Jan has a car worth $3500. She still owes $1000 on the loan. She also borrowed $800 on a credit card. What are her total liabilities?

Answer:

C. 43.00

Step-by-step explanation:

If we add up the amount she paid for shirts we would get 35, then we subtract 78 by 35 to get our answer.

Answer:

6x+8=16

or,6x=16-8

or,6x=8

or,x=4 by 3

In other words, the rule for the reflection of the first image would be: (x, y) → (y, x), resulting in the reflected image: (3, 2), (4, 2), (4, 4).

Transformation generally refers to the process of changing or converting something from one form or state to another. It can be applied to various fields such as mathematics, physics, biology, and business. In mathematics, transformation refers to a change in the shape, size, or position of a geometric figure. This can include translations, rotations, reflections, and dilations.

Here,

1. The reflection of the original image across the line y = x can be described by the following rule:

(x, y) → (y, x)

So, applying this rule to each point in the original image, we get:

(-3, -2) → (-2, -3)

(-2, -4) → (-4, -2)

(-4, -4) → (-4, -4)

Then, we add the corresponding values of x and y in the reflected image to get:

(-2, -3) + (5, 5) → (3, 2)

(-4, -2) + (6, 6) → (2, 4)

(-4, -4) + (8, 8) → (4, 4)

So, the reflected image is (3, 2), (2, 4), (4, 4).

2. The reflection of the original image across the line y = x - 5 can be described by the following rule:

(x, y) → (y + 5, x)

So, applying this rule to each point in the original image, we get:

(-1, 4) → (9, -1)

(-2, 4) → (8, -2)

(-2, 3) → (7, -2)

(-3, 3) → (8, -3)

(-3, 2) → (7, -3)

(-1, 2) → (7, -1)

Then, we add the corresponding values of x and y in the reflected image to get:

(9, -1) + (-6, 3) → (3, 2)

(8, -2) + (-5, 6) → (3, 4)

(7, -2) + (-5, 7) → (4, 4)

(8, -3) + (-4, 7) → (4, 3)

(7, -3) + (-4, 8) → (5, 3)

(7, -1) + (-2, 8) → (5, 2)

So, the reflected image is (3, 2), (3, 4), (4, 4), (4, 3), (5, 3), (5, 2).

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The number that will go in between 0.438 and 44% in the thousandth place is 9 and the number is

This is found by converting all the given number to decimal

0.438

the thousandth place has number 8

44% = 0.440

The thousandth place has number 0

4/9 = 0.44444

this is greater than the two numbers and hence cannot go in between them

9/20 = 0.45

this is greater than the two numbers and hence cannot go in between them

checking the two numbers 0.438 and 0.440 the number that can go in between them is 0.439

9 in thousandth place is 0.009

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Answer:

£26.77

Step-by-step explanation:

450(100% + 2%)^6

= 450 (1.02)^6

= 506.77.

506.77 - 480 - 26.77.

Riley had £26.77 left.

Answer:

C:

Step-by-step explanation:

In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc

So

AQD = ARC AD/2

<AQD = 78/2

<AQD = 39°

Answer:    8.3 or C  

Eplanation: This is because a half life is 50 percent of a normal life so 50 percent divided by 6 is 8.3

\(8.3\)% is the approximate decay rate of the element after the first day.

What is Radioactive decay ?

Radioactive decay is the process by which an unstable atomic nucleus loses energy by radiation. A material containing unstable nuclei is considered radioactive. Three of the most common types of decay are alpha decay, beta decay, and gamma decay, all of which involve emitting one or more particles.

What is decay rate?

The rate of decay, or activity, of a sample of a radioactive substance is the decrease in the number of radioactive nuclei per unit time.

According to question, a radioactive element has a half-life of six days.

A half- life is \(50\)% of a normal life.

So, the approximate decay rate of the element after the first day

\(=\frac{50}{6}\)% \(=8.3\)%

Hence, we can conclude that \(8.3\)% is the approximate decay rate of the element after the first day.

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The value of fraction 0.5 7  is equal to 1/2.

We are given that;

Number = 0.57

Now,

There are different ways to express a fraction as a decimal, but one common method is to divide the numerator by the denominator.

For example, 1/2 as a decimal is 1 ÷ 2 = 0.512.

Another method is to use a fraction to decimal conversion chart or calculator345. According to these sources, 0.5 as a fraction is equal to 5/10 or 1/2.

These fractions are equivalent because they have the same value when simplified or reduced.

To simplify a fraction, we can divide both the numerator and the denominator by their greatest common factor (GCF).

Therefore, by algebra the answer will be 1/2.

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Answer:

c

Step-by-step explanation:

100% sure and correct :) ❤️

(a) The algebraic expression, -5x - 2 + 5x + 2 is simplified as 0.

(b) The algebraic expression, 5x -2  - (5x + 2) is simplified as -4.

The given algebraic expression is simplified by adding similar terms together, as it will make the expression to be in simplest form.

The given algebraic expressions are;

-5x - 2 + 5x + 2

5x -2  - (5x + 2)

The first algebraic expression is simplified as follows;

-5x - 2 + 5x + 2

collect similar terms;

(-5x + 5x) + (-2 + 2)

= 0 + 0

= 0

The second algebraic expression is simplified as follows;

5x - 2 - (5x + 2)

= 5x - 2 - 5x - 2

collect similar terms;

= (5x - 5x) + (-2 - 2)

= 0 - 4

= - 4

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The correct value of x are,

⇒ x = 2

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

The circle is shown in figure.

Now, We can formulate;

⇒ EC × ED = EB × EA

Here, We have;

⇒ EC = (x + 4)

⇒ ED = (x + 4 + 1) = (x + 5)

⇒ EB = (x + 1)

⇒ ED = (x + 1 + 11) = (x + 12)

Hence, We can formulate;

⇒ EC × ED = EB × EA

⇒ (x + 4) (x + 5) = (x + 1) (x + 12)

⇒ x² + 4x + 5x + 20 = x² + 12x + x + 12

⇒ 9x + 20 = 13x + 12

⇒ 20 - 12 = 13x - 9x

⇒ 8 = 4x

⇒ x = 2

Thus, The correct value of x are,

⇒ x = 2

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Answer:

3125

32

Step-by-step explanation:

\(formula = a {r}^{n - 1?} \)

r=5

2

a=1

n=6

1×5 (6-1)

2

5 (5)

2

=3125

32

To calculate the surface area of a rectangular prism, we need to find the area of each of its six faces and then add them up. In this case, the dimensions of the shape are:

Refer to the attachment below.

There are three pairs of faces on a rectangular prism:

8 cm × 3 cm = 24 cm²

Since there are two of these faces, the total area is:

2 × 24 = 48 cm²

8 cm × 6 cm = 48 cm²

Since there are two of these faces, the total area is:

2 × 48 = 96 cm²

3 cm × 6 cm = 18 cm²

Since there are two of these faces, the total area is:

2 × 18 = 36 cm²

Now, add up the areas of all six faces:

Surface Area = 48 + 96 + 36 = 180 cm²

So, the surface area of the rectangular prism is 180 cm².

________________________________________________________

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(a) 40 unit have to be the number of units sold that will yield maximum revenue.

(b) The price per unit that will yield maximum revenue, will be $1.195.

(a) We have to find the number of units sold that will yield maximum revenue

Given demand function is

D(x)=130e^{-0.025x}

where is the number of units sold each week

Revenue function R(x) = xD(x)

R(x) = x∙130e^{-0.025x}

To find maximum revenue put,

R’(x) = 0

⇒d/dx(x∙130e^{-0.025x}) = 0

⇒130 d/dx(x∙e^{-0.025x}) = 0

⇒130[e^{-0.025x}+xe^{-0.025x} ∙(-0.025x)]=0

⇒130e^{-0.025x} ∙(1-0.025x)=0

⇒1 - 0.025x=0

⇒0.025x = 1

⇒x = 1/0.025

⇒x = 40units

R''(x) = 130d/d[x(e^{-0.025x}-0.025xe^{-0.025x} )]

R''(x) = 130[-0.025e^{-0.025x}-0.025e^{-0.025x}+0.00625xe^{-0.025x}]

R''(x)|x=40 = 130-0.025*40[0.050+0.00625*40]

R''(x)|x=40 = 130/e ∙(-0.025)

R''(x)|x=40 = (130*(-0.025))/e < 0

At x= 40 units, the revenue will maximize.

$0 units will yield maximum revenue.

(2) Now we have to find the price per unit that will yield maximum revenue.

D(x) = 130e-0.025x

D(40) = 130e^{-0.025*40}

D(40) = 130e^{-1}

D(40) = 130/e

D(40) = 47.82(in dollar)

Price per unit = d(40)/40

Price per unit = 47.82/40

Price per unit = $1.195

The price per unit that will yield maximum revenue, will be $1.195.

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Answer:

x = 10

Step-by-step explanation:

\(4 (\frac{1}{2}x - 3 ) = 8\)

4 came from the number of people, Donavon, and 3 friends; 1 + 3 = 4

\(\frac{1}{2}\) came from the amount they spent on rides; They each spent \(\frac{1}{2}\) their money on rides

(-3) came from the amount they spent on food, Then they each spend $3 on food.

8 came from the total amount they had left; Donavon and his three friends have a total of $8 remaining.

4 (  \(\frac{1}{2}\)x - 3 ) = 8

Distribute;

4 (  \(\frac{1}{2}\)x - 3 ) = 8

2x - 12 = 8

Inverse operations;

2x - 12= 8

    +12    +12

2x = 20

/2   /2

x = 10

Answer:

380 seconds

Step-by-step explanation:

Convert 6 minutes to seconds by multiplying 6 times 60, because there are 60 seconds per minute.
6 x 60 = 360

Now add the 20 seconds.
360 + 20 = 380

6 minutes and 20 seconds are equal to 380 seconds.

Answer:

The answer is A

Step-by-step explanation:

0.2% of 500 is 1 so in two year she would have 502$

Answer:

33

Step-by-step explanation:

Split it into two different rectangles. This way you have a triangle with lw = 2 * 11 and one with 2 * 5. Adding them together gets you 22 + 10. You then have an area of 33.

The volume of the figure is 54 cubic units

Since we are not given a figure, we can assume it as a rectangular prism:

Area of the rectangular prism = a²b

Given that a = 3 units and b = 6 units, the required volume is expressed as:

V = 3² * 6

V = 9 * 6

V = 54 cubic units

Hence the volume of the figure is 54 cubic units

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The solution of Equation are (5/2, 4/3).

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

3x+5y=14..........(1)

6x - 4y=9..............(2)

Solving equation (1) and (2) we get

3x + 5y = 14

Subtract 3x from both sides.

5y = 14 - 3x

Divide by 5 on both sides.

y = -3/5x + 14/5

and, 6x - 4y = 9

Subtract 6x from both sides.

-4y = 9 - 6x

Divide by -4 on both sides.

y = 3/2x - 9/4

From the graph we get

x = 2.405

y= 1.375

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Answer:

3

Step-by-step explanation:

subtract 4 from 1/6 of 42. In middle school my traxhers always told me that of menas multiply, and in this situation it still holds. 1/6 x 42 is 42/6 or 42 divided by 6 which is 7. So now that makes this simpler, its saying subtract 4 from 7, so 7-4 =3

The correct calculation of the standard deviation of the sampling distribution of p_hat subscript s - p_hat subscript p is 0.0934.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We are given that;

Percentage of students with laptop=68%

Percentage of professors with laptop=43%

p_s = 0.68 and p_p = 0.43.

Now,

The formula for the standard deviation of the sampling distribution of the difference between two sample proportions is:

sqrt[(p_s * (1 - p_s) / n_s) + (p_p * (1 - p_p) / n_p)]

where p_s and p_p are the population proportions of students and professors who have a laptop, respectively, n_s and n_p are the sample sizes of students and professors, respectively.

We are also given that 56 students and 31 professors were selected at random and asked if they have a laptop. Therefore, n_s = 56 and n_p = 31.

Substituting these values into the formula, we get:

sqrt[(0.68 * (1 - 0.68) / 56) + (0.43 * (1 - 0.43) / 31)]

sqrt[0.00367143 + 0.00505484]

= sqrt(0.00872627)

= 0.0934 (rounded to four decimal places)

Therefore, by standard deviation the answer will be 0.0934.

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Answer: 0.02655

Step-by-step explanation:

Explanation: The formula for finding the probability of no successes in a binomial experiment is given by (1 - p)^n, where p is the probability of success in a single trial and n is the number of trials. In this case, p = 0.30 and n = 6. So, the probability of no successes is (1 - 0.30)^6 = 0.02655.

The methods to reduce the risk of tuberculosis include Educating patients on respiratory hygiene

What is tuberculosis?

Mycobacterium tuberculosis is the bacteria that causes tuberculosis (TB). TB germs often attack the lungs, but they can attack any region of the body, including the kidney, spine, and brain.

When an infected individual coughs or sneezes, the germs that cause tuberculosis spread. The majority of people who are infected with the germs that cause tuberculosis do not show symptoms. When symptoms do appear, they are typically accompanied by a cough (sometimes blood-tinged), weight loss, night sweats, and fever.

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Answer:

Step-by-step explanation:

The sum of supplementary angles is 180°.

5x+95 = 180

5x = 85

x = 17°

The required amount invested in accounts with 8% and 12% are $1470 and $1820 respectively.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Lydia has money in two savings accounts one rate is 8% and the other is 12%  and the total interest is $336. Let the amount invest in accounts be x and y respectively.
According to the question,
0.08x + 0.12y = 336 - - - - - -(1)

Again,
she has $350 more in 12% account
y = x + 350 - - - - - -(2)

Put y in equation 1,
0.08x + 0.12[x + 350] =336
0.08x + 0.12x + 42 = 336
0.20x = 336 - 42
x = 294/0.20
x = $1470

Now

y = 1470 + 350
y = $1820

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The proportion equivalent with Two-thirds would be 6/9.

Since we know that the proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We are given that the  proportion with Two-thirds

If you actually divide it’ll make since , so first  we want to divide the 2 , then you want to multiply the third of the two

2/3 x 3/3

6/9

thus, the answer will be 6/9.

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Answer:

y=25000(0.84)^ty=25000(0.84)^3y=$14817.6

Step-by-step explanation:

Answer:

$10,546.88

Step-by-step explanation:

25,000(0.75)^3 is the formula/function you would use, which gives you 10,546.875, and then you'd round to the nearest hundredth.

Also took the exam

Answer:

5 ft

Step-by-step explanation:

30/6 = 5

20/4 = 5

25/x = 5

25/5 = 5

x = 5

Answer:

5 feet

Step-by-step explanation:

the triangles are scaled by the factor of 5