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2 years ago

Which is equivalent to 3 square root 8^1/4x

Mathematics

2 answers:

viva [34]2 years ago

7 0

$(\sqrt[3]{8})^{\frac{1}{4}x}= 8^{\frac{1}{3}\frac{1}{4}x}=8^{\frac{1}{12}x}=(\sqrt[12]{8})^{x}$

The 3rd choice is appropriate.

Mumz [18]2 years ago

4 0

Answer:

the answer is the third option

Step-by-step explanation:

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Mrs. Stevens wants to have $18,000 in the bank in 3 years. If she deposits $9500 today at 4% compounded quarterly for 3 years, h

serg [7]

$\bf \qquad \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\qquad 
\begin{cases}
A=\textit{current amount}\\
P=\textit{original amount deposited}\to &\$9500\\
r=rate\to 4\%\to \frac{4}{100}\to &0.04\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, 4 quarters a year}
\end{array}\to &4\\

t=years\to &3
\end{cases}$

so.. if she deposits a principal of 9,500 today, compounding quarterly for 3 years, she'll have A amount

how much additional amount? well, 18,000 - A

7 0

2 years ago

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Lina has 12 coins in her purse. D of them are dimes and the rest are quarters.

SVETLANKA909090 [29]

Answer:

she has 12 - D quarters.

She has 24 (12-D) cents in quarters

Step-by-step explanation:

You know that the number of coins, and you know the number of dimes - even if the amount is a variable - you can find the amount of quarters with an equation.

If you knew that Lina had 6 dimes instead of D, you would say 12 - 6 and get the number of quarters. You can do the same thing here.

and If you know Lina has 6 quarters, you could find the amount of money in cents by multiplying 6 by 25. You can do that here too, but with variables and an equation.

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2 years ago

The scatterplot and trend line show a positive correlation between advertising costs and sales. The slope was found using the po

andrey2020 [161]

When x = 6.4, y=117, therefore
15*6.4 + b = 117
b = 117 - 96 = 21

Confirm this value by checking (6.6, 120).
15*6.6 + 21 = 120 (Correct)

Answer: b = 21

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2 years ago

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A sphere of radius 7 in. Is placed inside a rectangular prism with length 15 in., width 18 in., and height 20 in. What is the vo

iragen [17]

Answer:

3964 in³

Step-by-step explanation:

volume of sphere: V = 4/3 πr³

v₁ = 4/3 x 3.14 x 7³ = 1436

volume of prism: v = Bh B = 15 x 18 = 270 h = 20

v₂ = 270 x 20 = 5400

v₂ - v₁ = 5400 - 1436 = 3964 in³

5 0

2 years ago

Joseph would like to make 12 pounds of a coffee blend at a cost of $6.25 per pound. He blends Ground Chicory at $4.40 a

zvonat [6]

Answer:

Ground Chicory = 7 pounds and Jamaican Blue Mountain = 5 pounds

Step-by-step explanation:

Joseph would like to make 12 pounds of a coffee blend at a cost of $6.25 per pound.

Total cost of 12 pounds of coffee blend = 6.25 × 12 = $75

Ground Chicory = $4.40 per pound

Jamaican Blue Mountain = $8.84 per pound

Total weight of coffee blend = 12 pounds

Total amount of coffee blend = $75

Let the weight of Chicory be 'x'

The weight of Blue mountain be (12 - x)

75 = 4.40x + 8.84(12-x)

75 = 4.40x + 106.08 + - 8.84x

75 = (4.40x +-8.84x) + 106.08

75 = - 4.44x + 106.08

-4.44x = 75 - 106.08

-4.44x = -31.08

x = 7 pounds

and (12 - x) = 12 - 7 = 5 pounds

Therefore, Ground Chicory would be used 7 pounds and Jamaican Blue Mountain would be used 5 pounds.

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2 years ago

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