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4 years ago

Evaluate. –345 + 562 – (–209)

Mathematics

1 answer:

Elena L [17]4 years ago

6 0

Subtracting a negative is the same as adding a positive.
–345 + 562 – (–209)
–345 + 562 + 209
217 + 209
426

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All real numbers between −14 and 14 inclusive

Vladimir79 [104]

Answer:

-13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13

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3 years ago

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How tall is a building that casts a 78-ft shadow when the angle of elevation of the sun is 30 degrees?

Marta_Voda [28]

Answer: $45.03\ ft$

Step-by-step explanation:

Given

The length of the shadow is 78 ft

the angle of elevation is $\theta =30^{\circ}$

Suppose the height of the building is $h$

From the figure, we can write

$\tan 30^{\circ}=\dfrac{h}{78}\\\\h=78\tan 30^{\circ}\\\\h=45.03\ ft$

The height of the building is 45.03 ft

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3 years ago

Hometown Grocery, Inc. has 50 comma 000 shares of common stock outstanding and 4 comma 000 shares of preferred stock outstandin

Anit [1.1K]

Answer:

$0.36 per share

Step-by-step explanation:

The data provided in the question are as follows

Common stock outstanding = 50,000 shares

Preferred stock outstanding = 4,000 shares

Par value of common stock = $4

Interest rate and par value of preferred stock = 9% and $100

Total dividend payment declared = $54,000

So, the amount of dividend for each share of common stock is

= (Total dividend payment declared - Preferred stock outstanding × interest rate × par value) ÷ (common stock outstanding)

= ($54,000 - 4,000 × $100 × 9%) ÷ (50,000 shares)

= ($54,000 - $36,000) ÷ (50,000 shares)

= $18,000 ÷ 50,000 shares

= $0.36 per share

7 0

3 years ago

Solve x^2 − 4x = 14.

DENIUS [597]

Minus 14 from both sides
x²-4x-14=0
use quadratic formula because we cant factor

for
ax²+bx+c=0
$x= \frac{-b+/- \sqrt{b^2-4ac} }{2a}$

so
1x²-4x-14=0
a=1
b=-4
c=-14

$x= \frac{-(-4)+/- \sqrt{(-4)^2-4(1)(-14)} }{2(1)}$
$x= \frac{4+/- \sqrt{16+56} }{2}$
$x= \frac{4+/- \sqrt{72} }{2}$
$x= \frac{4+/- 6\sqrt{2} }{2}$
$x= 2+/- 3\sqrt{2}$

the solutions are
x=2+√3 and
x=2-√3

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3 years ago

Which could be the resulting equation when elimination is used to solve the given system of equations?

Katena32 [7]

there are no mutiple choices

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3 years ago

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