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3 years ago

What is the cube root of (5x^3)(4x)^3?

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

4 0

Answer:

125 for the first one and the second one is 64

Step-by-step explanation:

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The savings account offering which of these APRs and compounding periods offers the best APY?

ANTONII [103]

A)

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
\left. \qquad \qquad\right. \left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3.1196\%\to \frac{3.1196}{100}\to &0.031196\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{semi-annually, thus twice}
\end{array}\to &2
\end{cases}
\\\\\\
\left. \qquad \qquad\right. \left(1+\frac{0.031196}{2}\right)^{2}-1$

b)

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
\left. \qquad \qquad\right. \left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3.1184\%\to \frac{3.1184}{100}\to &0.031184\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{quarterly, thus four times}
\end{array}\to &4
\end{cases}
\\\\\\
\left. \qquad \qquad\right. \left(1+\frac{0.031184}{4}\right)^{4}-1$

c)

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
\left. \qquad \qquad\right. \left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3.1095\%\to \frac{3.1095}{100}\to &0.031095\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{daily, assuming 365 days}
\end{array}\to &365
\end{cases}
\\\\\\
\left. \qquad \qquad\right. \left(1+\frac{0.031095}{365}\right)^{365}-1$

d)

$\bf \qquad \qquad \textit{Annual Yield Formula}
\\\\
\left. \qquad \qquad\right. \left(1+\frac{r}{n}\right)^{n}-1
\\\\
\begin{cases}
r=rate\to 3.1172\%\to \frac{3.1172}{100}\to &0.031172\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{monthly, thus twelve times}
\end{array}\to &12
\end{cases}
\\\\\\
\left. \qquad \qquad\right. \left(1+\frac{0.031172}{12}\right)^{12}-1$

8 0

4 years ago

Read 2 more answers

What is the equation for a slope -1 through the point (2,0)?

RUDIKE [14]

Answer:

y = - x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 1, thus

y = - x + c ← is the partial equation

To find c substitute (2, 0) into the partial equation

0 = - 2 + c ⇒ c = 0 + 2 = 2

y = - x + 2 ← equation of line

4 0

3 years ago

Lindsay is buying an iPad that was originally $500 but is now a discount 45% of what is her new discount price

serg [7]

Answer:

answer: $225

Step-by-step explanation:

500 dollars

45% off

you have to change the r5 into a decimal

(always us the discout go divide by 100)

45/100

.45

$500×.45=$225

3 0

3 years ago

Here's the pic for #14

gregori [183]

Where because I do not see it

7 0

3 years ago

The formula to covert F to C Is C=5/9(F-32 convert 50C to F

Leviafan [203]

So, the formula is C=5/9(F-32)
You would substitute the 50C for C:
   50 = 5/9 (F - 32)
Divide both sides by 5/9 (or multiply by the reciprocal)
   90 = F - 32
Add the 32 to both sides:
   122 = F
So, 50C = 122F

8 0

3 years ago