Answer:
the first plan is better
this is because the effective annual interest of the first plan is 7.23 which is higher than that of the second plan which is 7.09. this means that the interest rate of the first option would be higher
2. the future value of option 1 is higher than that of option 2
Step-by-step explanation:
The effective annual rate can be used to determine which option is better
the option with the higher effective annual rate is the better option
Effective annual rate = (1 + APR / m ) ^m - 1
M = number of compounding
(1 + 0.07/12)^12 - 1 = 7.23%
option 2
EAR = e^r - 1
2.7182818^0.0685 - 1 = 7.09%
2nd method of determining the better investment is to determine the future value of each option
Option 1 : 800( 1 + 0.07/12)^(12 x6) = 1216.08
option 2 = 800e^(0.0685 x 6) = 1206.60
option 1 has the higher future value
Answer:6757.62
Step-by-step explanation:
use the formula for compound interest. In order for april to have an account balance of 86000 after 6 years, her initial investment must be $6,758 rounded to the nearest dollar.
Can someone help me?It's urgent and thank you!
Answer:
11
Step-by-step explanation:
Solution for this problem is in this picture.
You travel about 1.3x10^4 miles per year in your Toyota Camry, which gets 28 miles per gallon of gasoline. The combustion of gasoline emits 2.42 kg C per gallon. Based on this information, calculate the carbon footprint of your transporation.
Answer:
1123.5714 kg C
Step-by-step explanation:
Given :
Miles traveled = 1.3 * 10^4 miles
Miles per gallon = 28 miles per Gallon
Carbon footprint per gallon = 2.42 kg C per gallon
The total gallons of gasoline used over the course of the year :
Total miles traveled / miles per gallon
1.3 * 10^4 / 28 = 464.28571 gallons
Carbon footprint per gallon = 2.42 kg C
Total carbon footprint of transportation :
2.42 kg C per gallon * 464.28571 gallons
= 1123.5714 kg C
Which statement correctly compares the function shown on this graph with
the function y = 4x+ 2?
8
7
6
5
4
12
-5 -4 -3 -2 -1
1 2 3
4 5
-2
Answer:
B. The function shown on the graph has a smaller rate of change but a higher starting point
Step-by-step explanation:
Question options obtained from a similar question are;
A. The function shown on the graph has a greater rate of change and a higher starting point
B. The function shown on the graph has a smaller rate of change but a higher starting point
C. The function shown on the graph has a greater rate of change but a lower starting point
The function shown on the graph has a smaller rate of change but a higher starting point
Explanation;
The given function with which the graph is compared is y = 4·x + 2
From the given function, we have;
The rate of change of the function is the coefficient of 'x', therefore, the rate of change of the function = 4
When y = 0, 4·x + 2 = 0,
∴ x = -2/4 = -0.5
The y-intercept is given when x = 0
∴ The y-intercept, y = 4 × 0 + 2 = 2
The starting point of the function, is (0, 2)
From the graph, we have;
The y-intercept = (0, 4)
Therefore, the starting point of the line, the y-intercept, (0, 4), is higher than the starting point of the given function, (0, 2)
The coordinates of two (clear) points on the line in the graph are (0, 4) and (-2, -2)
The rate of change of the line, m = (4 - (-2))/(0 - (-2)) = 3
Therefore, the graph has a lesser rate of change, 3, than the rate of change of the given function, 4
When compared with the given function, 'the function shown on the graph has a smaller rate of change and a higher starting point'.
Let’s write the possible subsets of the following sets and list the proper subsets separately
(a)F={apple}
(b)A={1,2}
(c)E={a,b,c}
(d)T={1,2,3,4}
Step-by-step explanation:
(a) subsets are {apple}, { }
(b) subsets are {1}, {2}, {1,2}, { }
proper subsets are {1}, {2}
(c) subsets are
{a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, { }
proper subsets are {a}, {b}, {c}, {a,b}, {a,c}, {b,c}
(d) subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4},{ }
proper subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4}
what is the solution to the system of equations graphed below?
Answer:
C. (1, -2)
General Formulas and Concepts:
Algebra I
Reading a coordinate graphCoordinates (x, y)Solving systems of equations by graphingStep-by-step explanation:
Where the 2 lines intersect on a graph will be the solution to the systems of equations. According to the graph given. the lines intersect at (1, -2).
∴ our answer is C.
Answer:
C. (1,-2)
Step-by-step explanation:
with systems of equations, the answer is always where the lines intersect. which in this graph is at (1,-2)
hope this helps! lemme know if you need more
Pls help me, I really dont understand
Answer:
-2.5x-.5
[tex]y=\frac{2}{3}x-1[/tex]
draw the dotted line (3/7)x-3 and shade below it
Step-by-step explanation:
First, we need the slope
Use the slope formula:
[tex]\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5[/tex]
so we have
y= -2.5x+b
Solve for b by plugging in coordiantes
-8= -2.5(3)+b
-8= -7.5+b
b= -.5
Put it together and get -2.5x-.5
2.)
A line is parallel to another line if they have the same slope (and different y intercepts)
So in the formula y=mx+b we knowe that m= 2/3
Now it's just a matter of solving for B
plug in the required coordinate to do this
-1=(2/3)*0+b
-1= b
Put it all together to get
[tex]y=\frac{2}{3}x-1[/tex]
3.)
put this into slope intercept form
3x-7y>21
3x-21 > 7y
(3/7)x-3 >y
To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)
Describe the graph of the proportional relationship between the two quantities and describe how the unit rate is represented on the graph. Bananas are $2.40 per pound.
a
The graph of y = 24x , which is a line passing through (0, 0) with a slope of 24; the slope 24 is the unit rate of each pound of bananas.
b
The graph of y = 2.4x , which is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.
c
The graph of y = 5.8x , which is a line passing through (0, 0) with a slope of 5.8; the slope 5.8 is the unit rate of each pound of bananas.
d
The graph of y = 2.4 + x , which is a line passing through (0, 0) with a slope of 2.4; the slope -2.4 is the unit rate of each pound of bananas.
Given:
Bananas are $2.40 per pound.
To find:
The graph and unit rate on the graph.
Solution:
Let y be the total cost of x pounds of bananas.
Cost of 1 pound of banana = $2.40
Cost of x pound of bananas = $2.40x
So, the required equation for the given situation is:
[tex]y=2.4x[/tex]
The graph of [tex]y=2.4x[/tex] describes the proportional relationship between the two quantities.
The graph of [tex]y=2.4x[/tex] is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.
Therefore, the correct option is (b).
Answer:
a
Step-by-step explanation:
This graph represents a quadratic function. Which expression is a factor of the function's equation?
A 0
B x-4
с. x
D X + 4
28. The edges of a cube are all increased by
10%. What is the percentage increase in the
volume?
Answer:
Percentage increase in volume will be
33.1
%
Step-by-step explanation:
Let the each edge of cube be
100
units.
Then its volume is
100
3
=
1000000
cubic units.
If each edge increases by
10
%
it becomes
110
units
and volume becomes
110
3
=
1331000
cubic units
Therefore increase in volume is
1331000
−
1000000
=
331000
cubic units
and percentage increase in volume is
331000
1000000
×
100
%
=
331
10
%
=
33.1
%
PLAEASE HELP ME
If the equation of a line is 2y+3x=3, what is the y intercept of the line?
Answer:
3/2
Step-by-step explanation:
2y+3x=3
This represents a linear equation and the format for a linear equation is
y = mx+b
m = slope
b= y-intercept
we have to subtract 3x from both sides to make this the y=mx+b form
2y=-3x+3
and divide both sides by 2
y = (-3x+3)/2
3/2 or 1.5 is the y-intercept
the constant of a linear equation (or 3) is the y-intercept, if there is no constant then the y-intercept is 0
Answer:
1.5
Step-by-step explanation:
2y+3x=3
Convert to y=mx+b form...
y=mx+b
y(output)
x(input)
x(slope/growth)
b(y int/starting point)
Steps for converting to y=mx+b form:
-subtract 3x from both sides of equal sign
-divide by 2 on both sides
2y+3x = 32y = -3x+3y = -1.5+1.5y = -1.5+1.5
so 1.5 is y int.
:)ur welcome
Determine the measure of CD from the diagram below.
A
E
809
88
Answer:
88
Step-by-step explanation:
line AC is equal to line DB
13
What is the Pythagorean Theorem?
A) a + b + c
B
a2+b2=c2
a2-b2=c2
D) abc = d
Answer:
a2 +b2=c2
Step-by-step explanation:
......
hope it helps
Answer: its a^2+b^2=c^2
Step-by-step explanation:
if i made 11$ an hour working at publix how much would i have in 4 year's?
i need to know because me and my friend plan to work at publix as soon as we turn 14 and in 4 year's when we turn 18 we want to have enough to move into an apartment/house right away
Answer:
40*52*11*4 = $91,520
But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.
Step-by-step explanation:
Answer: $385440 if you work non stop, for every hour of those 4 years
Step-by-step explanation: 24 hours in a day, 24*365=8760
8760*4=35040 total hours.
Now if we multiply that by 11, because you get 11 dollars an hour,
35040*11= $385440 in total
But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.
4. Which of the following is not true of saliva?
A. Cleanses the mouth
B. Dissolves certain foods
C. Moistens food and aids in swallowing
D. Contains enzymes that begin the breakdown of proteins
Answer: c
Step-by-step explanation:
ok so it doesn't contain moisten in food
The statement that is not true about saliva is: D. contains enzymes that begin the breakdown of proteins.
What is Saliva?Saliva is a liquid that is made by the salivary glands in the mouth. Saliva contains the enzyme known as amylase which helps to break down starch. Saliva does not have enzymes that can break down proteins.
Other functions of Saliva are:
Aids in dissolving certain foodsAids swallowing and moistening of foodsPrevents bad breath and cleanses the mouth.Therefore, the statement that is not true about saliva is: D. contains enzymes that begin the breakdown of proteins.
Learn more about saliva on:
https://brainly.com/question/882651
Please help I put 50 points
Answer:
output = input - equation
y = x - 7
so 7 is your correct equation!!
Step-by-step explanation:
as u can see
When input x is subtracted from output y, we are getting answer 7
like here
imma gonna tell u how 7 is came
1-8=7
2-9=7
3-10=7
4-11=7
so 7 is our equation
its just a explanation okay
so we get our solution
•°• Y = X - 7
hope it may help you!!
mark as brainlist
How many 1 3/4 foot pieces of ribbon can be cut from a piece of ribbon that is 36 feet long
Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
1 3/4 = 7/4
36/(7/4) = 36 x 4/7 = 20.5 or 20
May someone help me out with this. A bit lost here. If anyone knows, and would like to answer, I would gladly appreciate you. Thanks.
Answer:
since they are parallel lines therefore the angles hence formed will also be equal
x+5=2x-7
5+7=2x-x
12=x
hence the ans is 12
plz mark it as brainliest
Find f(-x) of the function 4x^2+2x-4 SOMEONE PLEASE HELP ASAP WORTH 50 POINTS
Given:
The function is:
[tex]f(x)=4x^2+2x-4[/tex]
To find:
The value of [tex]f(-x)[/tex].
Solution:
We have,
[tex]f(x)=4x^2+2x-4[/tex]
Substituting [tex]x=-x[/tex] in the given function, we get
[tex]f(-x)=4x^2-2x-4[/tex]
Therefore, the required function is [tex]f(-x)=4x^2-2x-4[/tex].
Justin printed 44 posters to advertise the garage sale. He gave 11 friends the same number of posters to display around the neighborhood. How many posters did Justin give each friend?
Answer:
4
Step-by-step explanation:
44/11=4
Solve -2x + 6 = -20. -7 -13 7 13
Answer:
13
Step-by-step explanation:
-2x + 6 = -20
Step 1 subtract 6 from both sides
6 - 6 cancels out
-20 - 6 = -26
We now have -2x = -26
Step 2 divide both sides by -2
-2x/-2 = x
-26/-2 = 13
We're left with x = 13
A shopkeeper bought articles at $4.00 a dozen and sold them at 4.50 a dozen her percentage profit was
Answer:
12.5
Step-by-step explanation:
Find the profit ( 4.50- 4) And then profit over original price multiplied by 100 ( 0.50/4×100)What expression is equivalent to (5z^2+3z+2)^2
?
Answer:
[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]
hi can you answer this question thank you
9514 1404 393
Answer:
2 < x < 24.937
Step-by-step explanation:
Conceptually, the values of x are allowed to be between those that make angle ABC one of zero measure and that make angle ABD a straight angle.
That is ...
0 < 2x-4 < 180 -86
4 < 2x < 98
2 < x < 49
__
However, some study of this geometry convinces us that the largest that angle ABC can be is one that makes ∆ABC isosceles. In that case, AB = CB = DB, and B is the center of the circle through points A, C, and D. Trigonometry can be used to find the value of x in that case.
The radius CB of circle B must be such that the bisector of angle CBD intersects the midpoint of CD:
CB·sin(86°/2) = 14/2
Similarly, the bisector of angle ABC will meet the midpoint of AC:
CB·sin((2x -4)°/2) = 8/2
Equating expressions for CB gives ...
7/sin(43°) = 4/sin((x-2)°)
(x -2)° = arcsin((4/7)sin(43°))
x° = 2° +arcsin(4/7·sin(43°))
x ≈ 24.937
So, a revised upper limit on x puts the range of possible values as ...
2 < x < 24.937
Hace 5 años compramos una casa en 40.000, hoy la casa cuesta un 30% mas del precio original si podemos vender la xasa ¿Cuanto es lo mínimo que debemos cobrar por ella?
Respuesta:
52 000
Explicación paso a paso:
Dado :
Costo de la casa hace 5 años = costo original de la casa = 40,000
Aumento porcentual en el precio original hoy = 30%
El monto mínimo a cobrar por la casa:
Precio original * aumento porcentual del precio original
40.000 + (30% de 40.000)
40000 + (0,3 * 40000)
40000 + 12000
= 52 000
Monto a cobrar por la casa = 52,000
Find the area of the figure
Will
Give
Brainlist
Answer: 52x+4
Step-by-step explanation: Do 16(2x-1)+4(5x+5) and get 52x+4.
Pls pa Answer po❤️!!!!!
Answer:
1) 4
2) 40
3) 22
4) 3
5) 9.5
6) 4
7) 14.2
8) 7
9) 12
10) 11
Step-by-step explanation:
1) 14 + 6 = 16
so, 16 - 12 = 4
2) 58 - 18 = 40
3) 30 - 8 = 22
4) 10 + 2= 12
so, 12 - 9 = 3
5) 15 + 3 = 18
so, 18 - 7.5 = 9.5
6) 22 - 8 = 14
so, 14 - 10 = 4
7) 19.6 - 5.4 = 14.2
8) 17 - 9 = 8
so, 8 -2 = 7
9) 54 + 8 = 62
so, 62 - 50 = 12
10) 32 - 16 = 16
so, 16 - 5 = 11
Answer:
1. 4
2. 40
3. 22
4. 21
5. 10.5
6. 4
7. 14.2
8. 6
9. 12
10. 11
Step-by-step explanation:
Cos2x-cos12x=5 giải phương trình
Step-by-step explanation:
Giải phương trình: 6sin^2(3x) + cos12x - 14 = 0 - Giải phương trình: ... 4sin^2 (x)-cos2x=2 giải pt ... 0 1 2 3 4 5 6 7 8 9 10.
A) m + n
B) 0
C) m - 1
D) -(m+n)
the required answer is 2m- (m-n)(m-1)
A chair rental company charges $100 for delivery plus $3 per
chair. You want to order 200 chairs for a concert. How much
will it cost?
O a. $300
O b. $600
O c. $700
O d. None of the above
above
Answer: 700
Step-by-step explanation: 3 x 200 + 100
Answer:
c.$700
Step-by-step explanation:
3x+100 3 per chair=3x plus the additional 100 dollar fee
3(200)+100
600+100
700
Which statement correctly compares the two functions? A. They have the same end behavior as x approaches [infinity], but they have different x- and y-intercepts. B. They have the same x-intercept and the same end behavior as x approaches [infinity]. C. They have the same y-intercept and the same end behavior as x approaches [infinity]. D. They have the same x-intercept and the same y-intercept.
Answer:
A. They have the same end behavior as x approaches [Infinity], but they have different x- and y- intercepts.
Step-by-step explanation:
The x and y intercepts in mathematics can depict more than one function. They can have same end behavior as x approach. The x and y intercepts can be different for the two functions.