Answer:
P=141,300(1+0.05)^6
Step-by-step explanation:
r = rate = 5/100 = 0.05
a = starting amount = 141,300
t = time = 6 years
% growth formula:
a(1+r)^t
141,300(1.05)^6
Answer:
P=141,300(1+0.05)^6
Step-by-step explanation:
r = rate = 5/100 = 0.05
a = starting amount = 141,300
t = time = 6 years
% growth formula:
a(1+r)^t
141,300(1.05)^6
Jordan writes 3(4x – 8) = 12x – 8
Explain why his expansion is not correct
Complete the following table and write down each of the expansions
x x -2
x
X (X – 2)
In the circle below, F is the center and lies on line segment AD and BC.
Answer:
I guess option (C)
Step-by-step explanation:
Hope it helps!!!!
What is another way to write 3x+9y=-8 to get exactly one solution
Answer:
Step-by-step explanation:
Slope = -0.667/2.000 = -0.333
x-intercept = 8/3 = 2.66667
y-intercept = 8/9 = 0.88889
Answer:
Step-by-step explanation:
Two fish tanks have measurements as shown. Which tank has a greater volume? How much greater is its volume? Use the drop-down menus to explain and show your answer. Fish Tank A shows an area of base that is 25 square feet and a height of 8 feet. Fish Tank B shows an area of base that is 40 square feet and a height of 4 feet. The volume of fish tank A is Choose... cubic feet, and the volume of fish tank B is Choose... cubic feet. So fish tank Choose... has a greater volume. Its volume is greater by Choose... cubic feet. 10 / 14 9 of 14 Answered
Answer:
Volume of fish tank A is 200
Volume of tank B is 160
Tank A’s volume is greater by 40 cubic feet
Step-by-step explanation:
25 x 8 = 200
40 x 4 = 160
So:
200 - 160 = 40
A triangle has sides that measure 2 units, 5 units, and 5. 39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3. 14 for π, and round your answer to the nearest whole number. 39 units2 25 units2 49 units2 12 units2.
The circumference of the circle is equal to the perimeter of the triangle, then the area of the circle is 12 square units. Option D is correct.
What is a circle?It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
A triangle has sides that measure 2 units, 5 units, and 5.39 units.
The circumference of the circle is equal to the perimeter of the triangle. Then the radius of the circle will be
[tex]2 \pi r = 5 + 2 +5.39\\\\r = 1.97[/tex]
Then the area of the circle will be
[tex]\rm Area \ of \ circle = \pi r^2\\\\Area \ of \ circle = \pi 1.97^2\\\\Area \ of \ circle = 12.21 \approx 12[/tex]
The area of the circle is 12 square units.
More about the circle link is given below.
https://brainly.com/question/11833983
One box measures 2 feet by 1 foot by 1 foot a larger box measures 2feet by 2 1/2 feet by 2 how many times larger is the volume of the larger box then the smaller box
The number of times the larger box is bigger than the smaller box is 5.
How many times larger is the larger box?The first step is to determine the volume of both boxes.
Volume = length x width x height
Volume of the larger box = 2 x 2 1/2 x 2 = 10ft³
Volume of the smaller box = 2 x 1 x 1 = 2 ft³
Now divide the Volume of the larger box by the volume of the smaller box : 10 / 2 = 5
To learn more about the volume of a cuboid, please check: https://brainly.com/question/26406747
Ben began peeling a pile of 64 potatoes
at the rate of 2 potatoes per minute. Five
minutes later Tom joined him and
peeled at the rate of 4 potatoes per
minute. When they finished, how many
potatoes had Tom peeled?
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let t represent the time after Tom joined.
number of potatoes peeled by Ben = 2(5 minutes) + 2t = 2t + 10
number of potatoes peeled by Tom = 4t
Since they are 64 potatoes, hence:
2t + 10 + 4t = 64
t = 9 minutes
number of potatoes peeled by Tom = 4(9) = 36 potatoes
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
Find out more on equation at: https://brainly.com/question/2972832
y- 1) The value, y, of a car x years after it is purchased is modeled by the function exponential function y = f(x), whose graph is shown above Which statement about the car's value is true? A) Its initial value is B + A, and it will fall to a value of B B) its initial value is A, and it will fall to a value of B C) Its initial value is A and it will fall to a value of A-B
Given the exponential function y = f(x), a is the initial value and it will fall to a value of B
What is an exponential function?
An exponential function is given by:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
The value, y, of a car x years after it is purchased is modeled by the exponential function y = f(x), a is the initial value and it will fall to a value of B
Find out more on exponential function at: https://brainly.com/question/12940982
WILL GIVE BRAINLIEST!!!JUST HELP PLEASE!
Answer:
uhhh… i dunno
Step-by-step explanation:
sry i cannot help u w/ this
Can u just put brainliest for this pls?
Thanks!
Answer:
0.5
Step-by-step explanation:
x + y = 1
y = 1 - x
f(x) = 1 - x
it is from 0 to 1
integral from 0 to 1 of (1 - x) dx
integral 1 dx - integral x dx
integral 1 dx = x
integral x dx = x²/2 by power rule
so the final integral is x - (x²/2)
now from 0 to 1
1 - (1²/2) - 0 - (0²/2)
1 - (1²/2) = 0.5
0 - (0²/2) = 0
0.5 - 0 = 0.5
(hope I could help and sorry about lateness :))
(2x-7)-(4x^2+6x-3)+(x^2+4)
Answer:
[tex]-3x^2-4x[/tex]
Step-by-step explanation:
Simplify:
[tex]\left(2x-7\right)-\left(4x^2+6x-3\right)+\left(x^2+4\right)[/tex]
[tex]=2x-7-\left(4x^2+6x-3\right)+x^2+4[/tex]
Group same factor:
[tex]=-\left(4x^2+6x-3\right)+x^2+2x-7+4[/tex]
Add :
[tex]=-\left(4x^2+6x-3\right)+x^2+2x-3[/tex]
Apply the distributive law: -(a+b) = -a - b
[tex]-\left(4x^2+6x-3\right)=-4x^2-6x+3[/tex]
[tex]=-4x^2-6x+3+x^2+2x-3[/tex]
Group same factor:
[tex]=-4x^2+x^2-6x+2x+3-3[/tex]
Subtract:
[tex]=-4x^2+x^2-6x+2x[/tex]
Add:
[tex]=-3x^2-6x+2x[/tex]
Group same factor:
[tex]=-3x^2-4x[/tex]
Hence answer = [tex]-3x^2-4x[/tex]
~lenvy~
A triangle has side lengths of (5h – 4k) centimeters, (10h + 7m) centimeters, and
(5m – 2k) centimeters. which expression represents the perimeter, in centimeters,
of the triangle?
A mathematical expression which best represents the perimeter of this triangle is (15h - 6k + 12m) centimeters.
Given the following data:
Length A = (5h – 4k) centimeters
Length B = (10h + 7m) centimeters
Length C = (5m – 2k) centimeters.
What is a triangle?A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.
How to calculate the perimeter of a triangle.Mathematically, the perimeter of a triangle is given by this formula:
[tex]P=A+B+C[/tex]
Where:
A, B, and C are length of sides.Substituting the given parameters into the formula, we have;
[tex]P=(5h - 4k) +(10h + 7m) +(5m - 2k)\\\\P=5h+10h-4k-2k+7m+5m\\\\P=(15h-6k+12m)\;centimeters[/tex]
Read more on perimeter of a triangle here: https://brainly.com/question/24382052
the annual income of Sam is $37,368 . what is his monthly income if he earns an equal amount every month
Answer:
[tex]\huge\boxed{\sf \$ 3,114}[/tex]
Step-by-step explanation:
Annual Income of Sam = $37,368
To find the monthly income (given that he earns an equal amount of money every month), we can divide the annual income by 12. (Each year has 12 months)
Monthly Income:
= $37,368 / 12
= $3,114
[tex]\rule[225]{225}{2}[/tex]
How many feet are in 1 yard?
how many feet are in one yard?
=3 feet
Answer:
3 Feet
Step-by-step explanation:
Solve the equation and enter the value of x below.
6x + 7 = 43
X =
6x + 7 = 43
6x + 7 - 7 = 43 - 7
6x = 36
x = 36/6
x = 6
check
6 * 6 + 7 = 36 + 7 = 43
Answer:
x=6
Step-by-step explanation:
6x+7=43
6x=43-7
6x=36
6x/6=36/6
x=6
hope dis helps!!!!!
Which of the following quadratics will have a maximum value at x = 3?
(1) y = x² - 6x +19
(3) y=-2x² + 20x - 49
(2) y=-4x² +24x-21
(4) y = 2x² – 3x+7
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{y = x^2 - 6x + 19}\\\mathsf{y = 6^2 - 6(3) + 19}\\\mathsf{y = 36 - 18 + 19}\\\mathsf{y = 18 + 19}\\\mathsf{y = 37}[/tex]
~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = -2x^2 + 20x - 49}\\\mathsf{y = -2(3)^2 + 20(3) - 49}\\\mathsf{y = -2(9) + 60 - 49}\\\mathsf{y = -18 + 60 - 49}\\\mathsf{y = 42 - 49}\\\mathsf{y = -7}[/tex]
~~~~~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = -4x^2 + 24x - 21}\\\mathsf{y = -4(3)^2 + 24(3) - 21}\\\mathsf{y = -4(9) + 72 - 21}\\\mathsf{y = -36 + 72 - 21}\\\mathsf{y = 36 - 21}\\\mathsf{y = 15}[/tex]
~~~~~~~~~~~~~~~~~~~~~
[tex]\mathsf{y = 2x^2 - 3x + 7}\\\mathsf{y = 2(3)^2 - 3(3) + 7}\\\mathsf{y = 2(9) - 9 + 7}\\\mathsf{y = 18 - 9 + 7}\\\mathsf{y = 9 + 7}\\\mathsf{y = 16}[/tex]
~~~~~~~~~~~~~~~~~~~~
[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
According to einstein, nothing in the universe can move faster than which approximate speed? 1.0 × 107 m/s 1.0 × 108 m/s 3.0 × 108 m/s 3.0 × 109 m/s
The speed of light is 3.0 ×108m/s.
We have ask about the theory of Albert Einstein,
According to einstein, nothing in the universe can move faster than light
What is the speed of the light?
Albert Einstein said that nothing travels faster than the speed of light, and the speed of light is
[tex]3.0\times108 m/s[/tex]
So that the nothing can travels faster than the speed of light.
light travels with very high speed.
Therefore we get the correct option is 3.
That is the speed of light is 3.0 ×108m/s.
To learn more about the speed of light visit:
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Evaluate:
-5-(x+y)
2
where x=
3 and y = 6
answer
For each
x
in the expression you substitute
−
3
and for each
y
you substitute
5
. Make sure to handle the signs correctly. Remember
(
−
−
=
+
)
(
(
2
⋅
−
3
)
−
5
)
3
−
(
5
−
(
−
3
⋅
5
)
−
6
)
(
−
6
−
5
)
3
−
(
5
−
(
−
15
)
−
6
)
−
11
⋅
3
−
(
5
+
15
−
6
)
−
33
−
(
20
−
6
)
−
33
−
14
−
47
Answer linkStep-by-step explanation:
Let's see
-5-(x+y)Put x and y
-5-(3+6)-5-9-14Done!
Examine this right triangle. A right triangle has a side length of 16 meters and hypotenuse of 20 meters. Which equation can be used to find the missing leg in the triangle? a2 202 = 162 202 162 = a2 a2 162 =202 16 a2 = 20.
The equation can be used to find the missing leg in the triangle [tex]20^{2} = 16^{2} +a^{2}[/tex].
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.
It is given that a right triangle has a side length of 16 meters and a hypotenuse of 20 meters.
From a Pythagoras theorem
[tex]b^{2} = c^{2} +a^{2} \\20^{2} = 16^{2} +a^{2}\\20^{2}-16^{2} =a^{2}\\a^{2} = 20^{2}-16^{2} \\[/tex]
Thus, the equation can be used to find the missing leg in the triangle [tex]20^{2}-16^{2} =a^{2}[/tex].
Learn more about the right-angle triangle;
https://brainly.com/question/5474676
Answer:
Its C
a2 + 162 =202
Step-by-step explanation:
four rectangles with the same area, the length varies inversely as the width. one rectangle has a length of 12cm and a width of 5cm. find the length of another rectangle with the same area whose width is 4cm
Answer:
The answer is 15 cm.
Step-by-step explanation:
y= k/x
x= width
y= length
So there for;
x= 5
y= 12
Which means that;
12= k/5
k= 60
And then;
y= 60/x
Which then finally means that;
y= 60/4
60/4= 15 cm
A cyclist bikes a certain distance in 25 minutes. how long would it take a pedestrian to travel the same distance if he travels 2 2/5 times slower than the cyclist?answer = ___________ minutes and ___________ hours.
Using proportions, it is found that it would take 1 hour for the pedestrian to travel the same distance.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the cyclist takes 25 minutes, while the pedestrian's time is [tex]2\frac{2}{5} = \frac{12}{5}[/tex] slower(greater), hence his time is given by:
[tex]t = \frac{12}{5} \times 25 = 12 \times 5 = 60[/tex]
It would take 1 hour for the pedestrian to travel the same distance.
More can be learned about proportions at https://brainly.com/question/24372153
Reflect the shape A in the line y=-1
What are the coordinates of the vertices of the image?
random please answer
i am time limited
whoever answers correctly will be awarded brainliest
Answer:
(3,-3) (5,-3) (3,-6)
Step-by-step explanation:
y=-1 is now a horizontal line passing through the point (0,-1)
I hope this helps!!
3 1/2 x 2 1/2 pls help ASAP!!!!
Answer:
Your answer is 8.75 or 8 ¾
Step-by-step explanation:
3 ½ × 2 ½ = 8 ¾
Have a nice day! :)
is this correct if not whats the answer
Answer:
That answer is correct, when you do a survey, you pick people at random! So your answer is correct. :) If you have any more questions feel free to ask me. ^-^
Dillon buys a hand bag priced at $33. Shipping and handling are an additional 30% of the price. How much shipping and handling will Dillon pay?
Answer:
$10.89 should be your answer
The top-grossing movies last year were Movie A with $700 million, Movie B with $680 million, Movie C with $610
million, and Movie D with $420 million. Suppose we randomly selected 2 of the movies. Fill in all of the means that
are not already provided in the table?
The maximum and the least grossing movies are the combinations of movies A & B and movies C & D, respectively
How to determine the maximum and the least amounts?The grossing amounts are given as:
Movie A = $700 millionMovie B = $680 millionMovie C = $610 millionMovie D = $420 millionThe selection of two movies could be any of the following selections
Selection = AB, AC, AD, BC, BD, and CD
The gross of each selection is:
AB = $700 million + $680 million = $1.38 billion
AC = $700 million + $610 million = $1.31 billion
AB = $700 million + $420 million = $1.12 billion
BC = $680 million + $610 million = $1.29 billion
BD = $680 million + $420 million = $1.10 billion
CD = $610 million + $420 million = $1.03 billion
In the above computation, the maximum and the least gross amounts are:
AB = $1.38 billion
CD = $1.03 billion
Hence, the maximum and the least grossing movies are the combinations of movies A & B and movies C & D, respectively
Read more about combination at:
https://brainly.com/question/11732255
#SPJ1
Answer:
mean of A, C = 655
mean of B, C = 645
mean of C, D = 515
Step-by-step explanation:
you just take whatever the 2 numbers are (for A, B, C, D) and find the mean between them both,, also correct on edge
HELP DUE TMRW!
The floor plan of a building has a scale of cm to 1 m. A room has an area of
40 cm2 on the floor plan. What is the actual area of the room in square metres?
Step-by-step explanation:
so, the scale is 1/4 cm to 1 m.
1 m = 100 cm.
1 m² = 100×100 = 10,000 cm²
that means the scaling factor is 0.25/100 = 1/400
(after multiplying with 4/4).
so, every length in reality has to be multiplied by 1/400 to get the length on the plan.
the area of a rectangle is
length × width.
now, applying the scaling factor means that
length×1/400 × width×1/400 = 40
length × width × 1/400×1/400 = actual area × 1/400² = 40
actual area = 40×400² = 6,400,000 cm²
= 6,400,000 / 10,000 = 640 m²
5 1/2 divided by 3 1/3
Answer:
1 13/20
Step-by-step explanation:
5 1/2 ÷ 3 1/3
11/2 ÷ 10/3
11/2 x 3/10 = 33/20
33/20 = 1 13/20
Hope this helps :)
Answer:
17/62 = 0.27419
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
If we want to know if diagonals or sides are congruent we would use the
formula.
distance
midpoint
slope
When we want to know if the diagonals or sides are congruent we would use the D. Slope.
What is congruent?It should be noted that congruent in geometry simply means when two objects have same shapes and size.
In this case, when we want to know if the diagonals or sides are congruent we would use the slope. This can show the equality in the shape.
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Find the solution of the system of equations.
8x – 2y = -30
–9x + 4y = 18
Step-by-step explanation:
8x – 2y = -30 } ×2
16x - 4y = -60
–9x + 4y = 18
___________
7x=-42
x=-6
8(-6)-2y=-30
-2y=-18
y=9
Answer:
(-6,-9)
Step-by-step explanation:
The quickest way is to solve with elimination. Multiply the top equation by 2.
2(8x – 2y = -30)
16x-4y=-60
16x-4y=-60
–9x + 4y = 18
7x=-42
x=-6
8x – 2y = -30
8(-6) – 2y = -30
-48-2y=-30
-2y=18
y=-9
Find the domain over which the function y = x^2 +6x is mono tonic increasing. Please help
Answer:
x > -3
Step-by-step explanation:
The function will be increasing where its derivative is positive.
__
y = x^2 +6x . . . . . given function
y' = 2x +6 . . . . . . . derivative
The derivative is positive for ...
2x +6 > 0
2x > -6
x > -3 . . . . . domain where the function is increasing