need help with this !!!
n/3-8=-2

Answer:

[tex]C(x)=108+5.5x[/tex]

Step-by-step explanation:

Function Model

To model a real-life situation, a mathematical function can be constructed in such a way it accurately represents the variables measured in the system.

We need to build a function that represents the total monthly cost C(x) of Mary Ann's cable package. It consists of a fixed amount that includes one movie a month and a variable amount depending on the additional movies she watches. Let's call x to the additional movies, and represent the cost as a linear function of the form:

[tex]C(x)=C_o+bx[/tex]

Where Co and b are to be determined with the data provided.

In the first month, Mary Ann watched 5 additional movies and paid $135.50. This gives us an ordered pair (5,135.50). Substituting into the general function:

[tex]135.50=C_o+5b\qquad \qquad[1][/tex]

In the second month, Mary Ann watched 9 additional movies and paid $157.50. The point (9,157.50) is also used in the function:

[tex]157.50=C_o+9b\qquad \qquad[2][/tex]

Subtracting [2] and [1]:

[tex]157.50-135.50=4b=22[/tex]

Solving for b:

[tex]b=5.5[/tex]

Using this value in [1]:

[tex]135.50=C_o+5*5.5=C_o+27.50[/tex]

Solving for Co:

[tex]C_o=135.50-27.50=108[/tex]

The function that  represents the total monthly cost C(x) of Mary Ann's cable package is:

[tex]\boxed{C(x)=108+5.5x}[/tex]

Answer:

0.5x is going to be right

Step-by-step explanation:

14.95 divided by 65 is approximately 0.2292.

To estimate and divide 14.95 by 65 using the standard algorithm, we follow these steps:

Estimate the quotient:

Based on the values given, we can estimate that 14.95 is close to 15, and 65 is close to 60. So, we can estimate the quotient to be around 15/60, which simplifies to 1/4.

Perform long division:

Now, let's divide 14.95 by 65 using the standard algorithm:

0.2292 (quotient)

______________

65 | 14.95

First, we divide 14 by 65, which results in a quotient of 0. Then, we bring down the decimal point and divide 149 by 65. The quotient is 2, and we have a remainder of 19. We bring down the next decimal place, which is 5, and divide 195 by 65. The quotient is 3, and there is no remainder.

The final quotient is approximately 0.2292.

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Answer:

y = -2x + 8

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Find slope m

[tex]m=\frac{-4-4}{6-2}[/tex]

[tex]m=\frac{-8}{4}[/tex]

[tex]m=-2[/tex]

y = -2x + b

Step 2: Find y-intercept b

4 = -2(2) + b

4 = -4 + b

b = 8

Step 3: Write linear equation

y = -2x + 8

Answer:

Step-by-step explanation:

Simplifying

Answer:

11

Step-by-step explanation:

LN = LM + MN

=> 22 = 3z + 1 + 3z + 1

20 = 6z

z =  10/3

LM = (10/3)*3+1 = 11

:(((

Answer:

The original Slope is y=-1/3x-2

The perpendicular slope would be y=3x+b

Step-by-step explanation:

Original Slope:

You already have the y-interecpet, (0,-2), and you know two points (0,-2) and (-6,0), so you can find the slope with (y1-y2)/(x1-x2) so in this case, it would be (0-(-2))/(-6-0)= -1/3 and you can find y=1/3x-2.

Perpendicular Slope:

The slope of any perpendicular line would be the reciprocal of the original. So the reciprocal of -1/3 is 3. The b can be any real number because no matter the y-intercept the slope would still be perpendicular

Answer:

x=4 i did math

Step-by-step explanation:

Answer: I’m pretty sure it’s A, B, D, and E in other words 1, 2, 4, and 5

1245

i did it on edge:) im not ganna say trust me bc then im sus lol

Answer:

5c = -26-4

5c = -30

c = -30/5

c = -6

Answer:

[tex]\boxed {c = -6}[/tex]

Step-by-step explanation:

Solve for the value of [tex]c[/tex]:

[tex]5c + 4 = -26[/tex]

-Subtract both sides by [tex]4[/tex]:

[tex]5c + 4 - 4 = -26 - 4[/tex]

[tex]5c = -30[/tex]

-Divide both sides by [tex]5[/tex]:

[tex]\frac{5c}{5} = \frac{-30}{5}[/tex]

[tex]\boxed {c = -6}[/tex]

So, the value of [tex]c[/tex] is [tex]-6[/tex].

The percentage of credit sales method is a method of estimating uncollectible accounts that is utilized by many businesses. It is used to figure out how much of their sales will not be collected because of credit value.

The Allowance for Uncollectible Accounts is a contra account that reflects an estimate of the uncollectible accounts receivable balance that a firm expects to incur. The adjusting entry to the allowance account reflects the change in the estimated uncollectible receivables balance. By crediting the current balance in the allowance account and debiting the estimated uncollectible expense, the firm establishes an allowance account balance that reflects the most up-to-date uncollectible accounts receivable balance. The Allowance for Uncollectible Accounts prior to adjustment has a debit balance of $18,000. After all adjusting entries are made, the balance in Allowance for Uncollectible Accounts will be $16,540.

The percentage-of-credit sales method is a practical method for estimating uncollectibles, as it can provide a valuable estimate of how much of a company's sales will go unpaid. This method is based on the idea that a certain percentage of credit sales will be uncollectible, allowing a company to set aside an estimated amount for uncollectibles that will appear on the balance sheet as a contra asset account known as the Allowance for Uncollectible Accounts. The Allowance for Uncollectible Accounts reflects an estimate of the uncollectible accounts receivable balance that a company expects to incur.

The adjusting entry to the allowance account reflects the change in the estimated uncollectible receivables balance. By crediting the current balance in the allowance account and debiting the estimated uncollectible expense, the company establishes an allowance account balance that reflects the most up-to-date uncollectible accounts receivable balance. In the given scenario, the Allowance for Uncollectible Accounts prior to adjustment has a debit balance of $18,000, which means that this amount is owed by customers who are unlikely to pay. After all adjusting entries are made, the balance in Allowance for Uncollectible Accounts will be $16,540. This means that the company has estimated that $1,460 of its accounts receivable balance will not be collected, and has made the necessary adjustments to its allowance account.

Jensen Corporation uses the percentage-of-credit sales method to estimate uncollectibles. The Allowance for Uncollectible Accounts prior to adjustment has a debit balance of $18,000. After all adjusting entries are made, the balance in Allowance for Uncollectible Accounts will be $16,540.

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Answer:

Y= -4X + 8

Step-by-step explanation:

Use rise/run to find slope (y2- y1/ x2-x1). Plug the slope into point-slope form [y-y1= m(x-x1)]. this is your answer

Answer:

first part is 3000, second part is 1500

Step-by-step explanation:

Answer:

3000;1500

Step-by-step explanation:

4500÷3 =1500

(1500×2)=part one

1500=part two

check:

3000×.05=150=1500×.1

3 - (-2)

= 3 + 2

=5

Option D is the correct answer

Answer:

Step-by-step explanation:

[tex] = 3 - ( - 2)[/tex]

[tex] = 3 + 2[/tex]

[tex] = 5[/tex]

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Answer: 1 whole

Step-by-step explanation:

Answer:

Probability of a line living less than 10.1 years is 16%.

Step-by-step explanation:

It is given that, lifespan of lines in a particular zoo are normally distributed.

Mean =12.5

standard deviation= 2.4

We need to find the P(x<10.1)

So, let's use Empirical rule.

mean± standard deviation = 68%

Mean±2 standard deviation= 95%

mean ±3 standard deviation=99.7%

Now, let's use this rule to solve our problem.↑

Answer:

x ≤ 7 or x > 11

Step-by-step explanation:

Answer:

v = (9 z)/5 - (9 w)/5

Step-by-step explanation:

Solve for v:

w + (5 v)/9 = z

Hint: | Isolate terms with v to the left-hand side.

Subtract w from both sides:

(5 v)/9 = z - w

Hint: | Solve for v.

Multiply both sides by 9/5:

Answer: v = (9 z)/5 - (9 w)/5

Answer:

the answer is B bc integers dont include fractions

Answer:

The value of [tex]x[/tex]:

[tex]\boxed {x = \frac{3y}{4} - 6}[/tex]

The value of [tex]y[/tex]:

[tex]\boxed {y = \frac{4x}{3} + 8}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]-4x + 3y = 24[/tex]

-Subtract [tex]3y[/tex] to both sides:

[tex]-4x + 3y - 3y = 24 - 3y[/tex]

[tex]-4x = 24 - 3y[/tex]

-Divide both sides by [tex]-4[/tex]:

[tex]\frac{-4x}{-4} = \frac{24 - 3y}{-4}[/tex]

[tex]\boxed {x = \frac{3y}{4} - 6}[/tex]

-----------------------------------------------------------------------

Solve for the value of [tex]y[/tex]:

[tex]-4x + 3y = 24[/tex]

-Add [tex]4x[/tex] to both sides:

[tex]-4x + 4x + 3y = 24 + 4x[/tex]

[tex]3y = 24 + 4x[/tex]

-Remember that the equation is in Standard Form:

[tex]3y = 4x + 24[/tex]

-Divide both sides by [tex]3[/tex]:

[tex]\frac{3y}{3} = \frac{4x + 24}{3}[/tex]

[tex]\boxed {y = \frac{4x}{3} + 8}[/tex]

Answer: if simpliflying the answer is -4+3y

Calculation of the total amount in your account after 3 years: As the first payment will be made after 6 months, you will have 5 payments made in total at the interest rate of 4% nominal interest, compounded semi-annually.

The amount you deposit in each payment (P) is $1000$. The time duration for which the money is deposited (t) is 3 years and the number of times the interest is compounded in a year (n) is 2. Now, using the following formula, you can find the amount (A) in your account after 3 years:$A = P\left(1 + \frac{r}{n}\right)^{nt}$Putting the values, $A = 1000\left(1 + \frac{0.02}{2}\right)^{2\times3}$$A = 1000\left(1 + 0.01\right)^{6}$$A = 1000\left(1.01\right)^{6}$$A = 1000\times1.061051$$A = 1061.051$ The amount in your account after 3 years will be $1061.051, rounded to the nearest cent.2.                                                                                               Calculation of equal quarterly deposits:You need to find out how large each of the two payments should be if you have to make a payment of $10,000 one year from now. You plan to make two equal quarterly deposits, which means that the interest rate (r) will be 4% nominal interest, compounded quarterly. Therefore, the effective interest rate (r) can be calculated as:$4\% \div 4 = 1\%$You have to find out how much money you have to deposit at the end of each quarter (P) to be able to make a payment of $10,000 one year from now. The time duration for which the money is deposited (t) is 1 year and the number of times the interest is compounded in a year (n) is 4. Now, using the following formula, you can find the deposit amount (P):                                                              

$A = P\left(1 + \frac{r}{n}\right)^{nt}$where, $A = 10000$ (payment to be made after one year)$P$ is the amount of deposit required to make the payment of $10000$After substituting the values,$10000 = P\left(1 + \frac{0.01}{4}\right)^{4\times1}$Or, $10000 = P\left(1.0025\right)^{4}$Or, $10000 = P\times1.01005063$Therefore,$P = \frac{10000}{1.01005063}$$P = 9899.03088$The amount to be deposited at the end of each quarter should be $9899.03088$, rounded to the nearest cent.  Given,The amount you plan to deposit in each payment (P) is $1000$, the time duration for which the money is deposited (t) is $3$ years and the number of times the interest is compounded in a year (n) is $2$. The bank pays 4% nominal interest, compounded semi-annually. First payment is made in 6 months.Now, using the following formula, we can calculate the amount (A) in your account after 3 years.$A = P\left(1 + \frac{r}{n}\right)^{nt}$Where r is the nominal interest rate and n is the number of times the interest is compounded in a year.We need to calculate the effective interest rate (r) first:$r = \frac{4\%}{2} = 2\%$Now, we can put the values in the formula.$A = 1000\left(1 + \frac{0.02}{2}\right)^{2\times3}$$A = 1000\left(1.01\right)^{6}$$A = 1000\times1.061051$$A = 1061.051$The amount in your account after 3 years will be $1061.051, rounded to the nearest cent.                                          Given,One year from today, you have to make a payment of $10000$. You plan to make two equal quarterly deposits (at the end of quarters 1 and 2) in a bank that pays 4% nominal interest compounded quarterly.        Using the following formula, we can calculate the deposit amount (P) required to make the payment after one year.$A = P\left(1 + \frac{r}{n}\right)^{nt}$Where r is the nominal interest rate and n is the number of times the interest is compounded in a year.We need to calculate the effective interest rate (r) first:$r = \frac{4\%}{4} = 1\%$Now, we can put the values in the formula.$10000 = P\left(1 + \frac{0.01}{4}\right)^{4\times1}$$10000 = P\times1.01005063$Therefore,$P = \frac{10000}{1.01005063}$$P = 9899.03088$The amount to be deposited at the end of each quarter should be $9899.03088$, rounded to the nearest cent.

You will have $1061.051 in your account after 3 years if you make five deposits of $1000 each, one every 6 months with the first payment being made in 6 months and if the bank pays 4% nominal interest, compounded semi-annually.In the second part, if you have to make a payment of $10000 one year from today, you will need to make two equal quarterly deposits of $9899.03088 each in a bank that pays 4% nominal interest compounded quarterly.

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To find the volume of the solid that lies under the elliptical paraboloid z = 4x^2 + 2y^2 + 1 and above the rectangle R = [1, 2] × [0, 2], we can integrate the function over the given region.

The volume V can be calculated using a double integral:

V = ∬R (4x^2 + 2y^2 + 1) dA

Here, R represents the region of integration defined by the rectangle [1, 2] × [0, 2], and dA represents the differential area element.

Breaking down the integral, we have:

V = ∫[1,2] ∫[0,2] (4x^2 + 2y^2 + 1) dy dx

Evaluating the inner integral with respect to y:

V = ∫[1,2] [(4x^2)y + (2y^3)/3 + y] dy

V = ∫[1,2] [(4x^2 + 2/3)y^3 + y] dy

Now, evaluating the outer integral with respect to x:

V = ∫[1,2] [(4x^2 + 2/3)(2)^3 + 2] dx

V = ∫[1,2] [(32/3)x^2 + 2] dx

Integrating:

V = [(32/3)(x^3)/3 + 2x] evaluated from x = 1 to x = 2

V = [(32/3)(8/3) + 4] - [(32/3)(1/3) + 2]

V = (256/9 + 4) - (32/9 + 2)

V = 320/9 - 50/9

V = 270/9

V = 30

Therefore, the volume of the solid is 30 cubic units.

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Answer:

x = -7

Step-by-step explanation:

-30 = 5(x+1)

First, multiply out the 5

-30 = 5x + 5

Then subtract 5 from each side

-35 = 5x

Finally, divide each side by 5

-7 = x

Answer:

x = -7

Step-by-step explanation:

-30 = 5 (x + 1)

5 x -6 = -30

so x + 1 needs to equal -6

-7 + 1 = -6

so x = -7

-30 = 5(-7 + 1)

Answer:

4x² + 3

Step-by-step explanation:

To obtain g(f(x))), substitute x = f(x) into g(x), that is

g(2x)

= (2x)² + 3

= 4x² + 3

Answer:

The answer is C

Step-by-step explanation:

Answer:

tens

Step-by-step explanation:

Answer:

- 36

Step-by-step explanation:

First evaluate g(18), then substitute the value obtained into h(x), then substitute the value obtained here into f(x).

g(18) = [tex]\sqrt{2(18)}[/tex] = [tex]\sqrt{36}[/tex] = 6, then

h(6) = | 4(6) | - 12 = | 24 | - 12 = 24 - 12 = 12, then

f(12) = - 3(12) = - 36

Answer:

The height (in feet) at which the laser will impact the wall is 6.75 feet

Step-by-step explanation:

The given parameters are;

The height from which the laser beam operator is holding the laser = 9 feet

The horizontal distance away from the pointer the beam is reflected = 8 feet

Given that we have;

[tex]f(x) = \dfrac{9}{8} \times \left | x - 8\right | = y[/tex]

When x = 8, the point of reflection, the height, f(x) is given as follows;

[tex]f(x) = \dfrac{9}{8} \times \left | 8 - 8\right | = 0[/tex]

When x = 7, the point of reflection, the height, f(x) is given as follows;

[tex]f(x) = \dfrac{9}{8} \times \left | 7 - 8\right | = \dfrac{9}{8}[/tex]

Therefore, given that the point of reflection is at an elevation of 0 relative to the 9 feet of the laser source (pointer), by tan rule, we have;

[tex]tan(\theta) = \dfrac{Opposite \ side}{Adjacent \ side} =\dfrac{9}{8} = \dfrac{h}{7}[/tex]

Where;

h = The height at which the laser meets the wall

[tex]h = \dfrac{9 \times 7}{8} =7.875[/tex]

Given that the wall the laser meets is at the point x with elevation 9/8, the height, y, at which the laser meets the wall is therefore;

[tex]y = \dfrac{9 \times 7}{8} - \dfrac{9}{8} = \dfrac{54}{8} = 6.75 \ feet[/tex]

The height (in feet) at which the laser will impact the wall = 6.75 feet.