Answer:
£2314.20
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where:
A = final amountP = principal amountr = annual interest rate (as a decimal)t = time (in years)Given:
P = £2100r = 5.1% = 0.051t = 2 years⇒ A = 2100(1 + 0.051 · 2)
⇒ A = 2100(1.102)
⇒ A = £2314.20
Find the point slope formula of negative (-6,0) and slope of 2/3
Answer:
[tex]y-0=\frac{2}{3}(x+6)[/tex]
Step-by-step explanation:
The point-slope formula is [tex]y-y_{1}=m(x-x_{1})[/tex]. Plug in the values from the given information and you have your answer.
A right triangular prism is sliced perpendicular to its base. What is the shape of the resulting two-dimensional cross section?
trapezoid
rhombus
rectangle
square
Answer:
answer is C. Rectangle
Step-by-step explanation:
The shape of the resulting two-dimensional cross section is a rectangle.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
A right triangular prism has a base that is a right triangle, and the prism has three perpendicular rectangular faces that join the two congruent triangles.
When this prism is sliced perpendicular to its base, the resulting two-dimensional cross-section will always be a rectangle.
This is because the cut will be perpendicular to the rectangular faces of the prism and the base triangle, resulting in a rectangle.
The length of the rectangle will be equal to the base of the triangle, and the width of the rectangle will be equal to the height of the prism.
Hence, shape of the resulting two-dimensional cross section is a rectangle.
To learn more on Three dimensional figure click:
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Segment AB falls on line 6x + 3y = 12. Segment CD falls on line 4x + 2y = 8. What is true about segments AB and CD?
They are parallel because they have the same slope of -2.
1
They are parallel because they have the same slope of
2
They are lines that lie exactly on top of one another because they have the same slope and the same y-intercept.
They are lines that lie exactly on top of one another because they have the same slope and a different y-intercept.
Answer: C
Step-by-step explanation:
The slope-intercept form of a line is given by
y = mx + b
m - slope
b - y-intercept
Segment AB lies on the line 6x + 3y = 12
6x + 3y = 12
3y = -6x + 12
y = -6/3x + 12/3
y = -2x + 4
Comparing with the slope-intercept form,
Slope = - 2
y-intercept = 4
Segment CD lies on the line 4x + 2y = 8
4x + 2y = 8
2y = -4x + 8
y = -4/2x + 8/2
y = - 2x + 4
Comparing with the slope-intercept form,
Slope = - 2
y-intercept = 4
Both the line segments have the same slope and the same y-intercept, so the two line segments will lie exactly on top of one another.
Therefore, the correct option is (c)
What is 45,803 in expanded form
Answer:
Step-by-step explanation:
What value for k would make the following equation have all solutions? k(x - 6) = 18 - 3x
*Answer Choices*:
k = -3
k = 6
k = -6
k = 3
Answer:
Your answer is: A) k = -3
Step-by-step explanation:
Hope this helped : )
100 POINTS HEELP PLSSS!!!
Answer:
See below.
Step-by-step explanation:
1.
y = 100 + 65x
y = 40 + 80x
100 + 65x = 40 + 80x
-15x = -60
x = 4
y = 100 + 65x = 100 + 260 = 360
(4, 360)
2.
The lines intersect at the point (4, 360).
At the point of intersection, where x = 4, it shows that by doing 4 hours of labor, both shops cost the same.
3.
Mike's:
y = 100 + 65x = 100 + 65(3) = 100 + 195 = 295
Amy's:
y = 40 + 80x = 40 + 80(3) = 40 + 240 = 280
For 3 hours of labor, Amy's shop is cheaper at $280. Mike's costs $295.
Answer:
1. (4, 360)
2. total cost at both repair shops is the same
3. Amy's Auto Repair: $280
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}y=100+65x\\y=40+80x\end{cases}[/tex]
Question 1
Solve by using the Substitution Method:
[tex]\implies 40+80x=100+65x[/tex]
[tex]\implies 40+80x-65x=100+65x-65x[/tex]
[tex]\implies 40+15x=100[/tex]
[tex]\implies 40+15x-40=100-40[/tex]
[tex]\implies 15x=60[/tex]
[tex]\implies 15x \div 15=60 \div 15[/tex]
[tex]\implies x=4[/tex]
Substitute the found value of x into one of the equations and solve for y:
[tex]\implies y=40+80(4)[/tex]
[tex]\implies y=40+320[/tex]
[tex]\implies y=360[/tex]
Therefore, the point of intersection is (4, 360)
Question 2
The two lines intersect at (4, 360). This means that the total cost at both repair shops is the same when it takes 4 hours to repair the car. The cost at this time is $360.
Question 2
To find the cost at both repair shops if it takes 3 hours to fix the car, substitute x = 3 into both equations and solve for y:
Mike's Repair shop:
[tex]\implies y=100+65(3)[/tex]
[tex]\implies y=100+195[/tex]
[tex]\implies y=295[/tex]
Amy's Auto Repair:
[tex]\implies y=40+80(3)[/tex]
[tex]\implies y=40+240[/tex]
[tex]\implies y=280[/tex]
Therefore, Amy's Auto Repair company is the cheapest at a cost of $280.
Keith bought 4 shirts for $36. At this rate, what would his cost be for 7 shirts?
Answer:
Your cost will be $63
Step-by-step explanation:
Look at the time on the following clocks
How much time has passed between the first clock and the second clock.
Answer:
41 minutes
Step-by-step explanation:
it is 41 minutes
What’s the name of the transformation???
Answer:
Translation
Step-by-step explanation:
Remember Translation as a 'Slide'
Answer:
translation
Step-by-step explanation:
hopes this help
A line passes through the point (-8,8) and has a slope of -5/4
Place parentheses in the expression to find a value other than 18. Then find the value of the new expression.
Answer:
I need a picture
Step-by-step explanation:
but if not then 3 +(1 + 14)
How many seconds are in 7 hours?
someone please help me!
Answer:
25200
Step-by-step explanation:
ez
Answer: There is 25,200
Step-by-step explanation:
60 seconds in an hour
70x60=25,200
The angle of a pentagon are x, x+10,x+20,x+30 and x+40 degree find all the angle of the pentagon
Answer:
59
Step-by-step explanation:
You have to add your numbers then subtract the last number you had.
Hope this doesn't help
#18 please help gang gang
Answer:A
Step-by-step explanation:
270/630 x 100= 43
answer: A
Step-by-step explanation:
270/630x100 =45
if △ ABC ~ △A'B'C' and AC=20cm,A'C'=15cm,B'C'=12cm andA'B'=9cm find the lengths of the other sides of △ABC.
Answer:
AB=12 BC=9
Step-by-step explanation:
Any side of a triangle must be shorter than the other two sides added together.
AB and A'B' must measure LESS than the other 2 sides
15 is 3/4 of 20
12 is 3/4 0f 9
20/15 12/9 = 1.3333333........
Two months ago, the mean daily rainfall in a local city was 9. 4 cm. The mean absolute deviation was 3. 5 cm. Last month, the mean daily rainfall in that city was 11. 5 cm, and the mean absolute deviation was 1. 6 cm. Which statement about the rainfall is true? More rain fell two months ago than last month. About the same amount of rain fell two months ago as last month. Last month, the amount of rain that fell each day varied about the same as the month before. Last month, the amount of rain that fell each day varied less than the month before.
Last month the amount of rain that fell each day varied about the same as the month before is the right statement about the rainfall, Option c is correct.
What is the mean absolute deviation?The average distance between each data point and the mean is the mean absolute deviation of a dataset. It offers us an indication of how variable a dataset is.
The given data in the problem is;
Two months ago,
The mean daily rainfall in a local city was 9. 4 cm.
The mean absolute deviation was 3. 5 cm
Last month
The mean daily rainfall in that city was 11. 5 cm
The mean absolute deviation was 1. 6 cm.
We can see that there was less variation last month than the month before since the mean absolute deviation is a measure of variance.
Hence Last month the amount of rain that fell each day varied about the same as the month before is the right statement about the rainfall, Option c is correct.
To learn more about the mean absolute deviation refer to the link;
https://brainly.com/question/10528201
Hillary swam 24 seconds faster than her last race. She wam the last race in 4 minutes and 12 seconds. How long did it take Hillary to swim this race!
Answer:
3 minutes and 48 seconds
Step-by-step explanation:
Answer: 4 minutes 36 seconds
Step-by-step explanation:
Add the 24 seconds to 4 minutes 12 seconds. 24 + 12 = 36
4 minutes 36 seconds
Need help I’m confused question is 7.50 per hour washing cars Graph the relationship between the number of hours Gilbert works and the total amount of money he earns .
Answer:
You would start your graph at (1,7.5) (2, 15) (3, 22.5) (4, 30) (5, 37.5)
Step-by-step explanation:
What you do is for every hour you add 7.50. I don' know how many hours you need to graph so I just gave you the first five, But you should start to see a pattern, just continue with the pattern and you will get it right! Hope this helps!
Pls answer pls pls
It would really help
Answer:
Step-by-step explanation:
When you're drawing an inequality on a number line there are a few things to focus on:
- Whether your variable is greater than or less than the number
- Whether it can be equal to the number or not
If it can be equal to the number your first dot will be filled in, if not it will be hollow
When it's less than it means you're moving to the left on your number line, if it's greater than you move right
Find the surface area of the figure above:
15 inches
the red part is the same as the bottom part of the shape, you do 3 x 5 because thats the measurements of the rectangle shaded in red
Solve.
2x – (3 – x) > x + 1
Answer:
x>2
Step-by-step explanation:
2x-3+x>x+1
3x-3>x+1
2x>4
x>2
HELP IN ONE HOUR AND I GIVE U THE BRIANLIEST
Calculate the area of the floor:
Area = 1.6 x 2.3 = 3.68 square meters
Using the given formula: Pressure = force/area
200 = force / 3.68
Solve for force by multiplying both sides by 3.68
Force = 200 x 3.68
Force = 736 N/m^2
Correct to the nearest 5N/m^2 = 735 N/m^2
First of all we need to calculate the area of the floor and then we will find the pressure using the formula for pressure...
[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]
Area of floor ↯
Length = 1.6 meterBreadth = 2.3 meter[tex] \sf \: area = length \times breadth[/tex]
[tex] \sf \: area = 1.6 \times 2.3[/tex]
[tex] \sf \: area = 3.68 \: {m}^{2} [/tex]
[tex]\purple{ \rule{300pt}{3pt}}[/tex]
Finding force ↯
Pressure = 200 N/m²Area = 3.68 m²[tex] \tt \: pressure = \frac{force}{area} [/tex]
[tex] \tt \: 200 = \frac{force}{3.68} [/tex]
[tex] \tt \: force = 200 \times 3.68[/tex]
[tex] \tt \: force = 736 \: newton[/tex]
Thus, The maximum force is 736 Newton...~
Miss Alison drew a box and whisker plot to represent her students scores on a midterm test. James received 47 on the test. How does James score compare to his classmates?
Answer: A
Step-by-step explanation:
About 25% scored higher; about 75% scored lower.
(n+1) 2 for n=-9 what is the answer
to this problem
Answer:
-16
Step-by-step explanation:
(n+1) 2 n=-9
Step 1 Plug in -9 for n: (-9+1)x 2
Step 2 Add -9 and 1: -8x2
Step 3 Multiply -8 and 2: -16
Suppose a jar contains 8 red marbles and 14 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Round your answer to 4 decimal places.
it would most likely be blue because its more
it would be a 57.1429%. of blue
What is an equation of the line that passes through the points (3, -1),(-3,1)
Answer: y=-x/3
Step-by-step explanation:
Trigonometry that’s due in one hour :(
Answer:
(a) [tex]\theta=\tan^{-1}(-0.890)[/tex]
[tex]\implies \theta=-41.66908262 \pm 180 \textdegree n[/tex]
[tex]\implies \theta=138.3309174..., 318.3309174...[/tex]
[tex]\implies \theta=138\textdegree, 318\textdegree[/tex]
(b) [tex]\theta=\cos^{-1}\left(\dfrac{\sqrt{3} }{2}\right)[/tex]
[tex]\implies \theta=30 \textdegree \pm360 \textdegree n, 330 \textdegree \pm360 \textdegree n[/tex]
[tex]\implies \theta=30 \textdegree , 330 \textdegree[/tex]
(c) [tex]\theta=\sin^{-1}\left(\dfrac{1 }{2}\right)[/tex]
[tex]\implies \theta=30 \textdegree \pm360 \textdegree n, 150 \textdegree \pm360 \textdegree n[/tex]
[tex]\implies \theta=30 \textdegree , 150 \textdegree[/tex]
A certain health insurance plan costs $3000 per year for a family of six. If each member of the family has $750 in medical expenses in a year, and the plan pays 100 percent of those expenses, how much will the family save by purchasing the plan?
Answer:
I think its $1,500
Step-by-step explanation:
6 times 750 = 4,500
4,500- 3,000= 1,500
[tex]5x - 3 = 3x + 7[/tex]
Solve for x:
A. 13
B. 14
C. 12
D. 11
[tex]\\ \sf\longmapsto \dfrac{BQ}{DQ}=\dfrac{RC}{CD}[/tex]
[tex]\\ \sf\longmapsto \dfrac{26}{39}=\dfrac{18}{x}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{3}=\dfrac{18}{x}[/tex]
[tex]\\ \sf\longmapsto 2x=54[/tex]
[tex]\\ \sf\longmapsto x=27[/tex]