3 years ago

After selling a dozen copies of the daily

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

7 0

I think the newsstand has 87 papers in the beginning of the day

Kay [80]3 years ago

6 0

The answer is 87 copies:)

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The sun is behind a building and casting a shadow. How long is the shadow if the building is 25 feet tall and the angle, of the

Nana76 [90]

ANSWER

The length of the shadow is 49 ft to nearest feet.

EXPLANATION

We can find the length of the shadow using the tangent ratio.

Recall that,

$\tan(27 \degree) = \frac{opposite}{adjacent}$
From the diagram, the length of the shadow is the side of the triangle that is adjacent to the 27° angle

$\tan(27 \degree) = \frac{45}{adjacent}$

This implies that,

$adjacent = \frac{45}{tan27 \degree}$

$adjacent = 49 .065$

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3 years ago

Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1

crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is $r=10\%$

Future value is given by $s=1000e^{0.1t}$

For the investment to double itself, i.e. $s=2000$

$\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}$

It takes around 6.93 years to double the investment.

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3 years ago

Why is the inequality x≤6 equivalent to the inequality x−5≤6−5

Monica [59]

Two inequalities are equivalent if they have the same set of solutions.

x - 5 ≤ 6 - 5

x - 5 ≤ 1 |add 5 to both sides

x ≤ 6

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