Jennifer invested $12,000 in an account that pays 5% annual simple interest. She will not make any additional deposits or withdrawals. How much interest will Jennifer earn on her investment at the end of 3 years? A $650.00 B $800.00 C $ 1,800.00 D $ 13,891.50

The solution for b is y-mx in the equation y=mx+b.

The given equation is y=mx+b

y equal r=to m times of x plus b

We need to solve for b in the equation

To solve we have to isolate b from the equation

Subtract mx from both sides

y-mx=b

Hence, the solution for b is y-mx in the equation y=mx+b.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

The coordinates of points A and B are (-4, 5) and (2, 6) respectively. Point B is close to the origin by 0.1 unit

The positions or coordinates of points A and B are (-4, 5) and (2, 6) respectively

In order to use the Pythagorean Theorem to find the straight-line distance from each point to the origin (Consider the attached image):

Distance for point A

d = √((-4)²+5²)

d = √41 = 6.40 units

Distance for point A

d = √(2²+6²)

d = √40 = 6.32 units

To find which point is close to the origin and by how much:

The distance of B is less, so point B is close to the origin

Difference of distance =   6.40 - 6.32  = 0.08 ≈ 0.1 unit

Learn more about Pythagorean Theorem on:

brainly.com/question/231802

#SPJ1

If Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

Therefore, if Lisa spends her income on veggie burgers and pints of soy milk and the price of veggie burgers is three times the price of a pint of soy milk, then when Lisa maximizes her utility she will buy both goods until the marginal utility of veggie burgers is three times the marginal utility of soy milk.

Know more about marginal utility here:

https://brainly.com/question/15050855

#SPJ4

Here that everything is divided equally, we can say that the percentage of the diagram that is shaded equals the number of shaded parts divided by the total number of parts in the diagram.

How many of these portions to darken is determined by the fraction's numerator:

By being able to see how these charts interfere with one another, you may better comprehend the solar access at that location. This graph depicts the surrounding skyline as seen from a certain place and the course of the sun.

P= \(r^{2}\)

P = 6*6 =36 cm

Learn more about spinner Visit : brainly.com/question/29208072

#SPJ4

The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A is none of the given option.

The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A in Maxwell's equations are not fixed or predetermined to always be in the same direction, always in opposite directions, or always perpendicular to each other.

The orientations of these elements depend on the specific geometry and configuration of the electromagnetic field being considered. The direction of d Vector s is determined by the chosen path or curve along which the integration is performed.

The direction of d Vector A is determined by the orientation of the surface over which the integration is carried out. These orientations can vary depending on the specific problem and the shape of the path or surface involved.

Therefore, the correct answer is E. none of the above, as there is no fixed relationship between the directions of d Vector s and d Vector A in general.

Learn more about Maxwell's Equation here:

https://brainly.com/question/31648187

#SPJ4

The question attached here seems to be incomplete, the complete question is:

Two of Maxwell’s equations contain a path integral on the left side and an area integral on the right. The directions of the infinitesimal path element d Vector s and infinitesimal area element d Vector A are:  A. always in the same direction  B. always in opposite directions  C. always perpendicular to each other  D. never perpendicular to each other  E. none of the above

The probability to wait more than 15 seconds to connect is 50% and the probability to wait at least 10 more seconds after waiting 10 seconds is 33.33%.

x = old modem establish connection = [0, 30]

Probability density function or PDF is

f(x) = \(\frac{1}{b-a}\); 0 ≤ x ≤ 30

Probability to wait more than 15 seconds to connect is

f(X>5) = \(\int\limits^{30}_{15} {f(x)} \, dx\)

= \(\int\limits^{30}_{15} {\frac{1}{b-a}} \, dx\)

= \(\frac{1}{30-0} \, [x]^{30}_{15}\)

= \(\frac{30-15}{30}\)

= 0.5 or 50%

Probability if already waited 10 seconds and having to wait at least 10 more seconds is equal to wait at least 20 seconds from start. So,

f(X>5) = \(\int\limits^{30}_{20} {f(x)} \, dx\)

= \(\int\limits^{30}_{20} {\frac{1}{b-a}} \, dx\)

= \(\frac{1}{30-0} \, [x]^{30}_{20}\)

= \(\frac{30-20}{30}\)

= 0.3333 or 33.33%

Thus, the 50% probability to wait more than 15 seconds to connect and 33.33% probability to wait at least 20 seconds to connect.

Learn more about probability here:

brainly.com/question/29487191

#SPJ4

Answer: -5

h(0) = -5(0) - 5

h(0) = -5

Answer:

d

Step-by-step explanation:answer is d on edg

The solution is f ( x ) = ( -7/9 )x + 1

The equation of line is given by y = ( -7/9 )x + 1 , where the slope of the line is m = ( -7/9 ) and the y intercept is 1

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

The function f ( -9 ) = 8

So , the first point is P ( -9 , 8 )

The function f ( 0 ) = 1

So , the second point is Q ( 0 , 1 )

Now , the slope of the line is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 8 - 1 ) / -9

Slope me = -7/9

Now , the equation of line will be y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 1 = -7/9 ( x - 0 )

Multiply by 9 on both sides of the equation,  we get

9y - 9 = -7x

Adding 9 on both sides of the equation , we get

9y = -7x + 9

Divide by 9 on both sides of the equation , we get

y = ( -7/9 )x + 1

Therefore , the value of function f ( x ) = ( -7/9 )x + 1

Hence , the equation of line is y = ( -7/9 )x + 1

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

To understand the relation between Hollerith card code, EBCDIC, and ASCII, and how they relate to binary and hexadecimal number systems.
The relation between Hollerith card code, EBCDIC, and ASCII lies in their purpose, which is to represent data and characters using different encoding systems.

Explanation: -

1. Hollerith Card Code: Invented by Herman Hollerith, this code is used to represent data on punched cards. Each card contains a series of punched holes that correspond to characters or numbers, allowing data to be stored and processed.

2. EBCDIC (Extended Binary Coded Decimal Interchange Code): Developed by IBM, this character encoding system is used primarily in IBM mainframe computers. EBCDIC represents alphanumeric characters and special symbols using 8-bit binary codes.

3. ASCII (American Standard Code for Information Interchange): This widely-used character encoding system represents alphanumeric characters, control characters, and special symbols using 7-bit binary codes.

Here's how these encoding systems relate to binary and hexadecimal number systems:

Binary: Each character in EBCDIC and ASCII is represented using a unique combination of 0s and 1s. For example, in ASCII, the character 'A' is represented by the binary code '1000001'.

Hexadecimal: This number system is used to represent binary values in a more compact and human-readable format. It uses base 16 (0-9 and A-F) to represent binary numbers. For example, the binary code '1000001' (which represents 'A' in ASCII) can be represented in hexadecimal as '41'.

In summary, Hollerith card code, EBCDIC, and ASCII are different methods for encoding characters and data. They relate to binary and hexadecimal number systems by using these systems to represent characters in a compact, machine-readable format.

Know more about " Ebcdic and ascii" click here:

https://brainly.com/question/7851735

#SPJ11

Recall that to determine if a table represents a probability distribution, the sum of the probabilities must add up to 1, and all the probabilities have to be positive numbers less or equal to 1.

Now, notice that:

From the table, we notice that all the given probabilities are positive numbers between 0 and 1. Therefore, we can conclude that the given table represents a probability distribution.

Yes, it is a probability distribution.

Answer:

225, 256, 441, 484

Step-by-step explanation:

Only square numbers can have an odd number of factors, e.g. 4: 1, 2, 4

Therefore only square numbers can have 9 factors.

There are only 8 square numbers between 200 and 500: 225, 256, 289, 324, 361, 400, 441, 484.

One way is to list all the factors of each number and you will find that only 225, 256, 441 and 484 have 9 factors.

The other more efficient way is to acknowledge the fact that if a square number (n x n) has 9 factors, n must have only 4 factors. For example, 225 has 9 factors because it is equal to 15 squared and 15 only has 4 factors: 1, 3, 5, 15.

This way, we can find out that 15, 21 and 22 have exactly 9 factors. However, 256 has 9 factors as well as it is equivalent to 2 to the power of 8. This means that it already has 8 factors: 2, 4, 8, 16...,128, 156. However, we must include 1 as a factor which means it has 9 factors in total as well.

For the ratios of the angles;

Sine, cosine, and tangent are trigonometric functions used to calculate the ratios of the sides of a right triangle. The side opposite the right angle is called the hypotenuse, while the other two sides are called the adjacent and opposite sides.

Let the hypotenuse be X

Angle A;

Sine A= D/X

Cos A = M/X

Tan A = D/M

Angle B;

Sin B = M/X

Cos B = D/X

Tan B = M/D

The e angle in question may be measured in radians or degrees.

Learn more about right triangle ratios:https://brainly.com/question/20367690

#SPJ1

The probability that a simple random sample of 40 male graduates will provide a sample mean within $10,000 of the population mean, $168,000 is 0.886.

Given data,

The mean annual salary for male and female graduates 10 years after graduation is $168,000 and $117,000 respectively.

The standard deviation for the male graduates is $40,000 and for the female graduates, it is $25,000.

Population mean is, µ = $168,000.

The standard deviation is, σ = $40,000.

Sample mean is, bar-x = µ ± $10,000

Number of sample, n = 40

The formula for Z-score is;

Z = (bar-x- µ)/(σ/√n)

Substitute the given values,

Z = (bar-x- µ)/(σ/√n)

  = (bar-x - $168,000)/($40,000/√40)

  = (bar-x - $168,000)/$6324

The probability of a sample mean is calculated as:

P(-10,000 - (bar-x) - 10,000) = P( 168,000-10,000 - (bar-x) - 168,000+10,000)

= P(158,000 - (bar-x) - 178,000)

Now calculate the probability;

Z1 = (158,000 - $168,000)/$6324

   = -1.578Z2

   = (178,000 - $168,000)/$6324

   = 1.578

From the standard normal distribution table, we have

P(Z - -1.578) = 0.057 and P(Z - 1.578) = 0.943.

Substituting in the given formula,

P(158,000 - (bar-x) - 178,000) = P(-1.578 - Z - 1.578)

                                         = 0.943 - 0.057

                                         = 0.886

Hence, the probability that a simple random sample of 40 male graduates will provide a sample mean within $10,000 of the population mean, $168,000 is 0.886.

To learn more about probability from the given link.

https://brainly.com/question/24756209

#SPJ11

In scenario three, we explore additional options e and f, each with their own unique probabilities and potential outcomes.

Option e introduces a 50% chance of winning $0 or an unspecified amount, while option f offers a 50% chance of winning either $20 or $60.

These options introduce different potential outcomes and associated probabilities compared to the original scenarios. In option e, there is an equal chance of winning nothing or winning an unspecified amount of money.

The introduction of these options expands the range of possible outcomes and probabilities in scenario three, providing different risk-reward trade-offs for the decision-maker.

Learn more about probabilities here : brainly.com/question/30034780

#SPJ11

To determine the house's value one year later, we multiply the house's value by 1.07.

a. The value of the house at any given moment during the first five years is 107% of the value of the house exactly one year earlier. This is because the value increased by 7% each year.

b. To determine the house's value one year later, we multiply the house's value by 1.07. This is because the value increased by 7%.

c. The function that determines the value of the house in thousands of dollars in terms of the number of years since Brayen purchased the house is:
f(t) = 190(1.07)^t
where t is the number of years since Brayen purchased the house and f(t) is the value of the house in thousands of dollars.

To know more about function visit:

https://brainly.com/question/12431044

#SPJ11

The expression fails to compute the area of a triangle having base b and height h is (1.0 /2.0)*b*h.

Therefore the answer is A.

The correct expression to compute the area of a triangle having base b and height h is (1/2) * b * h, or equivalently, 0.5 * b * h.

Expression A is incorrect because it uses floating-point division, which may result in round-off errors or inaccuracies in the computation.

Expression B is the correct expression because it uses integer division and the division by 2 is clear.

Expression C is also correct because it uses floating-point division and the division by 2.0 is clear.

Therefore, both expressions B and C are correct, and expression D is a correct equivalent form of B and C.

To know more on floating-point division

https://brainly.com/question/28462275

#SPJ4

--The question is incomplete, answering to the question below--

"which expression fails to compute the area of a triangle having base b and height h (area is one-half base time height)?

A. (1.0 /2.0)*b*h

B. (1 /2)*b*h

C. (b*h)/2.0

D. 0.5*b*h"

The population of the species that feeds on the mayfly nymphs will not decrease the most if acid causes a decrease in their number.

Acidic substances can have detrimental effects on aquatic ecosystems. They can lead to the death of many species, including mayfly nymphs. This can have a ripple effect on the food chain. Species that feed on the mayfly nymphs will have less food, and their populations may decrease as a result. However, this does not necessarily mean that their population will decrease the most.

There are many factors that can impact the populations of different species in an ecosystem. In this case, the presence of acid is causing a decrease in the number of mayfly nymphs. This can have a variety of effects on other species that depend on mayfly nymphs for food. For example, fish that feed on mayfly nymphs may have less food available, which can lead to a decrease in their population. However, it is not necessarily the case that this species will be the one with the most significant decrease in population. Other species may be more impacted by the decrease in mayfly nymphs than fish. It is also possible that the decrease in mayfly nymphs will have a cascading effect on the ecosystem, impacting many different species in various ways. In conclusion, while the presence of acid can have significant impacts on ecosystems, the specific species that will be most impacted by the decrease in mayfly nymphs is difficult to determine without more information.

To know more about population visit :-

https://brainly.com/question/15889243

#SPJ11

Answer:

Buy 8 pack with £2.04 and buy 1 pack with £0.52 will be more value

Step-by-step explanation:

To calculate 1 roll:

2.04/4= £0.51

4.68/9= £0.52

(0.51+0.52)/2= £0.515 = £0.52 per roll

which pack is better value:

2.04 (4 pack) x2= £4.08 for 8 pack

4.08+0.52= £4.6 for 9 pack

£4.6<£4.68

Therefore, buy 8 pack with £2.04 and buy 1 pack with £0.52 will be more value.

Answer: 25$

Step-by-step explanation:

We know that the coupon took off 5$ and that it was for 20%. This means that 5$ was 20% of the shirt.

20% = 0.2

P=full price of shirt

5 = 0.2P

multiply both sies of the equation by 5

25 = p

shirt cost 25$

Answer:

DE = 6 cm

Step-by-step explanation:

The concept behind this question is the Chord-Chord Power Theorem. This product states that "if two chords intersect in a circle, then the products of the lengths of the chords segments are equal". In this case:

CE × DE = AE × BE

4 × DE = 8 × 3

4 × DE = 24
DE = 6 cm

Hope this helps!

lim(x → 3-) f(x) = DNE

lim(x → 3+) f(x) = 5

lim(x → 3) f(x) = 5

To find the limits of the given function algebraically, we will evaluate the left-hand limit (x → 3-) and the right-hand limit (x → 3+). We will also determine the limit as x approaches 3 from both sides (x → 3). Let's calculate these limits one by one:

Left-hand limit (x → 3-):

To find the left-hand limit, we substitute values of x that are less than 3 into the function expression f(x) = 3x - 4.

lim(x → 3-) f(x) = lim(x → 3-) (3x - 4)

Since the expression 3x - 4 is defined only for x > 3, we cannot approach 3 from the left side. Therefore, the left-hand limit does not exist (DNE).

Right-hand limit (x → 3+):

To find the right-hand limit, we substitute values of x that are greater than 3 into the function expression f(x) = x² - 4.

lim(x → 3+) f(x) = lim(x → 3+) (x² - 4)

As x approaches 3 from the right side, we can evaluate the expression x² - 4:

lim(x → 3+) f(x) = lim(x → 3+) (x² - 4) = (3² - 4) = 9 - 4 = 5

Therefore, the right-hand limit as x approaches 3 is 5.

Two-sided limit (x → 3):

To find the limit as x approaches 3 from both sides, we need to evaluate the left-hand and right-hand limits separately.

lim(x → 3) f(x) = lim(x → 3-) f(x) = lim(x → 3+) f(x)

Since the left-hand limit does not exist (DNE) and the right-hand limit is 5, the two-sided limit as x approaches 3 is also 5.

To summarize:

To find the limits of the given function algebraically, we will evaluate the left-hand limit (x → 3-) and the right-hand limit (x → 3+). We will also determine the limit as x approaches 3 from both sides (x → 3). Let's calculate these limits one by one:

Left-hand limit (x → 3-):

To find the left-hand limit, we substitute values of x that are less than 3 into the function expression f(x) = 3x - 4.

lim(x → 3-) f(x) = lim(x → 3-) (3x - 4)

Since the expression 3x - 4 is defined only for x > 3, we cannot approach 3 from the left side. Therefore, the left-hand limit does not exist (DNE).

Right-hand limit (x → 3+):

To find the right-hand limit, we substitute values of x that are greater than 3 into the function expression f(x) = x²- 4.

lim(x → 3+) f(x) = lim(x → 3+) (x² - 4)

As x approaches 3 from the right side, we can evaluate the expression x² - 4:

lim(x → 3+) f(x) = lim(x → 3+) (x² - 4) = (3² - 4) = 9 - 4 = 5

Therefore, the right-hand limit as x approaches 3 is 5.

Two-sided limit (x → 3):

To find the limit as x approaches 3 from both sides, we need to evaluate the left-hand and right-hand limits separately.

lim(x → 3) f(x) = lim(x → 3-) f(x) = lim(x → 3+) f(x)

Since the left-hand limit does not exist (DNE) and the right-hand limit is 5, the two-sided limit as x approaches 3 is also 5.

To summarize:

lim(x → 3-) f(x) = DNE

lim(x → 3+) f(x) = 5

lim(x → 3) f(x) = 5

Learn more about limit here:

https://brainly.com/question/12207563

#SPJ11

The correct question is: for the function use algebra to find each of the following limits

For the function

f(x)= {x²−4, 0≤x<3

f(x)= {−1, x=3

f(x)= {3x-4, 3 less than x

Use algebra to find each of the following limits: lim f(x)=

x→3⁺

lim f(x)=

x→3⁻

lim f(x)=

x→3

Step-by-step explanation:

the answer is C an B becuase you are mutiplying a number times 13 hope this helps

All because in case of multiplication it doesn't really matter which term is placed where ...so a and b are same thing and c is also Correct because it is also written in algebra

Answer: d. y= -2 2x+y= -3

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

(2+x)(2-x)

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

4-2x+2x-x^2

4-x^2

The amount of 198 liters of water weights 4.45 Pound force on the earth.

The density of the water is 1 kg/L.

It means that 1 L of water has 1 kg of water.

So, we can write,

1 liter water = 1 kg water

1.98 liters water = 1.98 kg water.

So, the mass of the water is 1.98 kg.

The weight of a body is given as,

W = Mg

Where,

M is mass of the body and g is the gravitational acceleation,

putting values to find the weight of 1.98 L of water,

W = 1.98 x 10

W = 19.8N.

Converting it into Pounds,

W = 4.45 Pounds force.

Hence, the weight of 1.98 liters of water on earth surface is 4.45 Pound force.

To know more about Density, visit,

https://brainly.com/question/1354972

#SPJ4

The given number 0.669429565254154... is a terminating decimal so it will be a rational number.

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

In another word, irrational numbers are those numbers that can not terminate.

For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.

Given the number

0.669429565254154...

The number after the decimal place is not repeating so it will end somewhere which means it can be written in form of p/q.

So the number will be rational.

Hence "The given number 0.669429565254154... is a terminating decimal so it will be a rational number".

For more about the irrational number,

https://brainly.com/question/4031928

#SPJ1

Answer:

43

Step-by-step explanation:

43 is the answer as

33+20+9=62

105-62=43

Step-by-step explanation:

The perimeter of a quadrilateral is the distance around it

first add all the sides and then equate to the total that they have given you

x+9+33+20=105

x+62=105

x=105-62

x=43

the answer is 43 in

Answer:

-1/2

Step-by-step explanation:

The point slope form of equation of a line is expressed as;

\(y - y_{0} = m(x-x_0)\)

m is the slope

(x₀, y₀) is the point on the line

Given

(x₀, y₀) = (1, 2)

Given the equation 3y = 2x - 4

Rewrite the equation

y = 2/3x - 4/3

mx = 2/3x

m = 2/3

The slope is 2/3

Substitute the slope and the point into the formula above

\(y -y_0 =m(x-x_0)\\y - 2 = 2/3(x - 1)\\3(y-2) = 2(x-1)\\3y - 6 = 2x - 2\\Swap\\2x - 2 = 3y - 6\\2x - 3y = -6 + 2\\2x - 3y = -4\\x - 3/2 y = -4/2\\x - 3/2 y= -2\)

Compare the expression to x+(m+2)y=n−5

m + 2 = -3/2

m = -3/2 - 2

m = -7/2

Similarly

n - 5 = -2

n = -2 + 5

n = 3

m + n = -7/2 + 3

m + n = -1/2

hence the sum of m and n is -1/2