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3 years ago

11

The value of a vinyl record that Katie purchased in 2016 was $42.20. The value of the record was expected to increase by 3.25% p

er year. How much more is the projected value of the record in 2018 than in 2017?

1 answer:

AVprozaik [17]3 years ago

8 0

Answer:

$1.41

Step-by-step explanation:

2016 = $42.20

2017 = $43.57

2018 = $44.98

44.98 - 43.57

=1.41

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tresset_1 [31]

Because when you multiply the 9 by x you get 9x and when you multiply the 9 by 3 you get 27. So then your final answer would be 9x + 27.
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1 year ago

What do you get when you round 490.625 to the nearest tenth

VARVARA [1.3K]

Answer:

When you round 490.625 to the nearest tenth its 490.6.

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3 years ago

Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

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3 years ago

3/5 with an exponent of 4

nordsb [41]

Step-by-step explanation:

$\text{If is}\ \dfrac{3}{5}^4,\ \text{then}\ \dfrac{3}{5}^4=\dfrac{3\cdot3\cdot3\cdot3}{5}=\dfrac{81}{5}=16\dfrac{1}{5}\\\\\text{If is}\ \left(\dfrac{3}{5}\right)^4=\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)\left(\dfrac{3}{5}\right)=\dfrac{3\cdot3\cdot3\cdot3}{5\cdot5\cdot5\cdot5}=\dfrac{81}{625}$

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3 years ago

La oración 3+ (5 + 2) = (5 + 2) +3 muestra qué propiedad?

Flauer [41]

The expression represents commutative property of addition

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