Answer:
$3,784
Step-by-step explanation:
PLEASE HELP FAST AND PLEASE DON'T POST A LINK
Your parents are planning to rent you an apartment when you go to college. The annual contract is $535.00/month with a 2-month penalty for breaking the lease. The month-to-month contract is $615.00/month. What is the difference in the amount paid if you leave after 8 months?
Answer:
The difference in amount = $430
Step-by-step explanation:
1- Annual contract:
The annual contract means a contract for 12 months. There is a month penalty for breaking the lease.
This means that, if you left after 8 months, you will have to pay for 10 month.
Total paid = monthly payment * 10
Total paid = 535 * 10 = $5350
2- Month-to-month contract:
You will only paid for the 8 months you stayed,
Total paid = monthly payment * 8
Total paid = 615 * 8 = $4920
3- Getting the difference:
We can note that a month-month contract is a better option if you intend to stay for only 8 months
Difference = 5350 - 4920 = $430
Hope this helps :)
Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric that is 4 ¼ yards. How many more yards of fabric does Rebecca need to make the quilt
Answer:
3 3/4
Step-by-step explanation:
Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h ( t ) = − 16 t 2 + 16 t + 480 h(t)=−16t 2 +16t+480, where t is the time in seconds and h is the height in feet. What is the maximum height that Jason reaches?
Answer:
484feet
Step-by-step explanation:
If the height as a function of time could be modeled by the function h(t)=−16t^2 +16t+480, where t is the time in seconds and h is the height in feet.
The maximum height of Jason occurs when dh/dt = 0 (velocity is zero)
dh/dt = -32t + 16
0 = -32t + 16
32t = 16
t = 16/32
t = 1/2
t = 0.5secs
Get the maximum height
Recall that h(t)=−16t^2 +16t+480
Substitute t = 0.5
h(0.5)=−16(0.5)^2 +16(0.5)+480
h(0.5) = -4 + 8 + 480
h(0.5) = 4 + 480
h(0.5) = 484
Hence the maximum height reached by Jason is 484feet
The maximum height that Jason reaches is h = 484 feet and it will be reached at t = 0.5 sec.
How to find the maximum of a polynomial function?Let the function be denoted by [tex]y = f(x)[/tex]
If it is twice differentiable, then, firstly, we differentiate it with respect to x and equate with 0 to find the critical values.
Let the obtained critical values be [tex]x_1, x_2, ... x_n[/tex]
The second derivative of that function is then evaluated on those critical values.
The [tex]i^{th}[/tex] critical value has got the maximum if [tex]f''(x_i) < 0[/tex]
That means, if at [tex]x = x_i[/tex] , we get
[tex]f'(x-i) = 0\\and\\f''(x_i) < 0[/tex]
Then that point is where function will have maximum.
If [tex]f''(x_i) > 0[/tex], then the point where the function will have minimum
If value of second rate at point [tex]x_i[/tex] is 0, then we go for third rate of function and check the same facts so on for upper rate(if they exist).
For the given case, we're given the height function as:
[tex]h(t) = - 16t^2 + 16t + 480[/tex]
The function is infinitely differentiable as its polynomial(by a theorem).
Its first and second rate with respect to 't', we get;
[tex]h(t) = - 16t^2 + 16t + 480\\h'(t) = -32t + 16\\h''(t) = -32 < 0[/tex]
Thus, all critical points will be maximum points.
The critical points are evaluated by [tex]h'(t) = 0[/tex]
They are calculated as:
[tex]h'(t) = 0\\-32t + 16 = 0\\t = 0.5 \: \rm sec[/tex]
The height at t = 0.5 s is evaluated as:
[tex]h(0.5) = - 16(0.5)^2 + 16(0.5) + 480 = 484 \: \rm feet[/tex]
Thus, at time 0.5, the height function will be at its maximum value(484 feet). That means, the height of Jason will be maximum when time will be 0.5 seconds from initial time.
Learn more about maximum and minimum values here:
https://brainly.com/question/13333267
How many seconds are in an hour? is this a statistical question or non-statistical question.
Answer:
There are 3600 seconds in an hour.
non-statistical
Step-by-step explanation:
Their is 60 minutes in a hour. 1 minute is equally to 60 seconds.
60 * 60 = 3600
Everyone will say the same answer so it is non statistical.
Hope this helps!
Isabelle rides her bike to school. The graph shows her speed at different times during her ride.
Select the word that describes Isabelle’s speed during the indicated interval.
Time Interval Speed
0 to 2 minutes
3 to 4 minutes
6 to 8 minutes
9 to 11 minutes
Answer:
0 to 2 minutes - Accelerating
3 to 4 minutes - Constant
6 to 8 minutes - Decelerating
9 to 11 minutes Accelerating
hope i have helped u
Step-by-step explanation:
Write a proportion comparing the rise to the run for each of the similar slope triangles shown at the right. Then find the numeric value.
Answer:
AB/CΔ=BC/ΔE {similar triangles}
[tex]2/4=2/4[/tex]
[tex]1/2=1/2\\[/tex]
so numeric value= 1/2
---------------------------------
hope it helps....
have a great day!!
The ratio of the cost of a ticket to the number of tickets is 15:1. If the Cox family spent $45 on
tickets, how many tickets did they buy?
They bought 3 tickets! Hope this helps :) ✨
Solve for x. Round your answer to the nearest tenth (one decimal place).
Answer:
[tex]\displaystyle x \approx 6.7[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cosθ = adjacent over hypotenuseStep-by-step explanation:
Step 1: Define
Angle θ = 78°
Adjacent Leg = x
Hypotenuse = 32
Step 2: Solve for x
Substitute in variables [cosine]: [tex]\displaystyle cos78^\circ = \frac{x}{32}[/tex][Multiplication Property of Equality] Multiply 32 on both sides: [tex]\displaystyle 32cos78^\circ = x[/tex]Rewrite: [tex]\displaystyle x = 32cos78^\circ[/tex]Evaluate: [tex]\displaystyle x = 6.65317[/tex]Round: [tex]\displaystyle x \approx 6.7[/tex] The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5.50 and each adult ticket sells for $10. The auditorium can hold at most 140 people. The drama club must make no less than $1100 from ticket sales to cover the show's costs. If
xrepresents the number of student tickets sold and
y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
x=66 y=74
Step-by-step explanation:
5.5x + 10y = 1100
x + y = 140
---
y = 140 - x
---
5.5x + 10(140-x) = 1100
5.5x + 1400 - 10x = 1100
-4.5x = -300
x = 66.67
---
x = 66
y = 74
= $1103
Who walked the shortest distance on the trail?
Answer:
charles
Step-by-step explanation:
What is 20% off a 15$ shirt?
12.50
12
10
Answer:
12
Step-by-step explanation:
15 multiplied by 20% is 3
Subtract 3 from 15 and you get 12
it takes 61 pounds of seed to completely plant an 11- acre field. how many pounds of seed are needed per acre
HELP PLEASE!!
ABCD is rotated counterclockwise about the origin. By how many degrees was ABCD rotated?
Answer:
180 degrees
Step-by-step explanation:
I have 40 dollars. If the tickers are 3 for $5 how many tickets do I have?
Answer:
You can get 24 tickets
Step-by-step explanation: You do the math
y=330(1.06)^x
answer
Answer:
349.8^x
Step-by-step explanation:
330*1.06=349.8
Answer:
6% increase
Step-by-step explanation:
Subtract:
60.3 - 4.92 = 0
Answer:
60.3−4.92=0
Subtract 4.92 from 60.3 to get 55.38.
55.38 = 0
Compare 55.38 or 0.
Answer:55.38=0
Step-by-step explanation:
Rewrite without absolute value for the given conditions: y =|x −3|+|x +2|−|x −5|, if x >5
9514 1404 393
Answer:
y = x + 4
Step-by-step explanation:
For x > 5, the expressions in each absolute value argument are all positive, so we can simply remove the bars and sum the terms.
y = x - 3 + x + 2 - x + 5
y = x +4
What is the area for the triangle? Pls help!
Answer:
the area is 24cm squared
Step-by-step explanation:
Jacob has a rectangular garden with an area of 56 square feet.The length of the garden is 8 feet.What is the width if the garden?
Answer:
The width of the garden is 7 feet.
Step-by-step explanation:
If the area is 56 feet, and the length is 8 feet, we can put this into the area equation.
Area = width * length
A = wl
Substitute variables.
56 = 8w
Divide by 8.
7 = w, or w = 7.
The width of the garden is 7 feet.
Ileana buys a large circular pizza that is divided into eight equal slices. She measures along the outer edge of the crust from one piece and finds it to be 512 inches. What is the diameter of the pizza to the nearest inch? A.4 in. B.7 in. C.8 in. D.14 in.
Answer:
14 inches
Step-by-step explanation:
She measures along the outer edge of the crust from one piece and finds it to be 5.5 inches.
We need to find the diameter of the pizza. A pizza is divided into 8 equal parts.
The circumference of one part = [tex]\dfrac{2\pi r}{8}=\dfrac{\pi r}{4}[/tex]
So,
[tex]\dfrac{\pi r}{4}=5.5\\\\2r=D=14\ inch[/tex]
So, the diameter of the pizza is 14 inches.
Find the volume of the
rectangular prism.
2 cm
8 cm
5 cm
V = [?] cm3
The volume of a rectangular prism is 80 cm³.
The dimensions of a rectangular prism are length=8 cm, breadth=5 cm and height=2 cm.
What is the formula to find the volume of a rectangular prism?The formula to find the volume of a rectangular prism is l×b×h.
Now, the volume of a rectangular prism=8×5×2=80 cm³.
Therefore, the volume of a rectangular prism is 80 cm³.
To learn more about a rectangular prism visit:
https://brainly.com/question/21308574.
#SPJ2
Write 142 as a fraction or mixed number
Answer: 142/1
Step-by-step explanation:
Answer:
1.42 or 71/50
Step-by-step explanation:
In order to get the answer just divide.
71÷60=1.42
Answered by the ONE & ONLY #QUEEN herself aka #$$$DRIPPQUEENMO!!
I HOPE THIS HELPED!!!
Find the value or X. Round your answer to the nearest tenth.
Answer:
x = 9.3
Step-by-step explanation:
tan 25° = x/20
0.4663 = x/20
x = 9.3
Ted is making a red and yellow quilt with dimensions of 72 in by 90 in is how many square feet of fabric does he need
Answer:
https://socratic.org/answers/327824 click on the link
The frequency,f kilohertz of a radio wave is inversely proportional to its wavelength, Ym. The frequency of a radio wave that has a wavelength of 3000m is 100 kHz. Find (i) The frequency of a radio wave that has a length of 500m (ii) The wavelength of a radio wave that has a frequency of 800kHz
Step-by-step explanation:
The frequency of a radio wave that has a wavelength of 3000m is 100 kHz
(a) Wavelength = 500 m
We know that,
[tex]f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{500}\\\\f=600\ kHz[/tex]
(b) Frequency, f = 800 kHz
[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{800\times 10^3}\\\\\lambda=375\ m[/tex]
Hence, this is the required solution.
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
Identify the terms, like terms, coefficients, and constants in 7-5y+2+1
Answer:
coefficient is 5y
constants are 7,2,1
no like terms
Lucy purchase a swimsuit and a towel. The towel represent 30% of the total cost. If she spent $15.00 on the towel, then what was her purchase total
Answer:
$50
Step-by-step explanation:
Given data
Let the total purchase be x
Hence 30% of x is $15
Let us find the value of x
30/100*x= 15
0.3*x=15
0.3x=15
x= 15/0.3
x= $50
Hence the purchase is $50
Answer:
$50 is the total
Step-by-step explanation:
30% over 100% = 15 over x
then you cross multiply and get:
30x = 1500
you then divide both sides by 30
30 and 30 cross out
1500 ÷ 30 = $50
Which equation goes with the graph
Simplify the expression
(3x4 + 9x3 – 7x + 15) + (-6X4 – 8x2 + 5x – 3)
Answer:
If the numbers next to the "x" are "carroted" ( ^ ) then the answer is
-3x^4 + 9x^3 -8x^2 -2x +12
Step-by-step explanation:
Basically, you just add the like terms together.
