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1 year ago

Malik starts a job at which his starting salary is

Mathematics

1 answer:

Sauron [17]1 year ago

6 0

9514 1404 393

Answer:

7 years

Step-by-step explanation:

Malik's salary grows 25,500 in 12 years, so at the rate of ...

$25,500/(12 yr) = $2125/yr

To get his salary up to 40,000, it must grow by ...

40,000 -25,500 = 14,500

To grow that much will take ...

$14,500/($2125/yr) ≈ 6.82 yr

Malik must wait 7 years until his salary is at least $40,000.

_____

At the end of the 7th year, Malik's salary will be raised to ...

$25,500 + 7·2,125 = $40,375

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The steps below show the work of a student used to calculate the number of yards in 804.5 meters.

Butoxors [25]

Answer:

see below

Step-by-step explanation:

804.5 meters. to yards

Step 1:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

1,609 meters is being multiplied by conversion factor 1 mile over 804.5 meters equals 2 miles

1,609 meter  x  1 mile  = 2 miles

804.5 meters

Step 2:

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

2 miles is being multiplied by conversion factor 1760 yards over 1 mile equals 3,520 yards

2 miles x  1,760 yards  = 3,520 yards

1 mile

no need of step 3. the conversion below should be on step 2.

to convert miles into yards.

(1 mile = 1,609 meters)

(1 mile = 1,760 yards)

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2 years ago

Some of the steps in the derivation of the quadratic formula are shown. Step 3: –c + StartFraction b squared Over 4 a EndFractio

icang [17]

Answer:

The square root of terms separated by addition and subtraction cannot be calculated individually.

Step-by-step explanation:

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2 years ago

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A study of consumer smoking habits includes 177 people in the 18-22 age bracket ( 48 of whom smoke), 146 people in the 23-30 age

svp [43]

Answer:

The probability of getting someone who is age 18-22 or does not smoke is 0.854 ....

Step-by-step explanation:

Through the given statements we have to find the probability of getting someone who is age 18-22 or does not smoke.

Age 18-22 has 177 people. 48 of whom smoke.

People who does not smoke =(177-48) + (146-31) +(81-28)

People who does not smoke=129+115+53 = 297

People with age (18-22) who does not smoke = 129

P(18-22 or does not smoke) = (177+297-129)/(177+146+81)

P(18-22 or does not smoke) = 345/404

P(18-22 or does not smoke) = 0.854

Thus the probability of getting someone who is age 18-22 or does not smoke is 0.854 ....

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2 years ago

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Find all x in set of real numbers R Superscript 4 that are mapped into the zero vector by the transformation Bold x maps to Uppe

sukhopar [10]

Answer:

$x_3 = \left[\begin{array}{c}4&3&1\\0\end{array}\right]$

Step-by-step explanation:

According to the given situation, The computation of all x in a set of a real number is shown below:

First we have to determine the $\bar x$ so that $A \bar x = 0$

$\left[\begin{array}{cccc}1&-3&5&-5\\0&1&-3&5\\2&-4&4&-4\end{array}\right]$

Now the augmented matrix is

$\left[\begin{array}{cccc}1&-3&5&-5\ |\ 0\\0&1&-3&5\ |\ 0\\2&-4&4&-4\ |\ 0\end{array}\right]$

After this, we decrease this to reduce the formation of the row echelon

$R_3 = R_3 -2R_1 \rightarrow \left[\begin{array}{cccc}1&-3&5&-5\ |\ 0\\0&1&-3&5\ |\ 0\\0&2&-6&6\ |\ 0\end{array}\right]$

$R_3 = R_3 -2R_2 \rightarrow \left[\begin{array}{cccc}1&-3&5&-5\ |\ 0\\0&1&-3&5\ |\ 0\\0&0&0&-4\ |\ 0\end{array}\right]$

$R_2 = 4R_2 +5R_3 \rightarrow \left[\begin{array}{cccc}1&-3&5&-5\ |\ 0\\0&4&-12&0\ |\ 0\\0&0&0&-4\ |\ 0\end{array}\right]$

$R_2 = \frac{R_2}{4}, R_3 = \frac{R_3}{-4} \rightarrow \left[\begin{array}{cccc}1&-3&5&-5\ |\ 0\\0&1&-3&0\ |\ 0\\0&0&0&1\ |\ 0\end{array}\right]$

$R_1 = R_1 +3 R_2 \rightarrow \left[\begin{array}{cccc}1&0&-4&-5\ |\ 0\\0&1&-3&0\ |\ 0\\0&0&0&-1\ |\ 0\end{array}\right]$

$R_1 = R_1 +5 R_3 \rightarrow \left[\begin{array}{cccc}1&0&-4&0\ |\ 0\\0&1&-3&0\ |\ 0\\0&0&0&-1\ |\ 0\end{array}\right]$

$= x_1 - 4x_3 = 0\\\\x_1 = 4x_3\\\\x_2 - 3x_3 = 0\\\\ x_2 = 3x_3\\\\x_4 = 0$

$x = \left[\begin{array}{c}4x_3&3x_3&x_3\\0\end{array}\right] \\\\ x_3 = \left[\begin{array}{c}4&3&1\\0\end{array}\right]$

By applying the above matrix, we can easily reach an answer

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2 years ago

List at least three (3) characteristics of carbon that make it a unique element.

lutik1710 [3]

1.) Carbon Compounds are the backbone of all organic compounds that are the basic building blocks of all living things.

2.) The diamond allotropic form of carbon is the hardest substance known.

3.) Carbon has the ability to form covalent bonds with other carbon atoms forming continuous chains, branches, and loops

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2 years ago

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