One example of consecutive odd integers would be 3, 5, 7, 9, ...
If the first consecutive odd integer is represented by x, which algebraic expression represents the second
consecutive odd integer?
____
Which expression represents the third consecutive odd integer?
____
The answers are
X+2
X+4

1) The periodic (monthly) interest rate is 0.198%.

2) In total, there will be 312 cash flows.

3) The present value of receiving $50 each week for 8 years with a discount rate of 9% is $15,690

4)  Approximately $55,760 per year for the next 20 years to reach your goal of $2 million.

5) The most you can withdraw each month from the savings account is $402.

1) The formula to convert an annual interest rate to a monthly rate is:

Monthly interest rate = (1 + Annual interest rate)^(1/12) - 1

Let's substitute the given annual interest rate of 2.4% into the formula:

Monthly interest rate = (1 + 0.024)^(1/12) - 1

Calculating the expression inside the parentheses:

Monthly interest rate = (1.024)^(1/12) - 1

Using a calculator or software to calculate the value:

Monthly interest rate ≈ 0.00198

Converting to a percentage by multiplying by 100:

Monthly interest rate ≈ 0.198%

Therefore, the periodic (monthly) interest rate is approximately 0.198%.

2)To calculate the total number of cash flows in a weekly annuity for 6 years, we need to multiply the number of weeks in a year (52) by the number of years.

Total number of cash flows = Number of weeks in a year × Number of years

Total number of cash flows = 52 × 6

Total number of cash flows = 312

Therefore, in total, there will be 312 cash flows.

3) To calculate the present value of receiving $50 each week for 8 years with a discount rate of 9%, we can use the present value formula for an annuity:

Present Value = Cash flow × (1 - (1 + Interest rate)^(-Number of periods)) / Interest rate

Where:

Cash flow = $50 (weekly payment)

Interest rate = 9% (discount rate)

Number of periods = 8 years × 52 weeks/year (total number of weeks)

Let's calculate the present value:

Present Value = $50 × (1 - (1 + 0.09)^(-8 × 52)) / 0.09

Using a calculator or software to calculate the value:

Present Value ≈ $15,690

Therefore, the present value of receiving $50 each week for 8 years with a discount rate of 9% is approximately $15,690.

4)To calculate how much you should save each year for the next 20 years to reach a savings goal of $2 million, we can use the future value formula for an annuity:

Future Value = Savings per year × ((1 + Interest rate)^Number of periods - 1) / Interest rate

Where:

Future Value = $2,000,000 (savings goal)

Interest rate = 5% (annual return)

Number of periods = 20 years

Let's calculate the savings per year:

$2,000,000 = Savings per year × ((1 + 0.05)^(20) - 1) / 0.05

Rearranging the formula to solve for Savings per year:

Savings per year = $2,000,000 × 0.05 / ((1 + 0.05)^(20)- 1)

Using a calculator or software to calculate the value:

Savings per year ≈ $55,760

Therefore, you should save approximately $55,760 per year for the next 20 years to reach your goal of $2 million.

5)To calculate the maximum amount you can withdraw each month from a savings account with $30,000 earning 2.4% interest over 6 years, we can use the present value formula for an annuity:

Present Value = Cash flow × ((1 - (1 + Interest rate)^(-Number of periods)) / Interest rate

Where:

Cash flow = Amount to withdraw each month

Interest rate = 2.4% (monthly interest rate)

Number of periods = 6 years × 12 months/year (total number of months)

Let's calculate the maximum withdrawal amount:$30,000 = Cash flow × ((1 - (1 + 0.024)^(-6 × 12)) / 0.024)

Rearranging the formula to solve for Cash flow:

Cash flow = $30,000 / ((1 - (1 + 0.024)^(-6 × 12)) / 0.024)

Using a calculator or software to calculate the value:

Cash flow ≈ $402

Therefore, the most you can withdraw each month from the savings account is approximately $402.

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Therefore the number of two point baskets = 29 and three point baskets = 13.

A set of equation that have a common factor that satisfies them

It is given in the question that

x = the two point baskets

y = the three point baskets

A basketball team scored a total of 97 points in a basketball game

2x +3 y = 97  

They made a total of 42 two-point and three-point baskets.

x +y = 42

y = 42- x

2x + 3(42-x) = 97

On solving we get x = 29

Two point baskets = 29

and y = 13

Three point baskets = 13

Therefore the solution of the given system of equations are two point baskets = 29 and three point baskets = 13.

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Answer:

Hope I helped! Brainleist!

Step-by-step explanation:

you get $12/week

and you have $

your equation is

y=12x

now...

y = 384

so

384=12x

x= 32

First we need to solve for n, likte this:

In a graph, n would look like a line, which value is always 14, like this:

Answer:

Step-by-step explanation:

Let μ - mean, σ - standard deviation.

A score of 30 falls three standard deviations below the mean:

A score of 60 falls three standard deviations above the mean:

Add up the two expressions and find the value of μ:

The mean is 45

Answer:

The answer is 5f + 6g +12

Step-by-step explanation:

Answer:

5f + 6g +12

Step-by-step explanation:

Simplify the expression.

The derivate of the logarithmic function is :

f'(x) = [(4*x^3 + 2*e^2x)/(x^4 + e^2x)]

Remember that for the natural logarithm g(x) = ln(x), we have:

dg/dx = 1/x

Here we have the function:

f(x) = ln(x^4 + e^2x).

The derivate will be one over the argument (for what we wrote above) times the derivate of the argument, we will get:

f'(x) = [1/(x^4 + e^2x)]*(4*x^3 + 2*e^2x)

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The output obtained after executing the java code snippet,

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

will be 4.

As per the question statement, we are provided with a java code snippet, which goes as:

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We are required to determine the output, that we will obtain on executing the above mentioned code.

That is, on executing the code

public static void main(string[] args)

{

int value = 3;

value++;

system.out.println(value);
}

We will obtain an output of 4, as "++" is the post increment function.

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Answer:

5.5) 5

6.0) 6

6.5) 7

7.0) 3

Step-by-step explanation:

Hope this helps and if it does PLS! give me brainiliest. PLS!

Answer:

9 - x > 10 = x < −1

Step-by-step explanation:

9 - x > 10

-x > 10 - 9

-x > 1

x < -1

Answer: x < -1

Step-by-step explanation: -x>10-9, -x>1, x<-1

hope this helps :)

Answer:

\(a^{3}\) * \(b^{2}\)

Step-by-step explanation:

\(\frac{a^{12} * b^{7} }{a^{9} * b^{5} }\)

Divide the equation (split the equation into parts), to show like terms;

\(\frac{a^{12} }{a^{9} }\) * \(\frac{b^{7} }{b^{5} }\)

Since dividing two numbers with exponents,( that have the same base), is equivalent to subtracting the exponents and retaining the base, hence:

\(a^{3}\) * \(b^{2}\)

The required state income tax owed on a $90,000 per year salary is $4950.

Given that,
A table shows the income tax owed by the state on the particularar salary,
Income Range ($)      Tax Rate

0 - 10,000                     3%
10,001 - 50,000             5%
50,001 - 100,000           5.5%

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
on $90,000
Tax owed = 5.5% of 90000, because this salary lies in the segment 50,001 - 100,000.
Tax owed = 0.055[90000] = $4950

Thus, the required state income tax owed on a $90,000 per year salary is $4950.

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Answer:

Question 2 :  
\(\boxed{-35}\)

Question 3:
\(\boxed{7}\)

Question 4:
\(\boxed{-5}\)

Question 5:
\(\boxed{-5}\)

Step-by-step explanation:

The easiest points to take on the line are those where x =0, y = 35 (0,35) and x = 7, y =0 (7,0)

Question 2.
We can see that between these two points, the y value decreases linearly from 35 to 0. So the rise between (0, 35) and (7,0) = \(0 -35 = -35\)

Question 3

\(\textrm{Between (0, 35) and (7,0) the x value increases from 0 to 7 so the run is 7}\)

Question 4

\(\dfrac{rise}{run}= \dfrac{-35}{7}= -5}\)

Question 5

Slope is the same as rise over run

We can also write this as
\(\dfrac{0-35}{7-0} = \dfrac{-35}{7} = -5\)

Though not asked for, the equation of the line is
\(y = -5x + 35\)

Answer:

no

Step-by-step explanation:

Shipping points are independent organizational entities within which processing and monitoring of the deliveries, as well as goods issue, is carried out. A delivery is processed by one shipping point only.

"FOB shipping point" or "FOB origin" means the buyer is at risk once the seller ships the product. The purchaser pays the shipping cost from the factory and is responsible if the goods are damaged while in transit. "FOB destination" means the seller retains the risk of loss until the goods reach the buyer.

Please check the attached file for a complete answer.

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The height of the right octagonal prism is approximately 10.75 cm.

The given information states that the base of the prism is a regular octagon with each side measuring 2.3 cm, and the area of the base is 25.76 cm². Additionally, the surface area of the prism is 223.56 cm².

First, let's calculate the area of the eight lateral faces. We can do this by subtracting the base's area from the total surface area:

223.56 cm² (total surface area) - 25.76 cm² (base area) = 197.8 cm² (lateral area)

Now, we know that the lateral area is the sum of the areas of all eight rectangular faces. Each rectangle has a base of 2.3 cm (the same as the sides of the octagonal base) and a height equal to the height of the prism (h). Since there are eight faces, the combined area of these rectangles is 8 x 2.3 x h:

8 x 2.3 x h = 197.8 cm²

18.4 x h = 197.8 cm²

To find the height of the prism (h), we can divide both sides of the equation by 18.4:

h = 197.8 cm² / 18.4

h ≈ 10.75 cm

So, the height of the right octagonal prism is approximately 10.75 cm.

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Answer:

  lies in the shaded regions of both the top and bottom inequalities

Step-by-step explanation:

For a point to be a solution of two inequalities, it must lie in both solution sets. It ...

  lies in the shaded regions of both the top and bottom inequalities

We want to define when a point is a solution of a system of inequalities, we will see that the correct option is: "lies in the shaded regions of both the top and bottom inequalities."

Just like in a system of equations, a solution of the system is must be a solution of both equations.

Here, a solution ot the system of inequalities must be at the same time a solution of each inequality.

Remember that the solutions of the inequalities are represented by shaded regions, so the point must belong to the intersection of the two shaded regions.

So the correct option is:

"lies in the shaded regions of both the top and bottom inequalities."

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Answer:4/2

Step-by-step explanation:

Answer:

cylinder surface area = 201.06in²

surface area of cone = 56.56in.²

Step-by-step explanation:

cylinder surface area formula = 2πrh + 2πr²

refer the pic

cone surface area formula = πr ( r + √h² + r² )

refer the sec pic

surface area of the solid

= ( 201.06 + 56.56 ) in.²

= 257.62in.²

= 258in.²

Under ideal conditions, the frequency of the dominant allele increases in each generation. Option A.

The frequency of the dominant allele increases in each generation because it is expressed in the phenotype of organisms and is therefore more likely to be passed on to the next generation.

Alternately, under ideal conditions, the frequency of the recessive allele decreases in each generation. In other words, the alleles do not necessarily reach a 50/50 balance.

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Answer:

2a^2

Step-by-step explanation:

Answer:

is 3.5 one year? we need more info

Answer:

60 people

Step-by-step explanation:

Set up a proportion:

\(\frac{5}{18}\) = \(\frac{x}{216}\)

Cross multiply and solve for x:

18x = 1080

x = 60

So, 60 people would have a gym membership

Answer:

4.125 kilograms

Step-by-step explanation:

\(w=\frac{(275)(15)}{1000} =\frac{4125}{1000} =4.125kg\)

Hope this helps

Answer:

4.125 kg

Step-by-step explanation:

275*15=4150

4150/1000=4.15                       (we divide because we need the answer in kg)

Answer:

(x+1)(2x-5)

Step-by-step explanation:

Answer:

(x+1)(2x-5)

Step-by-step explanation: