Which expression is another way to show 9/2?

Mathematics

1 answer:

Mashutka [201]2 years ago

7 0

9 over 2, or 9/2 would also be 9 divided by 2

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Find the equation of a line perpendicular to x=6+6y that passes through the point (-8,6)

alexgriva [62]

Answer:

y = -6x - 42

Step-by-step explanation:

First solve for y in x = 6 + 6y.

6y + 6 = x

6y = x - 6

6/6y = x/6 - 6/6

y = 1/6x - 1 the slope is 1/6.

Perpendicular lines slopes are negative reciprocals of each other.

So the new equation will have the slope of -6 ( the negative reciprocal of 1/6)

Next solve for "b" by using y = mx + b and the new slope of -6 and the point (-8,6)

y = mx + b

6 = -6(-8) + b

6 = 48 + b

-42 = b

The equation of the line is y = -6x - 42

8 0

2 years ago

You borrow 125,000 for 25 years at an APR of 6.5%. What will be your monthly payment?

Morgarella [4.7K]

$\bf \qquad \qquad \textit{Amortized Loan Value}
\\\\
pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]
\\\\\\\\
\qquad 
\begin{cases}
P=
\begin{array}{llll}
\textit{original amount}\\
\end{array}\to &
\begin{array}{llll}
125000
\end{array}\\
pymt=\textit{periodic payments}\\
r=rate\to 6.5\%\to \frac{6.5}{100}\to &0.065\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{APR, meaning once}
\end{array}\to &1\\

t=years\to &25
\end{cases}$