All categories

2 years ago

A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.

Mathematics

1 answer:

Pachacha [2.7K]2 years ago

6 0

Answer:

59,000 I believe (I'm bad at math sorry in advance)

You might be interested in

Ifx=−8, evaluate the following expression:(x−2)(x+4)x(x+9)

tekilochka [14]

Answer:

= 40

Step-by-step explanation:

so if you mean x = -8

$(x - 2)(x + 4) \times (x + 9) \\$

$( - 8 - 2)( - 8 + 4) \times ( - 8 + 9)$

$( - 10)( - 4) \times 1$

$40 \times 1$

$40$

4 0

2 years ago

Use induction to prove: For every integer n > 1, the number n5 - n is a multiple of 5.

nignag [31]

Answer:

we need to prove : for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

1) check divisibility for n=1, $f(1)=(1)^{5}-1=0$ (divisible)

2) Assume that $f(k)$ is divisible by 5, $f(k)=(k)^{5}-k$

3) Induction,

$f(k+1)=(k+1)^{5}-(k+1)$

$=(k^{5}+5k^{4}+10k^{3}+10k^{2}+5k+1)-k-1$

$=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k$

Now, $f(k+1)-f(k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-(k^{5}-k)$

$f(k+1)-f(k)=k^{5}+5k^{4}+10k^{3}+10k^{2}+4k-k^{5}+k$

$f(k+1)-f(k)=5k^{4}+10k^{3}+10k^{2}+5k$

Take out the common factor,

$f(k+1)-f(k)=5(k^{4}+2k^{3}+2k^{2}+k)$ (divisible by 5)

add both the sides by f(k)

$f(k+1)=f(k)+5(k^{4}+2k^{3}+2k^{2}+k)$

We have proved that difference between $f(k+1)$ and $f(k)$ is divisible by 5.

so, our assumption in step 2 is correct.

Since $f(k)$ is divisible by 5, then $f(k+1)$ must be divisible by 5 since we are taking the sum of 2 terms that are divisible by 5.

Therefore, for every integer n>1, the number $n^{5}-n$ is a multiple of 5.

3 0

3 years ago

(-4^0) + 1 equals to ?

Mama L [17]

Answer:

zero (0)

Step-by-step explanation:

-4^0=-1

-1+1=0

6 0

2 years ago

Gourmet Pretzels bakes soft pretzels on an assembly line. It currently bakes 800 pretzels each eight-hour shift. If the producti

Delvig [45]

Answer:

Change in productivity will be 50%

So option (b) will be correct option

Step-by-step explanation:

It is given that it takes 8 hour to bake 800 pretzels

And there is a shift of 8 hours

So hourly production = $\frac{800}{8} =100$

Now the production is increases to 1200

Now hourly production = $\frac{1200}{8}=150$

So change in productivity = $\frac{150-100}{100}=50$ %

So option (b) will be correct answer

6 0

3 years ago

What is the difference of the ones and the tenth digit of the pi?

antiseptic1488 [7]

Answer:

Step-by-step explanation:

The value of pi is 22/7

Expressing as a decimal, the first ten digits of pi is 3.1415926535

The value in the tenth digit of the pi is 5 (tenth value after the decimal point)

The value of the ones is 3(The value before the decimal point)

The difference between both values = 5 - 3

The difference between both values = 2

Hence the difference of the ones and the tenth digit of the pi is 2

8 0

3 years ago