A person invests 5500 dollars in a bank. The bank pays 4.25% interest compounded quarterly. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 8600 dollars?

A=P(1+r/n)^nt

Answer: C - I agree

D - Square root 50 lies between integers 7 and 8

E - Find the closest integer to 40

Step-by-step explanation: C - 7/9 will be 0.77777778 which you can simplify to 0.777

D - The square root of 50 is 7.07106781187 so it is between the integers 7 and

E - The square root of 40 is 6.32455532034 which so find the clossest integer to 40

The population for the school's question would be all of the students, faculty, and attendees at the basketball games.

A sample the school could use to help answer the question would be to -

1. Distribute a survey to a random selection of students and faculty asking about their snack preferences and likelihood to purchase snacks at basketball games.

2. Another option would be to set up a table with a variety of snacks at a game and record which snacks are purchased the most by attendees.

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Answer:

12?

Step-by-step explanation:

The exact forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:

Tuesday: 389.1

Wednesday: 368.7

Thursday: 326.5

Friday: 510.9

To forecast the number of customers served on each of the next five business days using Winters' method, we need to follow these steps:

Calculate the seasonal factor for each day by multiplying the seasonal index by the level.

Monday: 1.10 × 20 = 22

Tuesday: 0.95 × 20 = 19

Wednesday: 0.90 × 20 = 18

Thursday: 0.80 × 20 = 16

Friday: 1.25 × 20 = 25

Update the level and trend using the following formulas:

New Level = α × (Actual Value / Seasonal Factor) + (1 - α) × (Previous Level + Previous Trend)

New Trend = β × (New Level - Previous Level) + (1 - β) * Previous Trend

For Tuesday:

New Level = 0.2 × (30 / 22) + 0.8 × (20 + 1) = 20.3636

New Trend = 0.1 × (20.3636 - 20) + 0.9 × 1 = 0.0364

Forecast the number of customers served on each subsequent day using the formula:

Forecast = (New Level + Forecasted Trend) × Seasonal Factor

Tuesday Forecast = (20.3636 + 0.0364) × 19 = 389.0909

Wednesday Forecast = (20.3636 + 0.0364) × 18 = 368.7273

Thursday Forecast = (20.3636 + 0.0364) × 16 = 326.5455

Friday Forecast = (20.3636 + 0.0364) × 25 = 510.9091

Therefore, the forecasted number of customers to be served on each of the next five business days, rounded to one decimal place, are as follows:

Tuesday: 389.1

Wednesday: 368.7

Thursday: 326.5

Friday: 510.9

The question should be: A local bank is using Winters' method with α = 0.2, β= 0.1, and γ = 0.5 to forecast the number of customers served each day. The bank is open Monday through Friday. At the end of the previous week, the following seasonal indexes have been estimated: Monday, 1.10; Tuesday, 0.95; Wednesday, 0.90; Thursday, 0.80; Friday, 1.25. Also, the current estimates of level and trend are 20 and 1. After observing that 30 customers are served by the bank on this Monday, forecast the number of customers who will be served on each of the next five business days. Round your answers to one decimal place, if necessary.

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Answer:

C

Step-by-step explanation:

We can conclude that (5, -2, -3) is the vector that the linear 1-form acts on by taking a dot product.

To find the vector that the given linear 1-form acts on by taking a dot product, we need to express the linear 1-form in terms of a vector.

Let's start by writing the given linear 1-form in terms of differentials of the coordinate functions:

\(2dy-3 dz + 5 dx - 4 dy = 5 dx - 2 dy - 3 dz\)

We can recognize this expression as the dot product of a vector with components (5, -2, -3) with the differential of a general vector function (dx, dy, dz).

Therefore, the vector that the linear 1-form acts on by taking a dot product is simply (5, -2, -3).

To verify this, let's take the dot product of the given linear 1-form with the given vector V:

\((2 dy - 3 dz + 5 dx - 4 dy) * (it 3+ 4) = 5 dx * i + (-2 dy) * t + (-3 dz) * 1 = 5(1) + (-2)(3) + (-3)(4) = 5 - 6 - 12 = -13\)

Now let's take the dot product of the same vector with the vector (5, -2, -3):

\((it 3+ 4) * (5, -2, -3) = (3)(5) + (4)(-2) + (0)(-3) = 15 - 8 + 0 = 7\)

Since the dot product of the given linear 1-form with the vector V is equal to the dot product of the same vector with the vector (5, -2, -3), we can conclude that (5, -2, -3) is the vector that the linear 1-form acts on by taking a dot product.

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Answer: x=−1

Step-by-step explanation: Hope this help :D

Answer:

x=-1

Step-by-step explanation:

Why urgent?

See attachment for math work and answer.

I gave you two different answers for 2b.

The two pairs of Adjacent angles in the figure are:

∠1 and ∠3, ∠3 and ∠7.

The correct option is c.

In the given diagram with two intersecting lines and angles ∠1, ∠3, ∠5, and ∠7, the adjacent angle pairs are as follows:

Adjacent angles to ∠1:

∠1 and ∠5

∠1 and ∠3

Adjacent angles to ∠3:

∠3 and ∠1

∠3 and ∠7

Adjacent angles to ∠5:

∠5 and ∠1

∠5 and ∠7

Adjacent angles to ∠7:

∠7 and ∠3

∠7 and ∠5

Adjacent angles are angles that share a common side and a common vertex, where the vertex is the point of intersection between the two lines. In this case, the adjacent angle pairs can be identified based on their relationship to each angle (∠1, ∠3, ∠5, ∠7) and the intersecting lines.

from the given choices,

∠1 and ∠3, ∠3 and ∠7

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An assumption made about the value of a population parameter is called a hypothesis.

What is null hypothesis?

In inferential statistics, the null hypothesis is that 2 possibilities are an equivalent. The null hypothesis is that the determined distinction is because of likelihood alone. mistreatment applied mathematics tests, it's doable to calculate the chance that the null hypothesis is true.

Main Body:

As we need to make an assumption about population , it could be done by using a hypothesis test. so , the incorrect options are identified below:

The confidence, significance and normal curve cannot be used to make the assumptions about the value of a population parameter.

Hence , An assumption made about the value of a population parameter is called a hypothesis.

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Answer:

72.25 pi ft^2

Step-by-step explanation:

The circumference of a circle is

C = 2*pi*r

17 pi = 2*pi*r

Divide each side by 2pi

17 pi / 2pi = 2 pi r / 2pi

17/2 = r

We want to find the area

A = pi r^2

A = pi ( 17/2) ^2

A =289/4 pi  ft^2

A = 72.25 pi ft^2

The equation of the degree 6 polynomial with a root at 3, a double root at 2, and a triple root at -1, and y-intercept at y = 5 is given as follows:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

The zeros of the function, along with their multiplicities, are given as follows:

Then the linear factors of the function are given as follows:

The function is then defined as:

y = a(x - 3)(x - 2)²(x + 1)³.

In which a is the leading coefficient.

When x = 0, y = 5, due to the y-intercept, hence the leading coefficient a is obtained as follows:

5 = -12a

a = -5/12

Hence the polynomial is:

y = -5/12(x - 3)(x - 2)²(x + 1)³.

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Answer:

A

Step-by-step explanation:

49-45 = 4 wrong

4/49 = 0.08163

        = 8.16%

Answer:

A) 8.16

Step-by-step explanation:

1) Subtract 49-45

2) Divide 4/49 and multiply by 100

3) Then multiply by 100

Hope this helped

The height of the 10th bounce of the ball will be 0.6 feet.

A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.

The nth term of the geometric sequence is given by

\(\sf T_n=ar^{n-1}\)

Where,

According to the given question.

During the first bounce, height of the ball from the ground, a = 4.5 feet

And, the each successive bounce is 73% of the previous bounce's height.

So,

During the second bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 10\)

\(=\dfrac{73}{100}(10)\)

\(\sf = 0.73 \times 10\)

\(\sf = 7.3 \ feet\)

During the third bounce, the height of ball from the ground

\(\sf = 73\% \ of \ 7.3\)

\(=\dfrac{73}{100}(7.3)\)

\(\sf = 5.33 \ feet\)

Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...

And the common ratio of the geometric sequence is 0.73

Therefore,

The sixth term of the geometric sequence is given by

\(\sf T_{10}=10(0.73)^{10-1\)

\(\sf T_{10}=10(0.73)^{9\)

\(\sf T_{10}=10(0.059)\)

\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)

Hence, the height of the 10th bounce of the ball will be 0.6 feet.

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Answer:

The answer is C, In step 3......

Step-by-step explanation:

Answer:

The unit rate in this equation is 60 mph.

Answer:

1: 5 2: 13 3: sqr root of 15 4: 1 5: 1 6: 3

Step-by-step explanation:

Follow the formula a squared plus b squared equals c squared. C is always the longest side of the equation. So figure out your variables to fill in and in the end, square root your remaining answer.

Answer:

The answer is A

Step-by-step explanation:

-

The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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The answers to the subparts of the arithmetic sequence are shown:

So, the formula is: aₙ = 5 + 3 (n − 1)

So, 5th term or n = 5:

Similarly, the 9th term or n = 9:

Therefore, the answers to the subparts of the arithmetic sequence are shown:

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The correct question is given below:

Consider the arithmetic sequence an = 5 + 3 (n − 1)

a. What are the first 5 terms of the sequence?

b. What is the 9th term in the sequence?

The point F as described in the task content is at point; 0.6 on the number line.

Since it follows from.tge task content that; point D is at -3, and point E Is at 6, it follows that the length of segment, DE is; |-3-6| = 9.

Consequently, since the ratio of Df to FE ls 2:3

It follows that point F is at -3 + (2/5) × 9.

Point F is therefore at 0.6 on the number line.

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Answer:

19 sq cm

Step-by-step explanation:

2x2=4

2x3=6

1x3=3

2x3=6

6+6+4+3=19

The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

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Answer:

The sum will be positive because when using KCF ( keep change flip) the problem becomes 75-57 therefore the answer will be positive 18. hope this helps

So the value of the line integral given point scale is \(\frac{15}{16}\) -4cos6-6 .

To evaluate the line integral X signed by ideas oversee. Where C is the line segment from 2 to 36

First we find the vector determined by the two points

So ,

36 -2 = 34

Starting point is 2.

The segment can be para militarized as vitally equal to 2+3T+40 =3T 2+40 .

They belonging to close interval 0- one. Next we find the derivative of the Para militarism action y¹T= 34.

This implies the strength of y¹T = \(\sqrt{3^{2}+4^{2} }\)

= 5

Finally we calculate the integral X signed by ideas oversee which is equal to treaty sign 2+ 40×DT Over 0- one.

Now report 2+ 40 equal to you. So implies 4DT is equal to DU and when T is equal to zero.

20=U

So next this integral becomes 15×2 to 6 Juju -2 x 4.

Comes out to be 15 x 16. 0-2. Sign your deal. Now applying integration by parts.

We have 15 x 16. 0-2 cause you plus integration of causal deal Limit 2- 6.

Now we have 15/16. On applying the limits -4 cos six plus sign 6- sign too.

So therefore final answer becomes \(\frac{15}{16}\) -4cos6-6 .

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Answer: use the algebric condistional process

Step-by-step explanation: this is sample only

The required inequality that represents the given situation is 35+12C≥100.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to one another.

Both mathematical phrases, equations, and inequalities are created by connecting two expressions.

The equal sign (=) indicates that two expressions in an equation are believed to be equivalent.

The symbols >,<, ≥, ≤ or ≠ indicate that the two expressions in inequality are not always equal.

So, initial payment = $35

$12 in additional fees for each class

The minimum goal is $100.

There are C classes in total.

Minimum target: One-time starting charge + (Additional fee per class) x (Number of classes)

The scenario's inequality is as follows:

35  +  12C  ≥  100

Therefore, the required inequality that represents the given situation is 35+12C≥100.

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