Chandler has $30 in an account that earns 10% interest compounded annually. To the nearest cent, how much interest will he earn in 2 years?

Answer: 4(5y−2)=40

Divide both sides by 4.

5y−2=  

4

40

​

Divide 40 by 4 to get 10.

5y−2=10

Add 2 to both sides.

5y=10+2

Add 10 and 2 to get 12.

5y=12

Divide both sides by 5.

y= 12/5 or 2.4 please give brainliest

​

Step-by-step explanation:

The two stores at points A and C would serve the residents of Miniville, providing them access to essential goods and services, with residents in the middle mile having the flexibility to choose between the two stores.

If one store is located at point A and the other store is located at point C, it means that the stores are located at the extremes of the 3-mile stretch of Lake Shore Drive in Miniville. Point B would be the midpoint between points A and C.

Given that the 300 residents of Miniville are evenly distributed along the 3 miles of shoreline on the lake, it implies that there are approximately 100 residents per mile.

Therefore, the store located at point A would serve the residents living in the westernmost mile of Lake Shore Drive, while the store located at point C would serve the residents living in the easternmost mile of Lake Shore Drive.

The residents living in the middle mile, between points A and C, would have the option to shop at either store, depending on their preference or convenience.

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The z-score for the 75th percentile of the standard normal distribution is given by 0.67 that is option A.

The most significant continuous probability distribution is the Normal Distribution, often known as the Gaussian Distribution. It is also known as a bell curve. The normal distribution represents a large number of random variables either nearly or exactly.

I found one that shows the following:

Z value Table entry

0.67   0.7486

0.68   0.7517

As a result, the Z value for 0.75 is between 0.67 and 0.68.

Interpolation yields the z value of 0.6745.

If you have a TI-84 calculator, you may calculate the z value as follows:

VARS - 2nd (this will show the DISTR menu)

To select invNorm, press 3.

Enter the value for the area/table (0.75)

If you press enter, it will return the z value.

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Complete question:

what is the z-score for the 75th percentile of the standard normal distribution is:

The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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Answer:

25% off

Step-by-step explanation:

Answer: (pi) (6 squared)

Step-by-step explanation:

Hi, the base area of a cone is a circle, so, to answer this question we have to apply the next formula:

Area of a circle: (pi) radius^2

The diameter (d) of a circle is equal to: 2 radius

So:

D = 2r

Replacing with the value given:

12 =2r

12/2=r

radius= 6 inches

Back with the Area formula:

A = (pi) 6^2

Feel free to ask for more if needed or if you did not understand something.  

Answer:

B

Step-by-step explanation:

B is correct

Answer:

D

Step-by-step explanation:

308 in^2

The value of x and y are 5/6 and 8/5 respectively

Given the systems of equations

Solving the equations using the elimination method

12x + 15y = 34

-18x + 15y = 9

Subtract both expressions:

12x-(18x) = 34 - 9

12x+18x = 25

30x = 25

x = 5/6

Substitute x = 5/6 into equation 1 to have:

12x + 15y = 34

12(5/6) + 15y = 34

10 + 15y = 34

15y = 24

y = 8/5

Hence the value of x and y are 5/6 and 8/5 respectively

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The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.

c. Responsible, Accountable, Consult & Inform matrix

The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.

The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.

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Answer:

79 degrees

Step-by-step explanation:

180 - 101 = 79

Let us suppose that the farmer buys x cows, y pigs and z sheep. The total cost of cows, pigs, and sheep bought by the farmer is

10x + 3y + 0.5z.

The total number of cows, pigs, and sheep bought by the farmer is

x + y + z.

Given that the farmer spent exactly 100 and bought exactly 100 animals, we can write two equations as follows.

:\($10x + $3y + $0.5z = $100 ---(1)x + y + z = 100 ---(2).\)

Multiplying equation (2) by 10 on both sides, we get

:10x + 10y + 10z = 1000

Subtracting this equation from equation (1), we get

:7y + 9.5z = 500

The LHS of the equation

7y + 9.5z = 500

is an odd number. This means that either y or z has to be odd and the other even. If y is even, then z has to be odd and vice versa. However, both

3y and 0.5z

are integers.

The solutions are:

x =

52,

y = 8,

z = 40 ---(Option A)

or = 48,

y = 16,

z = 36

x = 44,

y = 24,

z = 32x

= 40,

y = 32

z = 28

The farmer buys 52 cows, 8 pigs, and 40 sheep.

Hence,

the answer is 52 cows, 8 pigs, and 40 sheep.

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Answer:

7/12

Imagine this:

you had a block set with 12 blocks in it

you built a tower with 5 blocks (5/12)

You have 7 blocks left (7/12)

5/12 + 7/12 = 12/12 = 1

4x+3=3x+13(Alternative interior angles)

4x-3x=13-3

x=10

Value of each angle=43 each

Answer:

Andrew wins the round.

Step-by-step explanation:

Seeing as red is negative and black is positive, that would make the equations as follows, in the order of Abby, Ashley, Andrew, and Anna.

\(-9+6 = -3\\7-8 = -1\\-4+4 = 0\\-8-3 = -11\)

Meaning that Andrew wins, as his sum is the highest.

Answer:

Pretty sure its Ashley, but I'm skeptical of it.

Step-by-step explanation:

-7 + 8 = 1

while all the others are negative numbers.

Answer:

Shelf A = $6 ;Shelf y = $4

Step-by-step explanation:

Let :

x = cost of items from shelf A

y = cost of items from shelf B

3x + 2y = 26 - - - - (1)

2x + 5y = 32 - - - - (11)

Using elimination method :

Multiply (1) by 2 and (11) by 3

6x + 4y = 52 - - - (111)

6x + 15y = 96 - - - (1V)

Subtract (1V) from (111)

-11y = - 44

y = 44/ 11 ; y = 4

Put y = 4 in (1)

3x + 2(4) = 26

3x + 8 = 26

3x = 26 - 8

3x = 18

x = 18 / 3

x = 6

You can use those variables specified to make symbolic relation between the cost and number of items. Then you can use any of the methods to solve the obtained system of equations.

The cost of items from shelf A is x = $6

The cost of items from shelf B is y = $4

Given that:

x represents the cost of an item from shelf A

y represents the cost of an item from shelf B

From given data, we have:

\(3 \times x + 2 \times y = \$26\\ 2 \times x + 5 \times y = \$32\)

Or, we get the system of equations as:

\(3x + 2y =26\\ 2x + 5y = 32\)

\(3x + 2y = 26\\ 2y = 26 - 3x\\ y = \dfrac{26-3x}{2} = 13 - 1.5x\)

Substituting this value of y in second equation, we get:

\(2x + 5y = 32\\ 2x + 5(13-1.5x) = 32\\ 2x - 7.5x + 65 = 32\\ -5.5x = -65 + 32\\ 5.5x = 33\\\\ x = \dfrac{33}{5.5}\\\\ x = 6\)

Using this value of x, we get:

\(y = 13 - 1.5x\\ y =13 - 1.5 \times 6\\ y = 13 - 9 = 4\)

Thus, we have:

The cost of items from shelf A is x = $6

The cost of items from shelf B is y = $4

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Pythagoras was an ancient Greek mathematician who founded the Pythagorean school of thought. The Pythagorean theorem is a fundamental concept in mathematics that is attributed to Pythagoras and his followers.

It states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. While this theorem is considered a cornerstone of mathematics today, it is important to understand that Pythagoras did not have access to the advanced mathematical tools and methods that we have today.

He had to rely on geometric constructions and reasoning to prove his theorem. Furthermore, Pythagoras believed that all numbers could be expressed as ratios of whole numbers, which is not always true in reality. Despite these limitations, the Pythagorean theorem has stood the test of time and continues to be a crucial tool in mathematics and other fields.

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Answer:

\(y= \frac{-5}{4}x -4\)

Step-by-step explanation:

using pt-slope form, we get  \(y - (-9) = \frac{-5}{4}(x-4)\). Using the Distributive Property and Addition Propert of Equality, we can simplify this equation into \(y = \frac{-5}{4}x + 5\) by factoring -5/4 into (x-4) and subtracting 9 from both sides.

Answer:

x² - 4x - 8

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

(-3 + 4x² - 4x) + (-1 - 3x² - 4)

Step 2: Simplify

Answer:

By adding the gravity of the earth ang subtracting the number of the enumeration and multiply the square root of need to be the first divorcee you know that I love ckicen nuggets

Step-by-step explanation:

Me to mama o sige na kain na kau

-14n⁴ + 7n² + 8n + 7

Step-by-step explanation:

(8n - 3n⁴ + 10n²) - (3n² + 11n⁴ - 7)

= 8n - 3n⁴ + 10n² - 3n² - 11n⁴ + 7

= -3n⁴ - 11n⁴ + 10n² - 3n² + 8n + 7

= -14n⁴ + 7n² + 8n + 7

Gordon Driving School's net capital spending for 2012 was $0.125 million. To calculate the net capital spending, we determine the change in net fixed assets and subtract the depreciation expense.

To calculate the net capital spending for Gordon Driving School in 2012, we need to determine the change in net fixed assets and account for depreciation expense.

Net capital spending represents the net investment in fixed assets during a specific period.

Given that the net fixed assets in 2011 were $1.42 million and in 2012 were $1.69 million, we can calculate the change in net fixed assets:

Change in net fixed assets = Net fixed assets in 2012 - Net fixed assets in 2011

                         = $1.69 million - $1.42 million

                         = $0.27 million

Next, we need to consider the depreciation expense for 2012, which was $145,000.

Depreciation expense represents the allocation of the cost of assets over their useful life.

To calculate the net capital spending, we subtract the depreciation expense from the change in net fixed assets:

Net capital spending = Change in net fixed assets - Depreciation expense

                   = $0.27 million - $145,000

                   = $0.125 million

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Answer:

19 tables = $201

t tables = 9t+30

Step-by-step explanation:

the slope would be 9 because she gets $9 for each table (t), 30 would be the y-intercept because she will always get that amount each week.

Insert 19 to equation:

y(t) = 9(19) + 30

Solve:

201

Hope this helped :)

Answer:

answer is a . x²-8x+16=32

x²-8x=32-16

Using the test statistic, at the 0.05 level of significance, we do not find sufficient evidence to support the political scientist's claim and hence reject the null hypothesis.

To determine whether there is enough evidence to support the political scientist's claim that the proportion of college students interested in their district's election results is more than 65%, we can perform a hypothesis test using the given data.

Let's set up the null and alternative hypotheses:

H₀: p ≤ 0.65 (Null hypothesis: The proportion of college students interested in election results is 65% or less)

Ha: p > 0.65 (Alternative hypothesis: The proportion of college students interested in election results is more than 65%)

We are given that the sample size is 265 college students, and out of this sample, 180 students say they're interested in their district's election results.

To perform the hypothesis test, we'll calculate the test statistic, which is the z-statistic in this case, using the formula:

z = (p - p₀) / √(p₀(1-p₀)/n)

Where p is the sample proportion, p₀ is the hypothesized proportion under the null hypothesis, and n is the sample size.

Let's calculate the sample proportion:

p = 180 / 265 ≈ 0.679

Now, we can calculate the test statistic:

z = (0.679 - 0.65) / √(0.65(1-0.65)/265) ≈ 1.295

Next, we'll compare the test statistic with the critical z-value at a 0.05 level of significance (α = 0.05) for a one-tailed test.

Using a standard normal distribution table or a statistical calculator, the critical z-value at α = 0.05 is approximately 1.645.

Since the test statistic (1.295) does not exceed the critical z-value (1.645), we fail to reject the null hypothesis. In other words, we do not have enough evidence to support the political scientist's claim that the proportion of college students interested in their district's election results is more than 65% based on this sample.

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Evaluating the expression 4n² - 11n - 16 for n = 7 is 103 and for n = -3 is 53

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

To find the value of 4n² - 11n - 16, we have to find the value of n from the equation n(n - 4) = 21

n(n - 4) = 21

n² - 4n = 21

n² - 4n - 21 = 0

The value of n = 7 or -3

Substituting the values of n into the expression and evaluating

4n² - 11n - 16;

for n = 7

4(7)² - 11(7) - 16 = 103

When n = -3

4(-3)² - 11(-3) - 16 = 53

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Answer:

2.5 Tons to lb

1 ton = 2,000 lb

2.5 tons x 2000 lb = 5,000 lb

Answer:

She was thinking of it as normal multiplication like 10 x 4 = 40. but the real answer is 10,000

Step-by-step explanation:

Answer: A

Step by step