Ask question

Ask question

All categories

3 years ago

7

joseph accepted a new job at a company with a contract guaranteeing annual raises. Joseph will get a raise of $5000 every year a

nd had a starting salary of $70000. Write an equation for S, in terms of N, representing Josephs salary after working n years for the company.

2 answers:

krok68 [10]3 years ago

7 0

Answer:

S=5000n+70000

Stels [109]3 years ago

3 0

Answer:S = 70,000 + 5000n

You might be interested in

Justin owns a food truck that sells tacos and burritos. He only has enough supplies to

vfiekz [6]

Answer:

The solution in the attached figure

One possible solution is the point (30,60)

Step-by-step explanation:

Let

x -----> represents the number of tacos sold

y -----> represents the number of burritos sold

we know that

------> inequality A

-----> inequality B

using a graphing tool

The solution is the triangular shaded area

see the attached figure

One possible solution is the point (30,60)

Remember that if a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

so

That means----> The number of tacos sold is 30 and the number of burritos sold

Verify

Substitute the value of x and the value of y in each inequality

Inequality A

----> is true

Inequality B

----> is true

The ordered pair satisfy both inequalities, then the ordered pair is a solution of the system

Read more on Brainly.com - brainly.com/question/13301815#readmore

Step-by-step explanation:

3 0

3 years ago

A monkey is swinging from a tree. On each swing, she travels along an arc that is 75% as long as the previous swing's arc. The t

mr_godi [17]

Answer:

Total length of the first swing=64 m

Step-by-step explanation:

The total length of all four swings can be expressed as;

Total length of all 4 swings=Length of first swing+length of second swing+length of third swing+length of fourth swing

where;

Total length of all 4 swings=175 m

Length of first swing=x

Length of second swing=75% of length of first swing=(75/100)×x=0.75 x

Length of third swing=75% of length of second swing

Length of third swing=(75/100)×0.75 x=0.5625 x

Length of fourth swing=75% of length of third swing

Length of fourth swing=(75/100)×0.5625 x=0.421875 x

replacing;

Total length of all 4 swings

175=x+0.75 x+0.5625 x+0.421875 x

2.734375 x=175

x=175/2.734375

x=64

Total length of the first swing=x=64 m

3 0

3 years ago

Read 2 more answers

Find the surface area of the prism

Bess [88]

Answer:

it would be 124mm

Step-by-step explanation:

you multiply the base x height

3 0

3 years ago

7. The ordered pairs ((-1,-9), (5,9). (7.15)) are included in which function?<br> 14

Sholpan [36]

Answer:

C. y=3x-6

Step-by-step explanation:

6 0

2 years ago

A company manufactures running shoes and basketball shoes. The total revenue (in thousands of dollars) from x1 units of running

Alborosie

Answer:

$x_1 =2 , x_2=7$

Step-by-step explanation:

Consider the revenue function given by $R(x_1,x_2) = -5x_1^2-8x_2^2 -2x_1x_2+34x_1+116x_2$ . We want to find the values of each of the variables such that the gradient( i.e the first partial derivatives of the function) is 0. Then, we have the following (the explicit calculations of both derivatives are omitted).

$\frac{dR}{dx_1} = -10x_1-2x_2+34 =0$

$\frac{dR}{dx_2} = -16x_2-2x_1+116 =0$

From the first equation, we get, $x_2 = \frac{-10x_1+34}{2}$ .If we replace that in the second equation, we get

$-16\frac{-10x_1+34}{2} -2x_1+116=0= 80x_1-2x_1+116-272= 78x_1-156$

From where we get that $x_1 = \frac{156}{78}=2$ . If we replace that in the first equation, we get

$x_2 = \frac{-10\cdot 2 +34}{2}=\frac{14}{2} = 7$

So, the critical point is $(x_1,x_2) = (2,7)$ . We must check that it is a maximum. To do so, we will use the Hessian criteria. To do so, we must calculate the second derivatives and the crossed derivatives and check if the criteria is fulfilled in order for it to be a maximum. We get that

$\frac{d^2R}{dx_1dx_2}= -2 = \frac{d^2R}{dx_2dx_1}$

$\frac{d^2R}{dx_{1}^2}=-10, \frac{d^2R}{dx_{2}^2}=-16$

We have the following matrix,

$\left[\begin{matrix} -10 & -2 \\ -2 & -16\end{matrix}\right]$ .

Recall that the Hessian criteria says that, for the point to be a maximum, the determinant of the whole matrix should be positive and the element of the matrix that is in the upper left corner should be negative. Note that the determinant of the matrix is $(-10)\cdot (-16) - (-2)(-2) = 156>0$ and that -10<0. Hence, the criteria is fulfilled and the critical point is a maximum

8 0

3 years ago

Read 2 more answers