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3 years ago

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Mathematics

1 answer:

xeze [42]3 years ago

7 0

Answer:

$1506.75 earned by working 21 hours of the month

Step-by-step explanation:

$71.75 ($ per hour) x 21 (hours) = $1506.75 (total earned for working 21 hours)

I hope this helps :)

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An event has a 35% chance of occurring. What is the probability that the event will NOT occur?

sashaice [31]

65% is what it would be

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3 years ago

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What term is 1/1024 in the geometric sequence,-1,1/4,-1/6..?

Trava [24]

Answer:

$\large\boxed{\text{sixth term is equal to}\ \dfrac{1}{1024}}$

Step-by-step explanation:

The explicit formula for a geometric sequence:

$a_n=a_1r^{n-1}$

$a_n$ - n-th term

$a_1$ - first term

$r$ - common ratio

$r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}$

We have

$a_1=-1,\ a_2=\dfrac{1}{4},\ a_3=-\dfrac{1}{6},\ ...$

The common ratio:

$r=\dfrac{\frac{1}{4}}{-1}=-\dfrac{1}{4}\\\\r=\dfrac{-\frac{1}{6}}{\frac{1}{4}}=-\dfrac{1}{6}\cdot\dfrac{4}{1}=-\dfrac{2}{3}\neq-\dfrac{1}{4}$

<h2>It's not a geometric sequence.</h2>

If $a_3=-\dfrac{1}{16}$ then the common ratio is $r=\dfrac{-\frac{1}{16}}{\frac{1}{4}}=-\dfrac{1}{16}\cdot\dfrac{4}{1}=-\dfrac{1}{4}$

Put to the explicit formula:

$a_n=-1\left(-\dfrac{1}{4}\right)^{n-1}$

Put $a_n=\dfrac{1}{1024}$ and solve for <em>n </em>:

$-1\left(-\dfrac{1}{4}\right)^{n-1}=\dfrac{1}{1024}\qquad\text{use}\ a^n:a^m=a^{n-m}\\\\-\left(-\dfrac{1}{4}\right)^n:\left(-\dfrac{1}{4}\right)^1=\dfrac{1}{1024}\\\\-\left(-\dfrac{1}{4}\right)^n\cdot(-4)=\dfrac{1}{1024}\\\\(4)\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{1024}\qquad\text{divide both sides by 4}\ \text{/multiply both sides by}\ \dfrac{1}{4}/\\\\\left(-\dfrac{1}{4}\right)^n=\dfrac{1}{4096}\\\\\dfrac{(-1)^n}{4^n}=\dfrac{1}{4^6}\qquad n\ \text{must be even number. Therefore}\ (-1)^n=1$

$\dfrac{1}{4^n}=\dfrac{1}{4^6}\iff n=6$

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3 years ago

elisa owns 28% of the grudman corporations . The rest of the shares are owned equally by the remaining six share holders . what

dolphi86 [110]

OK so there is 72% of the company left to share. Divide that by six you get 12.

Each shareholder has 12% of the company.

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3 years ago

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There were 10 bunches of roses and tulips. Each bunch had 5 of the same flowers. There were 2 more bunches of tulips than roses.

Leviafan [203]

Answer:

I think the answer is 12 (sorry if i misunderstood the question)

Step-by-step explanation:

Because if there are 10 things of roses and tulips and then 2 more tulips are added in the question in total thats 12.... 10+2=12

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3 years ago

Please help it’s for a test whoever answers correct I’ll give you a Brainly

WITCHER [35]

Answer:

they both charge the same cost per linear feet

Step-by-step explanation:

It appears that each company has a base charge for installation, which is the dollar value where each line begins at the y-axis. Both lines have the same slope and if you count, the cost is $75 per 5 linear feet.

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3 years ago