у = 2х – 6
у = х2 – 4х + 2​

The change in the advertising budget necessary to maintain a monthly profit of $93,500 if the insurance company hires 5 new sales associates is estimated to be an increase of $2,308.

To estimate the change in advertising budget necessary to maintain a monthly profit of $93,500 with the addition of 5 new sales associates, we need to consider the potential impact of these new hires on the company's revenue and expenses.

Assuming that each new sales associate is expected to generate $10,000 in revenue per month, the total increase in revenue would be $50,000 (5 sales associates x $10,000).

However, there may also be additional expenses associated with the new hires, such as salaries and benefits. Let's assume that the total cost of adding 5 new sales associates is $30,000 per month.

Therefore, the net increase in monthly profit due to the new hires would be $20,000 ($50,000 in revenue - $30,000 in expenses).

To maintain a monthly profit of $93,500, the company would need to increase its advertising budget by an amount that would generate an additional $20,000 in profit. Assuming that the company's profit margin on its products is 20%, this would require an additional $100,000 in revenue per month ($20,000 / 0.20).

Based on the historical data and market conditions, the company could estimate the additional advertising budget required to generate this amount of revenue.

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Answer:

I'm guessing 25.

Step-by-step explanation:

i don't know the relation between those two triangles, but they look like they're congruent so the side lengths would be the same and 3+12+10=25

The expression is only true for a = 5.

An expression is a combination of numbers, variables, and operations that represents a quantity or a mathematical relationship. It can be a simple or complex representation of a value or function, and it can be evaluated or simplified using algebraic or numerical methods.

The given expression is:

(1/2)a - 5 (1/2) = (5 - a)

To find the values of 'a' that make this expression true, we can simplify and solve the equation:

(1/2)a - 2.5 = 5 - a

Adding 'a' to both sides:

(3/2)a - 2.5 = 5

Adding 2.5 to both sides:

(3/2)a = 7.5

Multiplying both sides by 2/3:

a = 5

Therefore, the expression is true when a = 5.

To verify, we can substitute a = 5 into the original expression:

(1/2)(5) - 5 (1/2) = (5 - 5)

2.5 - 2.5 = 0

The expression evaluates to 0, which is true.

Therefore, the expression is only true for a = 5.

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Sososos

Step-by-step explanation:

Answer:

4 units

Step-by-step explanation:

C

Answer:

y = 2x + 10

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 5, 0) and (x₂, y₂ ) = (0, 10) ← 2 points on the line

m = \(\frac{10-0}{0-(-5)}\) = \(\frac{10}{0+5}\) = \(\frac{10}{5}\) = 2

the line crosses the y- axis at (0, 10 ) ⇒ c = 10

y = 2x + 10 ← equation of line

Answer:

(n^(2)+6n-4)(2n-4)

Answer:

rang is 31

Step-by-step explanation:

Answer:

excusme where is the model

Step-by-step explanation:

Answer:

The first one

because there is only one parent is the photo that i'm looking at

The hypothesis should be accepted. The reason is given below.

we have n = 4

4 - 1 = 3

At a df of 3, the Chi2 of 7.8 would lie between p value of 5 percent and 1 percent. Now if p value is higher than 5 percent we have to accept H0.

This is the goodness of fit test that is useful for the determination of the observed and the expected differences in the data. P value higher than 5 percent would get us to accept the null.

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Answer:

if Im not mistaken it is 2

Step-by-step explanation:

2! Is the same thing as 2*1 and 2*1 is 2, so technically for factorials the higher in number you get you have to multiply all the numbers going back to one

Answer:

2

Step-by-step explanation:

2! = 2*1= 2

another example

5! = 5*4*3*2*1 = 120

therefore ! means multiplication of the least numbers of the number given

The upper quartile for the number of inches of snowfall is 15 inches.

The upper quartile, also known as the third quartile, is the value that cuts off the highest 25% of data values. To find the upper quartile for the number of inches of snowfall, we need to follow these steps:

1. Arrange the data values in ascending order.
2. Find the median, or the middle value, of the data set.
3. The upper quartile is the median of the upper half of the data set.

For example, if the data set for the number of inches of snowfall is [2, 4, 6, 8, 10, 12, 14, 16, 18, 20], the steps to find the upper quartile would be:

1. Arrange the data values in ascending order: [2, 4, 6, 8, 10, 12, 14, 16, 18, 20]
2. Find the median: (10 + 12) / 2 = 11
3. The upper quartile is the median of the upper half of the data set: (14 + 16) / 2 = 15

Therefore, the upper quartile for the number of inches of snowfall is 15 inches.

To round the answer to 4 decimal places, we can use the following formula:

Upper quartile = round(upper quartile, 4)

In this case, an upper quartile is already a whole number, so rounding to 4 decimal places will not change the value.

The final answer is:  upper quartile = 15.0000 inches

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The total cost for an order of 30 copies is $17.50.

So, calculate the total cost as follows:

We have:

Here, x implies a number of orders of copies and in question, it says the order of 30 copies.

So, Substitute x=30 in equation 1,

Hence, the total cost for an order of 30 copies is $17.50.

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Answer:

Earn $50 every month.

\(\implies y = 50x + 1000\)

This is a linear function.

Earn 3% interest each month.

(Assuming the interest earned each month is compounding interest.)

\(\implies y = 1000(1.03)^x\)

This is an exponential function.

\(\large \begin{array}{| c | l | l |}\cline{1-3} & \multicolumn{2}{|c|}{\sf Account\:Balance} \\ \cline{1-3} & \sf Option\:1 & \sf Option\:2 \\\sf Month & \sf \$50\:per\:mth & \sf 3\%\:per\:mth \\\cline{1-3} 0 & \$1000 & \$1000 \\\cline{1-3} 1 & \$1050 & \$1030 \\\cline{1-3} 2 & \$1100 & \$1060.90 \\\cline{1-3} 3 & \$1150 & \$1092.73 \\\cline{1-3} 4 & \$1200 & \$1125.51 \\\cline{1-3} 5 & \$1250 & \$1159.27 \\\cline{1-3} 6 & \$1300 & \$1194.05 \\\cline{1-3} 7 & \$1350 & \$1229.87 \\\cline{1-3}\end{array}\)

From the table of values, it appears that Account Option 1 is the best choice, as the accumulative growth of this account is higher than the other account option.

However, there will be a point in time when Account Option 2 starts accruing more than Account Option 2 each month.  To find this, graph the two functions and find the point of intersection.

From the attached graph, Account Option 1 accrues more until month 32.  From month 33, Account Option 2 accrues more in the account.

If the money is going to be invested for less than 33 months then Account Option 1 is the better choice.  However, if the money is going to be invested for 33 months or more, then Account Option 2 is the better choice.

By using Binomial probability distribution, the mean number of adults who would have bank savings accounts is 32.

For every survey, there are only two possible outcomes.

First- they have bank savings accounts,

second- they do not.

So, by using the binomial probability distribution we can solve this problem.

Probability of exactly Y successes in ‘n’ repeated trials, with ‘p’ probability.

Probability = p

Successes repeated = n  times

The  value of the binomial distribution is:

E(Y) = n x p

In this problem, we have that:

p = 0.64

If we were to survey among 50 randomly selected adults, the mean number of adults who would have bank savings accounts is,

E(Y) when, n = 50

So,

E(Y)= n x p

= 50 x 0.64

= 32

Hence ,our required answer is 32 adults who would have bank savings accounts

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Answer:

-4

Step-by-step explanation:

The graph shows a -4 decrease in the y axis when x is increased by 1

Answer:

0

Step-by-step explanation:

I will assume you want to find the slope of the line. The formula for slope is [ y2-y1/x2-x1 ]. We can use the points (-6, 4) and (-4, -4) to solve.

-4-4/-4-(-6)

0/2

0

Best of Luck!

The number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

The number of calories that Darrell will burn in 1 minute while kayaking is obtained applying the proportions in the context of the problem.

For each input-output pair in the table, the constant of proportionality is of 4, hence the number of calories that Darrell will burn in 1 minute while kayaking is given as follows:

4 calories.

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(A) the smallest upper bound for P(X > 20) is 1/4. (B) x can be a binomial random variable with n = 20 and p = 0.5. b) Yes, x could be a binomial random variable

A random variable x has expectation 10 and standard deviation 5.

a) To find the smallest upper bound for P(x > 20), we can use Chebyshev's inequality. Chebyshev's inequality states that:

P(|X - μ| ≥ kσ) ≤ 1/k²

In this case, μ = 10, σ = 5, and we want to find the smallest upper bound for P(X > 20), which is equivalent to P(X - 10 > 10). So, we can set k = 10/5 = 2 and plug in the values into the inequality:

P(|X - 10| ≥ 2(5)) ≤ 1/2²

P(|X - 10| ≥ 10) ≤ 1/4

Therefore, the smallest upper bound for P(X > 20) is 1/4.

b) It is possible for x to be a binomial random variable. A binomial random variable is characterized by a fixed number of trials (n), a fixed probability of success (p), and each trial is independent. The expectation of a binomial random variable is np and the standard deviation is √(np(1-p)).

So, if x is a binomial random variable, we can set np = 10 and √(np(1-p)) = 5. Solving for n and p, we can find that n = 20 and p = 0.5. Therefore, x can be a binomial random variable with n = 20 and p = 0.5.

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Answer:

A=l×w×h

Step-by-step explanation:

5×5×6×7

1050. or if we add 4 in the solution part 2400

The root of f(x) will be (A) -√7.

To find the root of f(x):

Conjugate pair: A root has two forms one positive and one negative.

Example: a + √b, a - √b

Therefore, the root of f(x) will be (A) -√7.

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The correct question is given below:

If a polynomial function f(x) has roots 3 and a square root of 7 what must also be a root of f(x)?

A. negative square root of 7

B. i square root of seven

C. –3

D. 3i

The profit to an investor who buys the call for $5.0 in the given scenarios:

(a) Profit = -$5.0

(b) Profit = $0

(c) Profit = $5.0

(d) Profit = $10.0

(e) Profit = $15.0

If the stock price is below the strike price of $40 in 6 months, the call option will expire worthless and the investor will lose the $5.0 premium paid for the call option.

If the stock price is above the strike price of $40 in 6 months, the call option will have some value, which will depend on the stock price at expiration.

(a) If the stock price is $40 at expiration, the call option will have no intrinsic value, and the investor will lose the entire $5.0 premium paid for the call option.

(b) If the stock price is $45 at expiration, the call option will have an intrinsic value of $5.0 (the difference between the stock price and the strike price), and the investor will break even (excluding transaction costs).

(c) If the stock price is $50 at expiration, the call option will have an intrinsic value of $10.0, and the investor will make a profit of $5.0 (excluding transaction costs).

(d) If the stock price is $55 at expiration, the call option will have an intrinsic value of $15.0, and the investor will make a profit of $10.0 (excluding transaction costs).

(e) If the stock price is $60 at expiration, the call option will have an intrinsic value of $20.0, and the investor will make a profit of $15.0 (excluding transaction costs).

In summary, the profit to an investor who buys the call for $5.0 will depend on the stock price at expiration. If the stock price is below the strike price of $40, the investor will lose the entire premium paid for the call option. If the stock price is above the strike price of $40, the investor will make a profit that depends on the difference between the stock price and the strike price.

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Answer:

($0.22/mile)x + $40/day ≤ $84/day, where x is the miles/day

Step-by-step explanation:

Let y be the cost for a day of car rental, including the mileage fee of $0.22/mile.  Let x be the number of miles driven each day.

 y =  ($0.22/mile)x + $40

The total cost for 100 miles in one day would be = ($0.22/mile)(100 miles) + $40, or $62.

But we are restricted to a daily budget of $84/day.  Since we need to spend $84/day or less, we can write an inequality:

          ($0.22/mile)x + $40/day ≤ $84/day

Let's solve for x for the case that y = $84, the upper limit of expense:

    ($0.22/mile)x + $40 = $84

     x = ($84/day-$40/day)/($0.22/mile)

x = 200 miles

We may travel up to 200 miles/day to stay with the $84/day budget.

b (?) and c

m and n have the same slope (-2/5) so m//n

Answer:

55/9

Step-by-step explanation:

Answer:

20/9 or 2 2/9

Step 1: convert mixed number into improper fraction

4/3

Step 2: copy dot flip

4/3 × 5/3

Step 3: solve

20/9

Step 4 (if your hw requires it): convert to mixed number

2 2/9

Answer:

You would divide by -3, in this case x would be -7

Step-by-step explanation:

-3/-3 = x -3/21 = -7

x=-7

The probability that x < y is 1/8 or 0.25 .

What is probability of an event?
The possibility or chance of an event happening is commonly believed to be the probability of it happening. In the most basic scenarios, the probability that a specific event 'A' will occur as a result of an experiment is calculated by dividing the number of ways that 'A' can happen by the total number of possible outcomes.
P(A) = Number of events concerning 'A' / Total events in consideration.

Given, the vertices of the rectangle are (0, 0), (4, 0), (4, 1), (0, 1).
On carefully analyzing and plotting the vertices roughly, we get that the given rectangle has a width of 4 units and a height of 1 unit.
Therefore, the area of the given rectangle = Width*Height = 4*1 = 4 units²
Also, it can be assessed that the line x = y passes through the points of the rectangle at (0, 0) and (1, 1).
Thus, the area for which x < y will be an isosceles triangle with side length of 1 units and co-ordinates of vertices as (0, 0), (0, 1) and (1, 1).
The area of the isosceles triangle thus assumed = 0.5 × 1² = 0.5 units²
Probability that x < y is P(E): 0.5/4 = 1/8 = 0.25
Therefore, the probability that x < y is 1/8 or 0.25 .

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Answer:

50 degrees

Step-by-step explanation: