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Nimfa-mama [501]

2 years ago

10

3. Michel invests $850 at 7%/a simple interest. How long will he

1 answer:

Kipish [7]2 years ago

5 0

$~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill&\$200\\ P=\textit{original amount deposited}\dotfill & \$850\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years \end{cases} \\\\\\ 200=850(0.07)t\implies \cfrac{200}{850(0.07)}=t\implies \stackrel{\textit{about 3 years, 4 months and 10 days}}{3.36\approx t}$

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What is the probability of getting either a nine or an ace when drawing a single card from a deck of 52 cards?

Flura [38]

probability of drawing ace: 4/52 = 1/13

probability of drawing 9: 4/52 = 1/13

probability of drawing ace or 9: 1/13 + 1/13 = 2/13 or ~15.4%

8 0

3 years ago

A square fits exactly inside a circle with each of its vertices being on the circumference of the circle.

swat32

Answer:

The side of the square is 5.971 cm

Step-by-step explanation:

If the square fits the circle exactly, then its diagonal is equal to the diameter of the circle. Since the side of the square has a length of $x$ cm, then it's diagonal have the length of $x\sqrt2$ cm. Using the circle's area we can find the diagonal of the square, as shown below:

$area = \pi*r^2\\56 = pi*r^2\\r^2 = \frac{56}{\pi}\\r = \sqrt{\frac{56}{\pi}}\\r = 4.222$

Since the diameter of the circle is the same as the diagonal of the square, then:

$x\sqrt{2} = 2*r \\x = \frac{2*r}{\sqrt{2}}\\x = \frac{2*4.222}{\sqrt{2}}\\x = 5.971$

The side of the square is 5.971 cm

8 0

3 years ago

Read 2 more answers

Mr Thompson please answer. This is hw that is for mathematics Algebra.

ddd [48]

Answer:

question 6:

$x^{2}$ + 9x + 14 and (x + 2) (x + 7)

question 7:

$x^{2}$ - 7x + 10 and (x - 2)(x - 5)

question 8:

$x^{2}$ - 9x + 20 and (x - 4)(x - 5)

question 9:

(x + 1) (x - 17)

$x^{2}$ - 17x + 1x - 17

$x^{2}$ - 16x - 17

question 10:

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6 0

3 years ago

Please help me Algebra 1

Oduvanchick [21]

Answer:

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b. $\sqrt{x^n} = x^\frac{(n-1)}{2}\sqrt{x}$

Step-by-step explanation:

a) When <em>n </em>is even, then it is divisible by 2. Because of this, you can write:

$\sqrt{x^n} = (x^n)^\frac{1}{2}$

$\sqrt{x^n} = x^\frac{n}{2}$

b) When <em>n </em>is odd, then <em>n - 1 </em> is even. This would make it divisible by 2, and there would be a remainder of 1, so we can write:

$\sqrt{x^n} = (x^n^-^1^+^1) ^\frac{1}{2}$

$\sqrt{x^n} = (x^n^-^1$ × $x)^\frac{1}{2}$

$\sqrt{x^n} = x^\frac{(n-1)}{2}$ × $x^\frac{1}{2}$

$\sqrt{x^n} = x^\frac{(n-1)}{2}\sqrt{x}$

8 0

3 years ago

Read 2 more answers

Options <br> A)117<br> B)39<br> C)3<br> D)63

hichkok12 [17]

Answer:

B. 39

Step-by-step explanation:

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4 0

3 years ago