need help I don't know the answer
Mr. and Mrs. Chan want to buy new furniture that has a cash price of $6230. On the installment plan, they must pay %25 of the cash price as a down payment and make twelve monthly payments of $415.
The interest due on financing option is $307.50
What is interest on financing?
Interest on financing is the extra amount paid by the couple when their total payments are compared to the cash price of $6,230.
The total payments would be the 25% down payment plus the sum of the twelve monthly payments of $415 each
Down payment=cash price*25%
Down payment=$6230*25%
Down payment=$1,557.50
Total monthly payments=amount of each monthly payment*number of monthly payments
monthly payment=$415
number of monthly payments=12
Total monthly payments=$415*12
Total monthly payments=$4,980
Total payment under financing=Down payment +Total monthly payments
Total payment under financing=$1,557.50+$4,980
Total payment under financing=$6,537.50
Interest=$6,537.50-$6,230
Interest on financing=$307.50
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Complete question:
Mr. and Mrs. Chan want to buy new furniture that has a cash price of $6230. On the installment plan, they must pay %25 of the cash price as a down payment and make twelve monthly payments of $415. How much interest did they pay due to financing?
question is in the image
From the information given, F(x) = 9.3319419 or approximately 9. This is problem relating to math functions
What is the calculation supporting the above answer?Recall that we are given x to be = 16.1
Hence,
[tex]f\left(x\right)=\ 2x^{\frac{1}{4}}\ +\ 3x^{\frac{1}{2}}[/tex] =
2 (16.1) ⁰°²⁵ + 3 (16.1)⁰°⁵
= 32.2⁰°²⁵ + 48.3⁰°⁵
= 2.3821218 +6.9498201
f(x) = 9.3319419
f(x) approximately 9
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The total mass of Faizal, John and Raju is 154.2 kg. John is 10.48 kg
heavier than Raju and 9.23 kg heavier than Faizal. Find Raju's mass.
Answer:
R = 47.49 kg
Step-by-step explanation:
To find answer, I will put things in terms of Raju's mass
J = R + 10.48
J - 9.23 = F or R + 10.48 - 9.23 = F
F + J + R = 154.2
(R + 10.48- 9.23) + (R+10.48 ) + R = 154.2
3R = 142.47
R=47.49 kg
questions c, d, e please!
Answer:
c) 3 units
d) g(x) - f(x) = x² + 2x
e) (-∞, -2] ∪ [0, ∞)
Step-by-step explanation:
Part (c)To calculate the length of FC, first find the coordinates of point C.
The y-value of point C is zero since this is where the function f(x) intercepts the x-axis. Therefore, set f(x) to zero and solve for x:
[tex]\implies 1-x^2=0[/tex]
[tex]\implies x^2=1[/tex]
[tex]\implies \sqrt{x^2}=\sqrt{1}[/tex]
[tex]\implies x= \pm 1[/tex]
As point C has a positive x-value, C = (1, 0).
To find point F, substitute the x-value of point C into g(x):
[tex]\implies g(1)=2(1)+1=3[/tex]
⇒ F = (1, 3).
Length FC is the difference in the y-value of points C and F:
[tex]\begin{aligned} \implies \sf FC& = \sf y_F-y_C\\ & = \sf 3-0\\ & =\sf 3\:units \end{aligned}[/tex]
Part (d)Given functions:
[tex]\begin{cases}f(x)=1-x^2\\ g(x)=2x+1 \end{cases}[/tex]
Therefore:
[tex]\begin{aligned}\implies g(x)-f(x) & = (2x+1) - (1-x^2)\\& = 2x+1-1+x^2\\& = x^2+2x\end{aligned}[/tex]
Part (e)The values of x for which g(x) ≥ f(x) are where the line of g(x) is above the curve of f(x):
point A → ∞point E → -∞Point A is the y-intercept of both functions, therefore the x-value of point A is 0.
To find the x-value of point E, equate the two functions and solve for x:
[tex]\begin{aligned}g(x) & = f(x)\\\implies 2x+1 & = 1-x^2\\x^2+2x & = 0\\x(x+2) & = 0\\\implies x & = 0, -2\end{aligned}[/tex]
As the x-value of point E is negative ⇒ x = -2.
Therefore, the values of x for which g(x) ≥ f(x) are:
Solution: x ≤ -2 or x ≥ 0Interval notation: (-∞, -2] ∪ [0, ∞)Answer:
a)
A = (0, 1)
B = (-1, 0)
C = (1, 0)
D = (-0.5, 0)
b) E = (-2, -3)
c) FC = 3 units
d) x² + 2x
e) x ≤ -2 and x ≥ 0
Explanation:
This question displays one equation of a linear function g(x) = 2x + 1 and a parabolic function f(x) = 1 - x².
a)
A point is where the linear function cuts the y axis.
y = 1 - (0)²
y = 1
A = (0, 1)
B and C point is where the parabolic function cuts the x axis.
1 - x² = 0
-x² = -1
x² = 1
x = ±√1
x = -1, 1
B = (-1, 0), C = (1, 0)
D point is where the linear function cuts x axis.
2x + 1 = 0
2x = -1
x = -1/2 or -0.5
D = (-0.5, 0)
b)
E point is where both equations intersect each other.
y = y
2x + 1 = 1 - x²
x² + 2x = 0
x(x + 2) = 0
x = 0, x = -2
y = 1, y = -3
E = (-2, -3)
c)
C : (1, 0)
To find F point
y = 2(1) + 1
y = 3
F : (1, 3)
[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
[tex]\sf d = \sqrt{(1 - 1)^2 + (3 - 0)^2}[/tex]
[tex]\sf d = \sqrt{0 + 3^2}[/tex]
[tex]\sf d = 3[/tex]
FC length = 3 units
d)
g(x) - f(x)
(2x + 1) - (1 - x²)
2x + 1 - 1 + x²
x² + 2x
e)
g(x) ≥ f(x)
2x + 1 ≥ 1 - x²
x² + 2x ≥ 0
x(x + 2) ≥ 0
[tex]\boxed{If \ x \ \geq \ \pm \ a \ then \ -a \ \leq x \ \ and \ x \ \geq \ a }[/tex]
x ≤ -2 and x ≥ 0
Which statement best reflects the solution(s) of the equation? ASAP
The solutions to the equation 1 / (x - 1) + 2/x = x / (x - 1) are two solution which are x = 2; and x = 1
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.
Given the equation:
1 / (x - 1) + 2/x = x / (x - 1)
Multiplying through the equation by x(x - 1):
x + 2(x - 1) = x(x)
x² - 3x + 2 = 0
x² - 2x - x + 2 = 0
(x - 2)(x - 1) = 0
x = 2; and x = 1
The solutions to the equation 1 / (x - 1) + 2/x = x / (x - 1) are two solution which are x = 2; and x = 1
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If Amn, Bpq are two matrices, state the conditions when they are conformable for (i) addition, (ii) multiplication (iii) addition and multiplication.
Answer:
matrices can be added together if both have the same order
Addition is both commutative and associative
matrices can be multiplied together if the number of column in the right hand matrix equals the number of row in the left hand matrix
What is the best estimate of the correlation for the data set
The best estimate for the correlation coefficient of the data is: C. 0.5.
What is Correlation?Correlation can be defined as a quantitative measure that describes the relationship between variables. Correlation coefficient, r, is a number that ranges from -1 to 1.
The farther the correlation coefficient from 0, the stronger the relationship between two variables, and also, the more closer the data points are on a plotted graph. Also, a negative correlation value will show a trendline on a plot that slopes downward, while positive correlation value will show a trendline that slopes upwards.
In the graph given, the points are moderately closer to each other. Also, the trendline slopes upward, which suggest a positive correlation.
Since the points are moderately spaced from each other, the correlation coefficient would positive and be approximately 0.5.
Therefore, the best estimate for the correlation coefficient of the data is: C. 0.5.
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Which function of the S&P Capital IQ Excel plug-in allows users to extract company data directly from CapIQ’s database and calculate the desired financial metrics using the CapIQ formulas?
Review Later
Formula Builder
Auditing
Screening
Templates
The function of the S&P Capital IQ Excel plug-in allows users to extract company data directly from CapIQ’s database and calculate the desired financial metrics using the CapIQ formulas is; Formula Builder
What is the financial tool used?S&P Capital IQ Excel plug is a tool that helps to provide access to financial data, news and analytics for real estate investment trusts (REITs) including other industry data on bank & thrifts, financial services, insurance, real estate and other markets.
Now, when the Excel Plug-in has been installed, a new toolbar will be
available in Excel. This toolbar is called formula builder and it is useful for the following use in S&P Capital;
Enable/Disable the Excel Plug-inSearch any company financialsSearch for formulasBuild formulasCreate comp setsGo to saved screensAccess chartingRefresh dataOpen the S&P Capital IQ platform in a browserOpen S&P Capital IQ’s screening pageAccess filingsRead more about Financial Tool at; https://brainly.com/question/14364696
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QUESTION IS DOW BELOW 5 POINTS EACH PLEASE HELP PLEASE HELP PLEASE HELP
a. Central angle: Angle BAC
b. A major arc is: Arc BEC
c. A minor arc is: Arc BC
d. Measure of arc BEC in circle A = 260°
e. Measure of arc BC = 100°
What is the Central Angle Theorem?According to the central angle theorem the measure of central angle (i.e. angle BAC in circle A) is the same as the measure of the intercepted arc (i.e. arc BC in circle A).
What is a Central Angle?Referring to the image given, a central angle (i.e. angle BAC) is formed by two radii of a circle (i.e. AB and AC in circle A), where the vertex of the angle (i.e. vertex A in circle A) is at the center of the circle.
What is a Major Arc?An arc that is bigger than a semicircle (half a circle) or with a measure greater than 180 degrees is called a major arc of a circle.
What is a Minor Arc?An arc that is smaller than a semicircle (half a circle) or with a measure less than 180 degrees is called a minor arc of a circle.
a. Central angle in circle A is: ∠BAC
b. Major arc in circle A is: Arc BEC
c. Minor arc in circle A is: Arc BC.
d. Based on the central angle theorem, we have:
Measure of arc BEC in circle A = 360 - 100
Measure of arc BEC in circle A = 260°
e. m∠BAC = 100° [given]
Based on the central angle theorem, we have:
m(arc BC) = m∠BAC
Measure of arc BC = 100°
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Which two tables represent the same function
Answer:
A and D
Step-by-step explanation:
Let's find the slope of the functions in all tables.
A. -1/2
B. -1/2
C. -1/2
D. 1
E. -1/2
Option D. is out since it has a different slope.
The answer has to be two tables out of A, B, C, and E.
Start with Table A.
As x goes from 8 to 6, y goes up by 1.
We can create points for x = 0 and x = 2
x = 2, y = 9
x = 8, y = 6
This is exactly table D.
Answer: Tables A and D
Fatima purchased a new mattress when it was on sale. The sale price was 34% less than the regular price. If the sale price was $371, what was the original price? (Round your answer to the nearest dollar).
Answer:
$580
Step-by-step explanation:
{371x(100-34)/100}+371=580
The original price (rounded to the nearest dollar) is $497.
Explanation:In this problem, we need to identify what's the original price of the new mattress.
Since we know that the sale price is $371 and is 34% lesser than the original price, we need to add 371 and 34%.
Grab a calculator and add 371 and 34%
we get:
371 + 34% = 497.14
Now round it to the nearest whole number, we get: 497
This is how the answer gets 497.
Hope this helps :)
Example
A soccer league has 60 returning players and 36 new players. Each team will have
the same ratio of returning players to new players as the league has. How many
new players will a team with 10 returning players have?
You can use a double number line to find ratios equivalent to 60: 36.
Number pairs that line up vertically represent equivalent ratios.
Returning Players 0
New Players 0
10
++
6
+6
+
-6
60
36
You can divide each quantity in 60: 36 by 6 to find the equivalent ratio 10:6.
A team with 10 returning players will have 6 new players.
1 Sophia says that you can solve the problem in the Example by multiplying both
quantities in the ratio 60:36 by. Is Sophia correct? Explain.
Answer:
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
If 1/2x = a= 2/3y and x + y= na, what is the value of n?
Answer:
Step-by-step explanation:
[tex]\frac{1}{2} x=a=\frac{2}{3} y\\\frac{1}{2}x=a\\x=2a \\\frac{2}{3} y=a\\y=\frac{3}{2} a\\x+y=2a+\frac{3}{2} a=\frac{4a+3a}{2} =\frac{7}{2} a=na\\n=\frac{7}{2}[/tex]
Drag each pair of coordinates to the correct location on the image. Match each pair of pilar coordinates to the equivalent polar coordinates on the image.
Answer:
(2, -60) = (-2, 120°) = (2, 300°) = (-2, -240°)(-2, 240°) = (-2, -120°) = (2, 60°) = (2, -300°)Step-by-step explanation:
Equivalent polar coordinates will have the same modulus and some multiple of 360° added to the argument, or the opposite modulus and some odd multiple of 180° added to the argument.
a∠b° = a∠(b+360n)° = -a∠(b +180 +360n)°
(2, -60°)Equivalents will be ...
(2, (-60 +360n)°) = (2, 300°)
(-2, (-60 +180 +360n)°) = (-2, -240°) = (-2, 120°)
(-2, 240°)Equivalents will be ...
(-2, (240 +360n)°) = (-2, -120°)
(2, (240 +180 +360n)°) = (2, -300°) = (2, 60°)
Please help due today. (43/7÷ x+32/9) ÷25/6=4/3
The solution to the equation as given in the task content is; x = -3.47.
What is the solution of the equation in discuss?It follows from the task content that the equation given is; (43/7÷ x+32/9) ÷25/6=4/3
(43/7÷ x+32/9) = 25/6 × 4/3
(43/7÷ x+32/9) = 100/18
x +32/9 = 43/7 ÷ 100/18
x + 32/9 = 774/700
x = 774/700 - 32/9
x = -3.47.
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says the expression
2√25+√-16
Answer:
10 + 4i
Step-by-step explanation:
2 sqrt (25) + sqrt (-16) =
2 * 5 + 4i
10 + 4i
Answer:
[tex]10 + 4i[/tex]
Step-by-step explanation:
Original Equation:
[tex]2\sqrt{25} + \sqrt{-16}[/tex]
Simplify sqrt(25)
[tex]2*5+\sqrt{-16}[/tex]
Simplify multiplication
[tex]10+\sqrt{-16}[/tex]
Split the radical -16 into two, using the identity: [tex]\sqrt[n]{a} * \sqrt[n]{b} = \sqrt[n]{ab}[/tex]
[tex]10 + \sqrt{-1}*\sqrt{16}[/tex]
Simplify the sqrt(16) and sqrt(-1) using definition of an imaginary number
[tex]10 + 4i[/tex]
y = x^3 - 52x^2 + 15x^4 + 16 + 20x
The factors of the equation of power 4, [tex]y=x^{3}-52x^{2} +15x^{4} +16+20x[/tex] are x=1, -2, 4/3, -2/5.
Given equation is [tex]y=x^{3}-52x^{2} +15x^{4} +16+20x[/tex],
By performing L-division method, we get
[tex]y = (x-1)(15x^{3} +16x^{2} -36x-16)[/tex]
Then again doing the same L-division method to the cubic equation [tex]15x^{3} +16x^{2} -36x-16[/tex], we get
[tex]15x^{3} +16x^{2} -36x-16 = (x+2)(15x^{2} -14x-8)[/tex]
Therefore, [tex]y = (x-1)(x+2)(15x^{2}-14x-8)[/tex]
Then finally the roots of the quadratic equation [tex]15x^{2}-14x-8[/tex] are (x-(4/3)) and (x+(2/5))
Hence, [tex]y=x^{3}-52x^{2} +15x^{4} +16+20x = (x-1)(x+2)(x-\frac{4}{3} )(x+\frac{2}{5} )[/tex]
Therefore, the roots of the equation of power 4, [tex]y=x^{3}-52x^{2} +15x^{4} +16+20x[/tex] are x=1, -2, 4/3, -2/5.
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1)y-6=12 7)8t=42 porfavor alguien me ayuda con esto
2)-5+k=1 para quien no lo sepa,la cosa es encontrar el valor de
3)-2g=-14 8)-9+z=18 la letra que sale ay
4)y_4=12 9)7+w=14
5)12+u=-12 10)13_5=12
6)f-7=10 11)D_2=-10
The solution to the following equations is given below;
Equationy - 6 = 12
y = 12 + 6
y = 18
-5 + k = 1
k = 1 + 5
k = 6
-2g = -14
g = -14/-2
g = 7
y - 4 = 12
y = 12 + 4
y = 16
12 + u = -12
u = -12 - 12
u = -24
f - 7 = 10
f = 10 + 7
f = 17
8t = 42
t = 42/8
t = 5.25
-9 + z = 18
z = 18 + 9
z = 27
7 + w = 14
w = 14 - 7
w = 7
13 - 5 = 12
8 ≠ 12
D - 2 = -10
D = -10 + 2
D = -8
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Write the ratio of 4 roses to 24 flowers
Answer:
4:24 or also 1:6
Step-by-step explanation:
A chord AB divides a circle of radius 5 cm into
two segments. If AB subtends a central angle of
30, find the area of the minor segment.
the area of the minor segment is 0. 29 cm^2
How to determine the areaFrom the information given, we have the following parameters;
radius, r = 5cmThe angle is 30 degreesAB subtends the angleIt is important to note the formula for area of a sector is given as;
Area = πr² + θ/360° - 1/ 2 r² sin θ
The value for π = 3.142
θ = 30°
Now, let's substitute the values
Area = 3. 142 × 5² × 30/ 360 - 1/ 2 × 5² × sin 30
Find the difference
Area = 3. 142 × 25 × 1/ 12 - 1/ 2 × 25 × 1/2
Multiply through
Area = 6. 54 - 6. 25
Area = 0. 29 cm^2
The area of the minor segment is given as 0. 29 cm^2
Thus, the area of the minor segment is 0. 29 cm^2
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A newspaper article reported that people spend a mean of 7 hours per day watching TV, with a standard deviation of 1.8 hours. A psychologist would like to conduct interviews with the 5% of the population who spend the most time watching TV. She assumes that the daily time people spend watching TV is normally distributed. At least how many hours of daily TV watching are necessary for a person to be eligible for the interview? Carry your intermediate
According to the confidence interval only persons who watch at least 9.9 hours TV per day are eligible.
According to the statement
we have given that the mean of 7 hours per day watching TV, and a standard deviation of 1.8 hours.
And we have to find that the At least how many hours of daily TV watching are necessary for a person to be eligible for the interview.
So, For this purpose,
The confidence interval is is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level.
Let us Assume x is the amount of hours that 5% of the persons exceeds.
Then P(z<(x-7)/1.8) = 0.95
From a standard normal table, we know that:
(x-7)/1.8 = 1.6449
x-7 = 2.9607
x = 9.9607
So, According to the confidence interval only persons who watch at least 9.9 hours TV per day are eligible.
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which expression gives the value of QR?
a. 67 sin 80 degrees over sin 52 degrees
b. 67 sin 52 degrees over sin 80 degrees
c. 51 tan 52 degrees
d. 51 sin 80 degrees over cos 52 degrees
Answer:
B
Step-by-step explanation:
using the Sine Rule in Δ QRS
[tex]\frac{QR}{sinS}[/tex] = [tex]\frac{RS}{sinQ}[/tex] ( substitute values )
[tex]\frac{QR}{sin52}[/tex] = [tex]\frac{67}{sin80}[/tex] ( cross- multiply )
QR × sin80° = 67 × sin52° ( divide both sides by sin80° )
QR = [tex]\frac{67sin52}{sin80}[/tex]
write each number as a logarithm with base 2:-3
The number -3 written as a logarithm with a base of 2 is log₂(0.125) or log₂(1/8)
What are logarithms?As a general rule, logarithms are mathematical expressions that are written in the form log(x) or ln(x), for natural logarithms
How to rewrite the number as a logarithm?The number is given as:
x = -3
The base of the logarithm is given as:
Base = 2
To rewrite the given number as a base of 2, we take the exponent of the number where the base is 2
This is represented as:
Number =2^-3
Apply the power rule of indices
Number =1/2^3
Evaluate the exponent
Number = 1/8
Evaluate the quotient
Number = 0.125
Hence, when the number -3 is rewritten as a logarithm with base 2, the equivalent logarithm expression is log₂(0.125) or log₂(1/8)
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Andrea needs to replace a glass windowpane that is 18 inches wide and 36 inches long. The glass manufacturer charges by the square inch. What measurement does Andrea need to calculate to find the cost of a new pane?
Answer:
The area of windowpane is answer.
Answer:
The area of the window pane
Step-by-step explanation:
The area of an object is the width x length of said object.
Ex: A 4 x 4 sized square has an area of 16 ( 4 x 4 = 4 by 4)
P.S. The area of Andrea´s windowpane is 648.
Solve the equation: (1-x)2³ = 8
Answer:
0
Step-by-step explanation:
because 1-0=1*2^3=8
because2^3=8
In the given figure,
XZ¯= 14 and YZ¯= 3. Find the measure of XY¯.
Answer: 11
Step-by-step explanation:
XY + YZ = XZ
XY + 3 = 14
XY = 11
Please help!
Express the area of the region bounded by the x-axis, y = 1/2x - 2 and y equals the cubed root of x, using definite integrals.
The integral which expresses the area of the region bounded by y = ¹/₂x - 2 and y = ∛x is; ∫⁸₀((x^(1/3)) - ¹/₂x + 2
How to integrate between two curves?
We are given the functions as;
y = ¹/₂x - 2
y = ∛x
Now, from the graph the coordinate of the point where both curves intersect is at; (8, 2)
Thus, the x-coordinate here is x = 8
∛x - (¹/₂x - 2)
∛x - ¹/₂x + 2
Similarly, another point of intersection of both curves is at the coordinate (0, -2). Thus, the x-coordinate here is; x = 0
Thus, the integral which expresses the area of the region bounded by y = ¹/₂x - 2 and y = ∛x is; ∫⁸₀((x^(1/3)) - ¹/₂x + 2
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Desperately need help and an explanation so I can do it on my own later.
Step-by-step explanation:
since the sumation of f(x) of a probability is 1
thw probability to win is o.5 and to lose is o.5 so expected value is xf(x
your expected value will b 0.5 multiply by 5 thats is 2.5 thats your expected gain
What is the expected value when rolling a fair 12-sided die?
A. 7.5
B. 5.35
OC.7
D. 6.5
Answer:
What is the expected value when rolling a fair 12-sided die?
132=6.5
Recall the definition of the expected value:
E[X]=∑ni=1xp(x)
Here, we have 12 possible values the die can take on, and the probability of each one is the same: 1/12. So we can just pull the term p(x), the probability of each outcome, out of the summation:
E[X]=112∑12i=1x
A useful trick here is that the sum of the numbers 1..N=N(N+1)2. So:
E[X]=11212(13)2
E[X]=12(13)12(2)
E[X]=132
Step-by-step explanation:
hope it helps you :)
can someone pls help me with this !
Using a line of best fit, the predicted tsunami speed for the following depths is given by:
a. 1151 km/h.
b. 572 km/h.
c. 130 km/h.
d. 122 km/h.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
For this problem, the points (depth, velocity) are given by:
(7000, 943), (4000, 713), (2000, 504), (200, 159), (50, 79), (10,36)
Inserting these points in the calculator, the velocity in function of the depth is:
v(d) = 0.12879d + 121.03448
Hence, the velocities are given as follows:
a. v(8000) = 0.12879 x 8000 + 121.03448 = 1151 km/h.
b. v(3500) = 0.12879 x 3500 + 121.03448 = 572 km/h.
c. v(70) = 0.12879 x 70 + 121.03448 = 130 km/h.
d. v(5) = 0.12879 x 5 + 121.03448 = 122 km/h.
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