The correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,
⇒ [tex]A = P (1 .0465 )^m[/tex]
We have to given that;
A company's revenue increased by 4.65% over the previous year.
We know that;
Formula is,
[tex]A = P (1 + \frac{r}{100} )^m[/tex]
Where, A = final amount
P = principal amount
r = rate
m = time in months
So, The correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,
⇒ [tex]A = P (1 + \frac{r}{100} )^m[/tex]
⇒ [tex]A = P (1 + \frac{4.65}{100} )^m[/tex]
⇒ [tex]A = P (1 + 0.0465 )^m[/tex]
⇒ [tex]A = P (1 .0465 )^m[/tex]
Thus, the correct expression for the company use to approximate the percent increase in revenue through a certain number of months, m is,
⇒ [tex]A = P (1 .0465 )^m[/tex]
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
Three radii of the circle are?
For the given circle ,
three radii are BC, CD , and CF , diameter is BD , Chord is HD and BD , Secant is AD and Point of tangency is F.
From the figure of the circle,
Radius is line segment whose one end point is on circumference of circle and other is center.
Three radii of the circle are BC, CD , and CF.
Diameter is a line segment whose endpoints are on the circumference of circle and passing through center.
A diameter of the circle is BD.
Tangent of a circle is a line which touches the circle at one point only.
A tangent of the circle is GE.
A chord of the circle is a line segment whose end points are on the circle.
A chord of a circle is HD and BD.
A secant of the circle is a line intersects at two points.
A secant of the circle is AD.
A point of tangency is a point where tangent touches the circle.
A point of tangency is F.
learn more about circle here
brainly.com/question/13057093
#SPJ1
what is true about the modeling equation that best fits this data?
a. the modeling equation does not have extremum
b. the modeling equation has a point of inflection
c. the modeling equation is concave down
d. the modeling equation is concave up
Does anyone know the answer?
well, let's read the Set Builder
the variable "x", where "x" is greater than or equals to 2
Oh by the way "x" is also less than or equals to 2
hmmm what the heck? how can "x" be greater than 2 and at the same time be less than 2? well, that's kinda like a logical collision, so we can conclude that "x" is neither less than or greater than 2, but another condition is that it could be equal to 2, since the other two collided, the only conclusion is that "x" must be equal to 2.
A strange new lottery requires players to predict the exact date ( month and day) and time (hours, minutes , and seconds) when an animal will emerge from hibernation One ticket allows you one guess and you need to exactly match both the date and time this event. What is the probability of winning the lottery on a single ticket?
The probability of winning the lottery on a single ticket is
P ( A ) = 1 / (12 * 30 * 24 * 60 * 60)
Given data ,
Let the probability of winning the lottery on a single ticket be P ( A )
Now , There are 12 months in a year.
There are 30 days in a month
There are 24 hours in a day.
There are 60 minutes in an hour.
There are 60 seconds in a minute.
And , the total number of possible outcomes for the date and time is:
12 (months) * 30 (days) * 24 (hours) * 60 (minutes) * 60 (seconds)
So, the probability of winning the lottery on a single ticket is:
1 (winning outcome) / (12 * 30 * 24 * 60 * 60) (total possible outcomes)
Simplifying this fraction, we get:
1 / (12 * 30 * 24 * 60 * 60)
Hence , the probability is P ( A ) = 1 / (12 * 30 * 24 * 60 * 60)
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ1
Tavon wants to buy new skis that are the same as his height he is 1.6 meters tall. skis are sold in cm. What size does Tavon need?
The size of skis is 160 cm.
Given that, Tavon wants to buy new skis that are the same as his height he is 1.6 meters tall. skis are sold in cm. we need to find the height of skis,
Using the concept of unit conversion,
1 m = 100 cm
Therefore,
1.6 m = 100 × 1.6 = 160 cm
Since, the length of the skis and the height of Tavon are same so the skis are of 160 cm.
Hence, the size of skis is 160 cm.
Learn more about heights, click;
https://brainly.com/question/10726356
#SPJ1
Find the value of x. Then find the area of the triangle.
Step-by-step explanation:
law of sine :
a/sin(A) = b/sin(B) = c/sin(C)
a, b, c are the sides, A, B, C are the corresponding opposite angles.
so,
16/sin(90) = x/sin(30)
16/1 = x/0.5
0.5 × 16 = x
x = 8 units
Pythagoras now gets us half the baseline (and therefore the full baseline) :
16² = x² + (baseline/2)² = 8² + (baseline/2)²
256 = 64 + baseline²/4
192 = baseline²/4
768 = baseline²
baseline = sqrt(768) = sqrt(256×3) = 16×sqrt(3) units
the area of a triangle is
baseline × height / 2
in our case
16×sqrt(3) × 8 / 2 = 16×sqrt(3) × 4 = 64×sqrt(3) units² =
= 110.8512517... units²
You win the game if X 25 or x 45 . Use the central limit theorem to calculate the
probability that you win.
3mks
Note that the probability - P(X ≤25 or X ≥ 45) = 0.0784
How to solve thisP(X ≤25 or X ≥ 45) = 1- P(X ≤25.5 or X ≥ 44.5)
= 1 - p [ (25.5 - 10(3.5)/ √(35/12) √10) ≤ (X-10(3.5)/√(35/12) √10) ≤ (44.5 - 10(3.5)/√(35/12) √10)]
≈ 1 - (2Ф (1.76) - 1)
≈ 2(1-0.9608)
≈ 0.0784
Thus, P(X ≤25 or X ≥ 45) = 0.0784
Learn more about probability:
https://brainly.com/question/30034780
#SPJ1
Full Question:
You roll a 6-sided die 10 times. Let X be the total value of all 10 dice = X1 + X2 + ...... + X10.
You win the game if X ≤ 25 or X ≥ 45. Use the central limit theorem to calculate the probablity that you win.
Note that E[Xi] = 3.5 and Var (Xi) = 35/12
Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. Which best explains why figure A is congruent to figure C? On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). A Is congruent to B and B Is congruent to C A Is congruent to A, B Is congruent to B, C Is congruent to C Each triangle is a right triangle. Each triangle is an isosceles triangle.
Triangle A and Triangle C are congruent to each other because a series of rigid transformations, a translation and a reflection, were applied to A to form C. Therefore, the correct answer is "A Is congruent to B and B Is congruent to C". So, the correct answer is A).
Identify the coordinates of the vertices of Triangle A and Triangle C
Triangle A: (1, -2), (3, -2), (3, -5)
Triangle C: (4, 0), (6, 0), (6, 3)
Apply the first transformation that was used to transform Triangle A to Triangle C, which is a translation of 3 units right and 2 units up. To do this, add 3 to the x-coordinates and add 2 to the y-coordinates of each vertex of Triangle A to get
Triangle A': (4, 0), (6, 0), (6, -3)
Triangle A' is not congruent to Triangle A because the translation changes the position of the vertices, but it does not change the size or shape of the triangle.
Apply the second transformation that was used to transform Triangle A' to Triangle C, which is a reflection over the x-axis. To do this, negate the y-coordinates of each vertex of Triangle A' to get
Triangle C': (4, 0), (6, 0), (6, 3)
Triangle C' is congruent to Triangle C because the reflection over the x-axis preserves the size and shape of the triangle, and negating the y-coordinates of the vertices only changes their position, not their size or shape.
Compare Triangle A with Triangle C'
Triangle A: (1, -2), (3, -2), (3, -5)
Triangle C': (4, 0), (6, 0), (6, 3)
We can see that Triangle A is congruent to Triangle C' because they have the same shape and size, and the corresponding angles and sides are equal.
Therefore, since Triangle A is congruent to Triangle C', and Triangle C' is congruent to Triangle C, we can conclude that Triangle A is congruent to Triangle C.
Therefore, the correct answer is "A Is congruent to B and B Is congruent to C" and option is A).
To know more about transformations:
https://brainly.com/question/14835332
#SPJ1
--The given question is incomplete, the complete question is given
" Figure A is translated 3 units right and 2 units up. The translated figure is labeled figure B. Figure B is reflected over the x-axis. The reflected figure is labeled figure C. On a coordinate plane, triangle A has points (1, negative 2), (3, negative 2), (3, negative 5). Triangle B has points (4, 0), (6, 0), (6, negative 3). Triangle C has points (4, 0), (6, 0), (6, 3). Which best explains why figure A is congruent to figure C?A Is congruent to B and B Is congruent to C A Is congruent to A, B Is congruent to B, C Is congruent to C Each triangle is a right triangle. Each triangle is an isosceles triangle."--
Two cars start at the same point and travel in opposite directions. The first car travels 10
miles per hour faster than the second. In 3 hours, they are 342 miles apart. The formula
below determines the rate of the second car. What is the rate of the second car?
3(r+ 10) + 3r = 342
The rate of the second car (r) is 52 miles/ hour.
Solving algebraic equations.There are many ways in which we can solve word problems leading to algebraic equations depending on the form, variables, and constants given in the equation.
Here, we are given two cars in which the first car travels 10 miles faster than the second car.
Let's assume that:
The miles traveled by the second car are r, Then the distance covered by the first car is r + 10.In three miles, they are 342 miles apart, Thus, we can express this mathematically as:
3(r + 10) + 3r = 342
3r + 30 + 3r = 342
6r + 30 = 342
Collect like terms
6r = 342 - 30
6r = 312
r = 312/6
r = 52
Therefore, we can conclude that the rate of the second car (r) is 52 miles/ hour.
Learn more about solving algebraic equations here:
https://brainly.com/question/22688504
#SPJ1
a cashier at the local bank is expected to serve 12 customers every hour.in the past 15 minutes, he served 4 customer's. assuming that the cashier continue to work at the same rate, wil he meet his goal.
Mr. Cosgrove, a farmer, needs to build a new feed trough for his goats. The trough will be in the shape of a rectangular prism and hold approximately 20 gallons, or 4,620 cubic inches, of food. The height of the trough will be 6 inches so that the goats can access their food easily. Mr. Cosgrove decides to make the trough 8 times as long as it is wide so all his goats can eat at the same time.
Which equation can you use to find the width of the feed trough?
A.) 4,620w = 8 x w x 6
B.) 4,620 = 8w x w x 6
To the nearest tenth of an inch, how wide will the feed trough be?
___ inches wide
The correct equation to find that can be used to find the width of the feed trough is (b) 4620 = 8w×w×6, and the width of the "feed-trough" is 9.8 inches wide.
The "Volume" of "rectangular-prism" can be found using formula V = l×w×h, where V is = volume, l is = length, w is = width, and h is = height.
We know that the volume of the "feed-trough" is 4,620 cubic inches, and
The height is = 6 inches. Let us denote the width as "w" and the length as "8w" (because trough's length is 8 times the width),
So, the equation for the volume of the feed trough is:
⇒ 4620 = (8w) × (w) × (6),
So, the correct equation to find the width is Option (b) 4620 = (8w) × (w) × (6).
Simplifying further,
We get,
⇒ w² = 96.25,
⇒ w ≈ 9.8 inches (rounded to the nearest tenth)
Therefore, the width of the feed trough will be approximately 9.8 inches.
Learn more about Volume here
https://brainly.com/question/28934314
#SPJ1
The coordinates of the vertex of a parabola are (7, −4).
What is the equation of the axis of symmetry of the parabola?
The equation of the axis of symmetry of the parabola is x = 7.
We have,
The axis of symmetry of a parabola is a vertical line that passes through the vertex.
Now,
The equation of the axis of symmetry is the vertical line passing through the x-coordinate of the vertex.
And,
The x-coordinate of the vertex is 7.
Now,
So the equation of the axis of symmetry is x = 7.
Thus,
The equation of the axis of symmetry of the parabola is x = 7.
Learn more about parabola here:
https://brainly.com/question/21685473
#SPJ1
Jeremy has a fish tank that has a 30 cm by 90 cm rectangular base. The water is 25 cm deep. When he drops rocks in
the tank, the water goes up by 2 cm. What is the volume in liters of the rocks?
The volume of the rocks is ____ L
Write three equations that involve adding negative numbers?
Asked equations are written below with the explanation.
Here are three equations that involve adding negative numbers:
-5 + (-3) = -8
This equation involves adding the negative numbers -5 and -3.
-10 + (-2) + (-3) = -15
This equation involves adding the negative numbers -10, -2, and -3.
-7 + (-1) + (-4) + (-2) = -14
This equation involves adding the negative numbers -7, -1, -4, and -2.
Learn more about algebraic Expression here:
https://brainly.com/question/953809
#SPJ1
Triangle ABC has vertices at A(−3, 3), B(0, 7), and C(−3, 0). Determine the coordinates of the vertices for the image if the preimage is translated 3 units up.
A′(−3, 0), B′(0, 4), C′(−3, −3)
A′(−3, 6), B′(0, 10), C′(−3, 3)
A′(−6, 3), B′(−3, 7), C′(0, 0)
A′(0, 3), B′(3, 5), C′(0, 0)
The coordinates of the vertices for the image if the preimage is translated 3 units up is A′(−3, 6), B′(0, 10), C′(−3, 3) (option b).
In this particular question, we are given a triangle ABC with vertices at A(−3, 3), B(0, 7), and C(−3, 0). Our task is to determine the coordinates of the vertices for the image if the preimage is translated 3 units up.
When a figure is translated, it is moved to a new location without changing its shape or size.
Let's start by looking at vertex A(−3, 3). If we translate this vertex 3 units up along the y-axis, its new coordinates will be A′(−3, 6).
Similarly, if we translate vertex B(0, 7) 3 units up, its new coordinates will be B′(0, 10). Finally, if we translate vertex C(−3, 0) 3 units up, its new coordinates will be C′(−3, 3).
Therefore, the vertices of the image triangle are A′(−3, 6), B′(0, 10), and C′(−3, 3). This is option (B) from the given answer choices.
To know more about coordinates here
https://brainly.com/question/27749090
#SPJ1
Will give Brainliest and extra points if correct!!!
An experiment is conducted with a coin. The results of the coin being flipped twice 200 times is shown in the table.
Outcome Frequency
Heads, Heads 40
Heads, Tails 75
Tails, Tails 50
Tails, Heads 35
What is the P(No Heads)?
85%
75%
50%
25%
Answer:
To find the probability of getting no heads, we need to add the frequencies for the outcomes where tails appears twice and divide by the total number of trials:
No heads = Tails, Tails = 50
P(No Heads) = 50/200 = 0.25 = 25%
Therefore, the answer is 25%.
Answer:
The probability of getting no heads when flipping a coin twice is 25%.
The probability of getting heads on a single flip of a coin is 50%.
The probability of getting no heads when flipping a coin twice is:
```
(1 - 0.5)^2 = 0.25
```
Therefore, the probability of getting no heads when flipping a coin twice is 25%.
So the answer is 25%
Step-by-step explanation:
Between last year and this year, the CPI in Blueland rose from 100 to 120 and the CPI In Redland rose from 100 to 115. Blueland's currency unit, the blue, was worth 80 cents (U.S.) last year and is worth 60 cents (U.S.) this year. Redland's currency unit, the red, was worth 20 cents (U.S.) last year and is worth 15 cents (U.S.) this year.
Find the percentage change from last year to this year in Blueland's nominal exchange rate with Redland and in Blueland's real exchange rate with Redland. (Treat Blueland as the home country.) Relative to Redland,
Blueland's nominal exchange rate with Redland decreased by 25% from last year to this year.
Blueland's real exchange rate with Redland decreased by 13.3% from last year to this year.
What is the percentage change in Blueland's exchange rate with Redland?The nominal exchange rate is ratio at which one currency can be exchanged for another. The real exchange rate account for changes in the inflation rate between two countries and provides accurate picture of the purchasing power of the currencies.
Here, Blueland's nominal exchange rate with Redland decreased by 25% from last year to this year, as the blue decreased in value relative to the red.
But Blueland's real exchange rate with Redland decreased by only 13.3%, as Blueland's inflation rate was higher than Redland's inflation rate which means Blueland's goods became relatively more expensive compared to Redland's goods.
Read more about exchange rate
brainly.com/question/10187894
#SPJ1
what is the fraction equivalent of the ratio of boys to girls in a class if there are 12 boys and 18 girls ?
Select the correct answer.
Determine which equation has the same solutions as the given equation.
x2 − 10x − 11 = 0
A.
(x − 10)2 = 21
B.
(x − 5)2 = 21
C.
(x − 5)2 = 36
D.
(x − 10)2 = 36
Answer:
B. (x - 5)^2 = 21
Step-by-step explanation:
Find the area of a regular hexagon with apothem mm. Round to the nearest whole number.
31 mm2
94 mm2
187 mm2
125 mm2
The area of the regular hexagon with apothem 3√3 mm is approximately 125 mm². (option d)
The area of a regular hexagon can be found using the formula:
Area = (3√3 × s²) ÷ 2
Where s is the length of one side of the hexagon, and 3√3 is the apothem.
To solve for the area, we need to find the value of s. We can do this by using the fact that a regular hexagon can be divided into six equilateral triangles, and each of these triangles has sides equal to s.
The height of each equilateral triangle is equal to the apothem, which is 3√3 mm in our case. Using the Pythagorean theorem, we can find the length of one side of the hexagon:
s = 2 × (3√3) ÷ √3
s = 6
Now that we know the value of s, we can substitute it into the formula for the area of a regular hexagon:
Area = (3√3 × 6²) ÷ 2 = 125
Hence the correct option is (d).
To know more about hexagon here
https://brainly.com/question/3295271
#SPJ1
Consider the graph of the function f(x) = e^x
Which statement describes a key feature of function g if g (x) = e^x - 7?
The diagonals of parallelogram ABCD intersect at P. Which statements must be true? Select all that apply.
A.AP ≅ CP
B.BC ≅ AD
C.m∠ABC=90∘
D.∠CAD≅∠ACB
The statements that are true about diagonal of parallelogram;
A. AP is equal to CP
What is diagonal law of parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal and the sum of the adjascent angles is 180°.
The diagonal of a parallelogram is a line that touches the vertex of opposite angles. Here are some of the properties of diagonal of a parallelogram.
1. The diagonal divides the parallelogram into congruent triangles
2. The diagonal of parallelogram bisects each other but they are not equal.
3. The diagonal of parallelogram bisect each other at 90°.
Therefore, the statement that is true is AP is equal to CP since AC is a diagonal.
learn more about diagonal property of parallelogram from
https://brainly.com/question/20526916
#SPJ1
The perimeter of the garage is 64 feet. The length
is 20 feet. What is the width of the garage?
Answer:
The width of the garage is 22 feet
Step-by-step explanation:
64 = 20 + 2w
44 = 2w
22 = w
The width of the garage is 22 feet
Which of the numbers below are multiples of 4 select all that apply
Answer:Need answer choices to answer
Step-by-step explanation:
how do you find the height of a composite figure made up of 2 different 3-d shapes?
In order to find the height of 2 different 3-D shapes, we must identify which dimension represents the height for each individual shape and then add them together.
How can we determine height of the composite 3-D figure?The first thing is that we must identify which dimension represents the height for each individual shape, for instance, if one shape is a rectangular prism, its height would be the length of one of its sides.
After we identified the height for each shape, you can add them together to get the total height of the composite figure, but, we must understand that this method assumes that the two shapes are stacked vertically on top of each other with their bases aligned.
Read more about composite figure
brainly.com/question/21135654
#SPJ1
Please solve this as quick as possible, I’ll give brainliest for it, thank you so much if u do it
Answer:
Put your calculator in degree mode.
a = 2, b = 1. So y = 2sin(x)
sin(k) = 12/25, so k = 180° - 28.69° = 151.31°
The figure is omitted--please sketch it to confirm my answer.
√(25^2 - 12^2) = √481
So tan(k) = -(12√481)/481
Why are inequalities like the last two problems graphed on a number line while the ones in the
Set portion of this assignment are graphed on a coordinate plane? What difference is there
between the inequalities in the last two problems and the ones found in problems 13-16?
It depends on the number of variables, if the inequality has one variable, then it is graphed on a number line.
Why some inequalities are graphed on a number line?The type of diagram that we need to use depends on the number of variables that we have.
A single variable ----> number linetwo variahbles ----> a coordinate plane.3 variables ---> a volume.That is the main reason, for example:
x > 2
Is graphed on a number line.
y > 3x + 4
is graphed on a coordinate plane.
learn more about inequalities at:
https://brainly.com/question/24372553
#SPJ1
In a certain Algebra 2 class of 28 students, 7 of them play basketball and 5 of them play baseball. There are 18 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
2 students play both
Step-by-step explanation:n(u)=28
n(b)=7,n(b)=5,n(who play neither sport)=18
HERE,
n(u)=n(b)+n(b)-n(BnB)+n(who play neither sport)
28=7+5-n(BnB)+18
28=30-n(BnB)
n(BnB)=30-28
=2 answer
find the mean and variance of 2,2,3,3,3,4,4,4, and 4
Answer:
Find the mean and variance of 2,2,3,3,3,4,4,4, and 4
O 3.22, 0.62O 4.21, 0.58
O 6.53, 0.74
O 7.69, 0,69
Step-by-step explanation:
You're welcome.
Answer: The first one
Average x = 3.2222222222222
Count n = 9
Sum Sum = 29
Step-by-step explanation: Mean means the usual set of numbers found by adding all the numbers together and then dividing that by the number of the numbers.
Hope it helped
Carlos le dijo a Luisa: “Al sumar 4 al doble de un número el resultado es 30. ¿Cuál es el número?”