Answer: I think it might be A but then again I am only in 6th grade so, whatever!
Step-by-step explanation:
It took Sebastian 10 years to repay a loan of $30,000, paying $296.66 per month. Jana paid off a loan for the same amount at the same interest rate in 5 years by paying $545.75 per month. How much more did Sebastian pay in interest than Jana?
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
Work out the size of angle x.
Answer:
13 degrees.
Step-by-step explanation:
First we calculate the other 2 angles of the triangle of which < x is a part.
The bottom angle = 85 (vertical angles are equal).
The top one = 180 - 98 = 82. ( corresponding and adjacent angles).
So angle x = 180 - (85 + 82).
= 180 - 167
= 13 degrees.
A ladder leans against a wall creating a 58 angle. The ladder reaches 4.5m up the wall. Calculate how long the ladder is
Answer:
Follow the steps above
find the equation of the circle with center at (3 -2) and radius of 3.
Answer:
(x - 3)² + (y + 2)² = 9
General Formulas and Concepts:
Pre-Calculus
Equation of a Circle: (x - h)² + (y - k)² = r²
(h, k) is centerr is radiusStep-by-step explanation:
Step 1: Define
Center (3, -2)
h = 3k = -2Radius r = 3
Step 2: Write Equation
Substitute [EC]: (x - 3)² + (y + 2)² = 3²Exponents: (x - 3)² + (y + 2)² = 9A constant volume of pizza dough is formed into a cylinder with a relatively small height and large radius. The dough is spun and tossed into the air in such a way that the height of the dough decreases the radius increases, it retains its cylindrical shapeAt time of the dough 1/3 inch, the radius of the dough is 12 inches, and the radius of the dough is increasing at a rate of 2 inches per minute at the area of the circular surface of the dough increasing with respect to time? Show answer and numerical answer and units of measure.
Answer:
The rate of change of each circular surface of the dough is approximately 150.796 in.²/minute
Step-by-step explanation:
The given parameters are;
When the radius of the dough, r = 12 inches, the radius is increasing at 2 inches per minute
Therefore, we have;
dr/dt = 2 in./min
The area of the circular surface of the dough, A = π·r²
The rate of change of each (top or bottom) circular surface area of the dough dA/dt is given as follows;
dA/dt = d(π·r²)/dt = π·2·r·dr/dt
Where;
r = 12 in.
dr/dt = 2 in./min
Substituting, we have;
dA/dt = π·2·r·dr/dt = π × 2 × 12 in. × 2 in./min ≈ 150.796 in.²/minute.
The rate of change of each circular surface of the dough = dA/dt ≈ 150.796 in.²/minute.
Translate the figure 4 units left and 3 units down.
Step-by-step explanation:
Check the photo
~~~~~~~~~~~~~~
The translated equation of line 7y = 4x + 24 is given as 7y = 4x + 3, and the figure is attached below.
What is translation?A shape is translated when it is moved to the left, right, up, or down without turning. Congruence is demonstrated by the fact that the translated shapes (or the image) seem to be the same size as the original ones. Simply said, they have changed their path or directions.
Given:
The figure is shown, The line is passing through (1, 4) and (8, 8),
The equation of the line in the given question can be written as,
y - 8 = (8 - 4) / (8 - 1) (x - 8)
y - 8 = 4 / 7 (x - 8)
7(y - 8) = 4(x - 8)
7y - 56 = 4x - 32
7y = 4x - 32 + 56
7y = 4x + 24
The slope of the line is 4 / 7
The translated equation can be written as,
y - (-3) = 4 / 7 (x - (-4))
y + 3 = 4 / 7 (x + 4)
Thus, the (1, 4) coordinate will become (-3, 1) and the (8, 8) coordinate will become (4, 5), The figure is attached below.
To know more about translation:
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assignment
1 of
POSSIBLE POINTS: 2
Two students, Brian and Alexa, both broke their chromebooks. Brian has $50 in his bank account and makes 12 dollars for every driveway
that he shovels. Alexa has 10 dollars in her bank account but makes $20 for every driveway that she shovels. The graph is shown below
20
Answer:
8267
Step-by-step explanation
What is the slope (1,5),(10,2)
Answer:
m=-1/3
Step-by-step explanation
y2=2,y1=5 , x2=10 , x1= 1
m=y2-y1/x2-x1
m=2-5/10-1
m=-1/3
3/9 because if u plot the 2 points on a graph it will be 3 up and 9 over.
6 is 16% of what number?
Answer:
37.5
Step-by-step explanation:
Answer:
6 is 16% of the number 37.5
Step-by-step explanation:
We have, 16% × x = 6
or, 16/100 × x = 6
Multiplying both sides by 100 and dividing both sides by 16,
we have x = 6 × 100/16
x = 37.5
Which equation shows the correct use of the Distributive Property?
Hi,
I cannot see the equations so...
Does the graph represent an arithmetic sequence or geometric sequence?
Group of answer choices
Geometric sequence because the graph models a linear function.
Arithmetic sequence because the graph models an exponential function.
Geometric sequence because the graph models an exponential function.
Geometric sequence because the graph models a quadratic function.
Arithmetic sequence because the graph models a linear function.
Arithmetic sequence because the graph models a quadratic function.
Answer:
it is geometric because it multiplies by a factor of 3
Help with number 2 please
Answer:
3 in a half miles
Step-by-step explanation:
(2x-3)^2 = 4x-6
Find one value of x that is a solution to the equation
Answer:
one value of x would be x=5/2 and x=3/2
Step-by-step explanation:
Two books have a total of 345 pictures of dogs.
The first book has 121 pictures of dogs. How many
pictures of dogs are in the second book?
Answer:
224
Step-by-step explanation:
Simply do 345-121 to find the answer
On a particular day, the Dow Jones had a rate of change of -2.1%. Which of the following statements must also be true?
A. The S&P 500 increased.
B. Every stock in the Dow Jones decreased
C. The Nasdaq decreased
D. The average of the 30 stocks in the Dow Jones decreased
Answer:D
Step-by-step explanation: the average of the 30 stocks in the Dow Jones increased
help me with the question in the image please help me out :)
Step-by-step explanation:
(7 + x) / 3 = 2x - 5
7 + x = 3(2x - 5) (multiply 3 on both sides)
7 + x = 6x - 15 (distributive property)
5x = 22 (arrange like terms)
x = 4.4 (divide 5 on both sides)
2 [32-(4-1) power of 3
What is the cosine of angle B? Can anyone help with this please? ❤️
Answer:
a
Step-by-step explanation:
What is the image point of (4,-7)(4,−7) after a translation right 4 units and up 5 units?
The new coordinate of point (4,−7) after a translation right 4 units and up 5 units is (8,-2).
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
Given the point (4,-7)
If we transformed any point (x,y) to 4 units right then it will add in x so x + 4, and 5 units up then it will add in y so y + 5.
So,
4 units right → 4 + 4 = 8
5 units up → -7 + 5 = -2
So the new coordinate will be (8,-2)
Hence "The new coordinate of point (4,−7) after a translation right 4 units and up 5 units are (8,-2)".
To learn more about the transformation of graphs,
brainly.com/question/3099136
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(3 + 3) x 5
explain yo answer
Answer:
30
Step-by-step explanation: you add 3+3 and multiply 5 and get 6x5 is 30
Solve the following proportion for u.
3/17 = u/13
Answer:
2.294117647
Step-by-step explanation:
3/17 = u/13
Cross multiply:
3 * 13 = 17 * u
Simplifying
3 * 13 = 17 * u
Multiply 3 * 13
39 = 17 * u
Solving
39 = 17u
Move all terms containing u to the left, all other terms to the right.
Add '-17u' to each side of the equation.
39 + -17u = 17u + -17u
Combine like terms: 17u + -17u = 0
39 + -17u = 0
Add '-39' to each side of the equation.
39 + -39 + -17u = 0 + -39
Combine like terms: 39 + -39 = 0
0 + -17u = 0 + -39
-17u = 0 + -39
Combine like terms: 0 + -39 = -39
-17u = -39
Divide each side by '-17'.
u = 2
Simplifying
u = 2.294117647
2(x-6)+3x+4=
Helpppppp.
Answer:
5x + (-8)
Step-by-step explanation:
2(x-6)+3x+4=
Distribute:
(2)(x)+(2)(−6)+3x+4
=2x+−12+3x+4
Combine Like Terms:
(2x+3x) + (-12+4)
= 5x+(-8)
Need help finding x
Answer:
x= 50°
Step-by-step explanation:
the total angles in a triangle must equal 180 so just subtract 80 and 50 from 180
Answer:
x = 130°
Step-by-step:
I looked at the triangle with the angles 50° and 80°. to find the missing angle in that triangle, you want to add the numbers and then subtract 180° from that because when you add all three sides of a triangle, it equals 180°. So when you add 50° and 80°,you get 130°. Now you have to do 180° - 130° and you get 50°. Now that you have the missing angle for the last triangle, you can use that angle to find the measure for the line across from that. To do that, you have to take 180° and subtract 50°. You would get 130°. Your answer for x is 130°.
HELP!!!Will Give Brainliest to correct answer!!! 40 POINTS!!!
Answer:
115
Step-by-step explanation:
The person above is right your ratio is the key to divide all the sizes.
(15 POINTS!!!) Solve 4 two-step equations:
1. 2x + 12 = 4
2. -5c + 9 = -16
3. -12 = -7 + x/4 (<-- x divided by 4)
4. -n/6 + 4 = 3
25. A bag contains colored tiles.
• 3 tiles are red
• 6 tiles are green
• 3 tiles are blue
Atile will be randomly selected from the bag. What is the probability in decimal
form that the tile selected will be green?
Which of the following shapes is a parallelogram that always has four congruent sides?
rhombus
trapezoid
rectangle
kite
square
Answer:
Square and Rhombus
Sorry for being late
what is 8 x 23
+ 6
3 + 2
Answer:
8x23 +6+3+2 = 195
Step-by-step explanation:
used PEMDAS <3 hope this helps
34.23 times one year is ....
Answer:
410.76
Step-by-step explanation:
34.23 * 12= 410.76
1 year = 12 months
A. No solution
B. All solutions
C. One solution
Answer:
A. No solutions
Step-by-step explanation:
The solution of the equations would be a point where both functions meet but in our case since the functions are parallels to each other they will never meet there for there will never be a solution to the following system of equations.