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Whitepunk [10]
2 years ago
14

Your first job after college has a salary of $35,000 and will increase 6.5% each year. If you stay with the same position, what

you will make after working for 8 years?
Mathematics
1 answer:
natulia [17]2 years ago
5 0

Answer:

Step-by-step explanation:

35000*6.5%= 2275+35000=37275 year one

37275*6.5%=2422.88+37275=39697.88 year two

It comes out to $18200 more or 53,200

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Which expressions are equivalent to 7b(3+c) ?
Alex777 [14]

Answer:

The correct answer is B- 21b+7bc

Step-by-step explanation:

7b(3+c)

(7b)(3+c)

(7b)(3)+(7b)(c)

21b+7bc

4 0
3 years ago
Read 2 more answers
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
Stolb23 [73]

Answer:

  • t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

<u>1) Explanation of the model:</u>

  • Given: h(t) = -16t² + 48t

  • This is a quadratic function, so the height is modeled by a patabola.

  • This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

<u>2) Axis of symmetry:</u>

  • The axis of symmetry of a parabola is the vertical line that passes through the vertex.

  • In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

  • In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

<u>Conclusion</u>: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of  1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

8 0
3 years ago
Jeremy claims that if a linear function has a slope of the same steepness and the same y-intercept as the linear function in the
4vir4ik [10]

Answer: It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.

Step-by-step explanation:

Let us consider the general linear equation

Y = MX + C

On a coordinate plane, a line goes through points (0, negative 1) and (2, 0). 

Slope = ( 0 - -1)/( 2- 0) = 1/2

When x = 0, Y = -1

Substitutes both into general linear equation

-1 = 1/2(0) + C

C = -1

The equations for the coordinate is therefore

Y = 1/2X - 1

Let's check the equations one after the other

y = negative one-half x minus 1

Y = -1/2X - 1

y = negative one-half x + 1

Y = -1/2X + 1

y = one-half x minus 1

Y = 1/2X - 1

y = one-half x + 1

Y = 1/2X + 1

It is only the 3rd equation that is a good example to Jeremy's argument. Others are counter examples to Jeremy's argument.

7 0
3 years ago
Read 2 more answers
how many ways can 4 guests sit down in 6 seats in a row so that the leftmost place will be used and the rightmost place will be
castortr0y [4]

Answer:

96

Step-by-step explanation:

5 0
1 year ago
25+1/4? ( explain the steps)
Lena [83]
The answer is 25 1/4. to solve this you can do 4x25 plus 1 divided by 4. 4x25 is 100 plus 1 equals 101

5 0
3 years ago
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