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krok68 [10]
3 years ago
6

If my salary increase by 25% each year, in 4 years, I will earn exactly twice as much as I do now

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0
The statement is false. In 4 years the salary will increase to (1.25)^4 = 2.44 times the original salary.
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What is the equation, in slope-intercept form, of the line
Sati [7]

<u>Given</u>:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

<u>Slope of the given line:</u>

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

m=\frac{y_2-y_1}{x_2-x_1}

Substituting the coordinates (-1,3) and (2,2), we get;

m_1=\frac{2-3}{2+1}

m_1=-\frac{1}{3}

Thus, the slope of the given line is m_1=-\frac{1}{3}

<u>Slope of the perpendicular line:</u>

The slope of the perpendicular line can be determined by

m_2=-\frac{1}{m_1}

Substituting m_1=-\frac{1}{3}, we get;

m_2=-\frac{1}{-\frac{1}{3}}

simplifying, we get;

m_2=3

Thus, the slope of the perpendicular line is 3.

<u>Equation of the perpendicular line:</u>

The equation of the perpendicular line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting m=3 and the point (2,-1) in the above formula, we have;

y+1=3(x-2)

y+1=3x-6

     y=3x-7

Thus, the equation of the perpendicular line is y=3x-7

Hence, Option d is the correct answer.

3 0
3 years ago
#2) A lifeguard is swimming to a drowning swimmer. The lifeguard's location is at
Ulleksa [173]

Answer:

<h3>9.43</h3>

Step-by-step explanation:

The formula for calculating the distance between two points is expressed as

D =√(x2-x1)²+(y2-y1)²

Given the coordinates (0,0) and (8,5)

D = √(5-0)²+(8-0)²

D = √5²+8²

D = √25 + 64

D = √89

<em>D = 9.43</em>

<em>Hence the distance between the life guard and the swimmer is 9.43</em>

<em></em>

8 0
3 years ago
The sum of two consecutive integers is 7,903. What are the integers.
dimaraw [331]
The answer for the first question would be 3952+3952 =7903
5 0
3 years ago
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5. Find the values of k that make 2x2 + kx + 11 factorable.
damaskus [11]
I hope this helps you

6 0
3 years ago
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So, I think the Knave of Spades is telling the truth because he wasn't accused of anything but im not sure. Brainliest goes to w
dlinn [17]

Answer:

B

Step-by-step explanation:

It all starts whether the Knave of Hearts tells the truth or not. You can decide yourself.

Hearts: H

Clubs: C

Diamonds: D

Spades: S

If H lies, C tells the truth, therefor D lies. So S tells the truth

If H tells the truth, C lies. Therefore D tells the truth and S lies

3 0
2 years ago
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