If, we invested $2,800 at a 6% annual interest rate. We will have $2972.70 in 1 year and $3063 in 1.5 year of time.
What is interest?In the fields of finance and economics, interest is defined as the payment of a sum over and above the principal amount (the amount borrowed) at a set rate by a borrower or deposit-taking financial institution to a lender or depositor. It is different from a fee that the borrower may pay to the lender or another entity. It also differs from a dividend, which is money given to shareholders (owners) by a company from its profit or reserve, but not at a set rate predetermined beforehand, but rather on a pro rata basis as a portion of the rewards received by risk-taking businesspeople when revenue is earned that exceeds all costs.
Calculations:
The Future value= fv= Pv x [tex](1+r/m)^{mt}[/tex]
R= Rate per period
mt= years x compounding
The Future value in 1 year= 2800x[tex](1+0.06/12)^{1x12}[/tex]
= $2972.70
The Future value in 1.5 years=2800x[tex](1+0.06/12)^{1.5x12}[/tex]
= $3063.00
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Can you pls help me tink u <3
:Circle the part of the expression that you would complete first.
a. -4 x 32 + 6
b. 4(13 - 6)
c. 3 x (-2)^3 divide symbol 6
d. (6 + 2) - 15 divide symbol 5 x 2
e. 8 - 4(2 + 5^2) divide symbol 12
pls thx!
Seven times the sum of a number and 1
Use X as “Of a Number”
Answer:
7 (x + 1)
Hope this helps :)
Step-by-step explanation:
The equation above shows the statement, "Seven times the sum of a number and 1."
Select all the true statements.
1/2
3 4
#
5 6
8
A 23 22 because they are alternate interior angles.
OB. m21+ m23 = 180 because they form a straight angle.
C. 23 26 because they are alternate interior angles.
26 and mz1 + m23 = 180.
OD. 21 and 26 are supplementary because 23
OE 21 23 because they are vertical angles.
>
The true statements regarding this situation are as follows:
Angles 3 and 6 are congruent because they are alternate interior angles.Angles 1 and 3 add to 180º as they are straight angles.Angles 1 and 6 are supplementary.What is the missing information?The diagram is missing, but it is given on the graph at the end of the answer. (not drawn to scale)
What are the correct statements?The alternate interior angles are between the two parallel lines, one in each side, and they are congruent.
Hence:
Angles 3 and 6 are congruent because they are alternate interior angles.
Straight angles are angles of 180º on a line, hence:
Angles 1 and 3 add to 180º as they are straight angles.
Since angles 3 and 6 are congruent(alternate interior), angles 1 and 6 will also be supplementary, as they add to 180º.
A similar problem, in which a transversal cuts two parallel lines, is given at the end of the answer.
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When some software companies develop software, they do it with "planned obsolescence"
in mind. This means that they plan on the sale of the software to rise, hit a point of
maximum sales, then drop and eventually stop when they release a newer version of the
software. Suppose a graph of the curve showing the number of sales over time can be
modeled with a parabola and that the company plans on the "life span" of its product to be
6 months, with maximum sales reaching 1.5 million units. Write an equation that models
this situation.
The equation of the parabola that models the given situation is y=-1/6 (x-3)^2 +1.5.
Define parabola and its types.
A parabola is a roughly U-shaped mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions that all define the same curves.
To represent a parabola algebraically in the coordinate plane, the standard equation of a parabola is used. The general equation of the parabola is given by [tex]$\mathrm{y}=a(x-h)^2+\mathrm{k}$[/tex]or [tex]$\mathrm{x}=a(y-k)^2+\mathrm{h}$[/tex], where [tex]$(\mathrm{h}, \mathrm{k})$[/tex] denotes the vertex. A regular parabola's standard equation is y^2= 4ax
Now, the equation of parabola for the given situation is calculated as:
y=a(x-3)^2 +1.5
Now, put the value of x=0 and y=0.
0=a(0-3)^2+1.5
0=9 a+1.5
-9 a=1.5
a=-1.5 / 9
a=-1 / 6
Now, put the value of a in equation[tex]$\mathrm{y}=a(x-3)^2+1.5$[/tex] to obtain:
y=-1/6 (x-3)^2 +1.5
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What is the probability that a green
car will be chosen out of the
following collection? 12 red cars, 14 blue cars, 11 green
cars, and 20 yellow cars.
Express the answer as a reduced
fraction.
Answer:11/57
Step-by-step explanation:
State the inequality that represents the graph below. Show steps used to find the inequality. HELPPPPP
The inequality representing the graph shown in figure is -
y < 6x + 3.
[Refer to the graph plotted at the end for confirmation]
What is Inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. The L.H.S and R.H.S of an inequality are not equal.
Given is a graph of an inequality plotted on graph paper.
The following steps are to be followed in order to find the inequality -
STEP 1 - Determining inequality type.
From the graph, it can be seen that the the border line dividing the green shaded area from the remaining graph is uniform i.e. not dashed. Therefore, the inequality is a strict inequality which means that, either inequality sign is '>' or '<'. The sign cannot be ≤ or ≥.
STEP 2 - Determining the inequality equation.
From the graph, it can be seen that the y - intercept of line is (0, 3). The line cuts the x - axis at coordinates (- 0.5, 0). Therefore, it can be concluded that -
y - intercept = 3
x - intercept = - 0.5
Then, the slope of line will be = [m] = | 3 - 0/0 -(- 0.5) | = |3/0.5| = 6
The general equation of line with slope 'm' and y - intercept is -
y = mx + c
y = 6x + 3
Therefore, y = 6x + 3 is the equation of straight line.
STEP 3 - Determining the side to be shaded.
For this, take the origin (0, 0) and test it with both the inequalities '>' and '<'.
For inequality → greater than ' > ' -
y > 6x + 3
Put (x, y) as (0, 0), we get -
0 > 6 x 0 + 3
0 > 3
Which is false.
For inequality → less than ' < ' -
y < 6x + 3
Put (x, y) as (0, 0), we get -
0 < 6 x 0 + 3
0 < 3
which is true.
So our final inequality is → y < 6x + 3.
Therefore, the inequality representing the graph shown in figure is -
y < 6x + 3.
[The graph for this inequality is attached below]
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Can someone help plss
Answer:
See below
Step-by-step explanation:
Plug in each number for x to test each equation
X=1
Y=-3x + 22 = - 3(1) + 22 = 19
X=3
Y= -3(3) + 22 = - 9 + 22 = 13
And so on, if they match the y row, then it's the correct answer
BRAINLIEST ONLY GIVEN IF ANSWERED PROPERLY, WILL REPORT IF SPAM
Answer:
s/2πh
Step-by-step explanation:
dividing both sides by 2 will result in s/2 = πrh
dividing both sides by π will result in s/2π = rh
dividing both sides by h results in s/2πh = r
comment if you need further explanation
(no brainliest needed)
_____are collected from several entities at the same point in time.
a. cross-sectional data
b. time series data
c. random data
d. categorical and quantit
Cross sectional data are collected from several entities at the same point in time.
What is cross-sectional data?In statistics and econometrics, cross-sectional data, often known as a cross section of a research population, is a type of data gathered by watching numerous participants all at once. It's also possible that the analysis disregards variations in time.
You evaluate a data set at a certain point in time when you conduct a cross-sectional data analysis. Cross-sectional data is frequently sourced from surveys and public records. The datasets document observations of various variables at a specific time.
In conclusion, the correct option is A.
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How many square feet of outdoor carpet will we need for this hole
11ft
7ft
2ft
3ft
Answer:
you will need 23 square feet because if you add it all up that's what you get
What is 1/5 of (-3, -2) to (1, 1)?
The point at 1/5 of the coordinate points is (-11/5, -7/5)
How to determine the point?The coordinates are given as:
(-3, -2) to (1, 1)?
The location 1/5 can be represented as
m : n = 1 : 4
The location of the point is then calculated as:
P = 1/5 * (mx2 + nx1, my2 + ny1)
This gives
P = 1/5 * (1 * 1 + 4 * -3, 1 * 1 + 4 * -2)
Evaluate
P = 1/5 * (-11, -7)
This gives
P = (-11/5, -7/5)
Hence, the point at 1/5 of the coordinate points is (-11/5, -7/5)
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what is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)? (5 points) y 5
The equation of the line in point-slope form is: y - 5 = -x + 2.
What is the Equation of a Line in Point-slope Form?The equation of the line can be modelled as y - b = m(x - a), in point-slope form..
Given the following:
(2, 5) and (-1, 8), find the slope
Slope of the line (m) = change in y / change in x = (8 - 5)/(-1 - 2)
Slope of the line (m) = 3/-3
Slope of the line (m) = -1
Substitute (a, b) = (2, 5) and m = -1 into y - b = m(x - a):
y - 5 = -1(x - 2)
y - 5 = -x + 2
Therefore, the equation of the line in point-slope form is: y - 5 = -x + 2.
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Which expression simplifies to 2√/15?
The simplification of the number 2√15 is 7.74.
What is defined as taking square root?Squaring a number would be the inverse operation of square rooting it.
The square of a number is really the value obtained by multiplying the number by itself, whereas the square root of such a number is obtained by locating a number that, when squared, yields the original number. If 'a' has been the square root of 'b,' then a × a = b.A number's square root is the value of power 1/2 of such a number. In all the other phrases, it is the number for whom product yields the original number on its own. It is represented by the symbol '√ '. The square root sign is known as a radical, and the number beneath it is known as a radicand.The given expression is;
= 2√15
For finding the value of √15; use long division method.
√15 = 3.87
Put the value;
= 2 × 3.87
= 7.74.
Thus, the value of the expression is found as 7.74.
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If you can please provide the step-by-step explanation.
Answer:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
help help help help help help help help help help help help help help help help help help help help
Answer:
9. In banking, the account balance is the amount of money you have available in your checking or savings account. Your account balance is the net amount available to you after all deposits and credits have been balanced with any charges or debits.
10 . The temperature of water in a glass if room temperature is 21 degrees Celsius if a glass is standing one in that room, because room temperature is commonly given as 20 to 22 degrees Celsius, however, if the air in the room goes through temperature variations,then a body of water will heat up or cool down,then the temperature of
the water in the glass tends to average out those temperature variations.
if you are given the sum of the squares of three consecutive integers, what four digits can never occur in the ones place?
As given the sum of squares of three consecutive integers, four digits which never occur in the ones place are 1,3,6,8.
As given,
Let x -1 , x , x +1 are three consecutive integers.
Sum of the squares of three consecutive integers
= (x -1)² +x² + (x+1)²
= x² -2x +1 +x² +x² +2x +1
=3x² +2
Now substitute x = 0,1,2,3,4,5,6,7,8,9
Sum = 2, 5,14,29, 50, 77, 110, 149, 194, 245
Four digit never occur at ones place = 1,3,6,8
Therefore, as given the sum of squares of three consecutive integers, four digits which never occur in the ones place are 1,3,6,8.
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Is the number
Pi 9/25 irrational or rational
Answer:
Rational
Step-by-step explanation:
Pi 9/25 = 1.131
Decimals are usually rational
Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant. cos(t), sin(t); quadrant iv
if the terminal point indicated by t is in the provided quadrant, the first equation in terms of the second quadrant iv; cos(t), sin(t). [tex]\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}[/tex]
What is Trig Identities?Trig identities come in handy when we need to express one trig function in terms of another. The most famous trig identity is derived straight from the Pythagorean Theorem:
sin² t + cos² t = 1
According to the given data:For an angle t in Quadrant IV, we know sin t is positive.
From the trig identity sin² t + cos² t = 1
we can also write as:
sin t + cos t:
Now,
sin² t + cos² t = 1
sin² t = 1 - cos² t
sin t = ±√( 1 - cos² t)
As noted above,
sin t is positive for t in the Quadrant IV, and so we have
sin t = √( 1 - cos² t)
We know that
[tex]\cos t=\frac{1}{\sec t}[/tex]
So, the equation will be
[tex]\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}[/tex]
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What is x=17+3
What does x equals
Ps hi Wana be friends
Answer:x=20
Step-by-step explanation:You would keep x by itself and you would add 17+3 which would equal 20.So therefore the answer would be x=20.
simplify 5• (-8) • 2
Answer:
-80
Step-by-step explanation:
This question involves order of operations.
Since all operators are multiply, we will evaluate them from left to right.
5 × -8 × 2
= - 40 x 2
= - 80
Answer:
-80
Step-by-step explanation:
What is the fraction 9/5 x + 23 greater than or equal to -50 (negative 50)
Answer:
x [tex]\geq[/tex] -40.6
Step-by-step explanation:
9/5x + 23 [tex]\geq[/tex] -50 (subtract 23 over to other side)
9/5x [tex]\geq[/tex] -73 (multiply by 5)
9x [tex]\geq[/tex] -365 (divide by 9)
x [tex]\geq[/tex] -40.6
During their break, Marcus and Kaelan visit the café for lunch. Marcus orders a bacon
cheeseburger, a large order of french fries and a small soft drink. Kaelan orders a chicken fajita
taco, cole slaw and a milkshake. Who spends more money? How much more does he spend?
Show your work
Answer: Kaelan spends more money. Kaelan spends 0.25 cents more.
Step-by-step explanation:please give brainliest if right.
100 points because I really need the answer to this soon
Simplify the expression [tex]\sqrt\frac{9x^{3}}{4y^{2}}[/tex]. Show your work
[tex]\bold{H \: e \: y \: o \: !}[/tex]
__________________
[tex]\mathtt{\sqrt{\frac{9x^3}{4y^2}}}[/tex]
__________________
Apply radical rule: [tex]\mathtt{=\sqrt{\frac{a}{b}}} \: = \: \mathtt{\sqrt{\frac{a}{b}}},[/tex] assuming [tex]\mathtt{a \geq 0, \: b \: \leq 0}[/tex]
[tex]\mathtt{=\sqrt{\frac{9x^3}{4y^2}}}[/tex]
__________________
Simplify: [tex]\mathtt{\sqrt{9x^3}} \: : \: \mathtt{3x\sqrt{x}}}[/tex]
[tex]\mathtt{=\sqrt{\frac{3x\sqrt{x}}{4y^2}}}[/tex]
__________________
Simplify: [tex]\mathtt{\sqrt{4y^2}} \: : \: \mathtt{2y}[/tex]
[tex]\mathtt{\frac{3x\sqrt{x}}{2y}}[/tex]
Hope It Helps!
A n s w e r e d : - ᴀᴅʀɪᴀɴɴᴏɪʀ
The Dallas Cowboys football team have lost 15 of the 75 games they have played. What percentage of games have they lost?
Answer:
20%
Step-by-step explanation:
The scale for Karima's drawing is 2 cm to 5 m. Explain what this means in your own words.
Answer:
Step-by-step explanation:
It means she made a rectangle. 2cm wide, 5cm high.
Can u answer this, if u do ur a chad
Answer: (4, -4)
Step-by-step explanation: In the fourth quadrant, x = positive and y = negative, if you count the squares, 4 would be on the top and four would align to T on the bottom. Since x goes first, it would result in (4, -4)
Which of the following is not a function? (There may be more than one answer). Explain Clearly Please.
The options that are not functions from those given are; Options B and C.
How to Identify Functions?
The vertical line test is a method that is used to determine given relation is a function or not.
A) This table can be classified as a function because the input x-values have independent y-values as output. The only repeated output value is 7. Thus, we can say that it is likely a quadratic function with x-intercept as x = 2.
B) This cannot be a function because the same input values which is 6 has 2 different output values.
C) Similar to B above, this curve cannot be a function because some input values have 2 output values which is not a property of a function.
D) This is a function because of the wave and it is likely a trigonometric function.
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Suppose that people who study very hard for the bar exam have an odds of 1.22 of passing the bar exam. what is the probability someone who studies very hard for the bar passe?
0.45 is the probability someone who studies very hard for the bar passe.
What is probability?
The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favourable Outcomes/Number of total outcomes.Odds of passing = 1.22 = p ( passing)/ P(not passing)
P(Pass)/P( fail) = 1.22
p (pass) = 1.22 p (fail)
P(pass) + P(fail) = 1
1.22 p (fail) + p(fail) = 1
2.22 p(fail) = 1
P (fail) = 0.4505 ≅ 0.45
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A shipping container will be used to transport several 50-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 25000 kilograms. Other shipments weighing 11000 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine x, the number of 50-kilogram crates that can be loaded into the shipping container.
The Answer is
-50x+11000 ≤ 25000
x ≤ 402
Fr33 P0!nt$
The inequality will be 50x ≤ 25000 - 11000 and the value of x will be x ≤ 402.
How to calculate the value?From the information, the shipping container will be used to transport several 50-kilogram crates across the country by rail and the greatest weight that can be loaded into the container is 25000 kilograms.
Let the number of 50-kilogram crates that can be loaded into the shipping container be represented by x.
This will be:
50(x) + 11000 ≤ 25000
50x+11000 ≤ 25000
Collect like terms
50x ≤ 25000 - 11000
50x ≤ 14000
Divide
50x/50 ≤ 14000 / 50
x ≤ 402
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the length of zx is 2 units.what is the perimeter of triangle xyz?5 2 units5 3 units5 2 units10 2 units
According to the given statement the perimeter of triangle xyz = P = (3√5 + 5) units.
What does coordinate geometry mean?The analysis of geometry involving coordinate points is known as coordinate geometry (also known as analytical geometry). Finding this same distance between two points, dividing lines in the m:n ratio, locating a line's midpoint, and calculating the area of a triangle throughout the Cartesian plane are all feasible using coordinate geometry.
According to the given information:The distance of ZY
Z(1,0)
Y(3,1)
Substituting the the value if formula we get:
d = √((1 - 0)² + (3 - 1)²)
dZY = √5 units
Now ,
distance between XY
X(-1 , 4)
Y(3 , 1)
d = √((1 - 4)² + (3 + 1)²)
dZY = √25 units
= 5 units.
The perimeter of the triangle:
P = ZX + ZY + XY
adding all that value we get:
P = (2√5 + √5 + 5)
P = (3√5 + 5) units.
According to the given statement the perimeter of triangle xyz = P = (3√5 + 5) units.
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