Answer: 26
Step-by-step explanation:
Just replace y with 15 and j with 7
15 - 7 + (6 x 3)
8 + 18
26
1.Find the compound interest on Rs25000 for 3 years at 10% per annum ,Compounded annually.
Plzz answer this question in step by step explanation.
Answer:
The compound interest is Rs8275
Step-by-step explanation:
The rule of the compound interest is A = P[tex](1+\frac{r}{n})^{nr}[/tex], where
A is the new amountP is the initial amountr is the interest rate in decimaln is the number of periodst is the timeThe interest I = A - P
∵ The amount of investment is Rs25000 for 3 years
∴ P = 25000
∴ t = 3
∵ The rate of interest is 10% per annum, compounded annually
∴ r = 10% = 10 ÷ 100 = 0.1
∴ n = 1 ⇒ compounded annually
→ Substitute these value in the 1st rule above to find the new amount
∵ A = 25000[tex](1+\frac{0.1}{1})^{1(3)}[/tex]
∴ A = 25000[tex](1.1)^{3}[/tex]
∴ A = Rs33275
→ Use the 2nd rule above to find the interest
∵ I = 33275 - 25000
∴ I = 8275
∴ The compound interest is Rs8275
Hurry please
What are the slope and y-intercept of the linear function
graphed to the left?
O slope: -2; y-intercept: 2
O slope: -1/2 y-intercept: 1
O slope: 1/2y-intercept: 2
O slope:2, y-intercept: 1
Answer:
B. slope: -1/2 , y-intercept: 1
rise over run. go down one, means a negative 1. too the right twice, means positive 2. y-intercept is obvious, it's just the point in which the line intercepts the y-axis.
What is the number 2.0847 to 2 decimal places?
Answer:
2.08
Step-by-step explanation:
The space-x rocket had traveled 8,918 meters in 7 seconds after its launch. How fast was the rocket traveling in meters per second?
m
A) 136°
C) 145°
B) 91°
D) 140°
Answer:
136° is right answer-----------------------The perimeter of a rectangular pool is 336 m.
If the width of the pool is 73 m, what is its length?
Length of the pool:
Answer:
The length of the pool is 462 m.
Step-by-step explanation:
The length of the pool is 462 m. We know this is the answer because, if we plug in the known width and known perimeter into the equation for the perimeter of a rectangle, we get:
73 * 462 = 336
Therefore, the length of the pool is 462 m.
please help me out!! it’s either option 1, option 2, option 3, or option 4
Answer:
It's option 2
Step-by-step explanation:
parallel to the x-axis basically means that it mirrors the x-axis since parallel lines have the same slope. since the question wants the graph with the line that is also below the x-axis, the correct graph would be option 2
Answer:
Option 2 is parallel to the x axis because only option 1 and 2 are a line across and option 1 is 3.2 units above.
help me 20 POINTS
math math math by the way do questions 10 and 13 on page 176
Answer:
Step-by-step explanation:
12.
13. Yes it is propoitinal because they are even
HELP PLEASE !!!!!!!! ITS VERY URGENT!!!!!
Answer:
M TO L
Step-by-step explanation:
Its right there.
Answer: L
Step-by-step explanation:
Please help!!!! ASAP
Answer:
A
Step-by-step explanation:
I just put the first one in desmos to see if it was the same
At jonathan's school, there are 30 seventh graders participating in the school play. of the students in the seventh grade, 60% are not participating in the school play. how many seventh graders at jonathan's school are not participating in the school play? a. 75 b. 60 c. 45 d. 20
Answer:
A) 75 students
Step-by-step explanation:
30 students = 40%
so 100% = 75
Identify the ordered pair and quadrant (or axis) for each point on the graph.
Answer:
Top right: quadrant 1
Top left: quadrant 2
Bottom left: quadrant 3
Bottom right: quadrant 4
The first number of an ordered pair is the x axis, and the second is the y axis
A: 10,3 quadrant 4
B:8, 9 quadrant 2
c: 3,2 Q 3
D: 4,0 Q4
E:4,7 Q3
F: 8,7 Q1
G: 0,7 Q4
H: 1,5 Q1
WILL MARL BRAINLIEST!!!!!!!
Answer:
A
Step-by-step explanation:
A Ferris wheel at an amusement park is modeled by (x – 70)2 + (y – 77)2 = 5,184, where the measurements are in feet. A slingshot attraction is modeled by y = –4x2 + 40x + 50. Which attraction reaches a greater height, and what does it represent in terms of the context?
A. The slingshot reaches a greater height at 50 feet, which is the vertex of the parabola.
B. The Ferris wheel reaches a greater height at 184 feet, which is the highest point on the circle.
C. The Ferris wheel reaches a greater height at 149 feet, which is the highest point on the circle.
D. The slingshot reaches a greater height at 150 feet, which is the vertex of the parabola.
Answer:
D. The slingshot reaches a greater height at 150 feet, which is the vertex of the parabola.
Step-by-step explanation:
First let's examine the given equations
[tex]\displaystyle \rm\\(x -70)^2 + (y-77)^2 = 5184 ............. (1)\\y = -4x^2 + 40x + 50 ............... (2)[/tex]
Equation (1) is of the form of a standard equation for a circle
[tex]\displaystyle \rm (x-a)^2 + y-b)^2 = r^2\\\\[/tex]
where (a, b) is the center of the circle and r is the radius
Equation (2) is the standard equation of a parabola
y = ax² + bx + c where a, b and c are constant
So we know that the Ferris wheel motion is circular while the slingshot motion is parabolic
Let's compute the highest point at which the Ferris wheel reaches.
Given,
[tex]\displaystyle (x-70)^2 + (y-77)^2 = 5184[/tex]
We can see that r² = 5182 by comparing it to the circle equation[tex]\displaystyle x_v=-\dfrac{40}{2\left(-4\right)}[/tex]
Therefore r = √5184 = 72. The diameter = 144 which is the highest point vertically from the center of the circle
The highest point on the circle = 144 + 5= 149 m since there is a 5' gap between the Ferris wheel and the ground at the lowest point so that has to be taken into account
For the parabola the vertex is the highest point and its x-coordinate given by [tex]\displaystyle \dfrac{-b}{2a}[/tex] in the standard equation for a parabola
Comparing the given equation with the standard equation we see that a = -4, b = 40 and c= 50
Therefore [tex]x_v[/tex] the x-coordinate of the vertex:
[tex]\displaystyle x_v=-\dfrac{40}{2\left(-4\right)} = 5[/tex]
The y coordinate of the vertex can be found by plugging in this value into the parabolic equation
[tex]\displaystyle y_v=-4\cdot \:5^2+40\cdot \:5+50 = 150[/tex]
This being the vertical coordinate of vertex of the parabola, the highest point that the slingshot reaches is 150'
So correct answer is D
Find the value of each angle.
Answer:
1)112°
2)68°
3)90°
4)90°
5)22°
6)158°
Step-by-step explanation:
Answer:
1. 112º
2. 68º
3. 90º
4. 90º
5. 22º
6. 158º
Step-by-step explanation:
4 - vertical angle to 90º
3 - supplementary to 90º, 180º - 90º = 90º
2 - vertical angle to 68º
1 - supplementary to 68º
5 - all angles in a triangle add up to 180, 180º - 90º - 68º = 22º
6 - supplementary to 22º
PLEASE HELP ME! EASY QUESTION PLEQSE EXPLAIN
Answer:
C
Step-by-step explanation:
Here, we want to interpret what is meant by m(10) = k
Originally M(n) represents the fee in dollars for an nth drive
So M(10) will represent the fee in dollars for the 10th drive and is equal to K dollars
Correct option is C
write the equation of a line parallel to the line with the equation
a. 3x- 6y=12 b. 5x-y=10
Answer:
[tex]y=\frac{1}{2}x+6[/tex] and [tex]y=5x+8[/tex]
Step-by-step explanation:
The big thing to remember with this is that parallel lines have the same slopes. We can isolate the y-variable in both of these to get the slope-intercept form, which just makes it easier to see the slope.
a. 3x-6y=12
[tex]-6y=-3x+12\\y=\frac{1}{2}x-2\\[/tex]
Now that we know the slope, we can have any y-intercept except for the original one, they just need to have the same slope. So an equation that could work is [tex]y=\frac{1}{2}x+6[/tex].
b. 5x-y=10
This equation can be solved in the exact same way.
[tex]-y=-5x+10\\y=5x-10[/tex]
Parallel line: [tex]y=5x+8[/tex]
Again, it does not matter what the y-intercept is, they just can't have the same one. The slopes have to be the same.
Hope this helps!
The European Working Time Directive (EWTD) directs that staff should work no more than an average of 48 hours a week, over a 13-week period. You work from 9:00 - 18:45 with a 30 minutes lunch break for three days a week and from 10:30 - 21:00 two days a week with a 45 minutes break. You also work from 10:00 – 14:00 every second Sunday. Are your hours EWTD compliant?
Answer:
it is not EWTD compliant
Step-by-step explanation:
Given that :
Directive = maximum average working hours per week = 48 hours
Engagement :
9:00 - 18:45 = (9 hrs 45 mins) - 30 mins = 9hrs 15 mins
9 hrs 15 mins for 3 days = 27 hours 45 mins
10:30 - 21:00 = (10 hrs 30 mins) - 45 mins = 9 hrs 45 minutes
Sundays (10:00 - 14:00) = 4 hours
Total work hours per week :
2(9hrs 15 mins) + 3(9hrs 45 mins) + 4 hours =;
18 hrs 30 mins + 29 hrs 15 minutes + 4 hours
(18 + 29 + 4) + 45 minutes
51 hours 45 minutes.
51 hours 45 minutes > 48 hours ; a Hence, it is not EWTD compliant
x-5=√x + 1
solve and check for extraneous solutions
help me answer this q1
Answer: B is the answer yup B
Please due soon, please explain too.
Answer:
x>-15/4
Step-by-step explanation:
1/3(6/8+1/2x)>-3/8
3/4 + 1/2 x>- 9/8
6+4x>-9
4x>-9-6
4x>-15
x>-15/4
the perimeters of two squares are in the ratio 2 : 7. What is the ratio of the area of the smaller square to the area of the larger square
The ratio of the area of the smaller square to the area of the larger square, that have a perimeter ratio of 2:7 is 4:49
What is the ratio of the area given the ratio of the perimeters of the squares?The ratio of the perimeter of the squares = 2 : 7
Required: The ratio of the area of the smaller square to the larger square.
Solution: The perimeter of a square of side x is 4•x
The comparative length of the side of each square are therefore;
2/4 and 7/4
The comparative area are therefore;
(2/4)² and (7/4)²The ratio of the areas of the square is therefore;
(2/4)² : (7/4)² = 1/4 : 49/16
Multiplying both sides of the ratio by 16 gives;
16×1/4 : 16×49/16
4:49
The ratio of the area of the smaller square to the area of the larger square is 4 : 49Learn more finding the area of common shapes here:
https://brainly.com/question/15161819
#SPJ1
what is the slope of (2,3) and (6,4)
Find the gradient of the line segment between the points (0,-3) and (1,-8).
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ - 5}}}}[/tex]
☪[tex] \tt{Question} : [/tex]
Find the gradient / slope of the line segment between the points points ( 0 , - 3 ) and ( 1 , -8 ).☥ [tex] \tt{Step - by - step \: explanation : }[/tex]
☄[tex] \tt{Solution : }[/tex]
[tex] \sf{Step \: 1} : [/tex] Assign one of the ordered pairs to be ( x₁ , y₁ ) and another to be ( x₂ , y₂ )
[tex] \sf{(0 \: - 3) \longrightarrow}[/tex] ( x₁ , y₁ )[tex] \sf{(1 \: - 8 \: ) \longrightarrow}[/tex] ( x₂ , y₂ )[tex] \sf{Step \: 2} : [/tex] Substitute values into the slope formula and then simplify :
[tex] \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1}}} [/tex]
↦ [tex] \sf{ \frac{ - 8 - ( - 3)}{1 - 0}} [/tex]
↦ [tex] \sf{ \frac{ - 8 + 3}{1} }[/tex]
↦ [tex] \boxed{ \sf{ - 5}}[/tex]
Hence , Our answer is [tex] \boxed{ \sf{ - 5}}[/tex].
Hope I helped!
Have a wonderful day / night ツ
~TheAnimeGirl ♪
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I need help with the car questions. Pls it’s due in 10 minutes
Answer:
1250 7500 3
Step-by-step explanation: im just smart
What transformation is represented by the rule?
Answer:
rotation 180 about the origin
Step-by-step explanation:
Answer:
Rotation of 180° about the origin.
HARD QUADRATICS!!!! A quadratic of the form $-2x^2 + bx + c$ has roots of $x = 3 + \sqrt{5}$ and $x = 3 - \sqrt{5}.$ The graph of $y = -2x^2 + bx + c$ is a parabola. Find the vertex of this parabola.
Answer:
hold up this will take a min to work out
Step-by-step explanation:
What is the first step to isolate the variable term on one side of the equation?
Answer:
The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.
Step-by-step explanation:
What strategy would be the best to solve this problem?
A theater charges $8 for an adult ticket, and $6 for a children's ticket. On a certain day, a total of 255 tickets were sold for a total cost of $1,850. How many more children's tickets were sold than adult tickets?
A. guess, check and revise
B. use a formula
C. work backwards
D. look for a pattern
Answer:
B
Step-by-step explanation:
By making an equation where x = number of adult tickets and y = number of children tickets, we can get 2 equations:
8x + 6y = 1850
x + y = 255
then we solve the equation to get each of the amounts
Two sides of a triangle have lengths 6 and 16. What must be true about the length of the third side?
Answer:
it is 6
Step-by-step explanation: