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Naddik [55]
3 years ago
12

Points $A$, $B$, $C$, and $D$ are located on a line. $A$ is at $(-6,13)$, $D$ is at $(2, 14)$, $C$ is the midpoint of $\overline

{AD}$ and $B$ is the midpoint of $\overline{AC}$. What is the sum of the coordinates of point $B$
Business
1 answer:
dedylja [7]3 years ago
4 0

Answer:

9.25

Explanation:

∵ The coordinates of midpoint of a line segment having end points (x_1,y_1) and (x_2,y_2) are,

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Given,

The coordinates of A are (-6, 13),

Coordinates of D are (2, 14),

If C is the midpoint of line segment AD,

Then the coordinates of C are,

(\frac{-6+2}{2}, \frac{13+14}{2})

=(\frac{-4}{2},\frac{27}{2})

=(-2, 13.5)

Now, if B is the mid point of line segment AC,

Then the coordinates of B are,

(\frac{-6-2}{2},\frac{13+13.5}{2})

=(\frac{-8}{2}, \frac{26.5}{2})

=(-4, 13.25)

Hence, the sum of the coordinates of B = -4 + 13.25 = 9.25

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Mark tells Leslie that his stereo has quadraphonic speakers because he was told that when he bought it. Leslie buys the stereo,
Gemiola [76]

Answer:

Yes, because the statement was false.

Explanation:

Breach of warranty is defined as a misrepresentation of the quality or type of a product. The seller fails to fulfil a promise or claim made during a transaction.

When a good is being sold there are certain assertions which the seller must stand behind.

In this scenario Mark tells Leslie that his stereo has quadraphonic speakers because he was told that when he bought it.

The fact that the stereo did not have quadrophinic speakers should have been discovered and stated by Mark. The misinformation he got when buying the stereo does not clear him of breach of warranty

6 0
3 years ago
Sheffield Corp. had 205000 shares of common stock, 20300 shares of convertible preferred stock, and $1580000 of 4% convertible b
Ahat [919]

Answer:

Diluted earnings per share for 2021 is: <u>$2.19 per share</u>.

Explanation:

Amount of increase in net income if bonds are converted = Total value of convertible bonds * Bond rate * (100% - Tax rate) = $1580000 * 4% * (100% - 35%) = $41,080

Total earnings available to Equity Shareholders = Net income + Amount of increase in net income if bonds are converted = $599000 + $41,080 = $640,080

Number of shares of common stock = 205,000

Number of common shares obtainable from preferred stock = 39,800

Number of common shares obtainable from convertible bonds = (Total value of convertible bonds / $1,000) * 30 = ($1580000 / $1,000) * 30 = 47,400

Total number of shares outstanding = Number of shares of common stock + Number of common shares obtainable from preferred stock + Number of common shares obtainable from convertible bonds = 205,000 + 39,800 + 47,400 = 292,200

Diluted earnings per share = Total earnings available to Equity Shareholders / Total number of shares outstanding = $640,080 / 292,200 = $2.19 per share

Therefore, we have:

Diluted earnings per share for 2021 is: <u>$2.19 per share</u>.

6 0
2 years ago
The direct materials and direct labor budgets provide information for preparing the
iragen [17]

Answer:

The cash budget is the appropriate answer

Explanation:

When the budgeted direct materials as well as the required  budgeted labor hours are ascertained, the step needs to be taken further in order to know how the costs budgeted fit into overall cash situation of the business.

The suppliers of direct materials would have given the company the maximum number of days that expect cash , in order to meet up with such deadline the company must plan ahead by incorporating the values of such purchases into cash flow projections, the same also applies to cost of direct labor.

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The more​ ________ used, the greater the leverage a company employs on behalf of its owners.
son4ous [18]

The more​ debt used, the greater the leverage a company employs on behalf of its owners.

<h3>What is financial leverage?</h3>

Financial leverage exists as the usage of borrowed money (debt) to finance the purchase of assets with the anticipation that the income or capital gain from the new asset will surpass the cost of borrowing.

<h3>What is financial leverage example?</h3>

An example of financial leverage use contains utilizing debt to buy a house, borrowing money from the bank to begin a store, and bonds issued by companies.

Debt exists as an obligation that requires one party, the debtor, to pay money or other agreed-upon value to another group, the creditor. Debt stands for deferred payment, or sequence of payments, which distinguishes it from an immediate purchase.

To learn more about financial leverage refer to:

brainly.com/question/17099821

#SPJ4

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