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Leya [2.2K]
3 years ago
6

Kelly Jackson is an administrative assistant. She earns a weekly salary of $412.00. She applied and wad hired for an administrat

ive specialist. Kelly's annual salary in her new position will be $24,388.00. How much ch will Kelly's weekly salary be in her position?
Mathematics
1 answer:
Sedbober [7]3 years ago
7 0

Given that weekly salary of Kelly Kackson is 412$ and new annual salary of Kelly Jackson is $24,388.00 .That means Kelly Jackson earns 24388$ per 1 year in the new position.

To find weekly salary in the new position, we have to divide annual salary in new position with "total number of weeks in a year".

Since 1 year = 52 weeks.

Weekly salary = \frac{24388}{52}  = $469

Hence weekly salary of Kelly Jackson in new position is $469.

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A hot air balloon went from an elevation of 5,038 feet to an elevation of 3,403 feet in 30 minutes. What was its rate of descent
jeyben [28]

Answer:

Step-by-step explanation:

  In this case, we have a descent of 2,125 feet (initial height of 5,439 - ending height of 3,314). Since it took 34 minutes for the balloon to descend this distance, we divide the descent by the time (2,125/34). This gives us a rate of 62.5 feet per minute.  

  That means that the balloon traveled downward 62.5 feet every minute.  

7 0
2 years ago
Given the coordinates below, what is the midpoint of AB?<br> A(-6, -10)<br> B(2,5)
madreJ [45]

Given :

\:

  • A(-6, -10)
  • B( 2, 5)

\:

\gray{ \frak{The \:  given \:  two \:   \: points  \: are(x_{1 },y_{1})=(−6 , -10)and(x_{ 2 },y_{2} )=( 2,5 )\:}}

\:

Let's solve by using midpoint formula :

\:

\bf \boxed{\color{red}\frak{Midpoint \:   \: Formula :  {( \: x ,\:y \:  ) = }(  \frak{ \frac{x_{1 } + y_{1}}{2} , \frac{x_{2 } + y_{2}}{2} )}}}

\:

\large \gray{ \frak{( \: x ,\:y \:  ) = }(  \frak{ \frac{ -6 + 2}{2} , \frac{ - 10 + 5}{2} )}}

\:

\: \large \gray{ \frak{( \: x ,\:y \:  ) = }(  \frak{ \frac{ -4}{2} , \frac{ - 5}{2} )}}

\:

\large \gray{ \frak{( \: x ,\:y \:  ) = }(  \frak{  \cancel\frac{ -4}{2} ,  \cancel\frac{ - 5}{2} )}}

\:  \:

\underline{ \boxed{ \large \red{ \frak{option \: d }(  \frak{   - 2, - 2.5)}}}}✓

Hope Helps! :)

6 0
2 years ago
The mean SAT score in mathematics, M, is 600. The standard deviation of these scores is 48. A special preparation course claims
kupik [55]

Answer:

Step-by-step explanation:

The mean SAT score is \mu=600, we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it \sigma) is

\sigma=48

Next they draw a random sample of n=70 students, and they got a mean score (denoted by \bar x) of \bar x=613

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis H_0:\bar x \geq \mu

- The alternative would be then the opposite H_0:\bar x < \mu

The test statistic for this type of test takes the form

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\

<h3>since 2.266>1.645 we  can reject the null hypothesis.</h3>
6 0
3 years ago
Read 2 more answers
Need Help Please!!!!!!!
marshall27 [118]

ANSWER

$1,413.81

EXPLANATION

The compound interest formula is given by:

A=P(1+r\%)^t

Where P=900 is the balance in the account, t=10 is the number of years and r=0.0462 is the rate.

We substitute the values in to the formula to get:

A=900(1+4.62\%)^{10}

A=900(1.0462)^{10}

This simplifies to:

A=1413.81

Therefore $1413.81 will be in the account after 10 years.

6 0
3 years ago
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Please please answer this correctly as soon as possible I have to finish the sums by
Helga [31]

There are 20 miles is Sheng from his home.

7 0
3 years ago
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