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3 years ago

Charlie ran 5 miles in 51.5 minutes. Use the equation 5r=51.5 to find r, the average rate he ran.

Mathematics

2 answers:

jenyasd209 [6]3 years ago

6 0

5r = 51.5
r = 51.5 / 5
r = 10.3

mixer [17]3 years ago

4 0

Hi! For this question, all you have to do is divide 51.5 and 5r by 5.

5r = 51.5
--- -----
5 5

The 5r will cancel out, and leave you with:
r = 10.3

Hope that helped!

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F(x)= x^2 -16x+63 find the x-intercepts of this function

Ahat [919]

Answer:

The x-intercepts will be, x= 7 or x =9

Step-by-step explanation:

f(x)= x^2 -16x+63

At the x-intercept, f(x) is zero.

Therefore;

x² - 16x + 63 = 0

solving it quadratically;

product = 63

Sum = -16

x² - 9x - 7x + 63 = 0

x(x-9) - 7( x-9) = 0

(x-7) (x-9) = 0

x = 7 or x = 9

Therefore;

The x-intercepts will be, x= 7 or x =9

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LiRa [457]

Distance between library and school = 0.9 miles
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3 years ago

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A $250,000 home loan is used to purchase a house. The loan is for 30 years and has a 5.4% APR. Use the amortization formula to d

wlad13 [49]

$\bf ~~~~~~~~~~~~ \textit{Amortized Loan Value}
\\\\
pymt=P\left[ \cfrac{\frac{r}{n}}{1-\left( 1+ \frac{r}{n}\right)^{-nt}} \right]
\\\\\\
~~~~~~
\begin{cases}
P=
\begin{array}{llll}
\textit{original amount deposited}\\
\end{array}\to &250000\\
pymt=\textit{periodic payments}\\
r=rate\to 5.4\%\to \frac{5.4}{100}\to &0.054\\
n=
\begin{array}{llll}
\textit{times it compounds per year}\\
\textit{since the payments are}\\
\textit{monthly, then twelve}
\end{array}\to &12\\
t=years\to &30
\end{cases}
$

$\bf pymt=250000\left[ \cfrac{\frac{0.054}{12}}{1-\left( 1+ \frac{0.054}{12}\right)^{-12\cdot 30}} \right]
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pymt=250000\left[ \cfrac{0.0045}{1-\left( 1.0045\right)^{-360}} \right]
\\\\\\
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irakobra [83]

X =1 I had this question

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Maksim231197 [3]

Answer:

Step-by-step explanation:

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