Answer:
904.32 cm^3
Step-by-step explanation:
V = (1/3)(pi)r^2h + (1/2)(4/3)(pi)r^3
V = (1/3)(3.14)(6 cm)^2(12 cm) + (1/2)(4/3)(3.14)(6 cm)^3
V = 904.32 cm^3
The volume of the figure would be the combination of the volume of the cone and the hemisphere that is 904.32 cm^3.
How to find volume of a right circular cone?Suppose that the radius of the considered right circular cone be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
\(V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3\)
Right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.
The composite figure is made up of a cone and a half-sphere.
The radius of the half-sphere is 6 cm.
The volume of the figure would be the combination of the volume of the cone and the hemisphere.
The volume of the figure is
\(V = (1/3)(\pi)r^2h + (1/2)(4/3)(\pi)r^3\\V = (1/3)(3.14)(6 cm)^2(12 cm) + (1/2)(4/3)(3.14)(6 cm)^3\\V = 904.32 cm^3\)
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Which graph shows a system of equations with the solution (5,-3)?
PLEASE ANSWER I WILL GIVE BRAINLIEST
Answer:
20
Step-by-step explanation:
Replace the variables with their corresponding numbers.
y-x/z 64-4/3 60/3 20
a number n is rounded to 2 decimal place
the result is 3.87
using inequalities write down the error interval for n
Answer:
3.90
hope its help
Step-by-step explanation:
y=3.87
n=d/3.90
Excute. by down interval 34.0
Emma's dad is a police officer. One
afternoon, he stopped 19 people for
speeding, which was 12 more than the
previous day and 7 more than the day
before that. How many people did
Emma's dad stop for speeding during
that three-day period?
Answer:
Let's say he stopped 19 people on Wednesday.
Wed - 19 people stopped
Tues - 19-12 is 7, so he saved 7 people that day
Mon - 19-7 is 12. so 12 people stopped on monday
so in all (including Wednesday) he stopped 38 people
Step-by-step explanation:
I'm sorry if it's wrong
HELP ASAP
easy stuff
The relation between the linear and recursive functions are given as follows:
f(n) = -n < - > {-1,-2,-3,-4...}, where f(1) = 1 and f(n + 1) = f(n - 1) - 1 for n > 1.f(n) = 2n - 3 < - > {-1,1,3,5...}, where f(1) = -1 and f(n + 1) = f(n - 1) + 2 for n > 1.f(n) = -n + 5 < - > {4,3,2,1...}, where f(1) = 4 and f(n + 1) = f(n - 1) - 1 for n > 1.f(n) = 2n + 2 < - > {4,6,8,10...}, where f(1) = 4 and f(n + 1) = f(n - 1) + 2 for n > 1.What is a linear function and how does it relate to a recursive function?A linear function is modeled according to the following rule:
f(x) = mx + b
In which:
m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis, that is, when x = 0.Considering the concepts of a linear function, the recursive function is given as follows:
f(n) = f(n - 1) + m for n > 1. f(1) for n = 1. (numeric value of the linear function when x = 1).The linear function with first term -1 and slope -1 is given by:
f(n) = -n.
Hence:
f(n) = -n < - > {-1,-2,-3,-4...}, where f(1) = 1 and f(n + 1) = f(n - 1) - 1 for n > 1.
The linear function with first term -1 and slope 2 is given by:
f(n) = 2n - 3
Hence:
f(n) = 2n - 3 < - > {-1,1,3,5...}, where f(1) = -1 and f(n + 1) = f(n - 1) + 2 for n > 1.
The linear function with first term 4 and slope -1 is given by:
f(n) = -n + 5
Hence:
f(n) = -n + 5 < - > {4,3,2,1...}, where f(1) = 4 and f(n + 1) = f(n - 1) - 1 for n > 1.
The linear function with first term 4 and slope 2 is given by:
f(n) = 2n + 2
Hence:
f(n) = 2n + 2 < - > {4,6,8,10...}, where f(1) = 4 and f(n + 1) = f(n - 1) + 2 for n > 1.
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If A = 5 and B = 3, what will be displayed when code corresponding to the following pseudocode is run? (In the answer options, new lines are separated by commas.)
Do
Write A^2
Set A = A - 1
While A >= B
The output when the given pseudocode is executed with A = 5 and B = 3 will be "25, 16, 9, 4, 1".
The given pseudocode includes a loop that iterates as long as A is greater than or equal to B. In each iteration, the square of A is displayed, and A is decremented by 1. We are asked to determine the output when A is initially 5 and B is 3.
Step 1: Initialization
A is set to 5 and B is set to 3.
Step 2: Iteration 1
Since A (5) is greater than or equal to B (3), the loop executes.
The square of A (5²) is displayed, resulting in the output "25".
A is decremented by 1, so A becomes 4.
Step 3: Iteration 2
A (4) is still greater than or equal to B (3).
The square of A (4²) is displayed, resulting in the output "16".
A is decremented by 1, so A becomes 3.
Step 4: Iteration 3
A (3) is still greater than or equal to B (3).
The square of A (3²) is displayed, resulting in the output "9".
A is decremented by 1, so A becomes 2.
Step 5: Iteration 4
A (2) is still greater than or equal to B (3).
The square of A (2²) is displayed, resulting in the output "4".
A is decremented by 1, so A becomes 1.
Step 6: Iteration 5
A (1) is still greater than or equal to B (3).
The square of A (1²) is displayed, resulting in the output "1".
A is decremented by 1, so A becomes 0.
Step 7: Loop termination
Since A (0) is no longer greater than or equal to B (3), the loop terminates.
Therefore, The output generated by the code execution will be "25, 16, 9, 4, 1" as the squares of A (starting from 5 and decreasing by 1) are displayed in each iteration of the loop.
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A tank is fuil of oil weighing 30lb/ft The tank is a right rectangular prism with a width of 2 feet, a depth of 2 foet, and a height of 3 feet. Find the work required to pump the water to a height of 1 feet above the fop of the tank Work = ft⋅lb
The work required to pump the water to a height of 1 foot above the top of the tank is 54 ft⋅lb.
To find the work required to pump the water, we need to calculate the change in potential energy. The potential energy is given by the product of the weight of the water and the change in height.
The weight of the water is equal to the weight of the oil, which is 30 lb/ft. The volume of the tank is determined by its dimensions: width = 2 ft, depth = 2 ft, and height = 3 ft. Therefore, the volume of the tank is 2 ft * 2 ft * 3 ft = 12 ft³.
Since the weight of the water is 30 lb/ft, the total weight of the water in the tank is 30 lb/ft * 12 ft³ = 360 lb.
To find the work required to pump the water to a height of 1 foot above the top of the tank, we calculate the change in potential energy: ΔPE = weight * Δheight. The change in height is 1 foot, and the weight is 360 lb.
Therefore, the work required is W = 360 lb * 1 ft = 360 ft⋅lb.
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I need help with this please
The graph of R(x) have horizontal asymptote, y = 1, and vertical asymptote, x=4.
What is am asymptote?It is a line or curve that acts as the limit of another line or curve.
The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator.
If N is the degree of the numerator and D is the degree of the denominator, if
N < D, then the horizontal asymptote is y = 0.
N = D, then the horizontal asymptote is y = ratio of leading coefficients.
N > D, then there is no horizontal asymptote.
Here, N = 2 and D= 2. i.e. N = D
The ratio of leading coefficients are 1.
Therefore, the horizontal asymptote is y is 1.
To find the vertical asymptotes, set the denominator equal to zero and solve for x.
i.e. x² - 8x+16 = 0
(x-4)(x-4)=0
x=4
Hence, the vertical asymptote x is 4 and horizontal asymptote y is 1.
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Which expression is equal to (x + 3)^2
1 5/2 as a whole number
Answer:
3 1/2
Step-by-step explanation:
an x-y scatter plot was created and regression was completed below. what is the best estimate for the p-value significance of regression (from the f-test)?
The best estimate for the p value significance of regression is 0.590714
The term p value is defined as hypothesis testing to represent the chance that, assuming the null hypothesis is true, you could observe the result in your study or one even more extreme
Here we have given that an x-y scatter plot was created and regression was completed and we need to calculate the best estimate for the p value significance of regression.
While we reading the given question, we have identified that an x-y scatter plot was created and regression was completed.
So, let us consider the regression equation y = -0.1362x +5.0215
While through the given equation, we have identified that the value of the following are
=> R² = 0.0128
then the value of R is 0.113.
And the significance level is 0.05.
Then the best estimate for the p value is calculated as,
Therefore, the P-Value is .590714. The result is not significant at p < .05.
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which one is NOT a function ?
Answer:
sorry di ko Alam ehhh Hindi ko pa Kasi na aral yan
which of the following is true regarding cross-sectional data sets? check all that apply. these data require attention to the frequency at which they are collected (weekly, monthly, yearly, etc.). it can be assumed that the data were obtained through a random sampling of the underlying population. the data are collected multiple times over several different time periods. most observations are not independent across time.
Regarding cross-sectional data sets, the following statements are true:
1. These data require attention to the frequency at which they are collected (weekly, monthly, yearly, etc.): This statement is true. Cross-sectional data sets are collected at a specific point in time or over a specific period, and the frequency of data collection is important for understanding the temporal context.
2. It can be assumed that the data were obtained through a random sampling of the underlying population: This statement is not necessarily true. While random sampling is desirable in statistical analysis, it cannot be assumed for cross-sectional data sets. The sampling method depends on the specific study design and data collection process.
3. The data are collected multiple times over several different time periods: This statement is not true. Cross-sectional data sets are collected at a single point in time or over a specific period, but they do not involve multiple data collection instances over different time periods.
4. Most observations are not independent across time: This statement is not true. Cross-sectional data sets focus on a specific time point or period, and therefore, the observations within the data set are typically independent and do not involve tracking changes over time.
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Sabia and arlan bougth 45 book for r 30 each old all ok them at the rote of 24 find the different the money pent and return
If Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, how many books they can buy,
Rs 30 = 45 book
Rs 30 = 45
Rs 1 = 45 / 30
Rs 24 = 3/2 × 24
Rs 24 = 34 books
Thus, if Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.
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The bearing of A from B is 129 and the bearing of C from B is 219. If B is equidistant from A and C, find the bearing of C from A
The bearing of C from A is 90 degrees when B is equidistant from A and C.
What is bearing?In navigation and geometry, bearing refers to the direction or angle between two points, measured clockwise from a fixed reference direction. Typically, bearings are measured in degrees, with 0 degrees indicating a direction due north, 90 degrees indicating a direction due east, 180 degrees indicating a direction due south, and 270 degrees indicating a direction due west. Bearings can be expressed as either magnetic bearings or true bearings, depending on the reference direction used.
According to the given informationLet's assume that the distance from B to A and from B to C is the same.
To find the bearing of C from A, we can use the fact that the interior angles of a triangle sum up to 180 degrees. Therefore, we can first find the bearing of A from C:
180 - 129 = 51
This means that the bearing of C from A is 51 degrees in the opposite direction of the bearing of A from C. Since the bearing of A from C is 219, the bearing of C from A is:
219 - 180 + 51 = 90 degrees
Therefore, the bearing of C from A is 90 degrees.
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What is the slope of the line that passes through the points (-3, 3)(−3,3) and (-21, 18) ?(−21,18)? Write your answer in simplest form.
Answer:
-5/6
Step-by-step explanation:
to find the slope between to lines we can subtract the second y by the first y and subtract the second x by the first x and dividing them by each other
(18 - 3) / (-21 + 3)
minusing a negative is basically adding
after subtracting them you get this
15 / -18
then reduce
-5/6
the slope is -5/6
The left and right page numbers of an open book are two consecutive integers whose sum is 347. Find these page numbers.
The smaller page number is
The larger page number is
Let the first page = x
The second page would be x + 1
Add them together to equal 347
X + x + 1 = 347
Combine like terms:
2x + 1 = 347
Subtract 1 from both sides
2x = 346
Divide both sides by 2:
X = 173
The smaller page number is 173
The larger page number is 174
help, please
Given the triangle shown on the grid below, which graph shows the triangle reflected over the x-axis?
Step-by-step explanation:
Answer attached.
Hope it helps :)
The function f(x) = –x2 – 4x + 5 is shown on the graph.
On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0).
Which statement about the function is true?
The domain of the function is all real numbers less than or equal to −2.
The domain of the function is all real numbers less than or equal to 9.
The range of the function is all real numbers less than or equal to −2.
The range of the function is all real numbers less than or equal to 9.
does anyone know the answer??
Answer: The range of the function is all real numbers less than or equal to 9.
Step-by-step explanation:
Recall that a parabola represents a quadratic function, which is a polynomial function of degree 2. Then, recall that the domain of any polynomial function must comprise of all real numbers. Hence, the domain of the quadratic function represented by the parabola is all real numbers. So, the first and second statements are false.
Since the parabola opens down, then its vertex (-2,9) is a maximum point. This indicates that the y-coordinate of the uppermost point on the parabola is y=9.
So, the y-coordinates of all points on the parabola must be at most 9, or equivalently are less than or equal to 9. Therefore, the range of the function (i.e. set of y-coordinates of all points on the parabola) is all real numbers less than or equal to 9. This indicates that the third statement is false, while the last statement is true.
Suppose $726.56 is deposited at the end of every six months into an account earning 6.45% compounded semi-annually. If the balance in the account four years after the last deposit is to be $31 300.00, how many deposits are needed? (This question asks for 'n')
We need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit which is compounded semi-annually.
To solve this problem, we can use the formula for the future value of an annuity:
\(FV = P * ((1 + r)^n - 1) / r\)
Where:
FV is the future value of the annuity
P is the periodic payment or deposit amount
r is the interest rate per period
n is the number of periods
In this case, the deposit amount is $726.56, the interest rate is 6.45% compounded semi-annually, and the future value is $31,300. We need to find the number of deposits (n).
We can rearrange the formula and solve for n:
n = log((FV * r) / (P * r + FV)) / log(1 + r)
Substituting the given values:
n = log((31,300 * 0.03225) / (726.56 * 0.03225 + 31,300)) / log(1 + 0.03225)
Using a calculator or software, we find that n ≈ 9.989.
Therefore, we need approximately 10 deposits to reach a balance of $31,300 four years after the last deposit.
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How much money would produce $70 as simple interest at 3.5% per
annum?
Answer:
$2000
Step-by-step explanation:
Simple Interest = $70
Rate = 3.5%
Time = 1
Principal = ?
Simple Interest = (Principal × Rate × Time)/100
Principal = (Simple Interest × 100)/(Rate × Time)
Principal = (70 × 100)/(3.5 × 1)
Principal = 7000/3.5
Principal = 14000/7
Principal = 2000
Assume a 30-day month to calculate your average daily balance for your credit card bill. Your daily balance for the first 10 days was $500, for the next 10 days was $1,000, and for the last 10 days was $1,500. What will your average daily balance be at the end of the month? A) $ 800.00 B) $ 900.00 C) $1,000.00 D) $1,500.00 2) Assume a 31-day month to calculate your average daily balance for your credit card bill. Your daily balance for the first 10 days was $1,900, for the next 20 days was $2,500, and for the last 1 day was $2,800. What will your average daily balance be at the end of the month? A) $1,800.00 B) $1,927.50 C) $2,050.00 D) $2,316.12 3) Assuming the APR on your credit card is 18% and your average daily balance this month was $5,000, what will your interest or finance charges for the month (30 days) be? A) $50.60 B) $60.70 C) $70.50 D) $73.50
The average daily balance at the end of the month will be $1,000.00 (option C).
To calculate the average daily balance, we need to determine the total balance over the 30-day period and divide it by the number of days (30) to get the average.
The daily balance for the first 10 days is $500, for the next 10 days is $1,000, and for the last 10 days is $1,500.
To find the total balance, we can multiply each daily balance by the number of days it was held:
Total balance = (10 days * $500) + (10 days * $1,000) + (10 days * $1,500)
Total balance = $5,000 + $10,000 + $15,000
Total balance = $30,000
Now we divide the total balance by the number of days (30) to find the average daily balance:
Average daily balance = Total balance / Number of days
Average daily balance = $30,000 / 30
Average daily balance = $1,000
Therefore, the average daily balance at the end of the month will be $1,000.00 (option C).
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porfa ayuda plissss
(SINO SABES NO CONTESTES)
DOY PUNTOS
Answer:
B
Step-by-step explanation:
Si cuentas desde el once hasta el espacio entre A y B llegas hasta 5. Entonces el número que está en ese espacio es 11.05
Answer:
ES LA B AMIGA
Step-by-step explanation:
Pls show your work thank you will mark the Brainliest
Answer:
The area of the storage facility is \(20x^2-4x-16\) \(square\) \(feet\).
Step-by-step explanation:
From the attached diagram, it is clear that
The length of the rectangle \(=5x+4\) The width of the rectangle \(=4x-4\)The area of the storage facility in square feet can be calculated by finding the area of rectangle.
So, using the area of rectangle formula
\(A=lw\)
\(=(5x+4)\) \((4x-4)\)
\(Apply\) \(FOIL\) \(method:\) \((a+b)(c+d)=ac+ad+bc+bd\)
\(a=5x,b=4,c=4x,d=-4\)
\(=5x*4x+5x(-4)+4*4x+4(-4)\)
\(=5*4xx-5*4x+4*4x-4*4\)
\(=20x^2-4x-16\)
Therefore, the area of the storage facility is \(20x^2-4x-16\) \(square\) \(feet\).
Keywords: rectangle, area
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what is 28.5 inches in height?
3/5 divided by 2 1/2
Step-by-step explanation: To divide mixed numbers, first rewrite the mixed numbers as improper fractions.
So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.
Remember that dividing by a fractions means the same thing
as multiplying by the reciprocal of that fraction.
In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.
Finally, multiplying across the numerators and the
denominators, we have 6/25.
The result of the division of 3/5 divided by 2 1/2 is: 6/25.
Here, we have,
given that,
3/5 divided by 2 1/2
To divide mixed numbers, first rewrite the mixed numbers as improper fractions.
So here, 3/5 is already a fraction and 2 and 1/2 can be written as 5/2.
Remember that dividing by a fractions means the same thing
as multiplying by the reciprocal of that fraction.
In other words, 3/5 ÷ 5/2 can be rewritten as 3/5 · 2/5.
Finally, multiplying across the numerators and the
denominators,
we have 6/25.
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Two firms producing identical products engage in price competition. Cost of firm 1 is $20 per unit produced and cost of firm 2 is $15 per unit produced. There are no fixed costs. Firms produce only after they learn the quantity demanded. Each firm can choose any real number in the interval [15,25] as its price.
For tie-breaking we will assume that if both firms set the same price, all consumers purchase from firm 2.
The payoff/profit function of firm 1 is:
(p1 - 20)(100 - p1) if p1 is less than or equal to p2,
0 if p1 is greater than p2
The payoff/profit function of firm 2 is:
(p2 - 15)(100 - p2) if p2 is less than p1,
0 if p2 is greater than or equal to p1
Given all of this information, solve the following parts of the problem:
a) is p1 = 20, p2 = 19.50 a Nash Equilibrium?
b) is there a Nash Equilibrium in which Firm 2 makes a positive profit?
c) How many strategies does player 1 have?
d) is p1 = 15, p2 = 15 a Nash Equilibrium?
e) is p1 = 21, p2 = 21 a Nash Equilibrium?
a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.
b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.
c) Player 1 has infinitely many strategies.
d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.
e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.
What is Nash Equilibrium?Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.
Finding Nash Equilibrium
a) Is p1 = 20, p2 = 19.50 a Nash Equilibrium?No. Firm 1 has an incentive to decrease the price to 19.49, thus breaking the tie in its favour. So p1=20, p2=19.5 is not a Nash equilibrium.b) Is there a Nash Equilibrium in which Firm 2 makes a positive profit?Yes. There are several equilibria in which Firm 2 makes a positive profit. One such equilibrium is when both firms charge the same price of 15, at which both firms earn a profit of 375.c) How many strategies does player 1 have?Player 1 has infinitely many strategies to choose from as they can choose any real number in the interval [15,25] as their price.d) Is p1 = 15, p2 = 15 a Nash Equilibrium?Yes. This is a Nash Equilibrium because neither firm has an incentive to change their strategy as they are earning non-zero profits. Both firms earn a profit of 375.e) Is p1 = 21, p2 = 21 Nash Equilibrium?No. If Firm 1 changes its price to 20.99, its profit increases from 405 to 407.99. Therefore, p1=21 and p2=21 is not a Nash Equilibrium.Learn more about Nash equilibrium at
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which of the following functions are an example of exponential growth ?
Answer:
i don't know maybe D. 2 and 3
the integral test can be used to determine that which of the following statements about the infinite series ∑n=1[infinity]e^(1/n)/n^2 is true?A) The series converges, and the terms of the series have limit 0.
B) The series diverges, and the terms of the series have limit 0.
C) The series converges, and the terms of the series do not have limit 0.
D) The series diverges, and the terms of the series do not have limit 0.
The integral test states that if a series ∑n=1[infinity]an can be shown to be equivalent to an integral ∫[1,infinity]f(x)dx, where f(x) is a positive, continuous, and decreasing function, then the series and integral either both converge or both diverge.
Applying this test to the given series, we can let f(x) = e^(1/x)/x^2. It can be shown that f(x) is positive, continuous, and decreasing for x >= 1. Thus, we can write the series as ∑n=1[infinity]e^(1/n)/n^2 = ∫[1,infinity]e^(1/x)/x^2 dx.
To evaluate the integral, we can use integration by substitution with u = 1/x and du/dx = -1/x^2. This gives us ∫[1,infinity]e^(1/x)/x^2 dx = ∫[0,1]e^u du, which equals e - 1.
Since the integral converges to a finite value, we can conclude that the series also converges. Therefore, the correct statement is A) The series converges, and the terms of the series have limit 0.
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$330 is 12% less than the cost last year. Calculate the cost last year.
Answer:
just look that up and walla insta answer