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Grace [21]
3 years ago
8

The dollar value vt) of a certain

Mathematics
1 answer:
Llana [10]3 years ago
6 0

if you  would've payed attention you wouldn't ask brainly-

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If $6,000 is invested for six years and seven months at 6% compounded semi-annually, what is the interest that the investment ea
Vera_Pavlovna [14]

Answer: Option (B) is correct.

<em>Given:</em>

<em>P = $6000</em>

<em>r = 6%</em>

<em>t = 6 years and 7 months = 79 months</em>

∵ It is compounded semi-annually

∴ I = P\times(1+\frac{r/2}{100})^{\frac{t}{6} } - P

I = 6000\times(1+\frac{6/2}{100})^{\frac{79}{6} } - 6000

I = 8854.72 - 6000

<em>I = 2854.72</em>

4 0
4 years ago
Let $DEF$ be an equilateral triangle with side length $3.$ At random, a point $G$ is chosen inside the triangle. Compute the pro
umka21 [38]

|\Omega|=(\text{the area of the triangle})=\dfrac{a^2\sqrt3}{4}=\dfrac{3^2\sqrt3}{4}=\dfrac{9\sqrt3}{4}\\|A|=(\text{the area of the sector})=\dfrac{\alpha\pi r^2}{360}=\dfrac{60\pi \cdot 1^2}{360}=\dfrac{\pi}{6}\\\\\\P(A)=\dfrac{\dfrac{\pi}{6}}{\dfrac{9\sqrt3}{4}}\\\\P(A)=\dfrac{\pi}{6}\cdot\dfrac{4}{9\sqrt3}\\\\P(A)=\dfrac{2\pi}{27\sqrt3}\\\\P(A)=\dfrac{2\pi\sqrt3}{27\cdot3}\\\\P(A)=\dfrac{2\pi\sqrt3}{81}\approx13.4\%

8 0
4 years ago
Read 2 more answers
Johnny has a box filled with 10 black marbles and 5 purple marbles what are the odds he pulls to black marbles in a row?
Licemer1 [7]

Answer:

3/7

Step-by-step explanation:

The first black marble is 10/15 and the second is 9/14. Multiply them together to get 3/7 after you simplify it.

4 0
3 years ago
Carl has a rock collection. Of the rocks, 3/8 are quartz and 1/3 are granite. What fraction of Carl's rocks are quartz or granit
hoa [83]

Answer:

\frac{17}{24} <em>of Carl's rocks are quartz or granite</em>

Step-by-step explanation:

<u>Proportions and Fractions </u>

A proportion is expressed as a fraction a/b, where a and b are compared by division. If a=b, the proportion (or ratio) equals 1, if a<b, the ratio is less than 1, and if a>b, the ratio is greater than 1. The proportion of elements of a set to the total number of elements of the set is less than one, and the sum of all them equals 1.

We know 3/8 of Carl's rock collection are quartz and 1/3 are granite. If both subsets of rocks are mutually exclusive or disjoint (cannot happen simultaneously), then the proportion of both is the sum of the fractions.

\displaystyle \frac{3}{8}+\frac{1}{3}=\frac{9+8}{24}=\frac{17}{24}

4 0
3 years ago
Giving best answer the brainliest answer ya hurddddddddddddddd!
Genrish500 [490]
4th answer is the answer for theis question because they are equivalent
7 0
3 years ago
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