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3 years ago

How much is a 15-percent down payment on a purchase price of $205,000?

Mathematics

1 answer:

schepotkina [342]3 years ago

6 0

Answer: Option (C) is the correct answer.

Step-by-step explanation:

Amount of purchase is give as $205,000.

We have to calculate 15% of $205,000. The value 15% can be written as follows.

15% = $\frac{15}{100}$

or, 0.15

Thus, calculate the 15% of $205,000 as follows.

0.15 × 205,000

= 30,750

Thus, we can conclude that $30,750 is the 15-percent down payment on a purchase price of $205,000.

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Which of these shows the complete factorization of 6x^2y^2-9xy-42

sineoko [7]

Answer:

3 • (2xy - 7) • (xy + 2)

Step-by-step explanation:

(((2•3x2) • y2) - 9xy) - 42

6x2y2 - 9xy - 42 = 3 • (2x2y2 - 3xy - 14)

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3 years ago

Your jewelry business orders $1320 in supplies each month. In each month, you can usually sell an earring/ring set for about $55

steposvetlana [31]

Answer:

Given,

The jewelry business orders $ 1320 in supplies each month.

That is, the invested amount = $ 1320,

Also, the selling price of each earring/ring set = $ 55,

Part 1 : Let x be the number of set that have been sold each month to break even ( in which revenue and invested amount are equal )

So, Total revenue ( the cost of x sets) = 55x,

⇒ 55x = 1320

Divide both sides by 55,

We get,

x = 24

Hence, 24 sets are needed to sell each month to break even.

Part 2 : Let y be the number of sets in which the profit is $ 715,

Total revenue = 55x

Profit = Total revenue - invested amount

⇒ 55x - 1320 = 715,

⇒ 55x = 715 + 1320

⇒ 55x = 2035

⇒ x = 37

Hence, 37 sets are sold for the total profit of $715.

Part 3 :

Revenue in selling 7 sets = 55 × 7 = $ 385

Profit = $ 385 - $ 1320 = - $ 935

Hence, the profit is - $ 935 after selling 7 sets.

8 0

3 years ago

3t-8 I’m not sure pls help me

densk [106]

Answer: 3t-8

Step-by-step explanation:

<em>3t-8 is the answer because there are no like terms.</em>

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3 years ago

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

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3 years ago

TIME REMAINING

alekssr [168]

The solution of the equations is (-2, -1)

<h3>System of equation:</h3>

2x - 3y = -1

11x - 9y = -13

Using elimination method let multiply the first equation by -3.

Therefore,

-6x + 9y = 3

11x - 9y = -13

5x = -10

x = -10 / 5

x = -2

let's find y as follows;

2(-2) - 3y = -1

-4 - 3y = -1

-3y = -1 + 4

-3y = 3

y = 3 / -3

y = -1

learn more on system of equation here: brainly.com/question/1451150

6 0

2 years ago

Read 2 more answers