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Ostrovityanka [42]
3 years ago
11

Find last years salary if, after a 4% pay raise, this years salary is $31,200

Mathematics
1 answer:
lilavasa [31]3 years ago
7 0
The answer should be $29,952.... I hope this helps
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What number is 1000 larger than 1000
Nata [24]

Answer:

2000

Step-by-step explanation:

Increase 1000 by 1000 in addition.

Modeled in an equation, the situation is 1000 + 1000.

1000 + 1000 = 2000

5 0
3 years ago
The quadratic function d= -4x+1,100 models a snowboarder's distance, in feet, from the bottom of a hill x seconds after the snow
Fynjy0 [20]

Answer:

16 seconds (Approximately)

Step-by-step explanation:

Given:

The function that gives the distance of snowboarder from the bottom of hill with time 'x' is:

d=-4x^2+1100

Final position of the snowboarder is d=100\ ft

Now, plugging in 100 for 'd' and solving for 'x', we get:

100=-4x^2+1100

Adding -1100 both sides, we get:

100-1100=-4x^2+1100-1100\\-1000=-4x^2

Dividing both sides by -4, we get:

\frac{4x^2}{4}=\frac{1000}{4}\\x^2=250

Taking square root and neglecting the negative root as time can't be negative. So,

\sqrt{x^2}=\sqrt{250}\\x=5\sqrt{10}=15.8\ s\approx 16\ s

Therefore, after 16 seconds, the snowboarder will be at a distance of 100 ft from bottom of hill.

7 0
3 years ago
There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model
Helga [31]

\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ A=250(1 + 0.16)^{t}\implies A=250(1.16)^t \\\\[-0.35em] ~\dotfill

A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}

7 0
2 years ago
Solve for x and y<br> y = 2x + 1<br> y = 4x - 1
Furkat [3]

the answer for y is 3

the answer for x is 1

5 0
3 years ago
The lines of the equations are parallel, perpendicular, or neither. y = -x + 3 y = -x - 3
Blizzard [7]
It is parallel Lines
7 0
3 years ago
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