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mash [69]
3 years ago
14

Farrah bought a new car in 2016 one year later the car had depreciated in value by 2300 and was worth $20,140 find the value of

her car when she purchased it in 2016
Mathematics
1 answer:
VashaNatasha [74]3 years ago
7 0

Answer:

Farrah purchased the car in 2016 at the price of $22,440.

Step-by-step explanation:

Given:

Cost of the car in 2017 = $20,140

Depreciation in the cost after 2016 was = $2300

To find cost of the car in 2016.

Solution:

Let cost of the car in dollars in 2016 be = x

Depreciation in value after a year was by = $2300

Thus, cost of car in dollars in 2017 will be = Original\ cost-Depreciation\ =x-2300

Given cost of car in 2017 = $20,140

So, we have:

x-2300=20140

Solving for x

Adding 2300 both sides.

x-2300+2300=20140+2300

∴ x=22440

Thus, cost of the car in 2016 was = $22,440

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The Louvre is an art museum in Paris. A glass square base pyramid sits in front of the entrance to the museum. If the pyramid is
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lateral area = 2320 m²

Step-by-step explanation:

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If sinA+cosecA=3 find the value of sin2A+cosec2A​
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Answer:

\sin 2A + \csc 2A = 2.122

Step-by-step explanation:

Let f(A) = \sin A + \csc A, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

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\sin A + \csc A = 3

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By the quadratic formula, we find the following solutions:

\sin A_{1} \approx 2.618 and \sin A_{2} \approx 0.382

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\sin A \approx 0.382

By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

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Then, the values of the cosine associated with that angle is:

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f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}

f(A) = 2.122

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