A Cable company charges $70 per month for cable service to existing customers.
a. Find a linear equation representing he relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.
b. For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.
c. When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?
Increase 386.3 by 4%
Given:
Increase 386.3 by 4%.
To find:
The value for given statement.
Solution:
We have,
Initial value = 386.3
Increasing rate = 4%
The increased value is
[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]
[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]
[tex]\text{New value}=386.3+15.452 [/tex]
[tex]\text{New value}=401.752[/tex]
Therefore, the required value is 401.752.
Is 3 a factor of 24s - 167
yes
no
HELPPP
Over what interval is f(x) negative? Justify your answer.
Answer in interval notation is (-3, 1)
This is the same as saying -3 < x < 1
=====================================================
Explanation:
Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.
These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.
Deja, Ryan, and Jamie walked in the same race on Friday. their race was 1/4 the length of Alex's 20-kilometers race on Sunday. How many more meters did Alex than Deja and Jamie walked together.
1 kilometer=1,000 meters
Answer:
Their race was 1/4 the length of Alex's 20km = 20 x 1/4 = 5 km
Alex than Deja and Jamie walked together : 20 - 5 = 15 km = 15000 m
Step-by-step explanation:
1 1 point
Answer each of the following. Write your final answers in the blanks provided.
A building is 50 ft. high. At a distance away from the building, an architect observes that the angle of elevation to the top of the building is
28° How far is the observer from the base of the building? Round to the nearest foot.
Answer:
58
Step-by-step explanation:
57.5 round up. 58
00:00
A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally.
Part A
Which expression shows the change in profit for each owner?
O A. -5,400 + 8
O B. -5,400 - 8
OC -5,400.8
OD. -5,400 + 8
Which expression explains how to split the debt
Answer:
None of them. The proper expression(s) to split the debt are:
5400 / 8
or
8x=5400
Mr. Sampson wants to ship a birthday gift to his son in the navy. To meet shipping requirements at the Local U
Pack It We Ship it Store, the perimeter of the rectangular-shaped gift box must be less than 30 inches. Write
and graph an inequality to describe this situation.
X= length
Y= width
Answer:
Step-by-step explanation:
If length of the box = x
And width of the box = y
Then perimeter of the box = 2(length + width)
= 2(x + y)
Since, perimeter of the box is less than 30 inches.
2(x + y) < 30
x + y < 15
y < -x + 15
Since, this inequality has a sign of less than, line on the graph will be a dotted line.
y intercept of the dotted line y = 15 (by x = 0)
x intercept of the line x = 15 (by y = 0)
Constraints for the graph will be,
x > 0
y > 0
Now we can plot the dotted line by joining the x and y intercepts.
In this graph common region under the dotted line between x axis and y axis will be the solution area of the given inequality.
On Friday, a local restaurant served 150 customers. Of these, 114
people ordered soup. What percent of the customers ordered soup?
A: 13%
B: 66%
C: 34%
D: 76%
Suppose an object is launched from ground level directly upward at 57.4 f/s Write a function to represent the object’s height over time.
Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
Step-by-step explanation:
We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.
Then we can write:
a(t) = -32 ft/s^2
Where the negative sign is because this acceleration is downwards.
Now, to get the vertical velocity of the object, we need to integrate over time to get:
v(t) = (-32 ft/s^2)*t + v0
where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.
In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:
v(t) = (-32 ft/s^2)*t + 57.4 ft/s
To get the position equation we need to integrate over time again, to get:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0
Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.
then the position equation (that is the function that represents the height of the object as a function over time) is:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t
p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
The digit 5 in 5³ is known as
Answer: it is called the base
Step-by-step explanation:
if the angles of a triangle are 45°, 45°, and 90° show that the length of the hypotenues is √2 times as long as each leg
Answer:
Step-by-step explanation:
2
(a )square root of 2 (c)
Answer:
Step-by-step explanation:
1:Kevin Williams earns a weekly wage of $870. During the most recent week, he worked 47 hours. Gross Pay = $ 2:Charles Joyner earns a biweekly wage of $2,400. During the most recent week, he worked 42 hours. Gross Pay = $ 3:Julio Valdez earns an annual salary of $63,000. During the most recent week, he worked 42 hours. Gross Pay = $ 4:Bridget Stein earns a monthly salary of $7,300. During the most recent week, she worked 58 hours. Gross Pay = $ 5:Betsy Cranston earns a semimonthly salary of $2,100. During the most recent week, she worked 50 hours. Gross Pay = $
Answer:
Step-by-step explanation:
Ming and Daniel are selling cheese cakes for a school fundraiser. Customers can buy French silk cheesecakes and apple cheesecakes. Ming sold 6 French silk cheesecakes and 3 apple cheesecakes for a total of $114. Daniel sold 4 French silk cheesecakes and 5 apple cheesecakes for a total of $124. Find the cost of each of one French silk cheesecakes and one apple cheesecake.
Please help clarify answer and step by step explanation
Answer:
10
Step-by-step explanation:
When u cross multiply
[tex]5 \div x = 3 \div6[/tex]
= 3x=30(5*6)
= x=30/3
=x=10
Whoevers types first i will mark brainliest
Answer:
hehehe
Step-by-step explanation:
find the value of b
need help
Answer:
b=35
Step-by-step explanation:
Diagonals of a parallelogram always bisect each other, splitting it into two equal sections.
This means, b-8 is equal to 2b-43
b-8 = 2b-43
b+35=2b
b=35
Let me know if this helps!
Definition of equilateral triangle
Answer:
An equilateral triangle has all its 3 angles the same.
Hope this helped. :)
Equilateral triangle:
An equilateral triangle is a triangle having three equal sides, or what is sometimes referred to as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.
Additionally, an equilateral triangle has three equal angles of 60 degrees.
Equilateral Triangle Perimeter:
In geometry, any polygon's perimeter is equal to the sum of its sides. The perimeter of an equilateral triangle is equal to the sum of its three sides.
In the event that ABC is an equilateral triangle, then its perimeter is;
Perimeter = AB + BC + AC
P = a + a + a
P = 3a [where "a" is the triangle's side length.]
To read more about "Equilateral Triangle" here:
brainly.com/question/10681095
PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
Answer:
10
Step-by-step explanation:
2pi(5) is 31.42.
31.42/pi gets you exactly 10pi meters.
Brianliest for correct answer
Answer: i Think it would be 80
Step-by-step explanation: a right triangle is 90 degrees so how I got 80 is 90-10=80 I might be wrong though
can i please get some help asap
Which expression is equivalent to -6(3x-2/3)
Answer:
-18x + 4
Step-by-step explanation:
Five families have signed up to bring a pie. If a single serving of pie is 1/6 of the entire pie, how many people will 5 pies serve?
Answer:
30
Step-by-step explanation:
That means that there are 6 pie pieces in each pie so just multiply by 5
another thing we can do is get rid of 1/6 by multiplying by 6 which means we also have to multiply 5 by 6
1. SOCCER Suppose a youth soccer field has a
perimeter of 320 yards and its length measures 40
yards more than its width. Ms. Hughey asks her
players to determine the length and width of their
field. She gives them the following system of
equations to represent the situation. Use elimination to
solve the system to find the length and width of the
field.
2L + 2W=320
L - W = 40
Answer:
L = 100
W = 60
Step-by-step explanation:
2L + 2W = 320
-2L + 2W = -80
4W = 240
W = 60
L - W = 40
L - 60 = 40
L = 100
What is the value of tan(60°)?
A
12
30°
B
60°
14
Answer:
the answer is 1.7320508076
s=ut+ 1/2 at²
u=10 a= -2 t= 1/2
work out the value of s
3. A dragonfly traveled at a rate of 35 miles per hour for
2.5 hours. What distance did the dragonfly travel?
Answer:
70 miles
Step-by-step explanation:
You multiply 35 by 2.5
If 7x−6y=2 and −2x−y=3 are true equations, what would be the value of 5x−7y?
Answer:
-55
Step-by-step explanation:
7x-6y=2
-2x-y=3
by substitution method
y=3+2x
7x-6(3+2x)=2
7x-18-12x=2
-5x=20
x=-4
-2(-4)-y=3
8-y=3
-y=3-8
y=5
therefore the value of x=4 and that of y=5
5x-7y=5(-4)-7(5)
=-20-35
=-55
After 1 day, 300 copies of a book are sold. Each of the following days, 20 more copies are sold. Use an equation in point-slope form to model the sales of the book and determine how many copies will be sold after 15 days. copies
Answer:
the answer is 600!
Step-by-step explanation:
the formula would be... 300+20x when x=the amount of days, have a great day I hole this helped!
Answer:
300+20x, 600 total copies created.
Step-by-step explanation:
x= number of days.
20 papers per day.
20(15) is 300.
300+300=600
draw a line representing the rise and a line representing the run of the line. State the slope of the line in simplest form
Answer:
m = -1
Step-by-step explanation:
The slope of a line is calculated as ;
Given : (-2,3) and (2,-1)
m = Δy/Δx
m= -1-3 /2--2
m = -4 /4 = -1
The slope is -1
