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3 years ago

Plz help!!!

Mathematics

2 answers:

jeka943 years ago

8 0

Answer:

Yes Billy is correct

Step-by-step explanation:

Think of a pizza in 4 peices on pizza had 1 clice taken out from 4 and one has 3 pieces have been taken away from 4. So therfore -3/4 is less.

GarryVolchara [31]3 years ago

7 0

Not sure just need points

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Which following fractions is equivalent to 0.45

vladimir1956 [14]

0,45= $\frac{45}{100} =\frac{9}{20}$

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3 years ago

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A firm buys 12 file cabinets at $140 each, with payment in full due in 90 days. How much must the firm deposit now to have enoug

anyanavicka [17]

Answer:

firm deposit is $1667.50

Step-by-step explanation:

given data

buys 12 file = $140

time = 90 days

interest = 3%

solution

we get here return on money over 90 day period is

we know Return on 360 days = 3%

return on money over 90 day = 3% ÷ 4 = 0.75%

we consider here required amount = x

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3 years ago

The ratio between the length and the breadth of the park is 3:2. if a man cycling along the boundary of the park at the speed 12

Ilia_Sergeevich [38]

D is answer.
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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>:

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