1-4csc^2x
How to factor?

Approximately 204.11 years ago, your great, great, great, great grandmother left you $2 in a bank account that has grown to $150,000 today.

To calculate the number of years, we can use the compound interest formula:

\(A = P(1 + r/n)^ {nt}\)

where A is the final amount, P is the principal amount, r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the number of years.

Given that the principal amount is $2, the final amount is $150,000, the annual interest rate is 5.5% (0.055 as a decimal), and the interest is compounded weekly (n = 52), we can solve for t:

\(50,000 = 2(1 + 0.055/52)^{52t}\)

Dividing both sides by $2 and isolating the exponent, we get:

\(75,000 = (1.0010576923076923)^{52t}\)

Taking the logarithm of both sides, we have:

\(log(75,000) = log(1.0010576923076923)^{52t}\)

Using logarithm properties, we can rewrite the equation as:

log(75,000) = 52t * log(1.0010576923076923)

Solving for t by dividing both sides by 52 * log(1.0010576923076923), we find:

t ≈ 204.11 years

Therefore, approximately 204.11 years ago, your great, great, great, great grandmother left you $2 in the bank account.

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Answer:

1

Step-by-step explanation:

Answer:

f = -6g/5

Step-by-step explanation:

6f + 9g = 3g + f

combine like terms

6f -f = 3g - 9g

5f = -6g

divide both sides of the equation by 5

f = -6g/5

Answer:

f= -6/5.      aka].  answer B

Step-by-step explanation:

We will investigate the process of division and express a fraction in its simplest form.

We are given the following operation of division to be performed:

We can express the above operation in a form of a fraction as follows:

Whenever we are looking at the simplification process we try to determine the divisibility of both numerator an denominator with a common integer.

We see that both numerator and denominator are divisible by integer ( 3 ). Hence, we can go ahead and write down the divisibility of both numerator and denominator by 3 in the fraction form:

We see that both numerator and denominator are divisible by integer ( 11 ). Hence, we can go ahead and write down the divisibility of both numerator and denominator by 11 in the fraction form:

Next we see that we can further perform the divisibility operation by dividing both numerator and denominator by ( 4 ) and express in fraction in its simplest form:

The above result is expressed in its most simplest form. This means the numerator and denominator can not be further divided or divisible by any common integer other than ( 1 ). Hence, we have arrived at the simplest answer to the division operation:

Answer:

Step-by-step explanation:

A is the answer for this question:   Which graph shows the result of dilating this figure by a factor of One-third about the origin?

Step-by-step explanation:

A is the answer

Answer:6

Step-by-step explanation: The rules of exponential says (a^x)^y=a^xy.

Therefore you will multiply 1/4 with 4 to get an exponent of 1. So the answer is 6^1 which is also written as 6

Answer:

2 =x

Step-by-step explanation:

f(x) = 9 - 4x

Let f(x) = 1

1 = 9 -4x

Subtract 9 from each side

1-9 = 9-4x-9

-8 = -4x

Divide by -4

-8/-4 = -4x/-4

2 =x

Answer:

x = 2

Step-by-step explanation:

f(x) = 9 - 4x

1 = 9 - 4x

~Subtract 9 to both sides

-8 = -4x

~Divide -4 to both sides

Best of Luck!

Answer:

3

Step-by-step explanation:

3

The McKinsey GE Matrix, also known as the General Electric Matrix, is a strategic management tool used to assess and prioritize a company's portfolio of business units.

The McKinsey GE Matrix evaluates business units based on two key dimensions: market attractiveness and competitive strength.

1. Market Attractiveness: This dimension assesses the attractiveness of the market in which the business unit operates. Factors considered may include market size, growth rate, profitability, industry trends, competitive dynamics, and regulatory environment. The market attractiveness score helps identify the potential for growth and profitability in a particular market.

2. Competitive Strength: This dimension evaluates the competitive strength of the business unit within its market. It takes into account factors such as market share, brand reputation, technological capabilities, distribution channels, product quality, cost structure, and customer loyalty. The competitive strength score helps assess the business unit's ability to outperform competitors and achieve sustainable competitive advantage.

The McKinsey GE Matrix consists of a 9-cell grid, with market attractiveness on the y-axis and competitive strength on the x-axis. Each business unit is plotted on the matrix based on its scores in these dimensions. The matrix is divided into three zones: Invest/Grow, Select/Earn, and Harvest/Divest.

- Invest/Grow: Business units located in this zone have high market attractiveness and strong competitive strength. They are considered promising opportunities for growth and investment. Companies should allocate resources to these units to capitalize on their potential and drive market expansion.

- Select/Earn: Units in this zone have moderate market attractiveness and competitive strength. Companies need to carefully evaluate and decide whether to selectively invest in these units to enhance their performance or maintain their current level of earnings.

- Harvest/Divest: Units in this zone have low market attractiveness and weak competitive strength. They may be in declining markets or face strong competition. Companies should consider divestment or strategic restructuring to minimize losses and reallocate resources to more promising areas.

The McKinsey GE Matrix provides a visual representation of a company's business unit portfolio and helps prioritize resource allocation based on market attractiveness and competitive strength. It assists in identifying growth opportunities, managing risks, and making strategic decisions to enhance overall business performance.

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The quadrilateral is a parallelogram so it is Yes.

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

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Answer:

it's c

Step-by-step explanation:

I saw this on Ed 2020

Answer:

it is C i took the assignment

Step-by-step explanation:

person above me is correct too edge 2020

The term that completes the blank and fits the description is an array

From the question, we understand that:

The term that fits the above highlights is array

Hence, the complete statement is:

array can hold multiple values within a single variable and is defined by having values between square brackets.

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Answer:

Using Pythagorean theorem a2 + b2 = c2 15002 + 20002 = C2; c is 2,500 feet

Answer: the answer is X=-6

Step-by-step explanation:

5x-14=8x+4 - move variable to the left-hand side and change its sign

5x-8x-14=4  - first switch it you are going to have a better understanding

5x-8x= 4=14 move constant to the right-hand side and change its sign

-3x=4+14 collect like term

-3x=18 add the numbers/ then divide both sides of the equation by -3

x=-6

The two equations can you use to find the adult and child admission fees for a puppet show are 45a + 30c = 315 and 50a + 40c = 370

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, two equations can you use to find the adult and child admission fees for a puppet show

Let a represent the fee for adults

Let c represent the fee for children.

On day 1 number of adults = 45

So, fees of 45 adults = 45a

On day 1 number of children= 30

So, fees of 30 children = 30c

Total collection on day 1 = 315

Therefore, equation is 45a + 30c = 315

On day 2 number of adults = 50

So, fees of 50 adults = 50a

On day 2 number of children = 40

So, fees of 40 children = 40c

Total collection on day 2 = 370

So, equation = 50a + 40c = 370

Hence, The two equations can you use to find the adult and child admission fees for a puppet show are 45a + 30c = 315 and 50a + 40c = 370

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Answer:

independent

Step-by-step explanation:

because the probability of getting a 6 on one dice is not affected by another

The probability that the average size of the fish you caught is more than 13 inches is approximately 0.0918, or about 9.18%.

We can use the Central Limit Theorem to approximate the distribution of the sample mean. According to the theorem, the sample mean of a sufficiently large sample will be approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In this case, we have a sample size of 4, which may not be considered sufficiently large, but we can still use the approximation. Thus, the distribution of the sample mean can be approximated as:

mean = 11

standard deviation = 3 / sqrt(4) = 1.5

To find the probability that the average size of the fish you caught is more than 13 inches, we need to standardize the sample mean using the z-score formula:

z = (x - mean) / standard deviation

where x is the sample mean we want to find the probability for. Plugging in the values, we get:

z = (13 - 11) / 1.5 = 1.33

Now, we need to find the probability of getting a z-score greater than 1.33 in a standard normal distribution table or calculator. Using a calculator or statistical software, we find that this probability is approximately 0.0918.

Therefore, the probability that the average size of the fish you caught is more than 13 inches is approximately 0.0918, or about 9.18%.

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Music 28%

Athletics 42%

Neither 30%

The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.

Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.

The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.

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Answer:

Step-by-step explanation:

- 2(5y - 1) - y = - 4(y - 3)

Expand the terms in the bracket

That's

-10y + 2 - y = - 4y + 12

Group like terms

Send the constants to the right side of the equation and those with variables to the left side

That's

- 10y - y + 4y = 12 - 2

- 7y = 10

Divide both sides by - 7

We have the final answer as

Hope this helps you

No, the two vector-valued functions found in parts a and c should not parameterize the same tangent line. The vector-valued function found in part a is a linear function, while the vector-valued function found in part c is a quadratic function. Therefore, the two functions will not parameterize the same tangent line.

The main reason behind this is using properties of logarithm .

like

when solving

There you use multiplication property and make addition to multiplication then you get extraneous solution because in plenty of cases they occur

like

But

Same happens in case of logarithm

Answer:

yeah

Step-by-step explanation: l

Memorizing algebra rules can be challenging, but a few strategies may help: Practice, Mnemonics, Repeat, and Use flashcards.

It's important to note that memorizing rules is not the best approach to understanding the concepts, the best approach is to understand the concepts, and the rules will come naturally.

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After the first 3 hours, Company A will be cheaper than Company B, based on a system of equations.

A system of equations or simultaneous equations refers to two or more equations whose solutions are computed concurrently or simultaneously.

                                 Company A     Company B

First-hour charge           $28                     $20

Subsequent half hour    $10                      $12

Subsequent one-hour  $20                     $24 ($12 x 2)

Let one hour of housekeeping service after the first-hour charge = x

Company A's total charge for x hours = 28 + 20x ... Equation 1

Company B's total charge for x hours = 20 + 24x ... Equation 2

For the costs to become equal:

28 + 20x = 20 + 24x

-4x = -8

x = 2

For the first 3 hours (2 + 1) of housekeeping service, the costs for both companies are equal.

Thus, after the first 3 hours of service, Company A's charges become cheaper than Company B's.

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Answer:

7% of cars traveled east.

Answer:

x = 15

Step-by-step explanation:

\(4 + \frac{x}{3} = 9\)

\( \frac{x}{3} = 5\)

\(x = 15\)

Answer:

=15

Step-by-step explanation:

4+x/3=9

or , (3×4+x)/3=9

or, (12+x)/3=9

or, [(12+x)/3] ×3 =9×3

or x+12=27

or, x+12-12=27-12

so that , x = 15

The required probability of P(Girls/Sophomore) is 0.9.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Data are shown in the table, P(Girls/Sophomore) is to be determined.
In order to determine the probability of the girls over Sophommer,
From,
P(A|B) = P(A ∩ B) / P(B)
P(Girl  | Sophomore ) = P(Girl ∩ Sophomore ) / P(Sophomore)
Substitute the value in the above equation,

P(Girls/Sophomore) = 9 / 10

Thus, the required probability of P(Girls/Sophomore) is 0.9.

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