I can save $2,128 in my academic year and my roommate can save $392 in their academic year.
Step-by-step explanation:
Total housing amount= rent + electricity= $1,025 + $60= $1,085 per month
My rent is 40% of $1,085 which equals $434 a month while my roommate’s rent would be 60% of $1,085 which equals $651 a month.
The scholarship gives me $700 a month for housing out of which I spend $434 and my roommate spends $651.
I save; $700 - $434 = $266 a month
My roommate saves; $700 - $651 = $49 a month.
An academic year lasts for 8 months so my savings= $266 x 8 = $2,128
My roommate’s savings= $49 x 8 = $392
Answer:
$2,128
Step-by-step explanation:
Expenses is allocated based on the decided ratios. Expenses and Inflows
Expenses will be calculated for 8 Months time period.
Rent = 1,025 x 8 months = $8,200
Electricity Expense = $60 x 8 = $480
Total Expense = $8,200 + $480 = $8,680
Total Scholarship = $700 x 8 = $5,600
Out of Pocket Cost = $8,680 x 40% = $3,472
Saving is the difference between The scholarship received and the Expenses made from pocket.
Saving = $5,600 - $3,472 = $2,128
10
2
5
2
6
7
9
2
3
Calculate the mean,
median and mode of the
following set of numbers.
Answer:
Step-by-step explanation:
Mean= 10+2+5+2+6+7+9+2+3/9
=46/9 = 5.11
Arrange in Ascending order:
2,2,2,3,5,6,7,9,10
Mode = 2 ( that occurs most number of times)
Median = 5 ( median is the middle term)
Solve by factoring:
4x² - 8x=0
Answer:
Step-by-step explanation:
4x² - 8x= 0
4x(x -2) = 0
: 4x = 0 or x - 2 = 0
4x = 0
Dividing by 4
x = 0/4
x = 0
And
x - 2 = 0
x = 2
What is the value of x?
Enter your answer in the box.
°
Answer:
x = 111
Step-by-step explanation:
Sum of interior angles= (n-2)*180= (7-2)*180 = 5*180 = 900
x + 139 + 121 + 125 + 126 + 158 + 120 = 900
x + 789 = 900
x = 900 - 789 = 111
x = 111
Twelve decreased by twice a number is the same as 8 times the sum of the number and 4. What is the number.
Answer: -2
Step-by-step explanation:
Let the number be x , then twice the number is 2x.
Twelve decreased by twice the number = 12 - ( 2x )
8 times the sum of the number and 4 = 8 ( x + 4 )
combining the two , we have
12 - 2x = 8 ( x + 4 )
12 - 2x = 8x + 32
12 - 32 = 8x + 2x
-20 = 10x
x = -20/10
x = -2
Find the two missing terms of the sequence and determine if the sequence is arithmetic, geometric, or neither.
3, 1, -1, -3, __, __
how do u compare rate of change and slope help plz
Step-by-step explanation:
The slope is described by the the initial and final value of one quantity over the difference between the initial and final of the other
Rate: for points on a Cartesian plane,(x1, y1) and (x2, y2)
the slope, m= (y2 - y1)/(x2 - x1)
The rate of change on the other hand is mostly refers to how much a quantity is changing with time i.e the rate of change of y from y1 to y2 can be expressed as
rate = (y2 - y1)/(t2 - t1)...where t1 and t2 are the various time in y1 and y2 respectively...
Anita's mother hosted a party. The table shows the costs. Use associative property to write two equivalent expressions that could be used to find the total amount spent. TABLE ITEM:cake COST: $12 ITEM: hot dogs and hamburgers COST:$24 ITEM:drinks COST: $6
Using the associative property of addition, two equivalent expressions to find the total cost are: (1) ($12 + $24) + $6 and (2) $12 + ($24 + $6). Both expressions will yield the same result due to the associative property.
The question involves using the associative property of addition to find equivalent expressions for the total cost of items bought for Anita's mother's party. The total costs given are for three items: cake ($12), hot dogs and hamburgers ($24), and drinks ($6). To demonstrate the associative property, we can group the costs in different ways before adding them.
The first expression could group the cost of the cake and hot dogs and hamburgers together, then add the cost of drinks: ($12 + $24) + $6.The second expression could group the cost of hot dogs and hamburgers and drinks together, then add the cost of the cake: $12 + ($24 + $6).Both expressions will yield the same total cost when calculated, which shows the associative property of addition in action.
Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola. x^2 + 2y^2 = 2
This is an equation representing the ellipse
Explanation:
The general equation for an ellipse is [tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex] so, when you simplify it according to the characteristics of a and b, you would end up in the similar form of the equation givenwhere a represents half the length of the major axis and b represents half the length of the minor axis. The easiest method to identify, look at whether both the variables are squared, and also the coefficient of x and y should be positive but different.Fast forward a few years...and suppose you need to get your car repaired. You see the ads above. Your father, who knows a bit about cars, says it will probably take 3 hours to fix your car. How do you determine where you should take your car to get it repaired?1. Write an equation for each repair shop to represent the total cost of the car repair as a function of the number of hours worked.Let x = number of hours worked Let y = total cost to you
Mikes repair shop $100 service charge plus $65 per hour Amys auto repair $40 service charge plus $80 per hour write an equation for each repair shop to represent the total cost of a car repair as a function of the number of hours worked let C = total cost to you let h = number of hours worked. Suppose you need to get the dent in your car repaired you see the ads above in the newspaper your father who knows a bit about cars said it would take no more than 3 hours for the repair person to fix your car how do you determine where you should take your car to get it repaired
-Mike Cost:: M(3) = 100 +65*3 = $295
-Amy Cost:: A(3) = 40 + 80*3 = $280
------------------------------------------------------------
-Mike charges 100 dollars service charge plus 65 dollars per hour.
-Amy charges 40 dollars service charge plus 80 dollars per hour.
-The cost to repair from mike is 100 + 65 * x.
-The cost to repair from amy is 40 + 80 * x.
------------------------------------------------------------
Let x = 3 and you get:
The cost to repair from mike is 100 + 65 * 3 = 295 dollars.
The cost to repaid from amy is 40 + 80 * 3 = 280 dollars.
As long as the time to repair is 3 hours or less, the cost to repair will be cheaper from Amy.
Which equation represents the line that passes through points (0,6) and (2,0)?
A) y= -1/3x + 2
B) y= -1/3x + 6
C) y= -3x +2
D) y= -3x + 6
( yes, im that dumb, sorry )
Answer:
D) y= -3x + 6
Step-by-step explanation:
y = mx + p
m = slope = (0-6)/(2-0) = -6/2 = -3
p = y-intercept = 6 ,because the line passes through points (0,6)
Answer:
D) y= -3x + 6
F(x)=2x+6
G(x)=-5x-9
Find the product of f and g.
A.-10x^2-54
B.-10x^2-48x-54
C.-10x^2-12x-54
D.-10x^2+48x-54
Answer:
Step-by-step explanation:
F(x) = 2x + 6
G(x) = - 5x - 9
product of F and G .....the product is the result of multiplication
(2x + 6)(-5x - 9) =
-10x^2 - 18x - 30x - 54 =
-10x^2 - 48x - 54 <====
Wu make and fill out the table using equation
Y = 4x - 2
Answer:
[tex]x = \frac{1}{4} y + \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]y = 4x - 2[/tex]
first flip
[tex]4x - 2 = y[/tex]
now add 2 to each side
[tex]4x + 2 = y + 2[/tex]
now
[tex]4x = y + 2[/tex]
divide by 4
[tex]4x \div 4 = 4 + 2 \div 4[/tex]
so
[tex]x = \frac{1}{4} y + \frac{1}{2} [/tex]
J. Reexamine the sequence 20, 14, 8, 2, ... from the problem
term of the sequence.
-- from the problem above. Write an equation for the nth
Answer:
The n th of the given sequence is [tex]t_{n} = 26-6 n[/tex]
Step-by-step explanation:
Step 1 :-
Given sequence is 20,14,8,2,.......this sequence in arithmetic progression but this sequence is decreasing sequence.
given first term is 20 and difference is[tex]d = second term- first term = 14-20=-6[/tex]
now the nth term of given sequence is
by using formula [tex]t_{n}=a+(n-1)d[/tex]
[tex]t_{n}= 20+(n-1)(-6)[/tex]
[tex]t_{n}= 20-6 n+6[/tex]
final answer:-
[tex]t_{n} = 26-6 n[/tex]
verification:-
[tex]t_{n} = 26-6 n[/tex]
put n=1 we get first term is 20
put n=2 we get second term is 14
put n=3 we get third term is 8
put n=4 we get fourth term is 2
so the n th term of sequence is
[tex]t_{n} = 26-6 n[/tex]
What’s the slope of y=-7x+5
Answer:
m=-7
Step-by-step explanation:
The slope intercept form is y=mx+b.
So, the variable that represents slope is x.
If your plug your equation in, -7 would be the slope.
Nate scored 5 more than twice the number of points as jake scored. write an expression that represents the relationship of the number of points Nate scored in terms of the number of points jake scored,p. help pls
Answer:
2p+5=n
(p = Jake's points) (n = Nate's points)
The relationship between Nate's and Jake's scores can be expressed by the expression N = 2p + 5.
Explanation:The relationship between the number of points Nate scored (represented by N) and the number of points Jake scored (represented by p) can be expressed as:
N = 2p + 5
This expression represents that Nate's score is equal to twice the number of points Jake scored, plus 5.
if k is a constant, what is the value of k such that the polynomial k^2x^3 - 6kz+9 is
divisible by x-1?
The value of k that makes the polynomial k^2x^3 - 6kz + 9 divisible by x-1 is 3. This is found using the Remainder Theorem and substituting x=1 into the polynomial and solving the resulting equation.
Explanation:The question asks for the value of k such that the polynomial k2x3 - 6kz + 9 is divisible by x-1. To find the value of k, we use the Remainder Theorem, which states: if a polynomial f(x) is divisible by x-c, then f(c) = 0.
Applying this theorem, we set x=1 and solve for k:
Therefore, the value of k that makes the polynomial divisible by x-1 is 3.
in the standard equation for a line,what does the variable b stands for .
y=mx+b
Answer: y-intercept
Explanation The "b" or the constant term represents the y-intercept which is the point where the line crosses the y-axis.
Find the value of x. Round your answer to the nearest tenth.
A.) 52.6
B.) 52.9
C.) 6.2
D.) 6.5
Answer:
Option A: 12.5
Step-by-step explanation:
We use trigonometric ratios on this right angled triangle.
[tex]$ cos \hspace{1mm} \theta = \frac{adj}{hyp} $[/tex]
we get:
[tex]$ cos \hspace{1mm} 28^{\circ} = \frac{11}{x} $[/tex]
Also cos 28° = 0.88
Therefore, x = [tex]$ \frac{11}{0.88} $[/tex]
[tex]$ = \frac{100}{8} =\textbf{12.5} $[/tex]
OPTION A is the answer.
what is n/8=11/5 solve for n
Answer:
n = 17.6
Step-by-step explanation:
Cross-multiply and you have:
5 * n = 11 * 8
5n = 88
n = 88/5 = 17.6
Suppose your parents invest $20,000 in an account paying 5% interest compounded annually. What will the balance be after 10 yr?
Answer:
$32,577.89
Step-by-step explanation:
Use the formula for amount after compound interest. A = P(1 + i)ⁿ
'P' is the principal, meaning starting amount. P = $20,000
'i' is the interest per compounding period in decimal form. Since the compounding period is annual, just like the interest rate is given as, i = 0.05. If the compounding period was not annual: then i = r/c (annual interest rate divided by number of compounding periods in a year).
'n' is the number of compounding periods, or the number of times the interest increases. n = 10. Calculate 'n' using n = tc (number of years times number of compounding periods in a year). Since c=1, n = t. ('t' is the number of years).
'A' is the amount after 'n' years. We need to find A.
Use all of the numbers that we know for the variables, replace the variables with the numbers in the formula. Solve for 'A'.
A = P(1 + i)ⁿ
A = $20,000(1 + 0.05)¹⁰ Add inside brackets first
A = $20,000(1.05)¹⁰ Do (1.05)¹⁰ then multiply by 20,000
A = $32,577.89 Answer
Therefore the balance will be $32,577.89 after 10 years.
what is the slope of (1,2) and (4,11)
Answer:
slope = 3
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 2) and (x₂, y₂ ) = (4, 11)
m = [tex]\frac{11-2}{4-1}[/tex] = [tex]\frac{9}{3}[/tex] = 3
Answer:
3
Step-by-step explanation:
y2 - y1/ X2 - X1
11 - 2/ 4-1
9/3
= 3
A video game system costs $185 and one video game costs $14.95. You can spend no more than $280 on the system and games. set up and solve an inequality to calculate the maximum number of games you can purchase
Answer:
Therefore the maximum number of video games that we can purchase
is 6.
Step-by-step explanation:
i) Let us say the number of video game system we can buy that costs $185
is x and the number of video games of cost $14.95 is y.
ii) The total amount we can spend on the purchase of the video game
system is $280.
iii) Now with the amount of $280 mentioned in ii) we can see that the
number of game systems that can be bought is 1.
Therefore x = 1.
Therefore the equation we can write to equate the number of video
games and video game system is given by $185 + $14.95 × y ≤ 280
Therefore 14.95 × y ≤ 280 - 185 = 95
Therefore y ≤ 95 ÷ 14.95 = 6.355
Therefore the maximum number of video games that we can purchase
is 6.
PLEASEEE HELPPP ASAPP! THANK YOU LOTS!! <3 (7TH GRADE MATH)
btw January: -5/8 and July: 6 5/8
Answer:
Therefore the change in water level over the course of 9 months is a drop in level of 3.4 cm (= -3.4 cm)
Step-by-step explanation:
i) change in water level over the course of 9 months =
[tex]- \frac{5}{8} - 0.4 - 0.4 - 6 - 2.9 + 3.2 + 6\frac{5}{8} - 3.2 + 0.3[/tex]
= [tex]-0.625 - 0.4 - 0.4 - 6 - 2.9 + 3.2 + 6.625 - 3.2 + 0.3[/tex]
= -3.4
Therefore the change in water level over the course of 9 months is a drop in level of 3.4 cm (= - 3.4 cm)
What is an equation of the line that passes through the points (7,-6)(3,-6)
Answer:
Step-by-step explanation:
Since both points have their y coordinate as -6, and this is a line,
Then your answer would be y = -6
the graph of f(x)=|x| is reflected across the x-axis, moved 2 units to the right and 7 units down. What is the function?
The transformed function after reflecting f(x)=|x| across the x-axis, moving it 2 units to the right, and 7 units down is f(x)=-|x-2|-7.
Explanation:The original function is f(x)=|x|.
When the graph of the function is reflected across the x-axis, it changes the sign of the output or y-coordinate.
Thus, the absolute value function becomes f(x)=-|x|.
When this function is moved 2 units to the right, it results in a shift in the coordinate of x within the function, thus becoming f(x)=-|x-2|.
Lastly, when the function is moved 7 units down, 7 is subtracted from the function, resulting in the final equation of f(x)=-|x-2|-7.
Learn more about Function Transformations here:https://brainly.com/question/26896273
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Evaluate the expression if b = 3.
12 (63 -1)
6=3
2
1/2(3^3-1)
1/2(27-1)
1/2(26)
13
Answer:
13
Step-by-step explanation:
Replace b with 3, then multiply 3^3 get the answer then subtract by 1, last multiply what u got from the paranthesis by 1/2
An outfielder throws a ball vertically upward with a velocity of 30 meters per second. Its distance from the ground after t seconds is approximately equal to 30t - 5t² meters. How many seconds will it take the ball to reach its maximum distance from the ground?
15
6
1.5
3
Answer:
12
Step-by-step explanation:
I calbvkjy
The answer is 3 :)
Have a nice day!
In rectangle LMNP LN=7x-8 and MP=4x+1 find the length of LN
Answer:
LN = 13 units.
Step-by-step explanation:
If LMNP is a rectangle, then LN and MP are the two diagonals of the rectangle and they are equal.
Now, given that LN = 7x - 8 and MP = 4x + 1
So, 7x - 8 = 4x + 1
⇒ 3x = 9
⇒ x = 3
Therefore, LN = 7x - 8 = 7(3) - 8 = 13 units. (Answer)
Hank has eight action figures this is 12 less than the quotient of 60 and the number figures palo has
Answer:
6
Step-by-step explanation:
hold up hold up so you are saying 60 less than what quotient I'm guessing 68 divided by 12 so the answer would be 6
Pls help me x+4=__+24 I don’t know the answer pls I really need this 200 points I give you
Answer:
x-20
Step-by-step explanation:
x+4=y+24
x=y+24-4
x=y+20
y=x-20