Omar has $750 in his savings account, owes $800 on his car loan, and has a credit card balance of $250. What are the total amounts of Omar’s assets, liabilities and net worth (may be negative)?

Answer:

x = 8

y = 36

Step-by-step explanation:

The triangle shown in the image is an isosceles triangle.

We can find the value of x using the above mentioned information:

∠B = ∠A

5x = 40 divide both sides by 5

x = 8

The sum of interior angles in a triangle is equal to 180°.

Since ∠B and ∠C are both 40°:

40 + 40 + 3y - 8 = 180 add/subtract like terms

72 + 3y = 180 subtract 73 from both sides

3y = 108 divide both sides by 3

y = 36

Answer:

Ans: Rs 181.44.

Step-by-step explanation:

Answer:

perimeter = 28

Step-by-step explanation:

Tangents drawn to a circle from an external point are congruent, thus

AH = AB = 5

GH = GF = 2

EF = ED = 3

CB = CD = 4

Sum the 8 parts for perimeter of polygon ACEG

perimeter = 5 + 5 + 2 + 2 + 3 + 3 + 4 + 4 = 28

Answer:

true

Step-by-step explanation:

hope this helps have an amazing day!

Answer:

T

Step-by-step explanation:

hope it help

Answer:

A. 3.1316

B. 400

C. 58

D. 10.2

Step-by-step explanation:

Answer:

A. 3.1416, B. 365.24, C. 57, D. 10.2

Step-by-step explanation:

A. 3.14159 rounds up 1 because 9 is 5 or higher.

3.1416

B. 365.2418 doesn't round because the place before the hundredths is less than 5.

365.24

C. 57.432 stays the same because the number before the whole number is less than 5.

57

D. 10.2000 simplifies by removing the other zeros.

10.2

if the number of times you take the test were independent variable of the chance you fail what could that mean the difficulty of the test is consistent and unchanging.

The difficulty of the test is consistent and unchanging, making it so that the chance of failing is solely determined by the individual's performance on the test. Factors such as knowledge of the subject and the ability to focus can play a role in a person's success, but the actual chance of failing is not affected by how many times the test is taken. This means that those who fail the test will have to work harder and prepare better in order to pass it on the next attempt. Taking the test multiple times does not guarantee a higher chance of success, as the difficulty remains the same each time due to independent variable.

Learn more about independent variable here

https://brainly.com/question/29430246

#SPJ4

the EIR from this transaction is 16.25% (Option B, None of the above).

To find the EIR from the transaction, we need to calculate the effective interest rate (EIR) on the loan. The formula for EIR is:

EIR = [(1 + r/n)ⁿ - 1] x 100

where r is the nominal interest rate, and n is the number of compounding periods per year.

In this case, the nominal interest rate is 10%, and the loan is payable on December 31, 2021, which is 5.5 years from June 30, 2016. Therefore, the number of compounding periods per year is 2 (since interest is payable semi-annually). Substituting these values into the formula, we get:

EIR = [(1 + 0.10/2)₂ - 1] x 100 = 10.25%

However, the bank requires a maintaining balance of 6% for any amount borrowed. Therefore, the effective interest rate is increased by this amount. Adding 6% to the EIR, we get:

EIR = 10.25% + 6% = 16.25%

Therefore, the EIR from this transaction is 16.25% (Option B, None of the above).

Learn more about Interest here

https://brainly.com/question/12325365

#SPJ4

Answer:

405 miles

Step-by-step explanation:

Step 1:

4 : 90 = 18 : x   Proportion

Step 2:

4x = 1620   Multiply

Step 3:

1620 ÷ 4  Divide

Answer:

405 miles

Hope This Helps :)

a. The next term in the sequence is 303.75.

b. The sequence is a geometric sequence.

c. The recursive function for the sequence is: aₙ = aₙ₋₁ (1.5) for n≥2.

Given the sequence is : 60,90,135,202.5,....

a. the next term in the sequence is:

Find the common ratio by dividing any term in the sequence by the term that comes before it:

a₂/a₁ = 90/60 = 1.5

a₃/a₂ = 135/90 = 1.5

a₄/a₃ = 202.5/135 = 1.5

The common ratio (r) of the sequence is constant and equals the quotient of two consecutive terms.

r = 1.5

find the sum:

To find the sum of the series, plug the first term: a = 60, the common ratio(r): 1.5 and the number of elements n = 4 into the geometric series sum formula:

Sₙ = a(1₋rⁿ/1₋r)

Sₙ = 60(1 ₋ 1.5⁴/1₋1.5)

Sₙ = 60(1 ₋ 5.0625/1₋1.5)

S₄ = 60(8.125)

S₄ = 478.5

To find the general form of the series, plug the first term:

aₙ = 60×1.5ⁿ⁻¹

use the general form to find the next term:

a₁ = 60

a₂ = a₁rⁿ⁻¹ = 60(1.5)¹ = 90

a₃ = a₁rⁿ⁻¹ = 60(1.5)² = 135

a₄ = a₁rⁿ⁻¹ = 60(1.5)³ = 202.5

a₄ = a₁rⁿ⁻¹ = 60(1.5)⁴ = 303.75

hence the required next term is 303.75

(b) The above sequence is geometric sequence.

(c) recursive function for the sequence : aₙ = aₙ₋₁ (1.5) for n≥2.

Hence we get the required answers.

Learn more about Geometric progressions here:

brainly.com/question/24643676

#SPJ9

Using the graphs and the curves shown in the graph we can identify many characteristics from it. The intercepts are intersections with the axes and asymptotes are line running to infinity close to axes.

In mathematics, "graph" can refer to (at least) two different things. In elementary mathematics, the term "graph" designates a plot or a function graph. A graph is, in the language of mathematicians, a set of points and the connections between some subset of those points (which may be empty).

The points on a graph where the graph crosses the two axes are known as the intercepts (x-axis and y-axis). The x-coordinate is the location where the graph crosses the x-axis, and the y-coordinate is the location where the graph crosses the y-axis.

A line that keeps moving in the direction of a particular curve but never actually touches it.

x-intercept =  point where the curve of the function crosses x-axis.

y-intercept =  point where the curve of the function crosses y-axis.

Horizontal asymptotes =  curve which moves towards infinity along the x-axis but doesn't crosses the x-axis.

Vertical asymptotes =  curve which moves towards infinity along the y-axis but doesn't crosses the y-axis.

To learn more about graphs visit:

https://brainly.com/question/17267403

#SPJ4

Answer:

2(4)^-2

=2/4^2

2/16

1/8

thanks

Answer:

f(- 2) = \(\frac{1}{8}\)

Step-by-step explanation:

To find f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = 2 \((4)^{-2}\) = 2 × \(\frac{1}{4^2}\) = 2 × \(\frac{1}{16}\) = \(\frac{2}{16}\) = \(\frac{1}{8}\)

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

\((a-b)(a+c)\)

Step-by-step explanation:

Factor each half of the expression separately:

\(a^2-ba+ac-cb\\a(a-b)+c(a-b)\)

Since both a and c are being multiplied by a-b, we can combine them to get:

\((a-b)(a+c)\)

The populace is the concrete produced by a certain procedure. This population is conceptual since the concrete won't exist until the sampling procedure has created it.

It is frequently crucial to ascertain the type of population we are working with when asked to perform a sample of it. Sometimes we want to learn more about a lot of different things, like people, apple trees, cereal boxes, etc. Physical things make up the majority of this population. But occasionally, we work with a population that is determined by how well a certain method works (like flipping a coin). We cannot influence that population, but we are aware of its behavior. The population is the broad category of topics about which we are interested in learning more. Since we are dealing with concrete objects that we can touch and interact with, it is more particularly a tangible population.

Similar to the bag of marbles, we have a 50/50 probability of seeing each result. The population does not yet exist with the coin, which is the problem. To get a result, we must flip a coin. Although it is only a notional population, we nonetheless regard "all of the coin flips" as the conceptual population.

To learn more about population from given link

https://brainly.com/question/1437549

#SPJ4

Answer:

y=9x^2 + 8

Step-by-step explanation:

using the power rule, we will differentiate each term separately

d/dx of 3x^3 = (3)(3)x^(3-1) = 9x^2

d/dx of 8x = 8x^(1-1) = 8

d/dx of -7 = 0

combining them we get the derivative which is y = 9x^2 + 8

Answer:

9x² + 8

Step-by-step explanation:

The given function to us is ,

\(\implies y = 3x {}^{3} + 8x - 7\)

And we need to differentiate the given function with respect to x . Taking the given function and differenciating wrt x , we have

\(\implies y = 3x^3 + 8x - 7 \)

Recall that , the derivative of constant is 0 . Therefore ,

\(\implies \dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3 + 8x - 7) \\\\\implies\dfrac{dy }{dx}= \dfrac{d}{dx}(3x^3)+\dfrac{d}{dx}(8x) + 0 \\\\\implies\dfrac{dy }{dx}= 3\times 3 . x^{3-1} + 8\times 1 . x^{1-1} \\\\\implies\underline{\underline{\dfrac{dy }{dx}= 9x^2+8}} \)

Hence the derivative of given function is 9x² + 8 .

Answer:

D is the answer

Step-by-step explanation: Explanation:

The domain is the set of

x

-values that can be used to draw the function so,

You are unable to get a square-root of a negative number therefore the value under the square root must be

≥

0

.

Therefore we need all of the

x

-values that result in the value of

4

−

x

being

≥

0

.

4

−

x

≥

0

4

≥

x

x

≤

4

So all

x

-values

≤

4

will work in the equation. Now we right this in terms of all real numbers:

The Domain of

x

is all the real numbers expect when

x

>

4

(This produces a negative under the square root)

brainliest please

Answer:

Option 4.

Step-by-step explanation:

We know if under the square root is a negative, then it will become an imaginary number i.

We see that in order to make the square root negative, we would have to have a number smaller than 4.

√(x - 4)

√(4 - 4) = √0 = 0

√(3 - 4) = √-1 = i

Therefore, in order for f(x) to be real numbers, x ≥ 4, [4, ∞), or {x | x ≥ 4}

Answer:

113 g

Step-by-step explanation:

Express each weight in grams

34000 mg = 34000 ÷ 1000 = 34 g

0.059 Kg = 0.059 × 1000 = 59 g

Total weight

= 20 + 34 + 59 = 113 g

Step-by-step explanation:

the answer is 113

Answer:

The Answer for 19 is x+y=38.

The Answer for 20 is  2x+5y=100.

Answer:

$15.75

Step-by-step explanation:

Answer:

1,3

Step-by-step explanation:

a. The probability that a randomly selected American worker does not take a single nap during a month is approximately 0.0183, or 1.83%.

b. The probability that the total number of naps for two randomly selected American workers during a month is zero is approximately 0.0336, or 3.36%.

In the first step, the probability of a randomly selected American worker not taking a single nap during a month is calculated. Since the mean number of naps per month is four, the probability of not taking a nap can be found by using the Poisson distribution with a mean of four.

The formula for the Poisson distribution is P(x; μ) = (e−μ * μx) / x!, where x is the number of naps and μ is the mean. Plugging in x = 0 and μ = 4 into the formula, we get P(0; 4) = \((e^(^-^4^) * 4^0) / 0!\) ≈ 0.0183.

In the second step, the probability of the total number of naps for two randomly selected American workers being zero is calculated. This can be done by finding the probability of each worker not taking a nap and then multiplying those probabilities together. Since the probability of a worker not taking a nap is 0.0183, the probability of both workers not taking a nap is 0.0183 * 0.0183 ≈ 0.0336.

Learn more about probability

brainly.com/question/32560116

#SPJ11

Janet's choice to use Door Dash instead of Uber Eats can be explained using two concepts from Predictably irrational: the power of free offers and the influence of perceived value.

In Predictably Irrational, one example discussed is the "Zero Price Effect." People tend to be more attracted to offers that are free, even if the overall value may be similar or slightly inferior. Janet's decision to choose Door Dash can be attributed to the free delivery promo, which creates a perception of added value and savings, even if the food prices themselves are comparable.

Another concept is "The Decoy Effect." When presented with multiple options, a decoy is strategically introduced to influence decision-making. In this case, Door Dash's free delivery offer acts as a decoy, making the alternative (Uber Eats) seem less appealing in comparison.

Janet's choice is influenced by the allure of a free offer, creating a positive perception of Door Dash's value. The power of free and the decoy effect play a role in swaying her decision.

Janet's choice of Door Dash over Uber Eats exemplifies the impact of free offers and perceived value on decision-making. The free delivery promo provided by Door Dash creates a sense of added value and savings, making it a more appealing option. The presence of a decoy effect diminishes the attractiveness of Uber Eats.

To know more about irrational visit:

https://brainly.com/question/29204809

#SPJ11

Answer:

18 8/9

Step-by-step explanation:

5 2/3 = 17/3

17/3 divide 3/10 = 170/9

170/9 = 18 8/9

The future value of the deposits at the end of 5 years is approximately $6,138.74.

To calculate the future value of the deposits, we can use the formula for compound interest:

FV = P(1 + r/n)^(nt)

Where: FV is the future value

P is the principal amount (initial deposit)

r is the annual interest rate (3% in this case)

n is the number of times interest is compounded per year (quarterly in this case)

t is the number of years

In this case, the principal amount is $1,000, the annual interest rate is 3% (or 0.03), the number of times interest is compounded per year is 4 (quarterly), and the number of years is 5.

Plugging in these values into the formula, we get: FV = $1,000(1 + 0.03/4)^(4*5)

Calculating this, the future value of the deposits at the end of 5 years is approximately $6,138.74.

Learn more about interest rate at

https://brainly.com/question/32122915

#SPJ11

The simple 2D finite difference scheme you described is a common approach for discretizing and solving problems involving partial differential equations or approximating derivatives on a discrete grid.

In a simple 2D finite difference scheme, each point in a matrix is updated by taking a weighted average of its four neighboring points. This scheme is commonly used to approximate the derivatives of a function or solve partial differential equations on a discrete grid.

Let's consider a matrix with indices i and j, where a[i,j] represents the value at point (i,j). The update equation for each point in the matrix can be expressed as:

a[i,j] = w * (a[i-1,j] + a[i+1,j] + a[i,j-1] + a[i,j+1])

In this equation, a[i-1,j], a[i+1,j], a[i,j-1], and a[i,j+1] represent the neighboring points of a[i,j] in the horizontal and vertical directions. The weight factor w determines the contribution of each neighbor in the average. The specific values of the weights will depend on the specific finite difference scheme being used and the problem being solved.

The purpose of this update equation is to propagate information through the grid, allowing for the gradual convergence of values toward a solution. By iteratively applying this update equation to all points in the matrix, the values can be updated and refined over multiple iterations until a desired level of accuracy or convergence is achieved.

It's worth noting that the choice of weights and the specific details of the finite difference scheme can vary depending on the problem being solved and the desired accuracy or stability properties. Different schemes, such as central differences or forward/backward differences, may be used to approximate derivatives or solve different types of equations.

Overall, the simple 2D finite difference scheme you described is a common approach for discretizing and solving problems involving partial differential equations or approximating derivatives on a discrete grid.

To know more about matrix visit:

https://brainly.com/question/19863495

#SPJ11

The calculated value of the average of x, y, and z  is (b) m + 7

From the question, we have the following averages that can be used in our computation:

Using the formulas of arithmetic mean and average, we have

x = (m + 9)/2

y = (2m + 15)/2

z = (3m + 18)/2

The average of x, y, and z  is then represented as

Average = [(m + 9)/2 + (2m + 15)/2 + (3m + 18)/2]/3

Evaluate

Average = m + 7

Hence, the average of x, y, and z  is (b) m + 7

Read more about mean at

https://brainly.com/question/14532771

#SPJ1

The distance is always positive.

We want the distance between -1 and 1.

Lets look at a number line:

From -1 to 1, we can see that there are 2 units.

Hence, the distance between -1 and 1 is TWO

Answer:

See below

Step-by-step explanation:

I can't see the equation for 1

2) 8x = -24 + 2y (simplify for y)

8x + 24 = 2y

y = 4x + 12

Now plug in the numbers you wish to find

y = 4(-6) + 12

y = -12

1 = 4x + 12

-11 = 4x

x = - 2.75

y = 4(-2) + 12

y = 4

3) 5x + 5y = -15 (same thing)

5y = -15 -5x

y = -3 - x

5 = -3 -x

-8 = x

4 = -3 - x

-7 = x

y = -3 - 2

y = -5

Answer:

The probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be \(\frac{1}{5}\).

Step-by-step explanation:

We have 10 members out of which one is Harry, we need to choose one of the 10 members as President, one to be as secretary out of the remaining 9, one  as the treasurer of the remaining 8 members.

We want harry to be as either as secretary or as treasurer. so we will consider both the cases

Probability is given by = No of favorable outcomes/ Total no of outcomes

(1) Harry as secretary : If harry is to be chosen as secretary then he can't be a president or he cant be a Treasurer

  As president = \(\frac{1}{10}\)

  Not as president = \(1 - \frac{1}{10}\) = \(\frac{9}{10}\)

Now he is selected for the secretary so he can't be selected as treasurer.

Not as treasurer = 1

Probability for chosen as secretary = \(\frac{9}{10}*\frac{1}{9}*1\)  = \(\frac{1}{10}\)  

(2) Harry as treasurer : If harry is to be chosen as the treasurer so he can't be chosen as a President or as a Secretary.

Probability for not chosen as president = \(\frac{9}{10}\)

Probability for not chosen as secretary =  \(1-\frac{1}{9} = \frac{8}{9}\)

Probability to be chosen as treasurer = \(\frac{1}{8}\)

Probability to be chosen as Treasurer = \(\frac{9}{10}*\frac{8}{9}*\frac{1}{8}\) = \(\frac{1}{10}\)

Total probability for Harry to be chosen as either secretary or as treasurer will be = P(Secretary) +P(Treasurer)

           = \(\frac{1}{10} +\frac{1}{10} = \frac{1}{5}\)

Therefore the probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be \(\frac{1}{5}\).