Answer:
$2,854.2
Step-by-step explanation:
For Sebastian
It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month.
1 year = 12 months
10 years = x
Cross Multiply
x = 10 × 12 = 120 months
He pays $296.66 monthly
Hence, the total amount he paid in 10 years =
$296.66 × 120
= $35,599.2
The loan he took was $30,000.
Hence, the interest Sebastian paid on his loan = $35,599.2 - $30,000
= $5,599.2
For Jana
Jana paid off a loan for the same
amount at the same interest rate in 5 years by paying $545.75 per month.
1 year = 12 months
5 years = x
Cross Multiply
x = 10 × 5 = 60 months
He pays $545.75 monthly
Hence, the total amount he paid in 5 years =
$545.75 × 60
= $32,745
The loan she took was $30,000.
Hence, the interest Sebastian paid on his loan = $32,745 - $30,000
= $2,745
How much more did Sebastian pay in interest than Jana?
This is calculated as:
The interest Sebastian paid - The Interest Jana paid
= $5,599.2 - $2,745
= $2,854.2
Therefore, Sebastian paid $2,854.2 more than Jana
please please pleaseeeee help me!!
Answer:
wanna see my pokemon cards
Step-by-step explanation:
Work out the percentage change when a price of £40 is decreased to £18.
Write the ratio of ears to toes on an average person? (in simplest form)
type your answering using one of the following... (NO SPACES)
to
Answer:
1:5
Step-by-step explanation:
DivideByTwo
answers for both boxes please
-0.1 , l 9/8 l , 10 , 5/6 , -0.02 least to greatest
Answer:
-0.02, -0.1, 19/81 ,5/6 ,10
Step-by-step explanation:
Find
The value of x pls I need help
Answer:
x= 30
Step-by-step explanation:
 I WILL GIVE BRAINLIEST AND POINTS HELP PLEASE
Answer:
a) [tex]( -[/tex]∞[tex], -\frac{4}{3}[/tex][tex])[/tex] ∪ [tex](-\frac{4}{3}[/tex] , ∞[tex])[/tex]
b) [tex][-\frac{5}{2} ,[/tex] ∞)
Step-by-step explanation:
The domain of a function is known as the input. We need to find whatever set of numbers can be plugged into every x of a function so that the result is a real number.
a) This problem is a fraction alone, so we need to find out what input of x will make the denominator zero - that will be the number we "skip" when writing out the domain. This is because if the denominator were zero, then it would be 1 divided by 0, which would be undefined and therefore not a real number.
To find this number, we can just take the denominator and solve for x:
[tex]3x + 4 = 0[/tex]
[tex]3x = -4\\x = -\frac{4}{3}[/tex]
Therefore [tex](-[/tex]∞, [tex]-\frac{4}{3}[/tex]) ∪ [tex](-\frac{4}{3},[/tex] ∞[tex])[/tex] is our answer.
b) This problem is just a square root alone, so we need to find out what input of x will make the number inside the square root negative - that number, and the numbers less than it, will be the numbers that we "skip." This is because if the number inside the square root was negative, then it would produce an imaginary answer and not a real one.
A simple trick to find the domain would be to set the terms inside the square root greater than or equal to 0 then solve for x:
[tex]2x + 5\geq 0 \\2x \geq -5\\\\x \geq \frac{-5}{2}[/tex]
Thus, the domain would be any number greater than or equal to [tex]-\frac{5}{2}[/tex], which in interval notation would be written [tex][-\frac{5}{2} ,[/tex] ∞).
Under her cell phone plan, Hannah pays a flat cost of $65.50 per month and $4 per
gigabyte, or part of a gigabyte. (For example, if she used 2.3 gigabytes, she would
have to pay for 3 whole gigabytes.) She wants to keep her bill under $70 per month.
What is the maximum whole number of gigabytes of data she can use while staying
within her budget?
Answer:
1 gigabyte
Step-by-step explanation:
70-65.50=4.5
The maximum whole number of gigabytes of data she can use while staying within her budget 2 gigabytes.
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now given that,
Flat cost per month = $65.50
Cost per gigabyte = $4
Let x be the total gigabytes she uses in a month.
Thus, Cost of gigabytes of month = 4x
So, total bill of the month = 65.50 + 4x
Now since, Hannah wants to keep her bill under $70 per month
⇒ 65.50 + 4x ≤ 70
Subtracting 65.50 both the side we get,
4x ≤ 70 - 65.50
⇒ 4x ≤ 4.50
Dividing 4 both the side we get,
⇒ x ≤ 1.125
Since she has to pay for the whole gigabytes
⇒ x ≤ 2
which is the required gigabytes she can use to keep her bill $70.
Thus, the maximum whole number of gigabytes of data she can use while staying within her budget is 2 gigabytes.
To learn more about inequality :
https://brainly.com/question/13363104
#SPJ2
Which statement describes a series of transformations that would show that Figure A is congruent to Figure B?
A. Figure A is reflected over line m and translated 4 spaces to the right.
B. Figure A is reflected over line m and translated 7 spaces to the right.
C. Figure A is reflected over line k and translated 8 spaces down.
O D. Figure A is translated 4 units down and 4 units to the right.
E. Figure A is translated 8 units down and 7 units to the right.
Answer:b
Step-by-step explanation:
A paper company produces 4,050 notebooks in 5 days. How many notebooks can it produce in 13 days?
Answer:
10530
Step-by-step explanation:
4050 notebooks in 5 days
1 day=810
13 days=10530
please mark as brainliest!!!
Equivalate a +4 when a=7
Answer:
11
Step-by-step explanation:
Plug in the variable into the equation. 7+4=11
Answer:
11
Step-by-step explanation:
a is 7 so 7 + 4 = 11
this should be the answer if not i dont know. sorry
The school is landscaping an area for a soccer field. If the
dimensions are 60 feet by 35 feet. What is the area of the soccer
field?
Answer: 2100 square feet
Step-by-step explanation: 60 x 35=2100
Answer:
2100 ft squared!
Step-by-step explanation:
The formula to find the area of a rectangle is L * W = A
Where A is the total area, and L and W are the dimensions.
Since we know what the dimensions of the rectangles are, we can replace L and W to find out the area. This will look like this: 60 * 35 = A
Now we just have to multiply 60 and 35 to find A. This will simplify to 2100, which means the total are of the rectangle, or in this case, the soccer field, is 2100 ft squared!
Work out the value of x
Answer:
x=35
Step-by-step explanation:
A pentagon's sum of interior angles is 540 degrees.
Now, we can set up an equation.
(4x - 57) + (3x + 15) + 4x + (2x - 3) (3x + 25) = 540
Combine similar terms
16x - 20 = 540
16x = 560
x = 35
if you are looking for gae anime to watch YOU NEED TO WATCH GIVEN
Answer:
.....
..
Step-by-step explanation:
umm.
ok free points if
A piece of wood is 0.9 metres long.
It is cut into three unequal pieces.
The first piece is 0.2 metres longer than the second piece.
The third piece is 23 hundredths of a metre shorter than the second piece.
How long is each piece of wood?
Answer:
The length of the first piece is 0.51 m
The length of the second piece is 0.31 m
The length of the third piece is 0.28 m
Step-by-step explanation:
The question is a simultaneous equation with word problem
The total length of the wood = 0.9 m
The number of pieces the wood is cut into = 3
The length of the first piece = 0.2 m + The length of the second piece
The length of the third piece = The length of the second piece - 0.23 m
Let "y" represent the length of the second piece, let "x" represent the length of the first piece, and let "z" represent the length of the third piece, we have;
x = 0.2 + y...(1)
z = y - 0.23...(2)
x + y + z = 0.9...(3)
Therefore, by substitution, we have;
0.2 + y + y + y - 0.23 = 0.9
3·y - 0.03 = 0.9
3·y = 0.9 + 0.03 = 0.93
y = 0.93/3 = 0.31
y = 0.31
The length of the second piece = y = 0.31 m
From equation (1), we have;
x = 0.2 + y = 0.2 + 0.31 = 0.51
x = 0.51
The length of the first piece = x = 0.51 m
From equation (2), we have;
z = y - 0.23
z = 0.51 - 0.23 = 0.28
z = 0.28
The length of the third piece = z = 0.28 m.
a) Rotation, then reflection
b) Translation, then rotation
c) Rotation, then translation
d) Translation, then reflection
what is the value of y in the solution to the system of equations 5x-y=25 and x+4y=-10
Answer:
y=-3.571
Step-by-step explanation:
To get rid of the x's make the other x cancel out the other.
5x-y=25+(-5(x+4y=-10)=-21y=75= -3.571
Answer:
x+4y =10
5x-y =25
Step-by-step explanation:
x=10-4y
5(10-4y)-y =25
50-20y-y =25
50-21y = 25
-21y = 25-50
-21y =-25
y =25/21
Substitute y =25/21 in equation 1
x + 4(25/21) = 10
x +100/84 =10
x=10-100/84
Will mark brainliest, if correct.
Answer:
Maybe M' (3, -2)
Step-by-step explanation:
please answer this, thank you
Answer:
3
Step-by-step explanation:
I have showed the steps in the attached image.
The graph of the system of equations
x + 2y = 8
3x + 6y = 13
will give:
A. parallel lines
B.
lines that coincide
C.
perpendicular lines
D.
none of these
Answer:
A. parallel lines
You can also use the app desmos to help you graph equations.
Write a equivalent expression for (4n + 14) + (5 + 8n)
Answer:
= 12n + 19
Step-by-step explanation:
6x + ? = -10x
? =
Does anyone know this.
Answer:
-16x
Step-by-step explanation:
6+(-16)=-10. If they all have "x", just combine like terms.
Answer:
?=-16x
Step-by-step explanation:
6x+?=-10x
-6x -6x
?=-16x
I hope this is right, I don't know how to get the exact value of ? but if the ? was a number I would be able to solve for x.
I NEED HELP ASAPPPP!!!!!!!!!!!!!!
HELP I NEED HELP ASAP
Answer:
Step-by-step explanation:
yes his work looks good
step 1 multiply both side by 2
step 2 subtract both side by 6
step 3 divide both side by 5
:)
Can someone tell me what’s at the slope is for this one ?
Answer:
to find the slope of any graph
use this equation
Step-by-step explanation:
[tex]m = \frac{y2 - y1}{x2 - x1} \\ \frac{8 - 0}{2 - 0} \\ m = 4[/tex]
Jason is installing new carpet in a room. The dimensions of the room are shown in the diagram. what is the area of the floor?
I NEED HELP NOW ITS DUE TOMORROW!
A farmer owns a total of 14 acres in land. The land is separated into 5 5/6 equally sized sections. How many acres are in each section?
Write your answer as a mixed number in simplest form.
Answer:
2 2/5
Step-by-step explanation:
14 divided by 5/6 is 2 2/5
The basic ratio of blue to red for paint is 4:7. How many quarts of blue paint should be mixed with 21 quarts of red paint to get purple?
Translate the quadrilateral W(-2,2), X(-3,3), (-6,5), 2(-6,3)
using the transformation (x-2,y+3).
Answer:
New Coordinates W(-4, 5), X(-5, 6), (-8, 8), 2(-8,6)
What is the value of a?
Answer:
9
Step-by-step explanation:
