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SVETLANKA909090 [29]
3 years ago
7

6. Ria purchased a car for

Mathematics
1 answer:
Alborosie3 years ago
5 0

9514 1404 393

Answer:

  a) $15,779.70

  b) $13,679.70

  c) $210.92

Step-by-step explanation:

a) When tax is added, the total cost is ...

  total = price × (1 +tax rate)

  total = $14,775 × 1.068 = $15,779.70

__

b) The amount financed is the difference between the total cost and the down payment.

  financed = total - down35

  financed = $15,779.70 -2100 = $13,679.70

__

c) The monthly payment is found using the amortization formula. It can also be found using any of a number of financial calculators, spreadsheets, or apps.

  A = P(r/12)/(1 -(1 +r/12)^-n) . . . . annual rate r, n monthly payments, principal P

  A = $13,679.70(0.035/12)/(1 -(1 +0.035/12)^-72) ≈ $210.92

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2x=50   x=25

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AB passes through A(-3,0) and B(-6,5). what is the equation of the line that passes through the origin and is parallel to AB?
vaieri [72.5K]

Answer:

  y = -5/3x   or   5x +3y = 0

Step-by-step explanation:

To write the equation of a line through the origin, we need only find its slope. It is parallel to the line through the given points, so will have the same slope.

<h3>Slope</h3>

The slope of a line through points (x1, y1) and (x2, y2) is given by the formula ...

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For the given points, the slope is ...

  m = (5 -0)/(-6 -(-3)) = 5/(-3) = -5/3

<h3>Equation</h3>

The line trough the origin has a y-intercept of zero, so its equation will be ...

  y = mx

For the slope we found, the desired equation is ...

  y = -5/3x

<h3>Standard form</h3>

If we multiply by 3 and add 5x, we have ...

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  5x +3y = 0 . . . . . . standard form equation of the line

3 0
1 year ago
Situation: Find the substance's half-life, in days. Round your answer to the nearest tenth. A 33 gram sample of a substance that
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Answer:

1051 or..

10.51

Step-by-step explanation:

Since 33=30 and 0.1081 is supposed to be as a percentage since its already a  decimal you could just round it and make it into a fraction then once you get the answer to the fraction it would either be 1081 since 0.1081 as a fraction is 1081/10000 or you could make into 10.81 as a decimal but after that you subtract "30 - 1,081" or 10.81 -30" either one of them and each of those numbers would give you the same exact number. Answer: 1051 or as a decimal 10.51

8 0
3 years ago
The volume of a cone is increasing at the rate of 28pi cubic units per second. At the instant when the radius of the cone is 3 u
Ivanshal [37]

Answer:

(a) 3<em>π</em>

(b) 28/3

(c) 9<em>π</em>/28

Step-by-step explanation:

The volume of a cone is given by

V = \frac{1}{3} \pi r^2 h

<em>r</em> is the radius, <em>h</em> is the height.

From the question,

\dfrac{dV}{dt} = 28\pi

When <em>r</em> = 3, <em>V</em> = 12<em>π</em> and

\dfrac{dr}{dt} = 0.5

(a)

The area of the base (a circle) = \pi r^2

\dfrac{dA}{dr} = 2\pi r

\dfrac{dA}{dt} = \dfrac{dA}{dr} \cdot\dfrac{dr}{dt}

\dfrac{dA}{dt} = 2\pi \times 3 \times0.5= 3\pi

(b)

\dfrac{dV}{dh} = \frac{1}{3} \pi r^2

\dfrac{dV}{dt} = \dfrac{dV}{dh} \cdot\dfrac{dh}{dt}

\dfrac{dh}{dt} = \dfrac{dV}{dt}\div \dfrac{dV}{dh} = \dfrac{28\pi}{\frac{1}{3}\pi\times3^2 } = \dfrac{28}{3}

(c)

\dfrac{dA}{dh} = \dfrac{dA}{dt}\div\dfrac{dh}{dt} = \dfrac{3\pi}{28/3} = \dfrac{9\pi}{28}

5 0
3 years ago
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