Find the simple interest on a $3,219.00 principal, deposited for six years at a rate of 1.51%.

Main Answer: Marco is studying for an upcoming exam in his college algebra class. He should be aware that he should retrieve the information seven times before he stops studying it.

Supporting Explanation :According to the theory of the “Curve of Forgetting,” humans tend to forget around 50% of new information within the first hour. That’s why it’s important to review and study the same information multiple times in order to keep it in long-term memory. Retrieving information at least seven times can help to counteract the “Curve of Forgetting” and improve retention. Spacing out study sessions over a longer period of time also helps to increase retention and reduce the likelihood of forgetting. Thus, it is important for Marco to retrieve the information seven times before stopping to study.

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The absolute maximum value is 0, attained at (x, y) = (0, 0).

To find the absolute maximum value of the function

T(x, y) = 38xy - 24x^3 - 19y^2 on the closed square region 0 ≤ x ≤ 1, 0 ≤ y ≤ 1, we need to evaluate the function at the critical points and the endpoints of the region and compare the values.

First, let's find the critical points by taking the partial derivatives of T(x, y) with respect to x and y and setting them equal to zero:

∂T/∂x = 38y - 72x^2 = 0

∂T/∂y = 38x - 38y = 0

Solving these equations, we find two critical points: (x, y) = (0, 0) and (x, y) = (1, 1).

Next, let's evaluate the function at the endpoints of the region:

T(0, 0) = 0

T(1, 0) = -24

T(0, 1) = -19

T(1, 1) = -5

Comparing these values, we can see that the absolute maximum value of T(x, y) is 0, which is attained at (x, y) = (0, 0).

Therefore, the absolute maximum value is 0, attained at (x, y) = (0, 0).

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Answer:

non renewable you can't renew what you already bought and renewable you can renew what you bought

Answer:

yes

Step-by-step explanation:

Answer:

x = 16 and x = 15

Step-by-step explanation:

Given 2 chords intersecting then the product of the parts of one chord is equal to the product of the parts of the other chord.

(3)

7x = 14 × 8 = 112 ( divide both sides by 7 )

x = 16

(1)

8x = 12 × 10 = 120 ( divide both sides by 8 )

x = 15

Answer:

15.9

Step-by-step explanation:

A, O

Tan=O/A

Tan47=17/x

x=17/tan 47

let's move like the crab, backwards, let's get hmmm EF first

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{17}\\ a=\stackrel{adjacent}{10}\\ o=\stackrel{opposite}{EF} \end{cases} \\\\\\ EF=\sqrt{ 17^2 - 10^2}\implies EF=\sqrt{ 189 }\implies EF\approx 13.7 \\\\[-0.35em] ~\dotfill\)

\(\sin( F )=\cfrac{\stackrel{opposite}{10}}{\underset{hypotenuse}{17}} \implies \sin^{-1}(~~\sin( F )~~) =\sin^{-1}\left( \cfrac{10}{17} \right) \\\\\\ F =\sin^{-1}\left( \cfrac{10}{17} \right)\implies F \approx 36^o \\\\[-0.35em] ~\dotfill\\\\ \cos(D )=\cfrac{\stackrel{adjacent}{10}}{\underset{hypotenuse}{17}} \implies \cos^{-1}(~~\cos( D )~~) =\cos^{-1}\left( \cfrac{10}{17} \right) \\\\\\ D =\cos^{-1}\left( \cfrac{10}{17} \right)\implies D \approx 54^o\)

Make sure your calculator is in Degree mode.

Answer:

I think the width would be 150 yd

Step-by-step explanation:

just broke down the 210 yd we had already to inches found out how much it was scaled up and did the same on the other side

Answer:

1920 in³

Step-by-step explanation:

The volume of the water can be gotten by calculation the volume of the aquarium it fills/occupies.

Since the water fills to exactly three inches below the top of the  aquarium, hence the height of the water in the aquarium is given as:

height of water = 13 in - 3 in = 10 in

Therefore the volume of the water in the tank is given by the formula:

Volume of water = height of water * breadth of tank * length of tank

Volume of water = 10 in * 8 in * 24 in = 1920 in³

To test the claim that the different days of the week have the same frequencies of police calls, we can use a chi-squared goodness-of-fit test.

This test compares the observed frequencies with the expected frequencies under the assumption of equal frequencies for all days of the week.

To find the test statistic, we first calculate the expected frequencies by dividing the total number of calls (1454) equally among the seven days of the week.

The expected frequency for each day is approximately 1454/7 ≈ 207.7.

Next, we calculate the chi-squared statistic by summing the squared differences between the observed and expected frequencies, divided by the expected frequencies. The formula is:

χ² = Σ [(O - E)² / E]

Performing the calculations, we obtain a chi-squared statistic of approximately 11.56.

To find the p-value associated with this test statistic, we consult a chi-squared distribution table or use statistical software. With six degrees of freedom (seven days minus one), the p-value is found to be greater than 0.01, indicating that the data does not provide sufficient evidence to reject the null hypothesis.

The null hypothesis (H₀) states that the frequencies of police calls for each day of the week are the same. The alternative hypothesis (H₁) suggests that the frequencies differ across the days of the week.

Based on the test results and the significance level of 0.01, we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that the frequencies of police calls significantly differ across the days of the week.

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Altitude of jet is 274.6ft if it will make average of 3 degree angle of descent.

Given is that angle of decent is 3degree.

Ground distance to the airport is 5280.

angle of decent is also known as angle of elevation.

if we consider a triangle ABC ⊿  angle B as 90 degree.

A at left  and C at top.

angle A is known as angle of elevation we can use \(\theta\) for angle of elevation.

distance to the airport is known as base of the right angle triangle.

we have asked about the altitude of right-angle triangle.

altitude is known as the height in right angle triangle.

we know the tangent formula.

The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. To put it another way, it is the proportion of a sine to a cosine function at an acute angle such that the cosine function's value should not be zero.

tan\(\theta\) =  Altitude/Base

Altitude  = tan\(\theta\)* Base

= tan3 * 5280

= 0.052*5280

=274.6

So the altitude is 274.6ft

Given Question is incomplete complete Question here:

When landing, a jet will average a 3 degree  angle of descent. Find the altitude of a jet on final descent if its ground distance to the airport is 5280 /t

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Step-by-step explanation:

Hey there!

Here;

The given points are; (6,5) and (9,p).

Slope (m)= -4

Use slope formula;

\(m = \frac{y2 - y1}{x2 - x1} \)

Put all values.

\( - 4 = \frac{p - 5}{9 - 6} \)

Simplify it to get answer.

\( - 4 = \frac{p - 5}{3} \)

\( - 12 + 5 = p\)

Therefore, p= -7.

Hope it helps...

Step-by-step explanation:

you work with it like with regular equations :

-9 <= 5 + 2x <= -5

-14 <= 2x <= -10

-7 <= x <= -5

If Mirka is 5 years old, her parents start to give her pocket money of 50p per week , then the amount of pocket money does Mirka get in the first year is £26 .

the amount that Mirka gets per week is = 50p ;

Age of Mirka is = 5 years ;

When Mirka is 5 years old, she starts to receive 50p per week in pocket money. On her birthday, her parents increase her pocket money by 50p.

that means ;

So, for the first year, the pocket money will be 50p per week for 52 weeks (1 year),

Pocket money in the first year = 50p × 52 weeks = £26 .

Therefore , Mirka will get £26 in the first year of her birthday .

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To determine whether the series ∑(n=1 to infinity) 7n/n is convergent or divergent, we can apply the ratio test. The ratio test helps us determine the convergence or divergence of a series by examining the limit of the ratio of consecutive terms.

In this case, let's calculate the ratio of consecutive terms using the formula for the ratio test:

lim(n→∞) |(7(n+1)/(n+1))/((7n/n)|

Simplifying the expression, we get:

lim(n→∞) |7(n+1)/n|

As n approaches infinity, the limit evaluates to:

lim(n→∞) |7(n+1)/n| = 7

Since the limit is a finite positive value (7), which is less than 1, the ratio test tells us that the series is convergent.

However, you mentioned identifying an (term) in the series, and it seems there may be an incomplete part of the question. Please provide additional information or clarification about identifying an term in the series so that I can provide a more specific answer.

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Answer: do PEMDAS and the answer should be 17 I’m not 100%

Step-by-step explanation:

Answer:w

Step-by-step explanation:

Answer:

b i think.

Step-by-step explanation:

Answer: A.  Yes the geometric distribution  is  appropriate

Step-by-step explanation:

got it right on edge

Answer:

what you need help with

Step-by-step explanation:

Answer:

Just solve for x

2.9(x + 8) < 26.1

2.9x + 23.2 < 26.1

Subtract 23.2 from both sides

2.9x < 2.9

Divide 2.9 from both sides

x < 1

So it's the bottom choice. x is less than 1 has an open circle on 1 with an arrow pointing left.

Yes, it is possible to draw a right angled triangle with sides 1.5cm , 2cm , and 2.5cm.

As given in the question,

In the given triangle,

Measure of the side length of the given triangle are :

1.5cm , 2cm , and 2.5cm

In this triangle longest side is equal to 2.5cm.

Given triangle is right angled triangle check whether Pythagoras theorem satisfied the measure of the sides of the triangle.

Hypotenuse represents the longest side.

( Hypotenuse)² = ( Side 1 )² + ( Side 2)²

Right hand side

= ( 1.5 )² + ( 2 )²

= 2.25 + 4

= 6.25

= ( 2.5 )²

= Hypotenuse²

It satisfied the Pythagoras theorem.

Therefore, the given sides of the triangle represents it is a right angled triangle.

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sum of 3 numbers = 57

let

the numbers be x, y and z.

x + y + z = 57

let z be the largest and x be the smallest.

z - x = 47

x+y = 16

Answer:

0.6

Step-by-step explanation:

Brainliest please

Answer:

8f-3g-4

Step-by-step explanation:

hope this helps U0U

Answer: -8

Step-by-step explanation: 1/4 + 1/4 = 1/2, -8 1/2 + 1/2 = -8

The network representation of the given network flow problem is a directed graph with nodes representing sources, sinks, and intermediate points, and edges representing flow paths. The objective function value cannot be determined without the rest of the constraints.

To draw the network representation of the given problem, we need additional information about the constraints, such as the capacities of the edges, the supply and demand of nodes, and any other constraints related to flow.

The network representation consists of nodes and edges. Nodes represent the sources, sinks, and intermediate points in the problem, while edges represent the flow paths between nodes.

Each edge is assigned a variable (e.g., X12, X13, etc.) that represents the flow or quantity of flow on that edge. The objective function, in this case, is to minimize the sum of the products of the flow variables and their respective coefficients.

However, without information about the capacities, supply and demand, and other constraints, it is not possible to determine the value of the objective function.

In conclusion, the network representation of the problem can be drawn, but the value of the objective function cannot be determined without the additional constraints and information.

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The factor that does NOT control the stability of a slope is the angle of repose for intact bedrock. The angle of repose refers to the steepest angle at which a pile of loose material remains stable without sliding. It is mainly applicable to loose materials like soil and granular substances, not intact bedrock.

Bedrock stability depends on factors such as its strength, fracturing, and geological properties, rather than the angle of repose. Factors that control the stability of a slope include whether the slope is rock or soil. Rock slopes tend to be more stable than soil slopes due to the cohesive nature of intact rock.

The amount of water in the soil also affects slope stability, as excessive water can increase pore pressure and reduce the shear strength of the soil, leading to slope failure. Additionally, the orientation of fractures, cleavage, and bedding in the rock can influence slope stability by creating planes of weakness or strength.

To summarize, while the angle of repose is a significant factor in slope stability, it is not applicable to intact bedrock. The stability of a slope is influenced by the type of material (rock or soil), the presence of water, and the orientation of fractures and bedding.

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The expression that is equivalent to (y - 8) + 17 is (y + 17) - 8

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

(y - 8) + 17

Remove the brackets

So, we have

y - 8 + 17

Rewrite as

y + 17 - 8

Reintroduce the bracket

This gives

(y + 17) - 8

Hence, the expression is (y + 17) - 8

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Answer:

Step-by-step explanation:

Answer:

The intersection of the two intervals = 4, 5, 6,.......+∞ = (4, +∞)

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞ = (-3, +∞)

Step-by-step explanation:

The given intervals are;

First interval  = (-3, +∞)

Second interval  = (4, +∞)

Using the number line, we therefore, the first interval includes, -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞

The second interval includes, 4, 5,.....,+∞

Which gives the intersection as 4, 5, 6,.......+∞

The union is the interval that combines the two sets of intervals which is given as follows;

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞