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vredina [299]
3 years ago
13

John's current salary is 40000 per year.His annual pay raise is always a percent of his salary.What would his salary be if he re

ceived four consecutive 4% pay increase?
Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer:

The salary after four consecutive increase = $ 46794.34

Step-by-step explanation:

According to question,

salary of MR. John = $ 40000 per year

percentage py increase = 4%

Let the salary after four consecutive pay increase = x

So, X = 40000 (1 +\frac{4}{100})^4

Or, X = 40000 (\frac{26}{25})^4

Or, X = 46794.34

Hence the salary increase after four consecutive pay increase at 4% = $46794.34  Answer

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satela [25.4K]

Answer: B) Infinitely many solutions; both equations are equivalent

==============================================================

Work Shown:

x+y = 4 ... start with the first equation

x + (-x+4) = 4 ... replace y with (-x+4)

x-x+4 = 4

0x+4 = 4

0+4 = 4

4 = 4 ... this is a true statement regardless of what x you pick

So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.

Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.

6 0
3 years ago
Read 2 more answers
ВС<br> Round your answer to the nearest hundredth.<br> B.<br> ?<br> 35°<br> A<br> 2.<br> с
Akimi4 [234]

Answer:

a diagram is necessary. please provide a diagram.

6 0
3 years ago
7. Factor the expression.<br> 42 - 64
Dmitriy789 [7]

Answer:

-22 = -2^1×11^1

Step-by-step explanation:

Factor the following integer:

-22

Hint: | Is 22 divisible by 2?

The last digit of 22 is 2, which means it is even. Therefore 22 is divisible by 2:

22 = 2 11:

-22 = -2×11

Hint: | Now try to factor 11. Is 11 divisible by 2?

11 is not divisible by 2 since 11 is odd and 2 is even:

-22 = -2×11 (11 is not divisible by 2)

Hint: | Is 11 divisible by 3?

The sum of the digits of 11 is 1 + 1 = 2, which is not divisible by 3. This means 11 is not divisible by 3:

-22 = -2×11 (11 is not divisible by 2 or 3)

Hint: | Is 11 divisible by 5?

The last digit of 11 is not 5 or 0, which means 11 is not divisible by 5:

-22 = -2×11 (11 is not divisible by 2, 3 or 5)

Hint: | Is 11 divisible by 7?

Divide 7 into 11:

| | 1 | (quotient)

7 | 1 | 1 |  

- | | 7 |  

| | 4 | (remainder)

11 is not divisible by 7:

-22 = -2×11 (11 is not divisible by 2, 3, 5 or 7)

Hint: | Is 11 prime?

No primes less than 11 divide into it. Therefore 11 is prime:

-22 = -2×11

Hint: | Express -22 as a product of prime powers.

There is 1 copy of 2 and 1 copy of 11 in the product:

Answer: -22 = -2^1×11^1

3 0
3 years ago
Solve y=3x-4 and y=2/5x 9
mojhsa [17]
I need the sign between the (2/5)x and the 9
5 0
3 years ago
Can someone plz help me!!! 5-7?!
defon

Answer:

#5: d=22, #6: m=4\frac1{10}, #7: 2\frac3{11}=z

Step-by-step explanation:

#5:

2\cdot (4\cdot5-3^2)=2\cdot (4\cdot5-3\cdot3)=2\cdot (20-9)=2\cdot11=22

#6:

5\frac25-1\frac3{10}=5\frac4{10}-1\frac3{10}=4\frac1{10}

#7:

\frac{40-15}{5+6}=\frac{25}{11}=2\frac3{11}

7 0
3 years ago
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