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3 years ago

Is 2 the solution to x to the third minus x minus 6 equals 0

Mathematics

1 answer:

Natali [406]3 years ago

5 0

X actually equals the cube root of 6
${x}^{3} - 6 = 0 \\ {x}^{3} = 6 \\ x = \sqrt[3]{6}$

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You are saving money to buy an electric guitar. You deposit $1000 in an account that earns interest compounded annually. The exp

Katena32 [7]

Let's move like a crab, backwards some.

after 2 years?

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$1000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &2
\end{cases}
\\\\\\
A=1000\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=1000(1.03)^2$

after 3 years?

$\bf ~~~~~~ \textit{Compound Interest Earned Amount}
\\\\
A=P\left(1+\frac{r}{n}\right)^{nt}
\quad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{original amount deposited}\to &\$1000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{annually, thus once}
\end{array}\to &1\\
t=years\to &3
\end{cases}
\\\\\\
A=1000\left(1+\frac{0.03}{1}\right)^{1\cdot 3}\implies A=1000(1.03)^3$

is that enough to pay the $1100?

now, let's write 1000(1+r)² in standard form

1000( 1² + 2r + r²)

1000(1 + 2r + r²)

1000 + 2000r + 1000r²

1000r² + 2000r + 1000 <---- standard form.

8 0

3 years ago

You roll a 6 sided dice what is the probability of rolling a number greater than two and then rolling a number less than three

Alexandra [31]

First answer is 4 chances and second answer is 2 chances

5 0

3 years ago

Can someone help me?! I don’t understand how to do these problems

Dmitriy789 [7]

Answer:

first do 9x40 and get your answer then do 18x3 and get that answer and then add to do answers together

7 0

3 years ago

Read 2 more answers

a whisper volume as a room that allows two people to stand on opposite side of the template luckily shape long and hear each oth

Yakvenalex [24]

Answer: 120 ft

<u>Step-by-step explanation:</u>

The Ellipse equation is: $\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1$ where

(h, k) is the center
"a" is the horizontal radius
"b" is the vertical radius
c is the distance from the center to the foci: |a² - b²| = c²

Given: horizontal diameter = 122 → horizontal radius = 61 = a

vertical diameter = 22 → vertical radius = 11 = b

Foci (c): 61² - 11² = c²

3721 - 121 = c²

3600 = c²

±60 = c

Let (h, k) = (0, 0)

Then the foci are located at -60 and +60.

The distance between them is 60 + 60 = 120

3 0

3 years ago

At lunchtime 5/6 of students buy juice. Of those students 3/4 buy orange juice. What fraction of the students buy orange juice?

IrinaK [193]

5/6 × 3/4

=5/2 × 1/4

=5/8

Answer

5/8 students buy orange juice

7 0

3 years ago