Find the simple interest paid on a loan of $4,750 at a rate of 19.5% for 30 months.
Answers
Answer:
Monthly Payment $201.31
Total Interest Paid $1,289.26
Total Paid $6,039.26
Step-by-step explanation:
Related Questions
The polynomial f(x)=b 0
+b 1
⋅x+b 2
⋅x 2
+b 3
⋅x 3
+b 4
⋅x 4
, passes through five (x,y) points: (−3,6.8),(−1.5,15.2),(0.5,14.5),(2,−21.2), and (5,10). You will write a script to solve for the unknown parameters b 0
,b 1
,…, bs using \ the backslash operator First, create a vector x vec of
of the x data values x 1
,x 2
,..,x 5
and a vector y vec of the y data values y 1
,y 2
,..,y 5
. Note the first element of x vec is x1=−3 and the first element of y vec is y1=6.8, etc. Make xvec and yvec column vectors. Scatter plot the data: plot (xvec, yvec, 'or') o red o symbol Second, create a coefficient matrix A corresponding to the system of equations y
=A b
, where yA involves the x-values. The first column of A is all 1's. Use elementwise exponentiation of xvec to create the remaining columns. A= ⎝
⎛
1
⋮
1
x 1
⋮
x 5
x 1
2
⋮
x 5
2
x 1
3
⋮
x 5
3
x 1
4
⋮
x 5
4
⎠
⎞
Third, use \ to use Gaussian elimination to solve for the unknown bvec. Finally, use bvec in the following code to create an anonymous function for the model and to overlay a plot of the data and the model fit. poly_fit =rho(x)[1,x,x ∧
2,x ∧
3,x ∧
4]∗ bvec # dot product plot (xvec, yvec, 'or') hold on; o hold current figure window for next plot fplot(poly_fit, [−3,5],100) \& plot anon function legend("data", "model fit") \& add legend hold off; % remove hold so new plots in new figure
Answers
The given MATLAB script solves for the unknown parameters of a polynomial using the backslash operator and creates a scatter plot of the data points along with the model fit of the polynomial.
Here's a script in MATLAB that solves for the unknown parameters of the polynomial using the backslash operator and creates a plot of the data and the model fit:
```matlab
% Data points
xvec = [-3; -1.5; 0.5; 2; 5];
yvec = [6.8; 15.2; 14.5; -21.2; 10];
% Scatter plot of the data
scatter(xvec, yvec, 'or');
hold on;
% Coefficient matrix A
A = [ones(size(xvec)), xvec, xvec.², xvec.³, xvec.⁴];
% Solve for the unknown parameters
bvec = A \ yvec;
% Model function
poly_fit = ®(x) polyval(flip(bvec), x);
% Plot the model fit
fplot(poly_fit, [-3, 5], 'b');
hold off;
% Add legend to the plot
legend("Data", "Model Fit");
```
This script first defines the x and y vectors for the data points. It then creates a scatter plot of the data using the `scatter` function. The coefficient matrix A is formed using the x values, and the backslash operator `\` is used to solve for the unknown parameters bvec.
Next, an anonymous function `poly_fit` is created to represent the model using the obtained parameters. The `fplot` function is used to plot the model fit over the range [-3, 5].
Finally, the legend is added to the plot to distinguish the data and the model fit.
Note: This script assumes that you have MATLAB installed and the Curve Fitting Toolbox is available.
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Complete Question:
Find the solution of the differential equation that satisfies the given initial condition. 5. (ex + y)dx + (2 + x + yey)dy = 0, y(0) = 1 6. (x + y)2dx + (2xy + x2 – 1)dy = 0, y(1) = 1
Answers
5. The solution to the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with y(0) = 1 is y = 2e^(-x) – x – 1. 6. The solution to the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with y(1) = 1 is y = x – 1.
5. To solve the differential equation (ex + y)dx + (2 + x + yey)dy = 0 with the initial condition y(0) = 1, we can use the method of exact differential equations. By identifying the integrating factor as e^(∫dy/(2+yey)), we can rewrite the equation as an exact differential. Solving the resulting equation yields the solution y = 2e^(-x) – x – 1.
To solve the differential equation (x + y)²dx + (2xy + x² – 1)dy = 0 with the initial condition y(1) = 1, we can use the method of separable variables. Rearranging the equation and integrating both sides with respect to x and y, we obtain the solution y = x – 1.
These solutions satisfy their respective initial conditions and represent the family of curves that satisfy the given differential equations.
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A pear costs x cents. An orange costs y cents less
than a pear. Find the cost of 4 pears and half a
dozen of oranges.
zoc-5
-600-
Answers
The cost of a product refers to the price or amount of money required to purchase or acquire that particular item. It represents the financial value assigned to the product by the seller or the market. Total cost = 4x + 3 * (cost of a pear - y) cents.
The cost of a pear is x cents. The cost of an orange is y cents less than a pear. To find the cost of 4 pears, you simply multiply the cost of one pear by 4:
4 * x = 4x cents.
To find the cost of half a dozen oranges, you need to determine the cost of one orange and then multiply it by 6 and divide by 2:
Cost of one orange = cost of a pear - y cents.
Cost of half a dozen oranges = (6 * (cost of a pear - y)) / 2 = 3 * (cost of a pear - y) cents.
So, the total cost of 4 pears and half a dozen oranges is the sum of the cost of 4 pears and the cost of half a dozen oranges:
Total cost = 4x + 3 * (cost of a pear - y) cents.
Please note that the given expression "zoc-5-600" does not seem to be relevant to the question at hand.
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PLEASE HELP need great assistance. The problem is in the picture below.
Answers
The correct option is:
She cannot reject the null hypothesis at α = 0.05 because 7.5 is not contained in the 95% confidence interval.
Option B is correct
What is a confidence interval ?
A confidence interval is described as a range of estimates for an unknown parameter. A confidence interval is also computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used.
For the true population mean, a confidence interval provides a range of likely values, and in this instance, the 95% confidence interval is (5.8, 6.4).
Thus, if we were to conduct this study repeatedly, we could anticipate that the genuine population mean would, 95% of the time, fall between 5.8 and 6.4.
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There are 12 girls and 15 boys in a class. The teacher wants to make reading groups with the same number of girls and boys in each group. What is the greatest number of reading groups that can be made
Answers
Answer:3
Step-by-step explanation:
find three non-negative numbers a, b, and c such that their product is a maximum when the numbers a, b, and c are constrained by the relation 8a + b + c = 14.
Answers
The maximum product is achieved when a = 0, b = 7/2, and c = 7/2.
To solve this problem, we will use the method of Lagrange multipliers.
We want to maximize the product P = abc subject to the constraint 8a + b + c = 14. We can set up the following function to use Lagrange multipliers:
F(a, b, c, λ) = abc + λ(8a + b + c - 14)
To find the maximum, we need to solve the system of equations:
∂F/∂a = bc + 8λ = 0
∂F/∂b = ac + λ = 0
∂F/∂c = ab + λ = 0
∂F/∂λ = 8a + b + c - 14 = 0
From the second equation, we get c = -λ/a. Substituting this into the third equation, we get b = -λ/a. Substituting these values into the first equation, we get:
bc + 8λ = (-λ/a)(-λ/a) + 8λ = λ(8 - λ/a²) = 0
Therefore, λ = 0 or λ = ± 2a√2.
If λ = 0, then from the fourth equation, we get 8a + b + c - 14 = 0, which implies b + c = 14 - 8a. We want to maximize the product abc, so we can use AM-GM inequality:
abc ≤ ((a + b + c)/3)³ = ((14 - 7a)/3)³
To maximize this expression, we need to find the value of a that makes 14 - 7a as small as possible. From the constraint, we have a = (14 - b - c)/8. Substituting b + c = 14 - 8a, we get a = (14 - 14 + 8a)/8 = a/2, which implies a = 0.
Therefore, a = 0, and from the constraint, we have b + c = 14. To maximize the product abc, we can set b = c = 7/2.
So the three non-negative numbers that maximize the product abc are a = 0, b = 7/2, and c = 7/2.
If λ = ± 2a√2, then we can use the first equation to get:
bc + 8λ = bc ± 16a√2 = 0
Solving for b and c, we get:
b = ± 4a√2 and c = ∓ 4a√2
But these values are negative, which is not allowed, so we can ignore this case.
Therefore, the maximum product is achieved when a = 0, b = 7/2, and c = 7/2.
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20 points!!! Permutations and combinations question.
Answers
Answer:
7,9,10
hope it helps
have a good night
Find the values of the trigonometric functions of t from the given information. tan(t) = -12/5 , sin(t) > 0 ,sin(t),cos(t),csc(t),sec(t),cot(t).
Find the radius r of the circle if an arc of length 20 m on the circle subtends a central angle of 5
π
/7 rad. (Round your answer to two decimal places.)
Answers
The values of the trigonometric functions of t are Sin(t)=0.2, Cos(t) = -5/12, Csc(t) = 5,Sec(t) = -12/5, Cot(t) = -5/12 and the radius r of the circle if an arc of length 20 m on the circle subtends a central angle of 5π/7 rad is 8.86 m
To find the values of the trigonometric functions of t, the tan(t) value was used to calculate the sin(t) value by using the relationship sin²(t) + cos²(t) = 1. The other trigonometric functions were calculated by using the relationship among the trigonometric functions.
Sin(t) = √(1 - (tan(t))^2) = √(1 - (-12/5)^2) = √(1 - 144/25) = √(25/25 - 144/25) = √(1/25) = 0.2
Csc(t)= 1/0.2= 5
The radius of the circle was then determined by using the arc length and the angle subtended at the center. The arc length was divided by the subtended angle to find the radius. The result was rounded off to two decimal places.
Radius r = (20m)/(5π/7) = (20m*7)/(5π) = 28/π = 8.86 m
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4x2 +9y2 = 72
x - y2 = -1
Select all of the following that are solutions to the system shown.
Solve?
Answers
Answer:
\(\bold{\left(\dfrac{3}{13}\ ,\ \dfrac{4\sqrt{13}}{13}\right)\qquad\vee\qquad \left(\dfrac{3}{13}\ ,\ -\dfrac{4\sqrt{13}}{13}\right)}\)Step-by-step explanation:
x - y² = -1 ⇒ - y² = - x - 1 ⇒ y² = x + 1 {x≥-1}
4x² + 9y² = 72
4x² + 9(x + 1)² = 72
4x² + 9(x² + 2x + 1) = 72
4x² + 9x² + 18x + 9 - 72 = 0
13x² + 18x - 63 = 0 ⇒ a = 13, b = 18, c = -63
\(x=\dfrac{-18\pm\sqrt{18^2-4\cdot13\cdot(-63)}}{2\cdot13}=\dfrac{-18\pm\sqrt{324+252}}{26}=\dfrac{-18\pm\sqrt{576}}{26}\\\\x=\dfrac{-18+24}{26}=\dfrac3{13}\qquad\vee\qquad x=\dfrac{-18-24}{26}=-\dfrac{21}{13}\\\\ y^2= x + 1\quad\iff\quad x\ge-1\\\\y^2=\dfrac3{13}+1\\\\ y^2=\dfrac{16}{13}\\\\y=\dfrac{4}{\sqrt{13}}=\dfrac{4\sqrt{13}}{13}\qquad\vee\qquad y=-\dfrac{4\sqrt{13}}{13}\)
if a1 = 8 and an-1+2 then find the value of a4
Answers
Given the sequence defined by\(a_1\)= 8 and the rule \(a_n = a_n-1 + 2\), we find that \(a_4\) is equal to 14.
To find the value of a4, we need to determine the pattern or rule that governs the sequence. Based on the given information, we know that \(a_1\)= 8. Additionally, the sequence follows the pattern \(a_n = a_n-1 + 2\).
Let's analyze the sequence step by step:
\(a_1\)= 8 (given)
To find\(a_2\), we use the pattern: \(a_2\) = \(a_1\) + 2 = 8 + 2 = 10.
To find\(a_3\) we again use the pattern: \(a_3\) =\(a_2\) + 2 = 10 + 2 = 12.
Finally, to find \(a_4\), we continue with the pattern: \(a_4\) = \(a_3\) + 2 = 12 + 2 = 14.
Therefore, the value of \(a_4\) is 14.
In summary, given the sequence defined by\(a_1\) = 8 and the rule \(a_n = a_n-1 + 2\) we find that \(a_4\) is equal to 14.
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What is the justification for step 3 in the solution process?
12 − x = 7x + 32
Step 1: -x = 7x + 20
Step 2: -8x = 20
Answers
-8x/-8 = 20/-8
Step 4: x= -2.5
Determine which process generates more values that are more than 2 standard deviations from the mean
Answers
The process that generates more values that are more than 2 standard deviations from the mean is called a "fat-tailed" distribution.
In a fat-tailed distribution, the probability of extreme values occurring is higher compared to a normal distribution.
To understand this concept, let's consider two processes: Process A and Process B.
Process A generates a dataset with a normal distribution, while Process B generates a dataset with a fat-tailed distribution.
In a normal distribution, the majority of the data falls close to the mean, with fewer values farther away.
The probability of values more than 2 standard deviations from the mean is relatively low.
On the other hand, in a fat-tailed distribution, there is a higher likelihood of extreme values occurring.
This means that the probability of values more than 2 standard deviations from the mean is higher.
For example, let's say we have two datasets: Dataset A generated by Process A and Dataset B generated by Process B.
We calculate the mean and standard deviation for both datasets.
In Dataset A, if the mean is 50 and the standard deviation is 5, then values more than 2 standard deviations away from the mean would be greater than 60 or less than 40.
In Dataset B, if the mean is 50 and the standard deviation is also 5, then values more than 2 standard deviations away from the mean would have a wider range.
These values could be significantly higher than 60 or lower than 40, depending on the specific distribution of Dataset B.
Therefore, if Process B generates a fat-tailed distribution, it is more likely to produce values that are more than 2 standard deviations from the mean compared to Process A and its normal distribution.
In summary, the process that generates more values that are more than 2 standard deviations from the mean is a fat-tailed distribution, which has a higher likelihood of extreme values occurring.
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Which additional piece of information would show that quadrilateral WXYZ is a rhombus?
Answers
The additional piece of information that is needed to show that the quadrilateral is a rhombus is given as follows:
The angle measures.
What is a rhombus?A rhombus is a quadrilateral, and is a special case of a parallelogram.
For the parallelogram to represent a rhombus, these following conditions need to be respected:
Parallelism of opposite sides.Congruence of opposite angles -> Same measures.All the sides are equal in length.The bisection of diagonals happen at right angles.To verify if two sides are parallel, we need to verify their slopes, which are dependent on their angle measures. Hence these angle measures are the missing piece of information to define if the quadrilateral is a rhombus.
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A bag of candy contained the flavors strawberry, orange, cherry, and lemon. Zelda drew each
piece of candy out of the bag and recorded the frequency of each.
Which candy's experimental probability is closest to its theoretical probability?
Answers
Answer: Strawberry
Step-by-step explanation: Strawberry has the highest candies so it has the highest chance of being pulled out.
When the plumber comes to my house to fix the leaky faucet,he charges a flat rate of $50 in addition to charging $22 per hour.if the final bill was $116,how long was the plumber at my house?
Answers
Answer:
Below.
Step-by-step explanation:
50+22x=116
Subtract 50 from both sides.
22x/22=66/22= 3
The plumber was at my house for 3 hours.
If the final bill was $116, the plumber was at your house for 3 hours.
How to solveThe plumber charges a flat rate of $50, so the remaining bill of $116 - $50 = $66 is the hourly charge.
Since the hourly charge is $22, the plumber was at the house for $66 / $22 = 3 hours.
Therefore, the plumber was at your house for 3 hours.
Here's a table that summarizes the steps:
Step Description Value
1 Flat rate charge $50
2 Hourly charge $66
3 Hourly rate $22
4 Hours worked $66 / $22 = 3 hours
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The original price of a coat is $90. It is on sale for 20% off. How much will you pay if you buy the cost during the sale?
Answers
Answer:
72$
Step-by-step explanation
How to insert in a calculator 90-20%= 72
How to take 20% from a price
Divide the original price by 5. 18
Subtract this new number from the original one. 90 - 18
The number you calculated is the discounted value. 90 - 18 = 72
Help anyone can help me do this question,I will mark brainlest.
Answers
Answer:
18. 28 cm*2
19. 24 m
Step-by-step explanation:
18. length × l = 16
l*2= 16
l = 4
RQ = 4 cm
PR =7cm
Area of parallelogram = b×h
= 7×4
=28cm*2
19. 8 +8 + (6-2) +( 6- 2)
=24 m
Find the unknown side length. Give EXACT answer. Then tell if the triangle forms a Pythagorean triple.
Answers
Answer:
A. Radical 12, not a pythagroean triple. B. 5, yes, it is a pythagorean triple.
Step-by-step explanation:
Use the pythagroean theorem ^^
The Crimson Sox are playing a home game and have a 60% chance of winning. At the same time, the Northerners are playing a home game and have a 60% chance of winning. What is the probability that the Crimson Sox win and the Northerners lose
Answers
The probability that the Crimson Sox win and the Northerners lose is 24%.
What is a probability simple definition?
The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.Probability is the branch of mathematics concerning the occurrence of a random event, and four main types of probability exist: classical, empirical, subjective and axiomatic. Probability is synonymous with possibility, so you could say it's the possibility that a particular event will happen.P(C) = 0.6 P(Nc) = 0. 4
So, the probability that the Crimson Sox win and the Northerners lose
= 0.6 × 0.4
= 0.24 or 24%
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If all the gold that has been produced in
the last 500 years could be melted to
form a single cube, each side would
measure about 16 m. How many cubic
meters of gold is this?
Answers
Step-by-step explanation:
just find the cubic of 16
\( {16}^{3} = {2}^{12} = 4096\)
1. An invoice dated December 23 is received with a shipment of basketball equipment from Taiwan on May 18 of the following year. The list price of the equipment is $3582, with allowed series discounts of 20/10/5. If cash terms of sale are 3/15ROG, find the amount necessary to pay in full on April 26. (3 Marks) 2. A retailer knows that 30% of the apples purchased will spoil and must be thrown out. If they buy 200 baskets of apples for $0.32 per basket and want a markup of 60% on selling price, find the selling price per basket of apples. (2 Marks) 3. A company paid $362.40 for an item. The original price was $491.80, but this was marked down 40%. If the operating expenses are 38% of the cost, find the operating loss and the absolute loss. (2 Marks) 4. Sundaram needs $54,800 to remodel his home. Find the face value of a simple discount note that will provide the $54,800 in proceeds if he plans to repay the note in 180 days and the bank charges an 6% discount rate. (2 Marks) 5. Peter deposited $25,000 in a savings account on April 1 and then deposited an additional $4500 in the account on May 7 . Find the balance on June 30 assuming an interest rate of 41/2 \% compounded daily. (2 Marks) 6. At the end of each year, Shaun and Sherly will deposit $5100 into a 401k retirement account. Find the amount they will have accumulated in 12 years if funds earn 6% per year. (2 Marks) 7. Kulluha Sdn. Bhd. signed a note with a payment of $11,500 per quarter for 4 years. Find the amount they must set aside today to satisfy this capital requirement in an account earning 6% compounded quarterly. (2 Marks)
Answers
The invoice date is December 23, so the payment is due on January 7 (3/15 ROG) of the following year. However, the shipment arrives on May 18 of the following year, which means the payment is overdue by 132 days (May 18 minus January 7). Since there are 360 days in a year, this is equivalent to 132/360 or 11/30 of a year.
Let x be the selling price per basket of apples. Therefore, the selling price per basket of apples is $0.12.3. The item was marked down by 40%, which means the cost is: 60%($491.80) = $295.08 The operating expenses are 38% of the cost, which means the operating expenses are: 38%($295.08) = $112.12 Therefore, the operating loss is: $362.40 - $295.08 - $112.12 = -$45.80The absolute loss is the absolute value of the operating loss, which is: $45.80.4. The simple discount note is a promissory note that is discounted before it is issued.
The discount rate is 6%, which means that the bank will subtract 6% of the face value of the note as interest. The proceeds are the amount that Sundaram receives after the bank takes its interest.
The proceeds are:
$54,800 = Face value - 6%(Face value)0.94(Face value)
= $54,800
Face value = $58,297.87
Therefore, the face value of the simple discount note is $58,297.87.5. The interest rate is 4.5% compounded daily, which means that the effective annual interest rate is:(1 + 0.045/365)365 - 1 = 0.0463The balance on June 30 is the sum of the balance on April 1 and the balance on May 7 plus the interest earned between April 1 and June 30. Let x be the balance on April 1. Then:(1 + 0.0463)90 = (1 + 0.045/365) x + $4,500x = $29,216.17
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Using factor theorem , show that (x -4) is a factor 2x3 + x2 -26x - 40 and hence factorize completely.
Answers
Step-by-step explanation:
if x-4 is a factor of 2x^3 + x^2- 26x - 40
then f(4) = 0
f(x) = 2x^3 + x^2- 26x - 40
f(4) = 2(4)^3 + (4)^2 - 26(4) - 40
f(4)= 2(64) + 16 - 104 - 40
f(4) = 128 + 16 - 104 - 40
f(4) = 0
hence factorize completely is the photo
la quema de gasolina en un automóvil libera aproximadamente 3x104 kcal/gal. si un automóvil promedia 38 km/gal cuando se conduce a 95 km/h, lo que req
Answers
The approximate energy requirement for the car when driven at 95 km/h is 789.47 kcal/km.
We have,
If a car averages 38 km/gal when driven at 95 km/h, we can calculate the fuel consumption in gallons per kilometer (gal/km).
Fuel consumption (gal/km) = 1 / (average fuel efficiency in km/gal)
Fuel consumption (gal/km) = 1 / 38
Now, to determine the energy requirement in kcal per kilometer (kcal/km), we multiply the fuel consumption by the energy released per gallon of gasoline:
Energy requirement (kcal/km) = Fuel consumption (gal/km) * Energy released per gallon (kcal/gal)
Energy requirement (kcal/km) = (1 / 38) * (3 x 10^4 kcal/gal)
Now,
Fuel consumption (gal/km) = 1 / 38
Energy requirement (kcal/km) = (1 / 38) * (3 x 10^4 kcal/gal)
Energy requirement (kcal/km) = (1 / 38) * (3 x 10^4 kcal/gal)
≈ 789.47 kcal/km
Therefore,
The approximate energy requirement for the car when driven at 95 km/h is 789.47 kcal/km.
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The complete question:
"Burning gasoline in a car releases approximately 3 x 10^4 kcal/gal. If a car averages 38 km/gal when driven at 95 km/h, what is the energy requirement in kcal per kilometer (kcal/km) for the car?"
What is the median of this data set?
Answers
Answer:
median = 3.5
Step-by-step explanation:
the median is the middle value of the data sey. If there is no exact middle then it is the average of the values either side of the middle.
listing the values from the data set
1 , 1 , 2, 3 , 4 , 4 , 4 , 5
↑ middle
median = (3 + 4) ÷ 2 = 7 ÷ 2 = 3.5
Suppose that each country currently has 90 workers and each decides to transfer some amount of labor toward its area of comparative advantage. The United States transfers 10 workers away from socks toward producing cell phones. Thailand transfers 18 workers away from cell phones toward producing socks. What will be the new total output of cell phones for both countries combined?
Answers
Answer:
I got 41000 cell phones.
Step-by-step explanation:
Step 1: I figured out the amount of each workers from 90
US Sock Production: 18 workers
Thailand Sock Production: 15 workers
US Cell Production: 27 workers
Thailand Cell Production: 30 workers
Step 2: I adjusted the workers amounts to the question's changes
US Sock Production: 18 - 10 = 8 workers
Thailand Sock Productions: 18 + 15 = 33 workers
US Cell Production: 27 + 10 = 37 workers
Thailand Cell Production: 30 - 18 = 12 workers
Step 3: Find the total amount of cell phones produced
4(1000) + 37(1000) = 41000 cell phones
*12/3 = 4 because 3 workers are needed to make 1000 cell phones
El volumen de un cubo, cuyos lados miden 4,5 cm corresponde a: A- 91 cm2 B- 91,1 cm C- 91 cm3
Answers
Answer:
La respuesta correcta es la opción C: 91 cm³.
Step-by-step explanation:
La fórmula del volumen de un cubo es la siguiente:
\( V = a^{3} \)
En dónde:
a: es cada lado del cubo = 4,5 cm
Entonces, el volumen del cubo es:
\( V = a^{3} = (4,5 cm)^{3} = 91.1 cm^{3} \approx 91 cm^{3} \)
Por lo tanto, la respuesta correcta es la opción C: 91 cm³.
Espero que te sea de utilidad!
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks.
Sidney wants to take group fitness classes at a nearby gym, but needs to start by selecting a
membership plan. With the first membership plan, Sidney can pay $36 per month, plus $2 for
each group class she attends. Alternately, she can get the second membership plan and pay
$35 per month plus $3 per class. If Sidney attends a certain number of classes in a month,
the two membership plans end up costing the same total amount. How many classes per
month is that? What is that total amount?
If Sidney attends
Submit
classes per month, each membership plan costs $
Answers
The system of equation to describe the situation below is x= 1.
What is equation?
an equation is a formula that is to expresses the equality of two expressions, by the connecting them with in the equals sign.
The process of equting one thing with another is called the equation of science with objective.
Sol- Based on the given condition-
The formulate is- 36+2x=35+3x
Rearrange variables to the left side of the equation
2x-3x=35-36
Combine like terms
-x= 35-36
Calculate the sum or difference
-x=-1
Devide both side of the equation by the coefficient of variable we get
X=1
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Suppose the demand and supply of tea are modeled by the two following functions: Q = 34P + 53 Q = -25P + 177 What is the equilibrium price of tea? Round your answer to two places after the decimal point (0.01).
Answers
According to the question the equilibrium price of tea is 2.10.
What is equilibrium?Equilibrium is a state of balance in which all forces acting on an object are equal and opposite, so no net force is acting on the object. This state of balance is also known as a "steady state". Equilibrium is an important concept in many areas of science, such as physics and chemistry, because it allows us to analyze how objects interact in a stable environment. Equilibrium can also be used to describe a state of financial balance, where all parties involved in a transaction are satisfied with the outcome.
The equilibrium price can be found by setting the two equations equal to one another and solving for P.
34P + 53 = -25P + 177
59P = 124
P = 124/59
P = 2.10
Therefore, the equilibrium price of tea is 2.10.
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sum of two numbers be 95. if one exceeds the other by 15, find the number
Answers
Sum of two number = 95
Let the first number be x, then another number be x + 15.
According to the question, x + x + 15 = 95
=>2x+15=95
=>2x+15-15=95-15
=>2x=80
=>x=40
Hence, the first number = 40
And another number = 40 + 15 = 55.
How much is half of a full circle
Answers
the area of a semi circle is 1/2(πr^2)
Answer:
180 degrees? 360 degrees is a full circle
Step-by-step explanation: