A package of 24 pencils costs $3.60. What is the cost per pencil?

Answer:

Step-by-step explanation:

Midpoint of JK:

Slope of the line JK:

Perpendicular lines have negative reciprocal slopes.

So the line r has a slope 5/2 and passes through the point (-2, -1)

Equation of r:

So the equation is:

Answer:

74

Step-by-step explanation:

Answer: 0.03$ per container or 3 cents per container.

Step-by-step explanation: 2.70/90=0.03.

Answer:

It's either 0.03 or 2.70

Step-by-step explanation:

Answer:

B. The distance from the retailer decreases with time, D. The distributor is 73.6 miles away from the retailer, E. The truck is traveling at a rate of 67.8 miles per hour.

Answers: B, D, E.    

Step-by-step explanation:

Answer:

2 over 5

Step-by-step explanation:

Common ratio =

7/ (35/2) = (14/2) / 7

Our answer became 2/5

Answer:

The slope is 9/4.

Step-by-step explanation:

In the equation y=mx+b, the slope is m. In you're case, the m=9/4.

Answer: EGF

Step-by-step explanation:

Answer:

Sorry im not good at math

Answer:

[tex] 3 < x < 4 [/tex]

Step-by-step explanation:

The graph shows a conjunction. Meaning, both statements of the compound inequality are true.

The empty circle shows that the values of x do not include 3 and 4. This means that x is greater than 3 and x is less than 4.

The compound inequality would be written as:

[tex] 3 < x < 4 [/tex]

Answer:

B. m<B=50

C. m<C=65

Step-by-step explanation:

We know that the interior angles of a triangle add up to 180 so knowing that A and C would be the same because of the fact it’s isosceles, the measure of A+C=130 meaning measure of missing angle B would be 50.

Answer:

B and C

Step-by-step explanation:

Answer:

proportion=a statement that says two ratios are equal

constant of proportionality= the constant value relating two proportional quantities

cross multiplication= a statement that sets the cross products of a proportion equal to each other

proportional relationship= the relationship between two quantities that have a constant ratio

i just did this so you can mark the other person brainlist

Answer:

SAS

Step-by-step explanation:

You have two pairs of congruent sides that are congruent.

The included angles are vertical angles, so they are congruent.

That means you have two sides and the included angle in each triangle.

Answer: SAS

Answer:

I'm gonna guess and I don't know. I'm gonna go with C or A

Answer:

A

Step-by-step explanation:

I Just Took the Test.

Answer:

(a) The total expenditures per household in the year 2008 were approximately $3,080.

(b) The spending reached $2875 per household in 2006.

Step-by-step explanation:

Note: This question is not complete, and the part c is not another question but the same question as part a. The complete question is therefore provided before answering the question as follows:

Out of-pocket spending in a country for health care increased between 2003 and 2008. The function f(x) = 2574e^(0.0359x) models average annual expenditures per household, in dollars. In this model, x represents the year, where x = 0 corresponds to 2003.

(a) Estimate out-of-pocket household spending on health care in 2008.

(b) Determine the year when spending reached $2875 per household

The explanation to the answer is now given as follows:

(a) Estimate out-of-pocket household spending on health care in 2008.

Given;

f(x) = 2574e^(0.0359x) ........................ (1)

Since x = 0 corresponds to 2003; by counting from 2003 to 2008, it implies that x = 5 corresponds to 2008.

Substituting x = 5 into equation (1) to estimate out-of-pocket household spending on health care in 2008, we have:

f(6) = 2574e^(0.0359 * 5)

f(6) = 2574 * 1.19661890406748

f(6) = 3,080.09705906969

Rounding to the nearest dollar as needed, we have:

f(6) = $3,080

Therefore, the total expenditures per household in the year 2008 were approximately $3,080.

(b) Determine the year when spending reached $2875 per household

This can be determined using equation (1) in part a by equating f(x) to $2875 solve for x as follows:

2875 = 2574e^(0.0359x)

2875 /2574 = e^(0.0359x)

1.11693861693862 = e^(0.0359x)

Taking the natural log of both sides, we have:

ln(1.11693861693862) = ln(e^(0.0359x))

0.110591565075382 = 0.0359x

x = 0.110591565075382 / 0.0359

x = 3.0805449881722

Approximating to a whole number, we have:

x = 3

Since x = 0 corresponds to 2003; by counting from 2003, x = 3 corresponds to 2006.

Therefore, the spending reached $2875 per household in 2006.

An exponential model can be found when two data points from the model are known.

The total expenditures per household in the year 2008 were near $3,080.

The spending reached $2875 per household in year 2006

(a). Out of-pocket spending in a country for health care given by function,         [tex]f(x) = 2574e^{0.0359x}[/tex]

Since [tex]x = 0[/tex] corresponds to 2003, Similarly, x = 5 corresponds to 2008.

Substituting x = 5 into above function to estimate out-of-pocket household spending on health care in 2008

[tex]f(5) = 2574e^{0.0359*5} \\\\f(5)=3080[/tex]

f(5) = $3,080

Therefore, the total expenditures per household in the year 2008 were approximately $3,080.

(b). To determine the year when spending reached $2875 per household

 [tex]2875 = 2574e^{0.0359x} \\\\2875/2574=e^{0.0359x} \\\\1.1169=e^{0.0359x}[/tex]

 Taking natural log on both side

[tex]x=\frac{ln(1.1169)}{0.0359} =3.07[/tex]

Since x = 0 corresponds to 2003, So  x = 3 corresponds to 2006.

Therefore, the spending reached $2875 per household in 2006.

Learn more:

https://brainly.com/question/12375190

Answer:

D). g(x) = - x² - 4

Step-by-step explanation:

D). g(x) = - x² - 4

Answer: D

Step-by-step explanation: This has to do with Transformations. With transformations, it follows this formula:

A (Bx±C) ± D

A is a vertical transformation where the graph is pulled upwards or squished downwards. If it is a whole number, like 2, the graph is pulled (stretched) up. If it is a fraction, like 1/2, the graph is squished.

B is a horizontal transformation where the graph is stretched outwards or squished inwards (think: accordian). If it is a whole number, like 2, the graph is squished inwards. If it is a fraction, like 1/2, the graph is stretched outwards.

C is a shift right or left. In this case, the ENTIRE graph moves right or left by C. If it is x+C, the graph moves left. If it is x-C, the graph moves right.

D is a shift up or down. In this case, the ENTIRE graph moves up or down by D. If it is +D, the grapjh moves up. If it is -D, the graph moves down.

If there are no Parenthesis or Square Root for B and C to be inside of, then there is no B and C. For the graph of x², for example, you might only have

Ax² ± D.

A graph of x² with parenthesis might look like this

A (Bx²± C) ± D.

Finally, if there is a negative (-) in front of A, that means the entire graph flips accross the x-axis, upsidown. If it is a parabola (x²), then the 'opening' or 'U-shape' faces down when there is a negative in front of A.

Ok, now that the basics are taken care of, we can analyze the graph provided. We are given with the basic graph of x². The first obvious noteicable thing we see is the fact that the new graph, g(x), has been moved down by 4 units.

We know that a shift Downwards is an effect of D, so we know  the graph of g(x) looks like this so far:

x² - 4

However, that is not the only transformation that we can notice about g(x). We see that g(x) is flipped upsidown, with its 'U-shape' facing downwards. We know that this is because there is a negative in front of A.

So, g(x) looks like this now:

- x² - 4

After careful examination, there are no other noticeable transformations, so we figure out that g(x) = - x² - 4.

Answer: x(x-7)+y(7-y).

X and Y are common factors so you can factor both out and get this.

Answer:

Jadon is 18yrs

Cousin 6 yrs

Step-by-step explanation:

Answer:

Jason is 18 years old and his cousin is 6 years old.

Step-by-step explanation:

Just took the test

Answer: C. Increase the sample size

Step-by-step explanation: The confidence interval is a interval estimate of two numbers. From the question, the width confidence interval

Can be modified into a more narrow margin by reducing the standard error. The standard error is the value obtained from the division of standard deviation and the square root of sample size. Hence, a decrease in the standard error will give a more narrow confidence interval estimate. The standard error can be reduced by increasing the denominator of the standard error formula which is the sample size.

Answer:

15 oatmeal cookies.

Answer:

210

Step-by-step explanation:

If each floor was 14 ft, and they want 15 floors, you would do 14 x 15, which equals 210

Answer:

Simplifying

(5n + -3) + -1(-2n + 7) = 0

Reorder the terms:

(-3 + 5n) + -1(-2n + 7) = 0

Remove parenthesis around (-3 + 5n)

-3 + 5n + -1(-2n + 7) = 0

Reorder the terms:

-3 + 5n + -1(7 + -2n) = 0

-3 + 5n + (7 * -1 + -2n * -1) = 0

-3 + 5n + (-7 + 2n) = 0

Reorder the terms:

-3 + -7 + 5n + 2n = 0

Combine like terms: -3 + -7 = -10

-10 + 5n + 2n = 0

Combine like terms: 5n + 2n = 7n

-10 + 7n = 0

Solving

-10 + 7n = 0

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 7n = 0 + 10

Combine like terms: -10 + 10 = 0

0 + 7n = 0 + 10

7n = 0 + 10

Combine like terms: 0 + 10 = 10

7n = 10

Divide each side by '7'.

n = 1.428571429

Simplifying

n = 1.428571429

Answer:

79-10

Step-by-step explanation:

Brainliest please.

Answer:

45

Step-by-step explanation:

Just plug in 12 wherever "z" is so,

[tex]5^2-\frac{12}{3} +2(12)[/tex]    simplify the equation  ⇒ [tex]25-4+24[/tex]

25-4=21

21+24=45

subtract and add as needed and finally our answer is

45

Answer:

4

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

please give me brianliest

Answer:

B) 2828.427g

Step-by-step explanation:

Hope this helps!

Answer:

25

Step-by-step explanation:

I'm not really good at math but I think 25 is the answe

Answer:

The amount invested in the account paid 4% is $1150

The amount invested in the account paid 6% is $600

Step-by-step explanation:

The rule of the simple interest is I = Prt, where

∵ Helene invested a total of $1,750 in two simple-interest bank accounts

∴ P1 + P2 = 1750 ⇒ (1)

∵ One account paid 4% annual interest

∴ r1 = 4% = 4/100 = 0.04

∵ The other paid 6% annual interest

∴ r2 = 6% = 6/100 = 0.06

∵ The total amount of interest she earned after 1 year was $82

∴ I1 + I2 = 82 ⇒ (2)

∵ t = 1

∵ I1 = P1 × (0.04) × 1

∴ I1 = 0.04 P1

∵ I2 = P2 × (0.06) × 1

∴ I2 = 0.06 P2

→ Substitute them in equation (2)

∴ 0.04 P1 + 0.06 P2 = 82 ⇒ (3)

Now we have a system of equations to solve it

→ Multiply equation (1) by -0.06 to make the coefficients of y equal in

   values and different in signs to eliminate it

∵ -0.06(P1) + -0.06(P2) = -0.06(1750)

∴ -0.06 P1 + -0.06 P2 = -105 ⇒ (4)

→ Add equations (3) and (4)

∵ (0.04 P1 + -0.06 P2) + (0.06 P2 + -0.06 P2) = (82 + -105)

∴ -0.02 P1 + 0 P2 = -23

∴ -0.02 P1 = -23

→ Divide both sides by -0.02

∴ P1 = 1150

→ Substitute the value of P1 in equation (1) to find P2

∵ 1150 + P2 = 1750

→ Subtract both sides by 1150 to find P2

∴ P2 = 600

∴ The amount invested in the account paid 4% is $1150

∴ The amount invested in the account paid 6% is $600

Answer:

x=24

Step-by-step explanation:

180-96=84

2x+x+12=84

3x+12=84

3x=72

x=24

Answer:

x=24°

Step-by-step explanation:

180-96=84

2x+x+12=84

3x+12=84

-12 -12

3x=72

3x/3=72/3

x=24

hopefully this helps :)

Answer:

16.0%

16.0%

Step-by-step explanation:

Given that :

First $20,000 is exempt from tax

$20000 to $50000 = 12% tax rate

Over $50000 = 16% tax rate

Earning = $90000

Since earning is greater than $50000

Tax rate = 16% = 0.16

Average tax rate = tax paid / taxable income

Tax paid = 0.16 * 90,000 = $14,400

Average tax rate = 14,400 / 90,000

Average tax rate = 0.16 = 16%

Marginal tax rate :

Change in tax paid / change in earning

Suppose ; amount earned increases to 95,000

Tax paid = 95000 * 0.16 = 15200

Change in tax paid = (15200 - 14400) = 800

Change in earning = 95000 - 90000 = 5000

= 800 / 5000

= 0.16 = 16%

Marginal tax rate = 16%

Answer:

Step-by-step explanation:

8.012 x 10^-4

Answer:

8.012×10^-4

Step-by-step explanation:

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