For problem one she starts off earning 10.24 dollars per hour. She receives a raise of 1.60 dollars. So first you have to add both 10.24 and 1.60 together to find out how much more she is payed. 10.24+1.60=12.04. She works 22.25 hours. It would take forever to add 12.04 22 and a quarter times so you multiply them. 12.04*22.25=267.89. So she would earn 267.89 dollars from working 22.25 hours.
For problem two you would start off by dividing 3/4 (the amount of pizza) by 5 (the five people) because when you do this it will give you the equal amount of pizza that each person can have. You get 0.15 which is equal to 3/20. So each person will get 3/20 of the 3/4 of the pizza that are left. (To simplify it the answer is 3/20) you can check your work by doing 3*5 which is 15. Make this the numerator and it’s 15/20. 15/20=3/4.
For the third problem you start off by putting aside the .25 of an ounce. Take the 3 ounces and multiply it by the cost per ounce 3.56. 3*3.56=10.68. Now that you have figured out how much 3 ounces cost out that aside. Now for the .25 of an ounce. Since .25 goes into one four times you do 3.56/4. It’s 0.89. This is how much it costs per .25 of an ounce. After that you add 10.68+0.89. It’s 11.57. To finish the problem you have to subtract 11.57 from 20 dollars. 20.00-11.57=8.43. The teacher receives $8.43 in change.
W=20.3
solve what's in the parenthesis, move the terms, calculate, then divide both sides.
To find the total amount, you will use the formula for finding compounded interest. This means you will be paid interest on top of the interest you have earned each year.
A = P(1 + r)^nt
P stands for the principal.
r is the interest rate when compounded annually
nt is the number of years
A = 17.50(1 + 0.04)^25
A = $46.65
This person would have $46.65 after 25 years.
You are given two x and y pairs: (100,45) and (570,162.5)
First solve for the slope, m.
m = (162.5 - 45) / (570 - 100)
m = 117.5 / 470
m = 0.25
Not only is "m" the slope but it is the rate (dollars per minute) in the question. So it's 25 cents per minute to use the phone.
After imputing "m" the linear equation looks like this:
y = 0.25x + b
Use either point as (x,y) to solve for the y-intercept "b". I'll use (100,45)
45 = 0.25(100) + b
45 = 25 + b
45 - 25 = b
20 = b
Not only is "b" the y-intercept but it is also always the flat fee added on to linearly increasing cost questions like this.
Final equation is:
y = 0.25x + 20
Part B.) If 939 minutes are used. Just put that in for x and solve for y.
y = 0.25(939) + 20
y = 234.75 + 20
y = 254.75