Determine whether the function is an example of exponential growth or exponential decay then find the y-intercept y=8 (2/7)^x

Answer:

p=$15000

R=15%

t=5years

compound amount CI=?

Step-by-step explanation:

we have

The total amount of $15,000 at 15% compounded annually for 5 years will be $30,170.36 so option (B) is correct.

Compound interest is applicable when there will be a change in principle amount after the given time period.

The rate at which compound interest accrues depends on the frequency of compounding.

For instance, if you offer someone $500 at a rate of 10% annually, $500 will be considered your principal sum. After a year, the interest will be $50, making the principle amount $550. Moving forward, the interest will be $550 rather than $500.

Given

Principle amount = $15000

Rate of interest = 15%

The time period T = 5 years.

Compound interest formula

A = P  \([ 1 + R/100 ]^{T}\)

A = 15000 \([ 1 + 15/100 ]^{5}\)

A = $30,170.36 hence, the total amount after 5 year will be $30,170.36.

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Answer:

Step-by-step explanation:

Answer:

1=27

2=34

Step-by-step explanation:

1)9y power 2÷3

or, y=9 power 2÷3

or, y=9×9÷3

or, y=81÷3

or, y=27

2) (8x power 2+4x)÷2

=(8x×8+4x)÷2

=(64x+4x)÷2

=68x÷2

or, x=68÷2

or, x=34

a) Normal density curve for the distribution of heights of women aged 18 to 24 is illustrated below.

b) We can conclude that about 84.13% of women these ages have a height less than 67 inches.

c) We can conclude that about 15.87% of women these ages have a height greater than 62 inches.

d) We can conclude that only about 0.13% of women these ages have a height greater than 72 inches, which is a very small percentage.

To sketch a Normal density curve for this distribution, we can start by drawing a horizontal axis representing the range of possible heights, say from 55 inches to 75 inches.

To find the percentage of women aged 18 to 24 with a height less than 67 inches, we first convert 67 inches to a z-score:

=> z = (67 - 64.5) / 2.5 = 1.

Then we look up the area to the left of z = 1 on a standard Normal table or using a calculator, which is approximately 0.8413 or 84.13%.

Similarly, to find the percentage of women aged 18 to 24 with a height greater than 62 inches, we convert 62 inches to a z-score:

=> z = (62 - 64.5) / 2.5 = -1.

Then we look up the area to the right of z = -1 on a standard Normal table or using a calculator, which is also approximately 0.8413 or 84.13%.

However, since we want the percentage of women with a height greater than 62 inches, we need to subtract this area from 1 to get the area to the right of z = -1, which is approximately 1 - 0.8413 = 0.1587 or 15.87%.

Finally, to find the percentage of women aged 18 to 24 with a height greater than 72 inches, we convert 72 inches to a z-score: z = (72 - 64.5) / 2.5 = 3. Then we look up the area to the right of z = 3 on a standard Normal table or using a calculator, which is approximately 0.0013 or 0.13%.

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Answer:

The product equality property allows an equation in one variable to be written as a system of equations

Step-by-step explanation:

We can express an equation in one variable as follows;

f(x) = g(x)

The properties of equality of products allows us to write an equation in one variable into a system of equations as follows;

(x - 3)×(x + 2) = 0

The zero product property gives;

x- 3 = 0 or x + 2 = 0

Also we have;

Product of two negatives = positive

Therefore when (x - 2)² = 25

x - 2 = ±5.

Answer:

Substitution property

Step-by-step explanation:

Answer:

45degree

Step-by-step explanation:

hopes it help you

Let us consider x be one of the two equal complementary angles.

x + x = 90o

2x = 90o

2x = 45o

∴ 45o is equal to its complement.

The alternate hypothesis H1: μ ≠ 48 is a two-tailed hypothesis.

In a two-tailed hypothesis, the alternative hypothesis states that the population parameter (in this case, the mean) is not equal to a specific value. It allows for the possibility of a significant difference in either direction from the specified value. The rejection region is divided into two tails, one for each extreme of the distribution. The hypothesis test will determine whether the observed sample data falls within either tail, indicating a significant difference from the specified value.

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The correct answer is 3 × 10⁰ , is the quotient.

Here, we have,

To find a quotient, we need to divide the two numbers.

The equation given to us is :

21×10⁻²¹/ 7×10⁻²¹

To Simplify the above equation and finding out the quotient, we need to divide the above equation, we get:

21×10⁻²¹/ 7×10⁻²¹

= 21/7 ×10⁻²¹ / 10⁻²¹

Taking the reciprocal of the denominator and multiplying it with the numerator, we get:

=21/7 × 10⁽⁻²¹⁺²¹⁾

=21/7 × 10⁰

=3 × 10⁰

Hence, the correct answer is 3 × 10⁰ is the quotient .

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Answer: Hi I'm Jimin!

English: 5(x-2)

Step-by-step explanation:

Answer:

5(x-2)

Step-by-step explanation:

5x-10 turns into 5(x-2)

Answer:

30

Step-by-step explanation:

490= 400 + 3x

3x=90

x=30

Answer:

-17

Step-by-step explanation:

Factor the polynomial.

-17

Answer:

x - y = 0

Step-by-step explanation:

When y = x is written in standard form, it equals x - y = 0

0 + y = x

   - y   - y

0 = x - y

If this answer is correct, please make me Brainliest!

Answer: It's the third down. (-1/-2) - PLEASE TAKE THIS WITH A GRAIN OF SALT. I'm not very good at this type of math.

Step-by-step explanation:

Answer:

D) no solutions :D

1. Converting 8-bit binary expansion to a decimal expansion: The binary number 1100 0110 can be broken down into 2 binary numbers: 1100 and 0110. Then, each of these binary numbers can be converted to decimal separately, and combined to get the decimal expansion. 1100 = 1 × 2^3 + 1 × 2^2 + 0 × 2^1 + 0 × 2^0 = 12, 0110 = 0 × 2^3 + 1 × 2^2 + 1 × 2^1 + 0 × 2^0 = 6.

Therefore, 1100 0110 in binary is equal to 12 + 6 = 18 in decimal. 2. Converting decimal expansion to 8-bit binary expansion: We can use the division-by-2 method to convert decimal to binary. Dividing 109 by 2, we get: 109 ÷ 2 = 54 remainder 1 Then, we divide 54 by 2: 54 ÷ 2 = 27 remainder 0 Continuing with this process, we get the binary number as follows: 109 = 0110 1101.

We need to add 3 leading zeros to make it 8-bit binary number: 0001 1011 Therefore, 109 in decimal is equal to 0001 1011 in 8-bit binary.3. Converting hexadecimal expansion to octal expansion: To convert hexadecimal to octal, we need to convert hexadecimal to binary first, and then binary to octal.

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The correct order of a good investment strategy is as follows:

1. Set goals: Identify your investment goals and determine your risk tolerance.
2. Analyze investment options: Research and analyze various investment options that align with your goals and risk tolerance.
3. Make a plan: Develop a comprehensive investment plan that outlines your goals, investment options, and investment timeline.
4. Choose an advisor or a broker: Select a qualified advisor or broker who can assist you with implementing your investment plan and provide guidance along the way.
5. Diversify the portfolio: Diversify your portfolio by investing in a mix of different asset classes, such as stocks, bonds, and real estate, to reduce risk.
6. Analyze the performance of the portfolio: Monitor the performance of your portfolio on a regular basis to ensure it is meeting your goals and making necessary adjustments.
7. Revisit, rebalance and plan: Review your investment plan and portfolio periodically and rebalance your portfolio as needed to ensure it remains aligned with your goals and risk tolerance.

A good investment strategy involves a series of steps that must be followed in the correct order to ensure that your investment portfolio is aligned with your goals and risk tolerance.

The first step is to set goals. This involves identifying your investment goals and determining your risk tolerance. For example, if you are saving for retirement, you may have a longer investment timeline and be willing to take on more risk to achieve higher returns.

The next step is to analyze investment options. You should research and analyze various investment options, such as stocks, bonds, and real estate, to determine which ones align with your goals and risk tolerance. This will also help you to determine how much of your portfolio should be allocated to each asset class.

Once you have identified your investment options, the next step is to make a plan. This involves developing a comprehensive investment plan that outlines your goals, investment options, and investment timeline. Your plan should also include a contingency plan in case of unexpected events, such as job loss or a recession.

The fourth step is to choose an advisor or a broker. You should select a qualified advisor or broker who can assist you with implementing your investment plan and provide guidance along the way. This is particularly important if you are new to investing or if you are investing a significant amount of money.

The next step is to diversify your portfolio. This involves investing in a mix of different asset classes, such as stocks, bonds, and real estate, to reduce risk. Diversification can help to mitigate the impact of market volatility on your portfolio.

Once your portfolio is diversified, the next step is to analyze the performance of the portfolio. You should monitor the performance of your portfolio on a regular basis to ensure it is meeting your goals and making necessary adjustments. This may involve rebalancing your portfolio to ensure it remains aligned with your goals and risk tolerance.

Finally, you should revisit your investment plan and portfolio periodically to ensure that they remain aligned with your goals and risk tolerance. This may involve making adjustments to your investment plan or rebalancing your portfolio as needed. By following these steps in the correct order, you can develop a comprehensive investment strategy that helps you to achieve your financial goals.

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The statement "ARCH models are suitable for time series data where the noise is modeled as uncorrelated zero mean with changing variance" is True. The Autoregressive Conditional Heteroscedasticity (ARCH) model is a statistical model used to analyze time-series data, that is, data collected over time where the outcome depends on the past data.

An ARCH model is a model that describes the variance of the current error term or innovation as a function of the actual sizes of the previous time periods' error terms. The general idea of ARCH models is to model the variance of the errors or residuals using past error values. This makes it possible to catch some important patterns in the data, including volatility clustering.

When a time-series model is developed to analyze time-series data with uncorrelated zero-mean noise and a varying variance, it means that the noise changes or varies over time. This means that the residuals in the model are not correlated, have a mean of zero, and are characterized by a variance that changes over time. As a result, ARCH models are useful for analyzing time-series data with non-constant variance.

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Answer:

No x-intercept/Zero

Step-by-step explanation:

f(x)=3x(3/4)x-4

To find x-intercept/zero, substitute f(x)=0

0=3x(3/4)x-4

To raise a fraction to a power, raise the numerator and denominator to that power

0=3x 3 x-4/4 x-4

Calculate the product

0=3 x-3/4 x-4

Since the right-hand side is always positive, the statement is false for any value of x

Since there is no solution for f(x)=0, there is no x-intercept/Zero  

The radius of convergence, r is 1 and interval of convergence, i, of the series. [infinity] (x − 14)n n2 1 n = 0 is [13, 15), including 13 but excluding 15.

To find the radius of convergence, we can use the ratio test:

lim |(x - 14)(n+1)^2 / n^2| = lim |(x - 14)(n+1)^2| / n^2

= lim (x - 14)(n+1)^2 / n^2

Since the limit of the ratio as n approaches infinity exists, we can apply L'Hopital's rule:

lim (x - 14)(n+1)^2 / n^2 = lim (x - 14)2(n+1) / 2n

= lim (x - 14)(n+1) / n

= |x - 14|

So the series converges if |x - 14| < 1, and diverges if |x - 14| > 1. Therefore, the radius of convergence is 1.

To find the interval of convergence, we need to check the endpoints x = 13 and x = 15.

When x = 13, the series becomes:

∑ [13 - 14]^n n^2 = ∑ (-1)^n n^2

This is an alternating series that satisfies the conditions of the alternating series test, so it converges.

When x = 15, the series becomes:

∑ [15 - 14]^n n^2 = ∑ n^2

This series diverges by the p-test.

Therefore, the interval of convergence is [13, 15), including 13 but excluding 15.

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7+9 = 16

to make the denominator

7/16

7 over the 16

Jane is 8 13/40 inches tall

Given the following:

If Nancy is 1 3/8 inches taller than Matt, hence;

if Jane is 1 1/5  inches taller than Nancy, then the height of Jane will be;

Hence Jane is 8 13/40 inches tall

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Answer:

(-6, -2)

Step-by-step explanation:

so, the coordinate of A is (-3,-1)

the scale factor is 2

you want to multiply the coordinate by the scale factor

(-3 x 2, -1 x 2)

(-6, -2)

(-6, -2) is your answer :)

Answer:

54.75 is the answer I got

Step-by-step explanation:

first I calculated 75÷1.25 then subtracted the fare which is 5.25

Answer:

Step-by-step explanation:

Let the dimensions are width - w, length - l and height - h.

Formula for volume:

Variable expressions for length, height and width:

Equation for the volume of this box:

Substitute the variables:

or

Answer:

Step-by-step explanation:

a) Formula we use,

→ V = l × w × h

b) The variable expressions are,

→ l = (h + 5)

→ w = (h + 2)

→ h = h

c) Forming required equation,

→ V = l × w × h

→ V = (h + 5)(h + 2)(h)

→ 216 = (h + 5)(h + 2)(h)

These are the required answers.

Answer:

Step-by-step explanation:

Haa

9 inches is equal to 22.86 centimeter

To convert 1 inches to cm, we can use the following formula:

1 inch = 2.54 cm

The conversion factor is 2.54

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The length in cm = conversion factor × The length in inches

Substitute the values in the equation

9 inches = 9 × 2.54 cm

Multiply the numbers

= 22.86 cm ( rounded to two decimal places )

Therefore, 9 inch is 22.86 cm

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Answer:

you dont he never will

Step-by-step explanation:

he left

got milk

forgot about you

never came back

Answer:

He will neva come back

Step-by-step explanation:

Have a good day!