Help and show the work please

A savings account is a type of account offered by financial institutions that allow individuals to deposit money and earn interest on the amount deposited.

In Joseph's case, his savings account accrues 2.2% interest each year and has a startup fee of $25.
To represent this situation mathematically, we use two functions: f(t) and s(x). The function f(t) represents the growth of the account over time and is given by f(t) = 1.022t.

This function multiplies the current amount of money in the account by 1.022 for each year the account is open, representing the 2.2% interest rate.

The function s(x) represents the initial amount of money in the account and subtracts the startup fee of $25. This function is given by s(x) = x - 25.

To find the function that represents the amount of money in Joseph's savings account after t years, we need to compose these two functions. We start by evaluating f(t) to get the amount of money in the account after t years, then plug that value into s(x) to subtract the startup fee.

Therefore, the function that represents the amount of money in Joseph's savings account after t years is s(f(t)) = (1.022t) - 25.

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Given that sin(x) = -5/13 and the condition is to provide the answer without using sin, cos, or tan, I assume you are looking for the value of cos(x).

We can use the Pythagorean identity: sin²(x) + cos²(x) = 1

Substitute the given value of sin(x):
(-5/13)² + cos²(x) = 1

Solve for cos²(x):
cos²(x) = 1 - (-5/13)²

cos²(x) = 1 - (25/169)

Now find the common denominator (169) and subtract:
cos²(x) = (169/169) - (25/169)

cos²(x) = 144/169

Since we need the value of cos(x), we take the square root of both sides:
cos(x) = ±√(144/169)

cos(x) = ±12/13

Since the value of sin(x) is negative, we are in the third or fourth quadrant, where the cosine is also negative. Therefore, we choose the negative value for cos(x):

cos(x) = -12/13

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Answer:

-0.5x^3+700x^2-1,200x+500

Step-by-step explanation:

I answered it correctly

The profit function is equal to 0.5x³+700x²-1200x+500

COST PRICE  is the amount in which seller buys

Selling Price is the amount in which the consumer buys from the seller

Profit is the toal income earned after the investment.

C(x)=100x²+500x

R(x)=-0.5x³+800x²-700x+500

P(x)=R(x)-C(x)

      = -0.5x³+800x²-700x+500-100x²-500x

      =-0.5x³+700x²-1200x+500

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Heritability is a statistic that quantifies the proportion of observed variance in a group of individuals that can be attributed to genetic variance.

Heritability is a fundamental concept in genetics and behavioral sciences that helps understand the extent to which genetic factors contribute to observed variations in a particular trait within a population. It measures the proportion of phenotypic variation (differences in traits) that can be explained by genetic variation. Heritability estimates range from 0 to 1, where a value of 0 indicates that all observed variation is due to environmental factors, and a value of 1 suggests that all observed variation is due to genetic factors.

To calculate heritability, researchers typically study populations with varying degrees of genetic relatedness, such as twins or family members. By comparing the similarity of traits between individuals with known genetic relatedness, it is possible to estimate the contribution of genetic factors to the observed variance. Environmental factors that contribute to phenotypic variation are considered as part of the non-genetic or "environmental" component.

It is important to note that heritability estimates are population-specific and apply only to the particular group being studied. Additionally, heritability does not provide information about specific genes or the precise mechanisms by which genetic factors influence traits. Nonetheless, heritability serves as a valuable tool in understanding the relative importance of genetic and environmental factors in shaping individual differences within a population.

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You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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Answer:

Graph A passes THrough the Center making it proportional when graph B is not passing

Step-by-step explanation:

Answer:

that is y

Step-by-step explanation:

Graph A is proportional because it runs thru the origin while the other doesn't

The minimum sample size required to estimate an unknown population mean is 148. So, the correct option is D) 148.

To find the minimum sample size required to estimate an unknown population mean with 90% confidence, within 3.4 lb of the population mean, and a population standard deviation of 25 lb, follow these steps:

1. Identify the given values:
  - Confidence level = 90%
  - Margin of error (E) = 3.4 lb
  - Population standard deviation (σ) = 25 lb

2. Find the corresponding z-score for the 90% confidence level. Using a standard normal distribution table or calculator, the z-score is 1.645.

3. Use the formula to find the sample size (n):

  n = (z * σ / E)^2
  n = (1.645 * 25 / 3.4)^2

4. Calculate the sample size:

  n ≈ 147.267

Since we cannot have a fraction of a person, round up to the nearest whole number to ensure the required confidence level.

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Answer:

False. This is not a function.

Step-by-step explanation:

By using the vertical line test, it shows that this graph is not a function. The imaginary vertical line would go through the graph twice. To be a function, the imaginary vertical line can only go through once.

The probability that the transistor will last between 12 and 24 weeks is 0.424

X= lifetime of the transistor in weeks E(X)= 24 weeks

O,= 12 weeks

The anticipated value, variance, and distribution of the random variable X were all provided to us. Finding the parameters alpha and beta is necessary before we can discover the solutions to the difficulties.

X~gamma(\(\alpha ,\beta\))

E(X)= \(\alpha \beta\)                 \(\beta\)= \(12^{2}/24\)=6 weeks

V(x)= \(\alpha \beta ^{2}\)                \(\alpha\)=24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X, \(\alpha\), \(\beta\), False)

P(\(12\leq X\leq 24\))

P(\(12/6\leq G\leq 24/6\))

P(\(2\leq G\leq 4\))

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

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Answer:

Step-by-step explanation:

0.424 is the probability that the transistor will last between 12 and 24 weeks.

X= lifetime of the transistor in weeks E(X)= 24 weeks

Standard deviation= 12 weeks

Finding the parameters alpha and beta X~gamma(αβ)

E(X)= αβ             β =6 weeks

V(x)=αβ^2           α =24/6= 4

Now we can find the solutions:

The excel formula used to create Figure one is as follows:

=gammadist(X,α,β,False)

P(12≤X≤24)

P(12/6≤G≤24/6)

P= 0.424

Therefore, probability that the transistor will last between 12 and 24 weeks is 0.424

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The distribution for X is a negative binomial distribution, denoted as nb(x;6, 188​), with parameters r = 6 (number of successes), p = 8/18 (probability of success in each trial).

To compute the probabilities:

P(X = 2): nb(2;6, 8/18)

P(X ≤ 2): nb(0;6, 8/18) + nb(1;6, 8/18) + nb(2;6, 8/18)

P(X ≥ 2): 1 - P(X < 2) = 1 - P(X ≤ 1)

To calculate the mean value and standard deviation of X:

Mean (μ) = r * (1 - p) / p

Standard Deviation (σ) = sqrt(r * (1 - p) / (p^2))

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The equation that represents the situation is 2(x+17/4+x) = 249/2 where x is the width, the width of the postage stamp is 29 millimeters and its length is 33.25 millimeters.

According to the question,

We have the following information:

The length of a postage stamp is \(4\frac{1}{4}\) millimeters longer than its width. The perimeter of the stamp is \(124\frac{1}{2}\) millimeters.

Now, let's take the width of the stamp to be x millimeters.

Length of the stamp = x + 17/4

(We have the converted the fractions from the mixed fraction.)

Now, we have the following expression because the stamp is in the shape of a rectangle:

2(length+width) = 249/2

a) 2(x+17/4+x) = 249/2

b) 2(2x+17/4) = 249/2

Dividing by 2 on both sides of the equation:

2x+17/4 = 249/2*2

2x+17/4 = 249/4

Subtracting 17/4 from both sides of the equation:

2x = 249/4 - 17/4

2x = 232/4

Dividing by 2 on both sides:

x = 232/(4*2)

x = 116/4

x = 29 millimeters

c) Length of the stamp = 29+17/4

Length = (116+17)/4

Length = 133/4

Length = 33.25 millimeters

Hence, the equation that represents the situation is 2(x+17/4+x) = 249/2 where x is the width, the width of the postage stamp is 29 millimeters and its length is 33.25 millimeters.

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The measure of one interior angle of the decagon is 144 degrees

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

The decagon

The sum of interior angles of a polygon is calculated as

Sum = 180 * (n - 2)

Where

n = number of sides

In a decagon, we have

n = 10

This means that

Sum = 180 * (10 - 2)

When evaluated, we have

Sum = 1440

The measure of one interior angle of the decagon is then calculated as

One interior angle = 1440/10

Evaluate

One interior angle = 144

Hence, the measure of one interior angle of the decagon is 144 degrees

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Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

Max is 9 feet above Brett.

Step-by-step explanation:

If you subtract how far Max is below the surface to how far Brett is below the surface you find the difference of how much more above Brett Max is.

This would be the mathematical process:

34-25=9

Max is 9 feet above Brett.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that Brett is 34 feet below the surface and Max is 25 feet below the surface.

Max is more than twice as deep below the surface as Brett,

Thus we can determine this difference by subtracting Max's depth from Brett's.

The mathematical solution would be as follows:

⇒ 34 - 25

⇒ 9

Hence, Max is 9 feet above Brett.

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To solve a differential equation with exponential equations, start by isolating the dependent variable and any coefficients that may exist on either side of the equation. Next, take the natural logarithm of both sides of the equation and use the properties of logarithms to simplify the equation. Solve for the dependent variable. Finally, take the exponential of both sides of the equation and simplify it to get the solution.

For example, consider the differential equation dy/dx = 2y.

Isolate the dependent variable to get y = dx/2.

Then, take the natural logarithm of both sides to get ln(y) = ln(dx/2).

Use the property ln(a/b) = ln(a) - ln(b) to get ln(y) = ln(dx) - ln(2).

Solve for ln(y) to get ln(y) = ln(dx) - ln(2).

Then, take the exponential of both sides to get \(y = e^{ln(dx) - ln(2)}\) and simplify to get the solution \(y = (dx/2) e^{ln(dx)}\).

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Answer:

-4t-11

Step-by-step explanation:

rearrange the numbers

2t-6t-9+2

Add negative 2

2t-6t-11

2-6

-4t-11

Answer:

-0.7

Step-by-step explanation:

Given x - y = 0.7

We will assign x and y random values that has a difference of 0.7

x = 1.3

y = 0.6

Using these 2 values,

y-x = 0.6-1.3

= -0.7

As you can see here , you will get a reversed value when you reverse the expression.

The volume of the solid is 29.865 cubic units.

We have,

To find the volume of the solid generated by revolving region R around the line y = 6, we can use the method of cylindrical shells.

The volume of the solid can be obtained by integrating the area of each cylindrical shell.

Each shell is formed by taking a thin vertical strip of width dx from region R and rotating it around the line y = 6.

Let's denote the radius of each cylindrical shell as r(x), where r(x) is the distance from the line y = 6 to the curve y = 2tan(\(x^5\)).

Since the shell is formed by revolving the strip around y = 6, the radius of the shell is given by r(x) = 6 - 2tan(\(x^5\)).

The height of each cylindrical shell is the difference in x-values between the curve y = 5 - x and the y-axis, which is given by h(x) = x.

The differential volume of each cylindrical shell is given by:

dV = 2π x r(x) x h(x) x dx.

To find the total volume of the solid, we integrate the differential volume over the interval where region R exists, which is determined by the intersection of the curves y = 2tan(\(x^5\)) and y = 5 - x.

The volume V is given by the integral:

V = ∫[a,b] 2π x (6 - 2tan(\(x^5\))) x dx

Setting the two equations equal to each other, we have:

2tan(\(x^5\)) = 5 -x

Let's use numerical approximation to find the intersection points.

Using a numerical solver, we find that one intersection point is approximately x ≈ 1.051.

Now, we can set up the integral to find the volume of the solid:

V = ∫[a,b] 2π  (6 - 2tan(\(x^5\))) x dx

Since we are revolving around the line y = 6, the limits of integration will be from x = 0 to x = 1.051.

V = ∫[0,1.051] 2π  (6 - 2tan(\(x^5\))) x dx

The integral does not have an elementary antiderivative, so we cannot find the exact value of the integral.

However, we can still approximate the value using numerical methods or software.

Using numerical approximation methods, the volume is approximately V ≈ 29.865 cubic units.

Thus,

The volume of the solid is 29.865 cubic units.

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Answer:

7(x+y)^2-4(x+y)-3 = 7x^2+7*2xy+7y^2-4x-4y-3 = 7x^2 + 14xy + 7y^2 - 4x - 4y -3

Step-by-step explanations

use the equality constant and multiply the distribution

The ERD for the described situation would include entities such as county jails, mental health facilities, shelters, hospitals, and a coordinating database. Relationships between these entities would allow for coordination and prediction of the type of assistance individuals may need to reduce their involvement in the justice system.

The ERD for the Miami-Dade County court system's database would include the following entities:

County Jails: Represents the jails within the county system where individuals may be incarcerated.

Mental Health Facilities: Represents the facilities that provide mental health services and support.

Shelters: Represents the shelters that offer temporary housing and assistance to those in need.

Hospitals: Represents the healthcare institutions where individuals receive medical treatment.

Coordinating Database: Represents the central database that coordinates activities and stores information from all the other entities.

The relationships between these entities would be established through appropriate connections:

County Jails to Coordinating Database: This relationship would allow for the exchange of information about individuals in the jail system, including their personal history and involvement in the justice system.

Mental Health Facilities to Coordinating Database: This relationship would facilitate the sharing of information regarding individuals' mental health needs and treatment plans.

Shelters to Coordinating Database: This relationship would enable the coordination of housing services and assistance programs for individuals in the justice system.

Hospitals to Coordinating Database: This relationship would allow for the integration of medical records and healthcare services for individuals involved in the justice system.

These relationships and the information stored in the coordinating database would serve as the foundation for algorithms to predict the type of help individuals might require to reduce their involvement in the justice system.

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Answer: pp

Step-by-step explanation:

A hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. The statement that is true is, a hypothesis can be differentiated from a theory because it is a specific prediction arising from the theory. A hypothesis is a suggested explanation of a phenomenon or observed data that is testable.

Hypotheses are more detailed, and are written to explain precisely what you think is going to occur in your research and the reason for that prediction. A hypothesis will be rejected if it does not fit the data, whereas a theory will be modified to fit the data.

A hypothesis is more like a forecast, and a theory is more like a law that explains how certain events operate. Thus, we can conclude that a hypothesis is a specific prediction arising from the theory.

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Answer:

Answer: Density = 0.5 g/cm³

Explanation: Density is the ratio of mass per unit volume or D = m/V

D = m/V

= 6 g / 12 cm³

= 0.5 g / cm³

Answer:

A.) median; 1.5

Step-by-step explanation:

Hello!

The median is the number that is in the middle when the numbers are listed from least to greatest

0, 0, 1, 1, 2, 2, 2, 14

We can take one from both sides till there are one or two numbers left

0, 1, 1, 2, 2, 2

1, 1, 2, 2

1, 2

If there are two numbers left we add them then divide by 2 to get the median

1 + 2 = 3

3 / 2 = 1.5

The answer is A.) median; 1.5

Hope this helps!

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

Standard deviation is defined as the square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

The table shows the number of goals made by two hockey players.

Player A:

2, 3, 1, 3, 2, 2, 1, 3, 6

Using  a statistics calculator, we have:

Mean = 2.56

S.D. = 1.51

Player B:

1, 4, 5, 1, 2, 4, 5, 5, 11

S.D. = 3.03

The best measure of variability is the standard deviation.

Player A is the most consistent, with an IQR of 1.5.

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To calculate the rate of commission charged by the bank in London, Ontario, we can compare the buying rate and the exchange rate for the Swiss Franc (CHF) to Canadian Dollar (C$) currency pair. By finding the difference between the buying rate and the exchange rate as a percentage of the exchange rate, we can determine the rate of commission.

The rate of commission charged by the bank can be calculated using the following formula:

Commission Rate = \(\(\left(\frac{{Exchange\ Rate - Buying\ Rate}}{{Exchange\ Rate}}\right) \times 100\%\)\)

In this case, the buying rate is CHF1 = C$1.2927, and the exchange rate is CHF1 = C$1.3221.

Substituting the values into the formula, we can calculate the rate of commission:

Commission Rate =\(\(\left(\frac{{1.3221 - 1.2927}}{{1.3221}}\right) \times 100\% \approx 2.23\%\)\)

Therefore, the rate of commission charged by the bank in London, Ontario, is approximately 2.23%.

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In graphs, The minutes are shown on the x axis. The water depth is shown on the y axis (inches) Therefore, the depth of the water lowers with increasing minutes. Consequently, there is a change in water depth every minute

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

The graph shows the depth of water in a bathtub as water drains out.

The graph shows that as the value of x increases, the value of y decreases.

The minutes are shown on the x axis.

The water depth is shown on the y axis (inches)

Therefore, the depth of the water lowers with increasing minutes.

Consequently, there is a change in water depth every minute.

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The amperage for the given circuit is approximately 2.744 Amperes.

To calculate the amperage (current) for a circuit, we can use Ohm's Law, which states that the current (I) is equal to the voltage (V) divided by the resistance (R).

Given:

Voltage (V) = 277 V

Resistance (R) = 100.959 Ohms

Using Ohm's Law, we can calculate the amperage as follows:

Amperage (I) = Voltage (V) / Resistance (R)

I = 277 V / 100.959 Ohms

I ≈ 2.744 Amperes (rounded to three decimal places)

Therefore, the amperage for the given circuit is approximately 2.744 Amperes.

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Answer:

a = 64

Step-by-step explanation:

The geometric mean of 2 numbers a and b is \(\sqrt{ab}\) , then

\(\sqrt{28a}\) = 16\(\sqrt{7}\) ( square both sides )

28a = (16\(\sqrt{7}\) )² = 1792 ( divide both sides by 28 )

a = 64

Answer:

a = 64

Step-by-step explanation:

The geometric mean for two numbers is given by :

GM = sqrt(ab)

16 sqrt(7) = sqrt(a*28)

Square each side

(16 sqrt(7))^2 = (sqrt(a*28))^2

256*7 = 28a

1792 = 28a

Divide each side by 28

1792/28 = 28a/28

64 = a