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Eva8 [605]
3 years ago
15

Olivia just graduated with an Associates degree and is working as a secretary in a firm earning 9.75 an hour.Her contract stipul

ates that she will get an annual rasie of 6% until she reaches the rate of $15.50 an hour. sheshow long would it take for Olivia to earn $15.50 an hour? math
Mathematics
1 answer:
Elza [17]3 years ago
6 0
Answer: In about 8 years, she will reach the rate of $15.50

This is an exponential equation. We could write and solve the equation below to find the answer.

9.75(1.06)^x = 15.5


(1.06)^x = 15.5/9.75    Divide both sides by 9.75

x (log(1.06)) = log(15.5/9.75)   Take the log of both sides and bring down the x.

x = log(15.5/9.75) / log(1.06)    Divide both sides by log(1.06)

x = 7.956

Therefore, we can round it up to 8 years.
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A population of kangaroos is growing at a rate of 2% per year, compounded continuously. If the rate continues, how many years wi
OlgaM077 [116]

Answer:

75 years.

Step-by-step explanation:

Divide 150 by 2, that gives you the years.

3 0
3 years ago
"Complete the square" to convert the equation of each circle to graphing form. Identify the center and the radius.
Reil [10]

Answer:

The center is (-3,2) and the radius is r=2

Step-by-step explanation:

The general equation of the given circle is

x^2+6x+y^2-4y=-9

Add the square of half the coefficient of the linear terms to both sides of the equation to obtain;

x^2+6x+3^2+y^2-4y+(-2)^2=-9+3^2+(-2)^2

x^2+6x+9+y^2-4y+4=-9+9+4

x^2+6x+9+y^2-4y+4=4

The quadratic trinomials in x and y on the left side of the equations are perfect squares.

We factor to obtain;

(x+3)^2+(y-2)^2=4

(x--3)^2+(y-2)^2=2^2

Comparing to:

(x-h)^2+(y-k)^2=r^2

The center is (-3,2) and the radius is r=2

8 0
3 years ago
What is the value of 5 in 756 write and draw to explain how you know?
kykrilka [37]

In the attached diagram you can see Place Value Chart that is used to help understand the value of each digit based on the place or position.

For the number 756:

  • 7 has a value of 7 hundreds, or 700;
  • 5 has a value of 5 tens, or 50;
  • 6 has a value of 6 ones, or 6.

Answer: 5 has a value of 5 tens, or 50

8 0
3 years ago
Read 2 more answers
If there are 400 ounces in 25 pounds, how many ounces are in 8 pounds
ladessa [460]
The answer is:  " 128 oz. " . 
_________________________________________________________
There are:  " 128 oz. " (in " 8 lbs." ) .
_________________________________________________________
Explanation:
________________________________________________________
Set up a proportion;  as a fraction; as follows:
________________________________________________________

 400/ 25  = x / 8 ; 

in which:  "x" = the number of "ounces [oz.] there are in "8 lbs." ;
________________________________________________________
We shall solve for "x" , the answer to the problem:

Cross-factor multiply:

25x = (400) * 8 ; 

→ 25x = 3200 ; 

Divide each side of the equation by "25" ; to isolate "x" on one side of the equation; & to solve for "x" ; 

→ 25x / 25 = 3200 / 25 ; 

→  x = 128 .
_________________________________________________________
Answer:  " 128 oz. " . 
_________________________________________________________
There are:  " 128 oz. " (in " 8 lbs." ) .
_________________________________________________________

Note of interest:  " 16 oz. =  1 lb. " (exact conversion). 

So;  "8 lbs.  <span>=  ?</span>  oz. " ; 

→  " 8 lbs. * (16 oz/ 1 lb)  =   ( 8 * 16) oz.  =  128 oz. ;  →  which is our answer!
_________________________________________________________
3 0
3 years ago
Read 2 more answers
P
coldgirl [10]

Answer:

...

Step-by-step explanation:

4 0
2 years ago
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