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iren2701 [21]
3 years ago
10

She made 76,450 last year she received a 4% salary increase how much does she make now ?

Mathematics
1 answer:
Luden [163]3 years ago
5 0

Answer:

$79,508

Step-by-step explanation:

Change 4% to decimal form: drop the percent sign replacing it with a decimal    

                                                point then move the decimal point two places to  

                                                the left = .04

Salary increase: $76,450 x .04 = $3,058

Total salary: $76,450 + $3,058 = $79,508

You might be interested in
Tim wrote 16 as (-2)^4. is he correct?
algol [13]
Yes, he is correct. Since.....


(−2)^4

=(−2)*(−2)*(−2)*(−2)

=(−2)^4

=16


5 0
3 years ago
Read 2 more answers
Joe bikes at the speed of 30 km/h from his home toward his work. If Joe's wife leaves home 5 mins later by car, how fast should
Dahasolnce [82]

Answer:

45 mph

Step-by-step explanation:

This is a really good question to know the answer to. It is tricky and a bit indirect (which means you have to find something else before you can find the speed of the car.)

Let's keep track of what he does in the time allotted.

How far does Joe go in 5 minutes? That's the amount of time he's on the road before she is.

convert 5 minutes into hours. 5 minutes * 1 hour / 60 minutes = 1/12 of an hour

d = r*t

r = 30 km/hour

t = 1/12 hour

d = 30 km/hr * 1/12 hour = 2.5 km

Now she's about to start. She wants to catch him in 10 minutes

d = r*t

r = x mph

t = 10 minutes = 10 minutes * 1 hour * 60 minutes = 1/6 of an hour.

How far does he go in the 10 minute time?

d = 30 * 1/6 = 5 km

What is his total distance

5 km + 2.5 km = 7.5 km

Finally how fast does she need to go to catch him

d = 7.5 km

r = ?   This is what you are trying to find

t = 1/6 of an hour

d = r*t

7.5 km = r * (1/6)hour             divide by 1/6 hour

7.5 km // 1/6 hour = r

r = 7.5 * 6 = 45 mph

6 0
3 years ago
Rania solves the equation below by first squaring both sides of the equation.
Anuta_ua [19.1K]

Answer:

The extraneous solution is 4.

Step-by-step explanation:

First, let us calculate the value of 'x' without squaring both side of the expression. This is illustrated below:

-5 = 3x - 7

Collect like terms

-5 + 7 = 3x

2 = 3x

Divide both side by 3

x = 2/3.

Now, let us calculate the value of 'x' by squaring both side of the expression. This is illustrated below:

(-5)^2 = (3x - 7)^2

25 = (3x - 7)(3x - 7)

25 = 9x^2 - 21x - 21x + 49

9x^2 - 42x + 49 - 25 = 0

9x^2 - 42x + 24 = 0

Solving by factorisation:

Multiply the first term i.e 9x^2 and 3rd term i.e 24 together. The result is 216x^2.

Next, we shall obtain two factors of 216x^2 such that when we add them together, it will give the 2nd term i.e -42x in the equation. These factors are: -6x and -36x

Now we can write the above equation as:

9x^2 - 42x + 24 = 0

9x^2 - 6x - 36x + 24 = 0

3x(3x - 2) - 12(3x - 2) = 0

(3x - 12)(3x - 2) = 0

3x - 12 = 0 or 3x - 2 = 0

3x = 12 or 3x = 2

x = 12/3 or x = 2/3

x = 4 or 2/3.

We can see that when we solve the question without squaring both side, the value of x is 2/3. But when we solve by squaring both side, the value of x are 4 and 2/3.

Therefore, the extraneous solution to the question is 4.

6 0
3 years ago
(50 POINTS) The figure is transformed as shown in the diagram. Describe the transformation. A) dilation, then reflection B) refl
Helga [31]

Answer:

Hi there I was just working on this question on UsaTestPrep and idk if the answer is really correct but here: C: reflection then rotation.

Step-by-step explanation:

Extra Info:

Dilation is when the shape changes in size, which doesn't happen.

Translation is when it just moves across. It may look like that is happening here, but I'll explain.

The triangle is first reflected along the line . Imaging putting a mirror on the x=0 line (the y axis, basically), and you'd see 1 to 2.

Then, it is rotated around the point . Get a bit of tracing paper, draw over 2, and then, holding the tracing paper down at  (works well with a pencil), rotate it round and you will find it fits perfectly over 3.

Also is this the diagram?

6 0
3 years ago
You draw two cards from a standard deck of 52 cards. What is the probability of drawing a face card and then an ace without repl
Goryan [66]

Answer:

3/13. There are 4 aces in the pack so probability of the second draw being an ace = 4/51.

Step-by-step explanation:

5 0
3 years ago
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