F(x)=2/3x+4 then what is the translation of h(x)=

The first term of geometric sequence is 7 and the common ratio is -2. Find the 9th term.

kobusy [5.1K]

$a_{1}$ = 7.

Ratio means multiply/divide.
To get the next number, multiply number by common ratio.
To get a previous number, divide by common ratio.

Since we want the next number...
2nd term: 7 x -2 = -14
3rd term: -14 x -2 = 28
4th term: 28 x -2 = -56
5th term: -56 x -2 = 112

Keep going until 9th term!

5 0

3 years ago

A wise investor purchased a plot of land in 1947 for $84000

jarptica [38.1K]

The answer will be $82063

7 0

3 years ago

The total interest paid on a 3-year loan at 9% interest compounded monthly is $1505.82 determine the monthly payment for the

Kruka [31]

Number of compounding periods is
n=12months×3years=36
I assume that

The total interest=
monthly payment×number of compounding periods - the amount of the present value of an annuity ordinary
I=x×n-pv

Let monthly payment be X

I =Total interest is 1505.82

The present value of an annuity ordinary is
Pv=X [(1-(1+0.09/12)^(-36))÷(0.09/12)]

now plug those in the formula of the total interest above
I=x×n-pv
1505.72=36X-X [(1-(1+0.09/12)^(-36))÷(0.09/12)]
Solve for X using Google calculator to get the monthly payment which is
X=330.72

Check your answer using the interest formula
36×330.72−330.72×((1−(1+0.09
÷12)^(−12×3))÷(0.09÷12))
=1,505.83

3 0

4 years ago

Consider the graph of the line y = .5x- 4 and the point

Katena32 [7]

Answer:

slope of parallel line and perpendicular line are 5 and -1/5 espectively

equation of parallel and perpendicular line are y = 5x + 22 $y= \frac{-1}{5} x+\frac{6}{5}$ respectively

Step-by-step explanation:

y = 5x - 4 is in the form

y = mx + c

where m is the slope of the line and c is the y intercept of thr line

therefore slope of the line = 5 and y intercept = -4

when an another line is parallel to the given line then the slope of both the lines are equal

therefore the slope the parallel line = 5

equation of a line passing through a given point $(x_{1} ,y_{1})$ with slope m is given by $y-y_{1} = m(x-x_{1} )$

given $(x_{1} ,y_{1})$ = (-4,2)

therefore equation of line y-2 = 5(x+4)

therefore y = 2+ 5x+20

y = 5x + 22is the eqaution of required line.

when two lines are perpendiculer then

$m_{1} m_{2}=-1$

where $m_{1} and m_{2}$ are slope of the lines therefore

m×5=-1

therefore m= $\frac{-1}{5}$

therefore eqaution of line passing through (-4,2) and with slope m= $\frac{-1}{5}$ is given by $y - 2= \frac{-1}{5} (x+4)$

$y= \frac{-1}{5} x+\frac{6}{5}$

3 0

3 years ago

For a normal distribution, is it likely that a data value selected at random is more than 2 standard deviations above the mean?

makkiz [27]

Answer:

$P(X>\mu + 2\sigma)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

Using the z score formula we want this probability:

$P(Z>2)$

And using the complement rule we got:

$P(Z>2) = 1-P(Z$

And that correspond to only 0.023*100= 2.3%, so is not frequently and the most appropiate answer for this case would be:

No. This event happens only 2.5% of the time

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interst of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

Where $\mu$ the mean and $\sigma$ the deviation

We are interested on this probability

$P(X>\mu + 2\sigma)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

Using the z score formula we want this probability:

$P(Z>2)$

And using the complement rule we got:

$P(Z>2) = 1-P(Z$

And that correspond to only 0.023*100= 2.3%, so is not frequently and the most appropiate answer for this case would be:

No. This event happens only 2.5% of the time

8 0

3 years ago

F(x)=2/3x+4 then what is the translation of h(x)= —f(x)​

F(x)=2/3x+4 then what is the translation of h(x)= —f(x)