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3 years ago

$43.68532 rounded to the nearest dollar is?

Mathematics

1 answer:

Sedaia [141]3 years ago

8 0

Note that when rounding, if the number is:

5 or greater, round up

4 or less, round down

43.68532 rounded to the nearest dollar is 44, as 6 rounds up

$44 is your answer

hope this helps

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Find coordinates for x+5y=10 and 3x+5y=0. I need to know how to do this plz explain.

maks197457 [2]

Answer:

(-5,3)

Step-by-step explanation:

<em><u>Method</u></em>

There are several ways you can do this, but one of the best ways is to use a graphing coordinate calendar. The most popular one is Desmos Graphing Calculator. I've attached an image of my work below using the system.

<u><em>Answer</em></u>

As you can see, both equations intersect at a certain coordinate point. This coordinate point is the point you need for the answer. The intersection is (-5,3).

I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!

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3 years ago

Read 2 more answers

A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the equipment was $14 comma 550

timama [110]

Answer:

$\frac{dV(t)}{dt} =$ - 1675.38

Step-by-step explanation:

In 2017, the vakue of the kitchen equipment was $14550

V(0)=$14550

Its value after then was modelled by $V(t)=14550e^{-0.158t$

We are required to find the rate of change in value on January 1, 2019

$V(t)=14550e^{-0.158t$

$\frac{dV(t)}{dt} =\frac{d}{dt}14550e^{-0.158t$

$\frac{dV(t)}{dt} =14550 \frac{d}{dt}e^{-0.158t$

$\\Let u= -0.158t,\frac{du}{dt}=-0.158$

$\frac{dV(t)}{dt} =14550 \frac{d}{du}e^u\frac{du}{dt}$

$\frac{dV(t)}{dt} =14550 X -0.158 e^{-0.158t}=-2298.9e^{-0.158t}$

In 2019, i.e. 2 years after, t=2

The rate of change of the value

$\frac{dV(t)}{dt} =-2298.9e^{-0.158X2}$

= $\frac{dV(t)}{dt} =-2298.9e^{-0.316}$ = - 1675.38

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3 years ago

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skelet666 [1.2K]

The sample of the population is 100 students since they acquired answers from students from middle school and high school, having 50 students each school. 50 + 50 = 100 students as the sample. The total population for either or both of the schools is/are undetermined.

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4 years ago

Read 2 more answers

Please help! Will give brainliest!

const2013 [10]

The equation in point-slope form: y - y₁ = m(x - x₁)

slope: m = -2

point: (4, -5) ⇒ x₁ = 4, y₁ = -5

Therefore, the equation of the line in point-slope form:

The equation in slope-intercept form: y = mx + b

Parallel lines has the same slope, so:

y = 4x + 2 ⇒ a = 4

If a line passes through the point <em>(x₁, y₁) </em>then the equation y<em>₁</em> = mx<em>₁</em> + b is true.

(4, 6) ⇒ x₁ = 4, y₁ = 6

So: 6 = 4·4 + b ⇒ b = -10

Therefore the equation:

a = 3

(-1, 1) ⇒ x₁ = -1, y₁ = 1

So: 1 = 3·(-1) + b ⇒ b = 4

The equation:

The product of slopes of perpendicular lines is -1.

2x - 7y = 1 ⇒ 7y = -2x + 1 ⇒ y = -²/₇x + ¹/₇

-²/₇×m = -1 ⇒ m = ⁷/₂

(0, -4) ⇒ x₁ = 0, y₁ = -4

-4 = ⁷/₂·0 + b ⇒ b = -4

The equation:

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3 years ago

Factorise 2x^2 -x-21

yaroslaw [1]

Answer:

(x + 3) × (2x - 7)

Step-by-step explanation:

2x² - x - 21

Write as a difference

2x² + 6x - 7x - 21

Factor the expressions

2x × (x + 3) - 7 (x + 3)

Factor the expression

(x +3) × (2x - 7)

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