Please help I don't understand!

Answer:

12%

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 12%/100 = 0.12 per year,

then, solving our equation

I = 3900 × 0.12 × 0.25 = 117

I = $ 117.00

The simple interest accumulated

on a principal of $ 3,900.00

at a rate of 12% per year

for 0.25 years is $ 117.00.

Answer:

sp=mp-20%ofmp=0.8mp

mp=cp+30%ofcp=1.3cp

mp=1.3cp

cp=mp/1.3

profit %=?

Step-by-step explanation:

The profit percentage is 4% .

Profit percentage (%) is the amount of profit expressed in terms of percentage. This profit is based on the cost price .

Formula for profit percentage is:

(Profit/Cost Price) × 100

where,

Profit = Selling price - Cost price

According to the question

Let Cost price of the article = 100x

marked price is 30% above the cost price

i.e  marked price = \(\frac{130}{100} * 100x\)

                            = 130 x

selling price of an article is 20% less than its marked price

i.e Selling price of the article = \(130x * \frac{100-20}{100}\)

                                                = \(130x * \frac{80}{100}\)

                                                = 104 x

Now ,

Profit = Selling price - Cost Price

Profit = 104x -100x

Profit = 4x        

Profit percentage =   \(\frac{Profit}{Cost PRice} *100\)

substituting the values in formula

Profit percentage =  \(\frac{4x}{100x} *100\)

Profit percentage =  4%

Hence, the profit percentage is 4% .

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When the coin is tossed, the probability of getting a 95% to 5% split is 0.1128.

Given that:

The number of times the coin is tossed = 260

Probability of success = 95% = 0.95

Probability of failure = 5% = 0.05

The number of times success came is:

x = 0.95 × 260

  = 247

The binomial probability formula can be used to find the required probability.

Here, p = 0.95, q = 0.05, n = 260 and x = 247.

So, the probability is:

P(247) = ²⁶⁰C₂₄₇ (0.95)²⁴⁷ (0.05)²⁶⁰⁻²⁴⁷

           = ²⁶⁰C₂₄₇ (0.95)²⁴⁷ (0.05)¹³

           = 0.1128

Hence, the probability is 0.1128.

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9514 1404 393

Answer:

  ∠E = ∠A = 34°; ∠AFB = ∠DFE = 107°-34° = 73°

Step-by-step explanation:

Here's where I'd go next.

73° (∠EDA) is exterior to ΔDAC, so is the sum of remote interior angles A and C. That is, ...

  ∠C + ∠A = 73°

  ∠C = 73° -∠A = 73° -39° = 34°

Triangle CBE is given as isosceles, so its base angles C and E are congruent, both 34°.

Exterior angle CDF is the sum of remote interior angles DEF and DFE, so we have ...

  107° = 34° +∠DFE

  ∠DFE = 107° -34° = 73°

The angle we just found (∠DFE) is a vertical angle with ∠AFB, so has the same measure.

  ∠AFB = 73° . . . . vertical angle with ∠DFE

_____

In summary, it looks like we have added some steps to the derivation:

  4. ∠A = 34° . . . . exterior angle theorem (∠A +39° = 73°)

  5. ∠E = ∠A = 34° . . . . definition of isosceles triangle

  6. ∠DFE = 73° . . . . exterior angle theorem (∠E +34° = 107°)

  7. ∠AFB = 73° . . . . vertical angles

_____

Additional comment

Any sort of math problem solving has you work from what you know to what you need to know by making use of previously learned relationships between the bits of information you have. Here, you really only need to know (a) angles of a linear pair total 180°; (b) angles in a triangle total 180°; (c) angles opposite congruent sides in a triangle are congruent. Everything we claim above can be concluded using these facts. The various theorems we used are simply shortcuts that allow you to bypass intermediate steps in the problem-solving process.

Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Answer:

the first one is an ellipse.is ellipse a function Gods plan I think the second one is a function.

The money in the account at the end of the 4 years is $1034

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Now we are given that the initial amount deposited in the account is $1000

This account is giving 0.85% And we have to figure out how much amount will be there

We use compound interest formula to find the amount

\(A= P(1+r/n)^{nt}\\\\A= 1000(1+0.0085)^{4}\\A = 1000(1.034)\\A= 1034\)

Hence the amount will be after 4 years is $1034.

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The length of the garden is 15 meters

The breadth of the garden is 10 meters

From the question, we have the following parameters that can be used in our computation:

Length = 5 + Breadth

So, we have

Perimeter = 2 * (5 + Breadth + Breadth)

The permeter is 50

So, we have

2 * (5 + Breadth + Breadth) = 50

This gives

(5 + Breadth + Breadth) = 25

So, we have

Breadth + Breadth = 20

Divide by 2

Breadth = 10

Recall that

Length = 5 + Breadth

So, we have

Length = 5 + 10

Evaluate

Length = 15

Hence, the length of the garden is 15 meters

In (a), we have

Breadth = 10

Hence, the breadth of the garden is 10 meters

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A basis for W¹ consists of the vectors u₁ = (1, 0, 1) and u₂ = (0, 1, 0).  a different set of vectors that form a basis for W¹.

To find a basis for the set W¹, which consists of all vectors of the form (x, y, x + y) where x and y are real numbers, we need to determine a set of linearly independent vectors that span W¹.

Let's consider three vectors in W¹:

v₁ = (1, 0, 1)

v₂ = (0, 1, 1)

v₃ = (1, 1, 2)

To check if these vectors are linearly independent, we can form a matrix with these vectors as columns and row-reduce it to echelon form:

[1 0 1]

[0 1 1]

[1 1 2]

Performing row operations:

R3 - R1 -> R3

[-1 0 1]

[0 1 1]

[0 1 1]

Now, subtracting R2 from R3:

R3 - R2 -> R3

[-1 0 1]

[0 1 1]

[0 0 0]

Since the last row of the row-reduced matrix consists of all zeros, we can see that the vectors v₁, v₂, and v₃ are linearly dependent. Hence, we need to find a different set of vectors that form a basis for W¹.

Let's consider two different vectors in W¹:

u₁ = (1, 0, 1)

u₂ = (0, 1, 0)

Now, let's check if these vectors are linearly independent:

If we set the equation au₁ + bu₂ = 0 (where a and b are scalars), we get:

a(1, 0, 1) + b(0, 1, 0) = (0, 0, 0)

This gives the system of equations:

a = 0

b = 0

Since the only solution to this system is a = 0 and b = 0, we can conclude that the vectors u₁ and u₂ are linearly independent.

Therefore, a basis for W¹ consists of the vectors u₁ = (1, 0, 1) and u₂ = (0, 1, 0).

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If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

For this question we need to subtract and multiply the numbers. We know that 2 = 25% of 8 so:

\(\boxed{8-2=6}\\\boxed{6/2=3}\)

We are going to take that 25% and multiply it with 3 to get are final answer.

\(\boxed{25*3=75}\\\boxed{So,2=75}\)

Therefore, If the original quantity is 8 and the new quantity is 2, then the correct answer is 75%.

A) The new values for the mean and standard deviation, after adding 3 points to every score, would be a mean of 53 and a standard deviation of 10. B) The new values for the mean and standard deviation, after multiplying every score by 2, would be a mean of 100 and a standard deviation of 20.

A) Adding 3 points to every score in the population would result in a shift of the entire distribution. The new mean would be the original mean plus 3, so the new mean would be 50 + 3 = 53. The standard deviation would remain the same since it measures the spread of the data relative to the mean. Therefore, the new standard deviation would still be 10.

B) Multiplying every score in the population by 2 would affect both the mean and the standard deviation. The new mean would be the original mean multiplied by 2, so the new mean would be 50 * 2 = 100. The new standard deviation would also be multiplied by 2 since it measures the spread of the data relative to the mean. Therefore, the new standard deviation would be 10 * 2 = 20.

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Answer:

1/4

Step-by-step explanation:

Answer:

0.5 goes on 2 points to the left0, 0.75 goes 3 points to the left of 0, 1.25 goes 1 point to the left from the 1, - 9/4 goes at the very end on the left side, and - 7/4 goes 1 right from the 2.

Step-by-step explanation:

True. A multiplicative time-series model Y = T times C times S times I becomes an additive model if we take the logarithm of each side of the equation.

Let's look into why this statement is true.

A multiplicative time-series model can be defined as the product of four components, where Y is the observed series, T represents the trend, C represents the cyclical or periodic pattern, S represents the seasonal pattern, and I represents the irregularity or noise in the series.

In mathematical terms, Y = T × C × S × I

This model is said to be multiplicative because the variability of the series increases as the level of the series increases.

This is what makes it challenging to use the model to forecast future values, as forecasting methods often assume that the variability of the series remains constant over time.

When we take the logarithm of each side of the equation, we obtain:

log(Y) = log(T × C × S × I)

Using logarithmic rules,

we can then rewrite this as:

log(Y) = log(T) + log(C) + log(S) + log(I)

This model is now additive because the variability of the series is constant over time, making it easier to use for forecasting purposes. Therefore, the statement is true.

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Answer:

ok i guess...

Step-by-step explanation:

Answer:

Thank you so much!

Step-by-step explanation:

Answer:

answer B

Step-by-step explanation:

to find the volume you need to multiply the length x width x height which is 4.2 x 3 x 7 = 88.2

To find the equation of a line with a slope of Four-thirds that passes through point (3, 5), we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the given point.

Plugging in the values, we get:

y - 5 = Four-thirds(x - 3)

Simplifying, we can write:

y - 5 = Four-thirds x - 4

Adding 5 to both sides, we get:

y = Four-thirds x + 1

Therefore, the statement that is true is:

The slope-intercept equation is y = four-thirds x + 1.

Answer:

B) Y=4/3X+1

Step-by-step explanation:

Y-Y1=M(X-X1)

Y-5=4/3(X-3)

Y-5+5=4/3(X-3)+5

Y=4/3X-4+5

Y=4/3X+1

Hope this helps <3

EXPLANATION

Let's see the facts:

Ipad pen cost = -$105

Best friend ----> +$12

---------------

-$93

Babysitting Saves +$20/week

We are still needing $93 dollars to buy the pen, so, if she earns $20 peer week, then she should work:

$93 = 20 $/week * number of weeks

Calling x to the number of weeks and turning this into an inequality:

12 + 20x ≥ 105

Subtracting -12 to both sides:

20x ≥ 105-12

Simplifying:

20x ≥ 93

Dividing both sides by 20:

x ≥ 93/20

Simplifying:

x ≥ 4.65

Answer: Amelia should at least work 5 weeks in order to save the money to buy the Ipad pen.

The series ∑(k=3 to infinity) (2k+5)/(k+1) is divergent because it behaves similarly to the harmonic series, which is a well-known divergent series.

To determine the convergence or divergence of the given series \(\sum_{k=3}^{\infty} \frac{2k+5}{k+1}\), we can use the limit comparison test.Let's consider the harmonic series \(\sum_{k=1}^{\infty} \frac{1}{k}\), which is a well-known divergent series. We can compare it to our given series by taking the limit as \(k\) approaches infinity:

\[

\lim_{{k \to \infty}} \frac{\frac{2k+5}{k+1}}{\frac{1}{k}} = \lim_{{k \to \infty}} \frac{2k^2 + 5k}{k+1} = \lim_{{k \to \infty}} \frac{k(2k + 5)}{k+1} = \lim_{{k \to \infty}} \frac{2k^2}{k+1} = 2

\]

Since the limit is a finite non-zero value (in this case, 2), the series \(\sum_{k=3}^{\infty} \frac{2k+5}{k+1}\) has the same convergence behavior as the harmonic series. As the harmonic series is divergent, the given series is also divergent.Therefore, the series \(\sum_{k=3}^{\infty} \frac{2k+5}{k+1}\) is divergent or not summable.

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Answer:

5/7

Step-by-step explanation:

We have two points ( 2,-2) and (9,3)

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 3- -2)/( 9-2)

   = ( 3+2)/(9-3)

   = 5/7

Answer:

The ratio of girls to total students is 12:30, which can be simplified to 2:5.

Step-by-step explanation:

You can express the ratio in different ways by using the same numbers, for example, you could say that for every 2 girls, there are 5 total students, or that for every 5 total students, 2 of them are girls.

The employee's yearly salary is calculated as $37,440 using the arithmetic operations.  

The employee earns $18 per hour and works 40 hours per week. To calculate the weekly salary, we multiply the hourly wage by the number of hours worked:

Weekly salary = Hourly wage × Hours worked per week

Weekly salary = $18/hour × 40 hours/week = $720

Next, to calculate the yearly salary, we use the multiplication operation the weekly salary by the number of weeks in a year:

Yearly salary = Weekly salary × Weeks in a year

Yearly salary = $720/week × 52 weeks/year = $37,440

Therefore, the employee's yearly salary is $37,440. This calculation assumes a 40-hour work week and 52 weeks in a year. It's important to note that this calculation does not account for overtime pay or any other additional benefits or deductions that may affect the employee's total annual income.

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The most direct way to measure how dispersed a set of scores is, is by using the range. The range is calculated by subtracting the lowest score from the highest score in the dataset, which gives a quick and easy measure of the spread of the scores.

However, the range can be influenced by extreme scores and may not provide a complete picture of the variability. Other measures of variability, such as the standard deviation and variance, take into account the variability of all scores in the dataset and provide a more robust measure of variability.

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The average daily change in temperature, we divide the change in temperature by the number of days, resulting in (-49) / D

To represent the change in temperature, we can use a division expression. We need to find the difference between the initial temperature and the final temperature, and divide that difference by the number of days.

Let's assume that the initial temperature was T1 and the final temperature was T2. The change in temperature can be represented by the expression T2 - T1.

In this case, the temperature dropped 49 degrees Fahrenheit. So, the expression to represent the change in temperature would be T2 - T1 = -49.

To determine the average daily change in temperature, we need to divide the change in temperature by the number of days. Let's assume that the number of days is D.

The average daily change in temperature can be calculated by dividing the change in temperature by the number of days. So, the expression to determine the average daily change would be (-49) / D.

For example, if the temperature dropped 49 degrees Fahrenheit over a span of 7 days, the average daily change would be (-49) / 7 = -7 degrees Fahrenheit per day.

It's important to note that the negative sign indicates a decrease in temperature, while a positive sign would indicate an increase.

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The y-intercept of the given line defined by the given equation as in the task content is; -6.

It follows from the task content that the y-intercept of the line defined by the given equation as in the task content is to be determined.

Since the given equation is; y = 1/3x - 6.

Therefore, since the y-intercept is the value of y when, x = 0;

y = 1/3(0) - 6

y = 0 - 6

y = -6.

On this note, the required y-intercept of the line is; -6.

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The volume of the right circular cone is found to be (500/3)π.

Given that the cone has a height h = 20 and the base is a circle of radius r = 5.

We can use the formula to find the volume of a cone.V = (1/3)πr²h

The value of r is given to us as 5 and h is 20.

Let's find the volume of a right circular cone of height h = 20 whose base is a circle of radius r = 5.

We know that the formula to find the volume of a cone is given by,V = (1/3)πr²h

Here, r = 5 and h = 20.

Substitute these values in the above formula,

V = (1/3)π(5)²(20)

V = (1/3)π(25)(20)

V = (1/3)π(500)

V = (500/3)π

So, the volume of the cone is (500/3)π.

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Answer:

Step-by-step explanation:

its b cuz when u replace any value of x from B to the equation, the value of y satisfies the values of y in B. For instance

y = 4 * -3 + 2

= -10

the value of y is -10 which satisfies the value of y in B but when u use a value of another table suppose A it would be,

y = 4 * 7 + 2

= 30

but the value y corresponding to the value of x we used is not 30

HOPE IT HELPED

Answer:

im pretty sure its 1.4

Step-by-step explanation:

Answer:

1 pineapple = $0.5 dollars

Step-by-step explanation:

Given that,

→ the price of 200 pineapples is $100.

Now the price of 1 pineapple is,

→ 100/200

→ $0.5 dollars

Hence, answer is $0.5 dollars.