Answers
The two provided payments of $17,000 and $3,300 due in 1 year and 2 years, respectively, would be replaced by two equal payments of $2,287.87 made in 6 months and 5 years.
How to find the two payments that would replace these paymentsTo solve this problem, we need to find two equal payments that would replace the two given payments, given the time and interest rate. We can use the present value formula to calculate these payments:
PV = C / (1 + r)^n
Where
PV is the present value,
C is the future value of the payment,
r is the interest rate per compounding period, and
n is the number of compounding periods.
For the first payment of $17,000 due in 1 year, its present value in 6 months can be calculated as:
PV1 = 17,000 / (1 + 0.08/4)^(2*2) = $14,785.28
For the second payment of $3,300 due in 2 years, its present value in 5 years can be calculated as:
PV2 = 3,300 / (1 + 0.08/4)^(4*2) = $2,424.67
To find the equal payments that would replace these two payments, we can use the annuity formula:
PMT = PV / [(1 - (1 + r)^(-n)) / r]
Where
PMT is the equal payment,
PV is the present value,
r is the interest rate per compounding period, and
n is the number of compounding periods.
For the two payments to be made in 6 months and 5 years, respectively, the total number of compounding periods is
4*2.5 = 10.
The equal payment can be calculated as follows:
PMT = (PV1 + PV2) / [(1 - (1 + 0.08/4)^(-10)) / (0.08/4)] = $2,287.87
Therefore, two equal payments of $2,287.87 made in 6 months and 5 years would replace the two given payments of $17,000 and $3,300 due in 1 year and 2 years, respectively.
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Related Questions
Multiplying a number by which of the following would result in a smallest number?
O 10-1
O 10⁰
O 10¹
102
Answers
write a number or expression in each empty box to create a true equation 15 + 10 = _____ (3 + 2)
Answers
Answer:
5(3-2)
Step-by-step explanation:
15-10
5×3-5×2
Find the distance the point P(3, 1, 7), is to the plane through the three points
Q(5, 0, 3), R(0, -1, 7), and S(7, 5, 0).
Answers
To find the distance from a point P to a plane defined by three points Q, R, and S, we can use the following formula:
distance = |(A * x + B * y + C * z + D) / √(A^2 + B^2 + C^2)|
where (A, B, C) are the coefficients of the normal vector of the plane, (x, y, z) are the coordinates of the point P, and D is the constant in the equation of the plane.
To find the coefficients of the normal vector, we can use the cross product of two vectors lying in the plane, say, QR and RS.
Let's first find the vectors QR and RS:
QR = (5 - 0, 0 - (-1), 3 - 7) = (5, 1, -4)
RS = (7 - 0, 5 - (-1), 0 - 7) = (7, 6, -7)
Next, we find the cross product of QR and RS:
cross product of QR and RS = (B, C, A) = (7, -30, 15)
So, the normal vector of the plane is (15, -30, 7).
Now we substitute the values for the coefficients and the coordinates of the point P into the formula:
distance = |(15 * 3 + (-30) * 1 + 7 * 7 + D) / √(15^2 + (-30)^2 + 7^2)|
To find the value of D, we can use any of the three points on the plane and substitute their coordinates into the equation of the plane in the form Ax + By + Cz + D = 0.
Let's use the point Q:
15 * 5 + (-30) * 0 + 7 * 3 + D = 0
Expanding and solving for D, we get:
75 + 21 + D = 0
D = -96
Finally, substituting the values back into the formula for distance, we get:
distance = |(15 * 3 + (-30) * 1 + 7 * 7 + -96) / √(15^2 + (-30)^2 + 7^2)|
distance = |(-24 + -30 + 49 - 96) / √(15^2 + (-30)^2 + 7^2)|
distance = |(-101) / √(15^2 + (-30)^2 + 7^2)|
distance = |(-101) / √(15^2 + (-30)^2 + 7^2)|
distance = |(-101) / √(225 + 900 + 49)|
distance = |(-101) / √1274|
distance = |(-101) / 35.6|
distance = 2.85
So, the distance between the point P and the plane is approximately 2.85.
Suki wants to pour 25 milliliters
of water, 35 milliliters of oil,
and 45 milliliters of syrup into
the same beaker for a science
experiment. The beaker holds up to 100 milliliters. Will the beaker hold all three liquids? Explain why or why not.
Answers
Therefore, the beaker will not be able to hold all three liquids, and Suki will need to adjust the amount of one or more of the liquids in order for them to fit into the beaker.
X=a+b+4, a is directly Propotional to y² and b is inversely propotional to y, when Y= 2₁ X=18 and y=1, X=-3, Find X when y=4
Answers
Answer:
x = 81
Step-by-step explanation:
If a is directly proportional to y²:
[tex]\boxed{a \propto y^2 \implies a=ky^2}[/tex]
If b is inversely proportional to y:
[tex]\boxed{b \propto \dfrac{1}{y} \implies b=\dfrac{m}{y}}[/tex]
Given equation:
[tex]x=a+b+4[/tex]
Substitute the derived expressions for a and b into the given equation:
[tex]\implies x=ky^2+\dfrac{m}{y}+4[/tex]
Substitute the given values of x and y into the equation to create two equations in terms of k and m.
Given that x = -3 when y = 1:
[tex]\implies -3=k+m+4[/tex]
Given that x = 18 when y = 2:
[tex]\implies 18=4k+\dfrac{m}{2}+4[/tex]
Rewrite the first equation to isolate k:
[tex]\implies k=-m-7[/tex]
Substitute the expression for k into the second equation and solve for m:
[tex]\implies 18=4(-m-7)+\dfrac{m}{2}+4[/tex]
[tex]\implies 18=-4m-28+\dfrac{m}{2}+4[/tex]
[tex]\implies -4m+\dfrac{m}{2}=42[/tex]
[tex]\implies -8m+m=84[/tex]
[tex]\implies -7m=84[/tex]
[tex]\implies m=-12[/tex]
Substitute the found value of m into the expression for k and solve for k:
[tex]\implies k=-(-12)-7[/tex]
[tex]\implies k=5[/tex]
Substitute the found values of k and m into the equation to create an equation for x in terms of y:
[tex]\boxed{x=5y^2-\dfrac{12}{y}+4}[/tex]
Finally, to find the value of x when y = 4, substitute y = 4 into the equation and solve for x:
[tex]\implies x=5(4)^2-\dfrac{12}{4}+4[/tex]
[tex]\implies x=5(16)-3+4[/tex]
[tex]\implies x=80-3+4[/tex]
[tex]\implies x=81[/tex]
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The algebraic equation for the statement is 21 = 2 x - 5
How to write the algebraic equations ?Algebraic equations can be written using mathematical symbols and operations to represent relationships between variables or quantities. Variables are the quantities that the equation is trying to represent or solve for.
There is only one variable here and we can call it x.
The number is doubled so the representation would be :
= 2 x
This is then decreased by 5 and becomes :
= 2 x - 5
This is equated to 21 to become:
21 = 2 x - 5
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Select the correct answer.
Which expression is equivalent to sin (2x) cos x?
Answers
The equivalent trigonometric expression to sin(2x)cos(x) is given as follows:
sin(2x)cos(x) = 2sin(x)cos²(x).
How to obtain the equivalent trigonometric expression?The expression for this problem is defined as follows:
sin(2x)cos(x).
The trigonometric identity used to simplify sin(2x) is given as follows:
sin(2x) = 2sin(x)cos(x).
Hence the expression can be written as follows:
sin(2x)cos(x) = 2sin(x)cos(x)cos(x)
sin(2x)cos(x) = 2sin(x)cos²(x).
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A roller-coaster car is at the top of a hill. The car and its passengers have a combined mass of 1,088 kilograms. If the hill is 62 meters tall, how much potential energy does the car have?
PE=mgh
67,456 J
330,534.4 J
1,159.8 J
661,068.8 J
Answers
Answer:
661,068.8j
Step-by-step explanation:
The car has 661068.8 J of potential energy at a height of 62 m having a mass of 1088 grams.
What is potential energy?Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.
We know, The gravitational constant is 9.8 m/s².
From the given information, m = 1088 grams, h = 62 meters.
Therefore, The amount of potential energy the car has is,
PE = mgh.
PE = 1088×9.8×62 J.
PE = 661068.8 J.
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write an equation for the function graphed.
Answers
The equation for the graphed quadratic function is:
y = -1*(x - 3)^2 + 2
How to write an equation for the function graphed?Here we have the graph of a quadratic equation. Remember that if the leading coefficient is a and the vertex is (h, k) then we can write:
y = a*(x - h)^2 + k
Here the vertex is at (3, 2) then we can write:
y = a*(x - 3)^2 + 2
We can see that it also passes through the point (1, -2), replacing these values we will get:
-2 = a*(1 - 3)^2 + 2
-2 = a*4 + 2
-2 - 2 = a*4
-4/4 = a = -1
Then the quadratic equation is:
y = -1*(x - 3)^2 + 2
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How to find the vertex of the function y = 2x^2 + 4
Answers
The vertex of the given function is (0,4)
What is a quadratic equation?
A quadratic equation is a second-order polynomial equation with a single variable such as x, where ax²+bx+c=0. with a ≠ 0 . Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.
identify the coefficients a and b of the quadratic function
y =ax² +bx+c-------(1)
a=2, b=0
x-coordinate of the vertex is x= -b/2a = -(0)/(2(2)) = 0
Substitute x=0 into given equation to get y-coordinate of the vertex
y= 2(0)² + 4 = 0+4 = 4
Vertex= (x,y) = (0,4)
The vertex of the given function is (0,4)
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Find the nth term #2
Answers
The formula to calculate the nth term of the sequence is an = -3n+18.
What is an arithmetic progression?The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.
Given that the arithmetic series is 15,12,9,6.....
The nth term of the arithmetic sequence will be calculated as:-
an = a₁ + (n-1)d
The first term is 15 and the common difference for the series is 12-15 = -3.
The nth term will be calculated as:-
an = a₁ + (n-1)d
an = 15 + (n-1)-3
an = 15 -3n +3
an = -3n + 18
Therefore, an = -3n+18 is the formula to find the nth term in the sequence.
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A circular walkway is to be built around a monument, with the monument as the center. The distance from the monument to any point on the inner boundary of the walkway is 30 feet.
Answers
The equation of the inner boundary of the circular walkway around the monument is x² + y² = 900.
The equation of the outer boundary of the circular walkway around the monument is x² + y² = 1369.
What is the equation of a circle?A circle is a conic section whenever the plane cuts the cone parallel to its base. Every point of the circumference lies at the same distance from its center. The equation of a circle is (x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius.
a.
According to the diagram, the radius of the inner boundary is 30 feet and the center is (0, 0).
Substitute h = 0, k = 0, and r = 30 into the equation of circle (x-h)² + (y-k)² = r².
(x-0)² + (y-0)² = 30²
x² + y² = 900
Therefore, the obtained answer is x² + y² = 900.
b.
According to the diagram, the radius of the outer boundary is 37 feet (30 feet + 7 feet) and the center is (0, 0).
Substitute h = 0, k = 0, and r = 37 into the equation of circle (x-h)² + (y-k)² = r².
(x-0)² + (y-0)² = 37²
x² + y² = 1369
Therefore, the obtained answer is x² + y² = 1369.
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The complete question is mentioned in the image below.
Please work these out, If possible can someone just work out 1 providing solutions. Thanks
Answers
Answer:
See below for solution steps for parts (a) and (c)
Step-by-step explanation:
The trick here is to get all the roots to have the same radical. Each of the lowest radical is the square root pf a prime so cannot be reduced further
For example, in a, the lowest is [tex]\sqrt{3}[/tex]
So get all the others to this level a[tex]\sqrt{3}[/tex] and then you can just add up the non-radicals and use the radical as the common expression
I will solve a couple and that will give you a general idea of solving the rest
Let's do a.
[tex]5\sqrt{3} , \sqrt{3}[/tex] are already at the lowest radical level of [tex]\sqrt{3}[/tex] so let's reduce 108 to have [tex]\sqrt{108}[/tex] to have [tex]\sqrt{3}[/tex] as one of its components
We can factor 108 as follows;
108/3 = 36
So 108 = 36 x 3
√108 = √36 × √3 = 6√3
Therefore the original expression becomes
[tex]5\sqrt{3} - 6\sqrt{3} + \sqrt{3} = (5 - 6 + 1)\sqrt{3} = 0 \sqrt{3} = 0[/tex]
[tex]-------------------------------[/tex]
c.
[tex]2\sqrt{20} - 7\sqrt{5} + \sqrt{45}[/tex]
Lowest radical is [tex]\sqrt{5}[/tex] whose coefficient is 7
Factor 20 = 4 x 5
[tex]2\sqrt{20} = 2\sqrt{4 \times 5} = 2\sqrt{4} \times \sqrt{5} = 2\times 2 \times \sqrt{5}\\= \bold{4\sqrt{5}}[/tex]
Factor 45:
45 = 9 x 5
[tex]\sqrt{45} = \sqrt{9} \times \sqrt{5} = \bold{3\sqrt{5}}[/tex]
Original expression becomes:
[tex]4\sqrt{5} - 7\sqrt{5} + 3\sqrt{5}\\\\=(4 - 7 + 3)\sqrt{5}\\\\= 0 \sqrt{5}\\\\= 0\\----------------------------[/tex]
I am sure you can do the rest. If not post them as another question. Maybe someone else will answer a few of the ones I did not.
All the best
Find the value of x that will make L||m
Answers
The value of x that will make L||m is 9.
How to find the value of x that will make L||m?
Geometry is a branch of mathematics that deals with shapes, angles, dimensions and sizes of different things we see in everyday life
The angle (4x²- 324)° is equal to 90°. That is:
(4x²- 324)° = 90°
4x²- 324 = 90
4x² = 90 + 324
4x² = 324
x² = 324/4
x² = 81
x = √81
x = 9
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Steve invests $2,100 in an account that earns 6.9% interest, compounded continuously. What is the value of the account after 13 years? Round your answer to the nearest hundredth.
Answers
The amount after 13 years with a compound interest of 6.9 % is given by the equation A = $ 5,149.69
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the amount after compound interest be represented as A
Now , the equation will be
The principal amount P = $ 2,100
The rate of interest r = 6.9 %
The number of years b = 13 years
when compounded continuously ,
The compound interest amount A = Pe^rt
Substituting the values in the equation , we get
A = 2,100.00 ( 2.71828 ) ^ ( 0.069 ) ( 13 )
A = 2,100 ( 2.71828 )^( 0.897 )
On further simplification , we get
A = $ 5,149.69
Hence , the amount after 13 years is $ 5,149.69
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2) Find the sum of the first 15 terms of the sequence *
(2/7) + (4/7) + (8/7) + ...
Answers
Answer:32768/7
Step-by-step explanation:
double every term
______ 6x 8/5
ITS FOR KHAN ACADAMEY HELP
Answers
6x8 is 48. You can't simplify 48/5, so that's your answer. If you wanted to create a mixed number, you could write 9 3/5
The sum of two numbers is 17 and their product is 60 what are the two numbers?
Answers
Answer:
12 and 5
Step-by-step explanation:
12+5=17
12x5=60
Answer:
Step-by-step explanation:
5 12 step by step
Help me with this Quadratic Functions graph it
Answers
Find the value of the variables. If the answer is not an integer, express it in simplest radical form.
60
20
Please help
Answers
The values of x and y would be [tex]x=\frac{20 \sqrt{3}}{3}[/tex] and [tex]y=\frac{40\sqrt{3}}{3}[/tex].
What are trigonometric ratios?
Trigonometric ratios are mathematical functions that describe the relationship between the angles and sides of a right triangle. The three main trigonometric ratios are the sine, cosine, and tangent.
In the given figure, by using trigonometric ratios, we can find x
tan60° = 20/x
√3 = 20/x
x = 20/√3
=> [tex]x=\frac{20 \sqrt{3}}{3}[/tex]
Now by using the ratio sin60°
sin60° = 20/y
√3/2 = 20/y
y = 40/√3
[tex]y=\frac{40\sqrt{3}}{3}[/tex]
Hence, the values of x and y would be [tex]x=\frac{20 \sqrt{3}}{3}[/tex] and [tex]y=\frac{40\sqrt{3}}{3}[/tex].
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One loaf of bread weighs 0.68 kilogram. Six muffins weigh 1.12 kilograms. How much more do two loaves of bread weigh than the muffins? 0.08 0.12 0.24 1.30
Answers
Answer:
C) 0.24 kg
----------------------------
Find the weight of two loaves of bread:
0.68*2 = 1.36 kgFind the difference of weights of 2 loaves of bread and 6 muffins:
1.36 - 1.12 = 0.24 kgThe matching choice is C.
The difference of weights of 2 loaves of bread and 6 muffins:
= 0.24 kg
We have to given that,
One loaf of bread weighs 0.68 kilogram.
And, Six muffins weigh 1.12 kilograms.
Now, We can Find the weight of two loaves of bread:
Here, One loaf of bread weighs 0.68 kilogram.
Hence, the weight of two loaves of bread:
0.68 x 2 = 1.36 kg
Hence, the difference of weights of 2 loaves of bread and 6 muffins:
= 1.36 kg - 1.12 kg
= 0.24 kg
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The Nutty Professor sells cashews for $7.70 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 30 pound mixture that sells for $6.08 per pound?
Round answers to the nearest pound.
Answers
The mixture should contain 12 pounds of cashews and 18 pounds of Brazil nuts.
What is Mixture?A physical combination of two or more unrelated substances is referred to as a mixture. For instance, water and salt are two different substances that, when combined, form a combination.
According to question:Let's call the amount of cashews used in pounds "x". The amount of Brazil nuts used in pounds can be calculated as 30 - x.
We know that the total cost of the mixture is $6.08 per pound * 30 pounds = $182.40.
The cost of the cashews in the mixture is $7.70 per pound * x pounds =$7.70x.
The cost of the Brazil nuts in the mixture is $5.00 per pound * (30 - x) pounds = $150 - $5.00x.
The total cost of the cashews and Brazil nuts in the mixture must equal $182.40, so we can set up the equation:
$7.70x + ($150 - $5.00x) = $182.40
Expanding and simplifying the equation:
$2.70x = $32.40
Dividing both sides by 2.70:
$x = 12
So, the mixture should contain 12 pounds of cashews and 18 pounds of Brazil nuts.
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An initial investment amount P, an annual interest rate r, and a time t are given. Find the future value of the investment
when interest is compounded (a) annually, (b) monthly, (c) daily, and (d) continuously. Then find (e) the doubling time T
for the given interest rate.
P= $1500, r = 3.95%, t = 5 yr
a) The future value of the investment when interest is compounded annually is $
(Type an integer or a decimal. Round to the nearest cent as needed.)
ANSWER ALL PARTS
A, B, C, D, E
Answers
The future value of the investment when interest is compounded continuously is; $3408.29
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Given Data
P= $1500, r = 3.95%, t = 5 yr
To Calculate the number of periods: in this case we have 5*12= 60 months.
- The monthly interest rate, we have to divide the annual nominal rate by 12 (the number of periods in the year).
Then, we can calculate the future value as:
A = P (1 + r/n)^nt
A = 1500(1 + 3.95/365)(365)^(5)
P = 1500/ (1 + 0.00010137)^(5)
P = $3408.29
The future value when compounded monthly is $3408.29.
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What is 4x5+6n-3? It’s for my math homework due tomorrow
Answers
Answer:
=17 + 6n.
Step-by-step explanation:
[tex]4 \times 5 + 6n - 3 \\ = 20 + 6n - 3 \\ = 20 - 3 + 6n \\ = 17 + 6n[/tex]
Select all the expressions that have a value of 13.5 when s = 1.5
Answers
Answer:
Given that s = 1.5, the expressions that have a value of 13.5 are:
(1) 5s + 8 = 5 × 1.5 + 8 = 13.5
(2) 2s^2 + 9 = 2 × 1.5^2 + 9 = 13.5
Note: The value of any other expression will depend on the specific formula and the value of other variables used in the expression.
I will give brainliest and ratings if you get this correct
Answers
The short-run total cost is TC is wL + rK and short-run average cost curve is TC/Q. The SMC is 4.01 and the SMC curve intersects the SAC curve at its lowest or minimum points because the average cost is a weighted average of the marginal cost and the fixed cost.
What is the firm short-run total cost curve and short-run average cost curve functionA. To calculate the firm’s short-run total cost curve, we need to calculate the total cost at each level of output. The short-run total cost can be represented as follows:
TC = wL + rK,
where w is the wage rate, L is the labor used, r is the interest rate, and K is the capital used. In this case, w = $4 and r = $1.
To calculate the short-run average cost curve, we need to divide the total cost by the level of output:
SAC = TC / Q
Where Q is the level of output.
B. The short-run marginal cost function can be calculated as the change in total cost for a small change in the level of output:
SMC = dTC / dQ
At a level of output of 25, the labor used is L = 25 / 2 = 12.5. The total cost can be calculated as follows:
TC = 4 * 12.5 + 1 * 100 = 50 + 100 = 150
So, the short-run average cost is SAC = 150 / 25 = $6 and the short-run marginal cost is SMC = dTC / dQ. To calculate the derivative, we need to use the production function given:
Q = 2 * sqrt(KL)
Taking the derivative with respect to L, we get:
dQ / dL = (1 / (2 * sqrt(KL))) * 2K = K / (sqrt(KL))
Substituting the values, we get:
SMC = 4 + (1 / (sqrt(100 * 12.5)))
At a level of output of 200, the labor used is L = 200 / 2 = 100. The total cost can be calculated as follows:
TC = 4 * 100 + 1 * 100 = 400
So, the short-run average cost is SAC = 400 / 200 = $2 and the short-run marginal cost is SMC = dTC / dQ. To calculate the derivative, we need to use the production function given:
Q = 2 * sqrt(KL)
Taking the derivative with respect to L, we get:
dQ / dL = (1 / (2 * sqrt(KL))) * 2K = K / (sqrt(KL))
Substituting the values, we get:
SMC = 4 + (1 / (sqrt(100 * 100)))
SMC = 4.01
C. To draw the graph for the SAC and SMC, we need to calculate the SAC and SMC for different levels of output. We can then plot the SAC and SMC against the level of output to obtain the graphs.
D. The SMC curve intersects the SAC curve at its lowest or minimum points because the average cost is a weighted average of the marginal cost and the fixed cost. When the level of output is low, the marginal cost is high and the fixed cost is a large portion of the total cost. As the level of output increases, the marginal cost decreases and the fixed cost becomes a smaller portion of the total cost. As a result, the average cost decreases and reaches a minimum at the point where the marginal cost intersects the average cost.
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How much money should you invest now to have $5000 in 12 years if you invest at a rate of 9.6% compounded semiannually?
Answers
Which of the following points lie in the solution to the following system of inequalities y less than or equal to x -5 and y greater than or equal to -x-4
(-5,2)
(5,-2)
(-5,-2)
(5,2)
Answers
The point that lies in the solution to the system of inequalities is (5,-2). The correct answer would be an option (B).
What is inequality?An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The system of inequalities is given in the question, as follows:
y ≤ x -5 and y ≥ -x-4
Since the required point is to satisfy the system of inequalities.
Then the graph attached below represents a solution to the system of inequalities.
Point A (-5,2) does not lie in the solution to the system of inequalities.
Point B (5,-2) lies in the solution to the system of inequalities.
Point C (-5,-2) does not lie in the solution to the system of inequalities.
Point D (5,2) does not lie in the solution to the system of inequalities.
Therefore, the point that lies in the solution to the system of inequalities is (5,-2).
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You estimate that there are 76 marbles in a jar. The actual amount is 59 marbles. Find the percent error. Round to the nearest tenth of a percent if necessary.
Answers
Answer: To find the percent error, we can use the formula:
percent error = (estimated value - actual value) / actual value * 100
Plugging in the values:
percent error = (76 - 59) / 59 * 100 = 29.49%
Rounding to the nearest tenth of a percent:
percent error = 29.5%
So the percent error is 29.5%.
Step-by-step explanation:
what formula is used to determine the percentage change in quantity demanded
Answers
Answer:
slope
Step-by-step explanation:
Step-by-step explanation:
always find the quantity of 100%.
then
1% = 100%/100
then calculate the absolute quantity change.
then divide the quantity change by 1% to see how many % fit into it.
and that is your answer.
so, if the original quantity is q1, the new quantity is q2, then the % of quantity change is
|q1 - q2| / (q1/100)
or
100 × |q1 - q2| / q1
where || means the absolute value.
