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erastovalidia [21]
3 years ago
11

Natalie is standing 10 feet from the base of a flagpole. Her angle of elevation to the top of the pole is 61o; how tall is the f

lagpole if Natalie’s eyes are 5 feet from the ground? Round to the nearest tenth of a foot.
Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

560

Step-by-step explanation:

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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.

8 0
3 years ago
Leila puts an integer into the "In" box of each machine.
kykrilka [37]

The machines represent equivalent expressions.

The output produced by both machines is 372

The equation represented on machine A is:

\mathbf{y = 2(5x + 3) - 24}

The equation represented on machine B is:

\mathbf{y = 4(2(x + 11) - 7)}

Where: x and y represent the inputs and the outputs, respectively

When the outputs are the same, it means:

\mathbf{y = y}

So, we have:

\mathbf{2(5x + 3) - 24 = 4(2(x + 11) - 7)}

Open brackets

\mathbf{10x + 6 - 24 = 8x + 88 - 28}

\mathbf{10x - 18 = 8x + 60}

Collect like terms

\mathbf{10x - 8x = 18 + 60}

\mathbf{2x = 78 }

Divide both sides by 2

\mathbf{x = 39 }

Substitute 39 for x in \mathbf{y = 2(5x + 3) - 24}

\mathbf{y = 2 \times (5 \times 39 + 3) - 24}

\mathbf{y = 372}

Hence, the output produced by both machines is 372

Read more about equivalent expressions at:

brainly.com/question/15715866

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3 years ago
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3 years ago
Giving Brainliest!
zavuch27 [327]
It is the first option- 12 times one fourth the quotient of 6 and 2
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2 years ago
What would 2(x+5)=16 be on a number line
Amiraneli [1.4K]

Answer:

3

Step-by-step explanation:

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3 years ago
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