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grigory [225]
3 years ago
14

Someone please help

Mathematics
1 answer:
KIM [24]3 years ago
6 0

Answer:

Step-by-step explanation:

Exponential function representing final amount with compound interest compounded continuously,

A=Pe^{rt}

Here, A = Final amount

P = principal amount

r = Rate of interest

t = Duration of investment

For P = $9600

r = 6%

A = 2 × 9600 = $19200

By substituting these values in the formula,

19200=9600(e)^{0.06\times t}

2=e^{0.06t}

ln(2)=ln(e^{0.06t})

ln(2) = 0.06t

t = \frac{0.693147}{0.06}

t = 11.55245

t ≈ 11.5525 years

Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.

Therefore, $960000 will get doubled in 11.5525 years.

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what is the quotient when x3 − 5x2 2x 5 is divided by x − 2? x2 − 3x − 4 x2 − 7x 16 x2 − 3x − 4 − 3 over the quantity of x minus
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<span><u><em>The correct answer is: </em></u>
x</span>²<span>-3x-4 -</span>\frac{3}{x-2}<span>.

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To divide these polynomials, the dividend, x</span></span>³<span><span>-5x</span></span>²<span><span>+2x+5, goes under the box, and the divisor, x-2, goes outside of the box.

We first want to find what we multiply x by to make x</span></span>³<span><span>; x*x</span></span>²<span><span>=x</span></span>³<span><span>, so we write x</span></span>²<span><span> over -5x</span></span>²<span><span> in the box.
 
<u>Now we multiply our divisor, x-2, by x</u></span></span><u>²</u><span><span><u>: </u>
x*x</span></span>²<span><span>=x</span></span>³<span><span>
-2*x</span></span>²<span><span>=-2x</span></span>²<span><span>.

This goes under x</span></span>³<span><span>-5x</span></span>²<span><span> in the box.

<u>Now we subtract: </u>
(x</span></span>³<span><span>-5x</span></span>²<span><span>)-(x</span></span>³<span><span>-2x</span></span>²<span><span>)=-3x</span></span>²<span><span>.

This goes below the 2x</span></span>²<span><span> we wrote, and we bring down 2x.

Now we see what we multiply x by to make -3x</span></span>²<span><span>;
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<u>We multiply our divisor, x-2, by -3x: </u>
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Write this below 6x. Bring down +5.

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