Answer:
Bill spent $988 on taxes.
Step-by-step explanation:
First, you have to find the total amount that Bill spent last month on taxes and groceries as the statement says that he spent 40% of the total amount on that:
$6,000*0.4=$2,400
Then, the statement indicates that the total amount Bill spent on taxes was 70% of the amount he spent on groceries.
Let's consider that:
x=taxes
y=groceries
With the information we can write the following:
x+y=2,400 (1)
x=0.7y (2)
You can replace 2 in 1:
0.7y+y=2,400
1.7y=2,400
y=2,400/1.7
y=1,412
Then, you can replace the value of y in 2:
x=0.7(1,412)
x=$988
According to this, Bill spent $988 on taxes.
Answer: The same number of tickets was sold on the fourth day and tenth day.
Step-by-step explanation:
Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.
If average rate of change in T(d) for the interval d = 4 and d = 10 is is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.
Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."
Answer:
7th week
Step-by-step explanation:
Let us represent the number of weeks as x
Jill begins the summer with $500 in her savings account. Each week, she withdraws $20.
$500 - $20× x
500 - 20x
Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week.
$150 + $30 × x
150 + 30x
At what week will both Jill and Sam have the same amount in their account?
We solve this be Equating both Equations together
Jill = Sam
500 - 20x = 150 + 30x
Collect like terms
500 - 150 = 30x + 20x
350 = 50x
Divide both sides by 50
50x/50 = 350/50
x = 7 weeks
Therefore, at the 7 week, Jill and sam would have the same amount in their accounts
whatever% of anything is just (whatever/100) * anything.
800+1250+120+625+65 gives us 2860.
now, she doesn't get any commission from the 2000, just the surplus, the 860.
how much is 15% of 860? well is just (15/100) * 860.
The points: (0,4), (1,8),(2,10) is NOT a linear function as it doesnt pass the verticle line test. Linear function should always be in a straight line. Examples of linear functions: 4x + 3y = 6. Examples of nonlinear functions: y = 8x^2 + 10.
