9}{64}\\\\\implies \cos ^2 A = 1 - \dfrac 9{64}\\\\\implies \cos^2 A = \dfrac{55}{64}\\\\\implies \cos A =\pm\sqrt{\dfrac{55}{64}}\\ \\\implies \cos A = \pm\dfrac{\sqrt{55}}8\\\\$

$\implies \dfrac 1{\cos A} = \pm\dfrac{8}{\sqrt{55}}$

$\text{Now,}\\\\\csc A - \sec A\\\\=\dfrac{1}{\sin A}- \dfrac{1}{\cos A}\\\\=\dfrac 83 -\left(\pm \dfrac 8{\sqrt {55}} \right)\\ \\\text{Hence,}\\\\\csc A - \sec A = \dfrac 83 + \dfrac{8}{\sqrt{55}}\\\\\csc A - \sec A = \dfrac 83 - \dfrac{8}{\sqrt{55}}$

6 0

2 years ago

PL has endpoints P(4, −6) and L(−2, 1). The segment is translated using the mapping (x, y) → (x 5, y). What are the coordinates

cestrela7 [59]

The coordinates of P' is (9, -6) and L' is (3, -1).

<h2>Given that</h2>

PL has endpoints P(4, −6) and L(−2, 1).

The segment is translated using the mapping (x, y) → (x + 5, y).

<h3>We have to determine</h3>

What are the coordinates of P’ and L’?

<h3>According to the question</h3>

PL has endpoints P(4, −6) and L(−2, 1).

The segment is translated using the mapping (x, y) → (x + 5, y).

The coordinates of point P after translation using mapping is,

$\rm P(x, \ y) - P'(x+5, y)\\
\\
P(4, -6) - P'(4+5, \ -6)\\
\\
P(4, -6) - P'(9, -6)\\$

And the coordinates of point L after translation using mapping is,

$\rm L(x, \ y) - L'(x+5, y)\\\\L(-2, 1) - L'(-2+5, \ -1)\\\\L(4, -6) - L'(3, -1)\\$

Hence, The coordinates of P' is (9, -6) and L' is (3, -1).

To know more about Translation click the link given below.

brainly.com/question/26298109

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2 years ago

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Expand the expression -7k (k - 3)

nataly862011 [7]

Your answer will be b

3 0

2 years ago

Find the measure of <0

TEA [102]

answer is C

hope that helps^^

7 0

3 years ago

You used a 35% off coupon and purchased a skateboard for 55.25. What was the original price of the skateboard?

Firlakuza [10]

Answer: It should be 74.5875

Step-by-step explanation: If you did 0.35*55.25= you should get a number then if you add that with the discounted price, $55.25, you should get 74.5875

7 0

3 years ago