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meriva
3 years ago
14

Micheal signed a 5-year contract for a new job. His starting salary is $67K per year, and the salary increases 3% each year if a

corporate review of his work deems it satisfactory. What is his salary in 5 years, to the nearest dollar?
Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0

Answer: 77050

Step-by-step explanation: each year +3% meaning in 5 years should be 15% already. 15/100 times x/67000. use butterfly method.

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Points B, O, Y are collinear on BY, and BO:OY=5/8. B is located at (4,2), O is located at (7, -3) and Y is located at (x,y). Det
Viktor [21]

Answer:

x = \frac{59}{5}

y = -11

Explanation:

Given that a line segment BY. O is the point lies between B & Y.

Ratio is BO:OY = 5:8

Coordinate of point B = (4,2)

Coordinate of point O = (7,-3)

We will find the coordinate of Y (x,y)

Here we use the section formula.

Internal section formula is :

Y(x,y) =(\frac{mx_{2}+nx_{1}}{m + n},\frac{my_{2}+ny_{1}}{m + n})

(7,-3) =(\frac{5*x+8*4}{5+8} ,\frac{5*y+8*2}{5+8} )

(7,-3) = (\frac{5x+32}{13}, \frac{5y+16}{13})

Now

7  = \frac{5x+32}{13}  

5x+32 = 91

x = \frac{59}{5}

and

-3 =\frac{5y+16}{13}

5y + 16 = -39

y = -11

That's the final answer.

8 0
3 years ago
A roller coaster starts with the cars being pulled up a ramp. The mass of the cars is estimated by the function m(p) = 175p + 1,
KiRa [710]

Answer:

E(p)=51,450p+346,920

Step-by-step explanation:

The function

m(p) = 175p + 1,180

gives the mass of the car as a function of the number of passengers in it.

And the function

E(m) = 9.8m*h

gives the potential energy of the car as a function of the car's mass.

Now if the height of the ramp is 30 meters, we have

E(m) =9.8m*(30)

E(m) =294m

And to find the potential energy as a function of the number of passengers, we just substitute m(p) into E(m) to get:

E(m(p))=294(175p+1180)

\boxed{ E(p)=51,450p+346,920}

which gives the potential energy as a function of the number of passengers.

7 0
4 years ago
How much is Jonah's income tax for the year?
Juliette [100K]
Jonah makes 85,740, which is at least 85,650 but less than 178,650, his tax is 28%. All you have to do is multiply 85,740 by 28% a.k.a .28 and you should get 24,007.2 which is Jonah’s income tax for the year.
3 0
4 years ago
16 2/3% of 21.6 is?
soldier1979 [14.2K]

Answer:

21

Step-by-step explanation:

7 0
4 years ago
X over 3 equals 2 over 5
natali 33 [55]

Answer:

so

x = 6 over 5

Step-by-step explanation:

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4 0
3 years ago
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