Answer:
profit= sp-cp
loss %= loss ×100%/cp
=(cp-sp) ×100%/cp
= (1-sp)×100%/cp
solve for y.
y + 5.74 = 9.62
Answer:
3.88
Step-by-step explanation:
1. Subtract 5.74 from both sides of the equation
9.62-5.74=3.88
Find the present value that will grow to $24000 if interest is 3% compounded quarterly for 14 quarters. The present value is $ . (Round to the nearest cent as needed.)
Answer:
$21,616.26.
Step-by-step explanation:
24000 =P(1 + 0.03/4)^14
P = 24000 / (1 + 0.03/4)^14)
21,616.26.
=
The present value that will grow to $24000 if interest is 3% compounded quarterly for 14 quarters is $21,482.40
To find the present value that will grow to $24,000 at 3% interest compounded quarterly for 14 quarters, we use the formula for compound interest:
[tex]PV = FV / (1 + r/n)^{(n*t)}[/tex]
Where:
PV = Present Value
FV = Future Value ($24,000)
r = Annual interest rate (3% or 0.03 as a decimal)
n = Number of compounding periods per year (quarterly, so n = 4)
t = Number of years (14 quarters = 14/4 = 3.5 years)
Substitute the values into the formula:
PV = [tex]$24,000 / (1 + 0.03/4)^{(4*3.5)}[/tex]
PV = [tex]$24,000 / (1 + 0.0075)^{(14)}[/tex]
PV = [tex]$24,000 / (1.0075)^{14}[/tex]
PV ≈ $21,482.40 (rounded to the nearest cent)
Therefore, the present value required for it to grow to $24,000 in 14 quarters at 3% interest compounded quarterly is approximately $21,482.40.
In this explanation, we used the formula for compound interest to calculate the present value (PV). The formula accounts for the future value (FV), the annual interest rate (r), the number of compounding periods per year (n), and the time in years (t). By plugging in the given values and performing the calculations, we arrived at the present value of approximately $21,482.40.
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In the figure, BAT - CAT. Which statement is true by CPCTC?
Answer:
C
Step-by-step explanation:
The angles are congruent by CPCTC as they correspond with one another.
Answer:
The final answer, D
Step-by-step explanation:
Source: Done this question before
Which type of option helps the importer to hedge risks of exchange rate? A. Put option B. All names are not correct c. Call option d. Call option and put option
Answer:
Call option and put option ( D )
Step-by-step explanation:
During hedging in stock/financial markets both the Call and put option can be used to hedge the trading position of the trader against the change in exchange. This is because the call or put option is used depending on the initial position of the trader.
Call option is used when the trader is currently holding a short position
Put option is used when the trader is currently holding a long position
Based on the family the graph below belongs to, which equation could represent the graph?
On a coordinate plane, a curve opens up and to the right. It crosses the x-axis at (negative 1.5, 0) and then crosses the y-axis at (0, negative 1).
y = 0.6 Superscript x Baseline minus 2
y = 0.6 x squared minus 1
y = negative 0.6 x cubed minus 1
y = log (x) minus 2
Answer:
A
Step-by-step explanation:
The answer is 0.6^(x)-2. Answered by Gauthmath
From the graph, the equation that's is represented is A. 0.6x - 2.
How to illustrate the graph?From the equation, on the coordinate plane, the curve opens up and to the right. It crosses the x-axis at (negative 1.5, 0) and then crosses the y-axis at (0, negative 1).
Here, based on the family the graph below belongs to, the equation represented is the first equation which is 0.6x - 2.
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A taxi fare is $3 and then $0.40 for every kilometre. A taxi fare is $9 . How far has the taxi travelled?
Answer:
y = 3 + 0.40x
Step-by-step explanation:
Fixed cost of taxi fare = $3
Additional cost = $0.40
Let
y = Total cost
x = number of kilometers
The equation:
Total cost = Fixed cost of taxi fare + (Additional cost * number of kilometers)
y = 3 + 0.40x
5/9+8/9 can someone please help me with this math question? All I know is that you have to add the fractions, Express the sum as a proper fraction or a mixed number.
Answer:
13/9
Step-by-step explanation:
Given
5/9 + 8/9
Both fractions have the same denominator.
Therefore, pick one of the denominator and add the numerators
5/9 + 8/9
= (5+8) / 9
= 13/9
5/9 + 8/9 = 13/9
what is the equation of the line that passes through the points (-10,-3) and (0,6)?
Answer:
9x-10y+60=0
Step-by-step explanation:
slope is,
m = (6-(-3))/(0-(-10))
= 9/10
b = -3-(9/10)×(-10)
= 6
So, the equation of the line is,
y = 9x/10+6
or, 9x-10y+60=0
Answered by GAUTHMATH
** PLSS HELP QUICK I’LL MARK BRAINLIEST **
Answer:
copy and paste...
Step-by-step explanation:
Here are the fuel efficiencies (in mpg) of 8 new cars.
16, 42, 13, 27, 54, 13, 23, 31
What is the percentage of these cars with a fuel efficiency less than 27 mpg?
Answer:
4/8= 2/4=1/2= 50%
Step-by-step explanation:
4 out of the 8 new cars have a fuel efficiency of less than 27 mpg. that is is 50%
find the perimeter of the polygon
Answer:
101
10+6+16+6*5
I hope it's correct
Help please !!!!!!!!!
Answer: (a): Good course, (b): Bad course
Step-by-step explanation:
Firstly, because the standard deviation of the good course results is lower, there is less variation so he performs more consistently there.
Secondly, the trick with the second question is that while the mean of the bad course is slightly less, the standard deviation is quite a lot higher than that of the good course, so it's more likely that the highest single test score belongs to the bad course.
Find the equation of a line perpendicular to 8x - 2y = 4 and passes through the point (4, 3).
y = -2x-3
Lines that are perpendicular have slopes that are negative reciprocals of each other. Meaning, if a line has slope , then a line perpendicular to this has slope . That means the slope of our perpendicular line is
The equation of the line that is perpendicular to 8x - 2y = 4 and passes through the point (4, 3) is y = (-1/4)x + 4.
To find the equation of a line that is perpendicular to the line 8x - 2y = 4 and passes through the point (4, 3), we can use the fact that the slopes of perpendicular lines are negative reciprocals of each other.
First, let's rewrite the given equation in slope-intercept form (y = mx + b), where m represents the slope:
8x - 2y = 4
-2y = -8x + 4
Divide both sides by -2:
y = 4x - 2
The slope of the given line is 4.
The slope of a line perpendicular to this line would be the negative reciprocal of 4, which is -1/4.
Now, we have the slope (-1/4) and a point (4, 3). We can use the point-slope form of a linear equation:
y - y₁ = m(x - x₁)
Substituting the values, we have:
y - 3 = (-1/4)(x - 4)
Expanding and simplifying, we get:
y - 3 = (-1/4)x + 1
Adding 3 to both sides, we have:
y = (-1/4)x + 4
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Please help me with question 4!
Answer:
I think that there might be some complex differential equation
stuff going on here if this were in the real world, but for the sake of this problem... may I suggest that the tank is filling up at a rate of
1/8 of a tank per hour...
it is evaporating at a rate of 1/12 tank per hour
you can subtract the rates
1/8 - 1/12 = 12/96- 8/96 = 3/96 = 1/32 tank/hr
so to fill the tank it should take 32 hours...
I think the logic and math work... lets see if someone else will verify this analysis?
Step-by-step explanation:
Please help explanation if possible
Answer: y = -1x + 1
Step-by-step explanation:
(choose two points on the line to find the slope)
(0,1) and (2,-1)
(slope = m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-1}{2-0}=\frac{-2}{2} =-1[/tex]
y = mx + b, (0,1), (2,-1), m=-1
(both points work and yield the same equation)
[tex]y=mx+b\\1=-1(0)+b\\b=1\\y=-1x+1[/tex]
a man sells an article at rupees 600 and makes a profit of 20% of selling price calculate is profit percentage
Answer:
25%
Step-by-step explanation:
profit percentage = (profit/cost price) * 100
selling price = 600
profit = 600 * 20/100 = 120
cost price = 600-120 =480
profit percentage = (120/480) * 100 = 25
Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was 4 minutes. Use that as a planning value for the standard deviation in answering the following questions. Round your answer to next whole number. a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of seconds, what sample size should be used
Answer:
[tex]n=35[/tex]
Step-by-step explanation:
From the question we are told that:
Standard Deviation [tex]\sigma=4min[/tex]
Let
[tex]CI=95\%[/tex]
Since
Significance level [tex]\alpha[/tex]
[tex]\alpha =1-CI[/tex]
[tex]\alpha =1-0.95[/tex]
Therefore
[tex]Z_{\alpha/2}=Z_{0.025[/tex]
[tex]Z_{\alpha/2}}=1.96[/tex]
Generally the equation for Sample size is mathematically given by
[tex]n = (Z_{\alpha/2}* \frac{\sigma}{E})^2[/tex]
[tex]n= \frac{1.96 * 3}{1}^2[/tex]
[tex]n=35[/tex]
NEED HELP ASAP!!!!!!
Performance Task Vector Operations
e) Draw u + 3v – 1/2w
Answer:
(2, -6)
Step-by-step explanation:
u = (5, 0)
v = (-2, -1)
w = (-6, 6)
(5, 0) + 3(-2, -1) - 1/2(-6, 6)
= (5, 0) + (-6, -3) + (3, -3)
= (2, -6)
Paul invests ₦4800 for 5 years at 3% per annum simple interest. Calculate the amount Paul has after 5 years.
Answer:
bạn cực ngu
Step-by-step explanation:
bạn cực kì ngu
Solve for x in the drawing above.
Answer:
x is 28°
Step-by-step explanation:
Alternate angles of parallel lines:
[tex]{ \sf{x = \frac{1}{2} \times 56 \degree }} \\ { \sf{x = 28 \degree}}[/tex]
Answer:
Hello,
28°
Step-by-step explanation:
Calculate the complementary angle of x =y
In the triangle on the right :
y+y+56°=180°
y=62°
So x=90°-62°=28°
find the measure of x and y
Answer:
x = 94, y = 76
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral sum to 180° , then
x + 86 = 180 ( subtract 86 from both sides )
x = 94
and
y + 104 = 180 ( subtract 104 from both sides )
y = 76
help please, i'll give brainliest
If a and b are parallel and c and d are parallel, which pair of angles are congruent?
A. 1 and 16
B. 5 and 8
C. 9 and 11
D. 12 and 13
Vanessa and her friends are watching three movies consecutively. The first movie is 2 hours and 17 minutes long. The second movie is 84 minutes long, and the last movie is 99 minutes long. How much time will they spend watching the movies?
Answer:
320 minutes (5 hours and 20 minutes).
Step-by-step explanation:
2 hours and 17 minutes = 137 minutes
137 + 84 + 99 = 320
Therefore, they will spend 320 minutes (5 hours and 20 minutes) watching movies.
Use the figure to classify the obtuse angle
Answer:
AOB
Step-by-step explanation:
An obtuse angle is larger than 90 and less than 180
COB = 90
AOB is larger than COB and less than 180
Identifying linear pairs and vertical angles
Answer:
a. linear pair 5 & 6
b. pair of vertical angles 5 & 2
c. pair of angles that are congruent 3 & 8
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect.
Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines.
If two angles are complements of the same angle (or congruent angles), then the two angles are congruent. All right angles are congruent.
need help with this!!!
Answer:
I say the fourth one just because
The translation of ABCD to A'B'C'D'
is given by (x+[?],y-[ ).
5
B
С
4
3
2
A А
D
C
1
B В
23 -2 -1 0
-1
-7 -6
-5
-4
1
2
3
4
2
A'
D'
Enter
Answer:
(x+2,y-4)
Step-by-step explanation:
The correct answer is (x+2, y-4)
The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Translation is the movement of a point either up, left, right or down.
ABCD has vertices at A(-6, 2), B(-5, 4), C(-2, 4) and D(1, 2). If ABCD is translated 4 units down and 2 units right, the new point is A'(-4, -2), B'(-3, 0), C'(0, 0) and D'(3, -2)
The translation of ABCD to A'B'C'D' is given by (x + 2,y - 4).
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What is the constant of proportionality in the equation x 2
—- = ——
Y 9
Answer:
The Constant is 9/2
Select the correct answer. What is the completely factored form of this polynomial? 5x4 + 20x3 − 105x2 A. 5x3(x + 3)(x − 7) B. 5x2(x − 3)(x + 7) C. 5x3(x − 3)(x + 7) D. 5x2(x + 3)(x − 7)
Answer:
B.5: 5^2(-3)(+7)
Step-by-step explanation:
1. 5 is the HCF of the three numbers, so it goes outside the brackets. 5(^4+4^3−21^2).
2. ^2 is also a factor, so now its 5^2(^2+4-21)
3. Factor by Grouping 5^2(^2−3+7−21)
4. Factor by Grouping 5^2((−3)+7(−3))
5. Factor by Grouping 5^2(−3)(+7)
Thats your final answer.
