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3 years ago

What is the sum of 1/4 and 1/7

Mathematics

2 answers:

FromTheMoon [43]3 years ago

7 0

$\frac{1}{4} + \frac{1}{7} = \frac{1\cdot7}{4\cdot7} + \frac{1\cdot4}{7\cdot4} = \frac{7+4}{28} = \frac{11}{28}$

never [62]3 years ago

3 0

$\frac{1}{4}+\frac{1}{7}\\\\LCD(\frac{1}{4};\frac{1}{7})=28\\\\\frac{1}{4}=\frac{7}{28};\ \frac{1}{7}=\frac{4}{28}\\\\\frac{1}{4}+\frac{1}{7}=\frac{7}{28}+\frac{4}{28}=\frac{11}{28}$

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-17 + 5x = 5(x - 5) + 8

Troyanec [42]

Answer:

x= -1.83

Step-by-step explanation:

8 0

3 years ago

Please Help! Algebra 2!

eduard

Answer:

The interest rate of the account is $3\%$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=14\ years\\ P=\$1,863\\ A=\$2,830.97\\n=4$

substitute in the formula above and solve for r

$\$2,830.97=\$1,863(1+\frac{r}{4})^{4*14}$

$(2,830.97/1,863)=(1+\frac{r}{4})^{56}$

$(2,830.97/1,863)^{1/56}=(1+\frac{r}{4})$

$[(2,830.97/1,863)^{1/56}-1]=\frac{r}{4}$

$r=4*[(2,830.97/1,863)^{1/56}-1]\\ \\r= 0.03$

Convert to percent

$r= 0.03*100=3\%$

8 0

3 years ago

The following table shows the percent increase of donations made on behalf of a non-profit organization for the period of 1984 t

pashok25 [27]

Giving the table below which shows the percent increase of donations made on behalf of a non-profit organization for the period of 1984 to 2003.

Year: 1984 1989 1993 1997 2001 2003

Percent: 7.8 16.3 26.2 38.9 49.2 62.1

The scatter plot of the data is attached with the x-axis representing the number of years after 1980 and the y-axis representing the percent increase of donations made on behalf of a non-profit organization.

To find the equation for the line of regression where the x-axis representing the number of years after 1980 and the y-axis representing the percent increase of donations made on behalf of a non-profit organization.
$\begin{center}
\begin{tabular}{ c| c| c| c| }
 x & y & x^2 & xy \\ [1ex] 
 4 & 7.8 & 16 & 31.2 \\ 
 9 & 16.3 & 81 & 146.7 \\ 
13 & 26.2 & 169 & 340.6 \\ 
17 & 38.9 & 289 & 661.3 \\ 
21 & 49.2 & 441 & 1,033.2 \\ 
23 & 62.1 & 529 & 1,428.3 \\ [1ex]
\Sigma x=87 & \Sigma y=200.5 & \Sigma x^2=1,525 & \Sigma xy=3,641.3 
\end{tabular}
\end{center}$

Recall that the equation of the regression line is given by
$y=a+bx$
where
$a= \frac{(\Sigma y)(\Sigma x^2)-(\Sigma x)(\Sigma xy)}{n(\Sigma x^2)-(\Sigma x)^2} = \frac{200.5(1,525)-87(3,641.3)}{6(1,525)-(87)^2} \\ \\ = \frac{305,762.5-316793.1}{9,150-7,569} = \frac{-11,030.6}{1,581} =-6.977$
and
$b= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{n(\Sigma x^2)-(\Sigma x)^2} = \frac{6(3,641.3)-(87)(200.5)}{6(1,525)-(87)^2} \\ \\ = \frac{21,847.8-17,443.5}{9,150-7,569} = \frac{4,404.3}{1,581} =2.7858$

Thus, the equation of the regresson line is given by
$y=-6.977+2.7858x$

The graph of the regression line is attached.

Using the equation, we can predict the percent donated in the year 2015. Recall that 2015 is 35 years after 1980. Thus x = 35.

The percent donated in the year 2015 is given by
$-6.977+2.7858(35)=-6.977+97.503=90.526$

Therefore, the percent donated in the year 2015 is predicted to be 90.5

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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