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2 years ago

Find last year's salary if, after a 5% pay raise, this year's salary is 35,175

Mathematics

1 answer:

erastovalidia [21]2 years ago

3 0

Answer:

Step-by-step explanation:

x + 0.05x = 36225

x(1 + 0.05) = 36225

x*1.05 = 36225

by solving we find:

x = $34,500

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The number of species of coastal dune plants in australia decreases as the latitude, in °s, increases. There are 34 species at 1

Bas_tet [7]

We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.

Further we know that there are 34 species at 11°s and 26 species at 44°s.

We can express the given information at two ordered pairs as shown below:

$(n,l)=(11,34)\text{ and }(n,l)=(44,26)$

Let us find slope of the line through these points:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{26-34}{44-11}=\frac{-8}{33}=-0.2424$

Therefore, we can write the equation of line in slope intercept form as:

$n=-0.2424l+b$

Where b is the y intercept, and we can find its value using one of the two points.

$34=-0.2424(11)+b\\34=-2.67+b\\b=34+2.67=36.67$

Therefore, the required equation of the linear function is:

$n=-0.2424l+36.67$

4 0

3 years ago

You previously found the mean of this data set. Use that in answering the question. 63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25,

kicyunya [14]

Answer:

Sum of squares of differences = 11239.74

Step-by-step explanation:

We are given the following data set:

63, 89, 92, 73, 79, 72, 34, 36, 94, 21, 25, 93, 22, 90, 79

We have to calculate the sum of square of the data set.

Formula:

$\text{Sum of square of differences} = \sum (x_i -\bar{x})^2$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{962}{15} = 64.13$

Sum of squares of differences =

1.284444444 + 618.3511113 + 776.5511113 + 78.61777778 + 221.0177779 + 61.88444445 + 908.0177776 + 791.4844443 + 892.017778 + 1860.484444 + 1531.417778 + 833.2844446 + 1775.217777 + 669.0844446 + 221.0177779

= 11239.74

3 0

3 years ago

Function R gives the amount of rain measured by a rain gauge hours since it started raining. The amount of rain is measured in m

vladimir1956 [14]

Answer:

R(3) means that it has rained 3 millimeter and R(0.5)=14 means in 14 hours it has rained half a millimeter.

Step-by-step explanation:

5 0

3 years ago

The value x = 3 is a solution to each of the following except which?

ololo11 [35]

Answer:

$x \: is \: not \: a \: solution \: in \to \: 5x + 4 < 19. \\$

Step-by-step explanation:

$\: if \: x = 3 \: then \\ 4x-1=2x +5 \: is \: same \: as \to \: \\ 4(3) - 1 = 2(3) + 5\\ 12 - 1 = 6 + 5 \\ 11 =11 \to \: \\ \boxed{ x \: is \:a \: solution \: here} \\ \\ if \: x = 3 \\ then \to \\ 5x + 4 < 19\: is \: same \:as \to \\ 5(3) + 4 < 19 \\ 15 + 4 < 19 \\ 19 \: is \: equal \: to \: 19 : \\ 19 \: can \: not \: be \: less \: than \: 19 \\ \boxed{ henc e\: x \: is \: not \: a \: solution \: here}$

♨Rage♨

6 0

3 years ago

He length of a rectangle is three times its width. The perimeter of the rectangle is at most 112 cm.

g100num [7]

The equation relating length to width
L = 3W
The inequality stating the boundaries of the perimeter
LW <= 112
When you plug in what L equals in the first equation into the second equation, you get
3W * W <= 112
evaluate
3W^2 <= 112
3W <= $4 \sqrt{7}$
W <= $\frac{4 \sqrt{7} }{3}$ cm

8 0

3 years ago

Read 2 more answers

Find last​ year's salary​ if, after a 5% pay​ raise, this​ year's salary is 35,175

Find last year's salary if, after a 5% pay raise, this year's salary is 35,175