In this question, we're trying to find how much Paul will pay per month in premiums.
We know that the plan costs $7,710 for a year
In order to find his premium cost per month, we need to get the total price for the year and divide it by 12, since there are 12 months in a year.
Solve:
7,710 ÷ 12 = 642.50
This means that he'll pay $642.50 a month.
Answer:
$642.50
Answer: The value of x is 45
Step-by-step explanation:
The equation x/3-6=9 is a linear equation, where x/3 is the same as one-third of x.
Thus it is easily simplified as such:
x/3-6=9
Collect like terms
x/3 = 9 + 6
x/3 = 15
i.e (1/3) of X = 15
To get the value of x, cross multiply
x = 3 x 15
x = 45
Thus, the value of x is 45
In 48 days, they would have consumed 108 gallons, and have 22 left, so yeah. 48 days
The sum of the first five terms is 11/2
<h3>How to determine the sum?</h3>
The series is given as:
1/2, -1,2,-4…
Calculate the common ratio of the series using
r = -4/2
Evaluate
r = -2
The sum is then calculated as:

This gives

Evaluate

Evaluate

Hence, the sum of the first five terms is 11/2
Read more about series at:
brainly.com/question/11346378
#SPJ1
Answer:
69 feet
Step-by-step explanation:
we have

where
h(t) is the height of the ball
t is the time in seconds
we know that the given equation is a vertical parabola open downward
The vertex is the maximum
so
the y-coordinate of the vertex represent the maximum height of the ball
Convert the quadratic equation into vertex form
The equation in vertex form is equal to

where
(h,k) is the vertex of the parabola







the vertex is the point (2,69)
therefore
The maximum height is 69 ft