Jerome deposits $4,700 in a certificate of deposit that pays 6 1/2% interest, compounded annually. How much interest does Jerome earn in one year? show the work ​

Answer:

Isosceles Right

Step-by-step explanation:

The triangle has two sides with equal lengths, making it an isosceles triangle.

The triangle also has a 90° angle, making it a right triangle.

So, the triangle would be an isosceles right triangle.

Hope that helps.

Since x = 8, you would need to plug in 8 into the x.

f(x) = 6x - 4

f(x) = 6(8) - 4

f(x) = 48 - 4

f(x) = 44

So, the correct answer would be C. 44

The composition between the functions f(x) = x and g(x) = 2 is equal to (f ° g) (x) = 2. (Correct choice: B)

The composition is a binary operator between two functions, in which the input of the first function is substituted by the second function. This operation is defined by the following expression:

(f ° g) (x) = f[g(x)]  

If we know that f(x) = x and g(x) = 2, then the composition between the two functions is:

(f ° g) (x) = 2

Then, the composition between the functions f(x) = x and g(x) = 2 is equal to (f ° g) (x) = 2. (Correct choice: B)

To learn more on composition between functions: https://brainly.com/question/20379727

#SPJ1

Include options please

The statistical question is "What is the typical age of the grade 7 Mathematics teacher?"

The question is given as:

"how old is my mathematics teacher?"

A statistical question is such that requires statistical data to be answered or completed.

A statistical question for "how old is my mathematics teacher?" could be "What is the typical age of the grade 7 Mathematics teacher"

Read more about statistical question at:

https://brainly.com/question/15980493

Answer:

Step-by-step explanation:

Suppose we are asked to solve the quadratic equation

(

�

−

1

)

(

�

+

3

)

=

0

(x−1)(x+3)=0left parenthesis, x, minus, 1, right parenthesis, left parenthesis, x, plus, 3, right parenthesis, equals, 0. [Why is this a quadratic equation?]

This is a product of two expressions that is equal to zero. Note that any

�

xx value that makes either

(

�

−

1

)

(x−1)left parenthesis, x, minus, 1, right parenthesis or

(

�

+

3

)

(x+3)left parenthesis, x, plus, 3, right parenthesis zero, will make their product zero.

(

�

−

1

)

(

�

+

3

)

=

0

↙

↘

�

−

1

=

0

�

+

3

=

0

�

=

1

�

=

−

3

(x−1)

↙

x−1=0

x=1

​

(x+3)=0

↘

x+3=0

x=−3

​

Substituting either

�

=

1

x=1x, equals, 1 or

�

=

−

3

x=−3x, equals, minus, 3 into the equation will result in the true statement

0

=

0

0=00, equals, 0, so they are both solutions to the equation.

To factor a quadratic equation with a coefficient greater than 1 using the earmuff method, follow the steps of factoring normally but consider the coefficient 'a' when finding the two numbers that add up to 'b'.

When factoring a quadratic equation with a coefficient greater than 1, the earmuff method is a helpful technique. Let's consider a quadratic equation in the form of \(ax^{2}\) + bx + c, where 'a' represents the coefficient of \(x^{2}\). To factor the equation, we follow these steps:

Multiply 'a' and 'c' to obtain the product 'ac'.

Find two numbers that multiply to 'ac' and add up to 'b', the coefficient of 'x'.

Rewrite the middle term 'bx' as the sum of the two numbers found in step 2.

Group the terms in pairs and factor by taking out the common factor.

Factor out the greatest common factor from each pair of terms.

Write the factored form of the quadratic equation.

The earmuff method ensures that we consider the coefficient 'a' when finding the two numbers that add up to 'b'. By accounting for 'a', we ensure that the factored form reflects the relationship between the terms and maintains the accuracy of the equation.

Learn more about quadratic equation here:

https://brainly.com/question/22364785

#SPJ11

Gulls managed to eat scallops in the novel "Island of the Blue Dolphins" through their adaptive feeding behaviors and opportunistic nature.

In the novel "Island of the Blue Dolphins" by Scott O'Dell, gulls are depicted as opportunistic feeders that have adapted their feeding behaviors to consume scallops. The island where the story takes place is abundant with scallops, which serve as a vital food source for the gulls.

Gulls are skilled at detecting and locating food sources, including scallops. They have keen eyesight and the ability to spot scallops in the water or on the shore. Gulls use their sharp beaks to pry open the shells of the scallops, accessing the nutritious flesh inside.

They are known to scavenge and steal food from other animals, including smaller birds or marine creatures. In the case of scallops, gulls may compete with other predators, such as otters or crabs, to obtain these shellfish for their own sustenance.

Learn more about Blue Dolphins here:

https://brainly.com/question/32044912

#SPJ11

The vertices of the new polygon A'B'C'D' is A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1) (optionB)

A vertex is a corner point of a polygon, polyhedron, or other higher-dimensional polytope, formed by the intersection of edges, faces or facets of the object.

The vertices of the polygons are given as B(−2, 2), C(4, −2), D(4, 4) . The polygon is reduced by using a scale factor one fourth. i.e 1/4.

This means that each coordinates of the vertices will be reduced by 4 to give the vertices of the new polygon.

A = (-4,6) , A' = ( -1, 1.5)

B = ( -2,2) B' = ( -0.5, 0.5)

C = ( 4, -2) C' = ( 1, -0.5)

D = ( 4,4) , D' = ( 1, 1)

Therefore the vertices of the new polygon is A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1)

learn more about vertices from

https://brainly.com/question/28747454

#SPJ1

Answer:

its not b i tried and it was wrong

Step-by-step explanation:

Hannah's debt-to-equity ratio when her liabilities was $30,000 (excluding her mortgage of $100,000 ) and her net worth is $45,000 is 0.75.

Debt-to-equity ratio is a financial ratio that measures the proportion of total liabilities to shareholders' equity. To calculate the debt-to-equity ratio for Hannah, we need to first calculate her total liabilities and shareholders' equity.

We are given that Hannah has liabilities of $30,000 excluding her mortgage of $100,000. Therefore, her total liabilities are $30,000 + $100,000 = $130,000.

We are also given that her net worth is $45,000. The net worth is calculated by subtracting the total liabilities from the total assets. Therefore, the shareholders' equity is $45,000 + $130,000 = $175,000.

Now we can calculate the debt-to-equity ratio by dividing the total liabilities by the shareholders' equity.

Debt-to-equity ratio = Total liabilities / Shareholders' equity = $130,000 / $175,000 = 0.74 (rounded to two decimal places)

Therefore, Hannah's debt-to-equity ratio is 0.74, which is closest to option 0.75.

Learn more about Debt-to-equity ratio here: https://brainly.com/question/27993089

#SPJ11

Answer:

Step-by-step explanation:

Ms Pace:   \(\frac{6}{24} \times 100=\frac{1}{4} \times 100=25\%\)

Ms Lee:     \(\frac{14}{28} \times 100=\frac{1}{2} \times 100=50\%\)

Difference \(=50-25=25\)

No.

1) Because in the cubic root of 8, as below represented in this function:

There is no other negative number that can be inserted in the Domain to yield a positive value in the Range.

Unlike, the quadratic radical function. For example:

The answer would be 51, because the sequence pattern is adding up by odd numbers.

Answer:

51

Step-by-step explanation:

I know that someone has already answered this, but I think it might be better to know the actual formula to find the answer. Since we can find a common increase of 2 in each increase, we can use a(n) = n^(increase) + a0

For example, to find the 7th term (The one you're looking for) You can do

a(7) = 7^2 + 2

which gives you 51.

The desired fuel efficiency of a car two years from now would ideally be improved compared to the current fuel efficiency.

There are several reasons why we would want the fuel efficiency of a car to be better in the future:

Environmental Concerns: Improving fuel efficiency helps reduce carbon emissions and minimize the environmental impact of vehicles. As the world becomes more conscious of climate change and the need to reduce greenhouse gas emissions, enhancing fuel efficiency plays a vital role in mitigating environmental damage.

Energy Conservation: Better fuel efficiency means using less fuel to travel the same distance. With finite energy resources and the need to conserve them, improving fuel efficiency helps reduce the overall energy consumption in transportation, leading to better resource management.

Cost Savings: Increasing fuel efficiency directly translates to lower fuel consumption and reduced expenses for car owners. With rising fuel prices, having a more fuel-efficient car can significantly cut down on fuel costs, saving money for individuals and businesses.

Technological Advancements: As technology progresses, advancements in engine design, aerodynamics, lightweight materials, and alternative energy sources enable the development of more fuel-efficient vehicles. Striving for improved fuel efficiency encourages innovation in the automotive industry, leading to the creation of more sustainable and eco-friendly transportation options.

Government Regulations: Many governments worldwide have implemented fuel efficiency standards and regulations to reduce fuel consumption and emissions. By meeting or exceeding these standards, car manufacturers contribute to a cleaner and more sustainable transportation sector.

Ultimately, aiming for improved fuel efficiency two years from now aligns with the global push for environmental sustainability, energy conservation, cost savings, technological advancements, and adherence to regulatory standards. It benefits both individuals and society as a whole by promoting a greener and more efficient approach to transportation.

To learn more about fuel efficiency

https://brainly.com/question/27021605

#SPJ11

Answer:

Correct (192)

Step-by-step explanation:

The formula for a parallelogram's area is just base times height. 16x12 is equal to 192, so you are correct.

A parallelogram can be:

Therefore we calculate the rectangle of a square, which is a parallelogram.

To start solving, we obtain the following data:

The formula to calculate the area is:

\(\bf{a=b*h }\)

To calculate the area, multiply the base by the height (which is represented in "h")

We clear formula, calculate the area:

\(\bf{A=(16 \ cm)(12 \ cm) \ \ \ ==== > \ Multiply }\)

\(\bf{A=192 \ cm^{2} }\)

Answer: The area of the parallelogram is 192 cm2. So if you're right, it was a rectangle.

The image after the dilation is A' (-2,2) and (4,4)

Here, we have a pre-image with the endpoints A(-4,4) and B(8,8) and we want to find the image after dilation using the scale factor

To find its image after a dilation, we simply multiply the scale factor with each number on the coordinate

Thus, we have

A' as (-2,2) and B' as (4,4)

To plot the image, we can locate these coordinates and join them together and label them as A' and B'

TRUE. In a free body diagram, a roller support is replaced by two reaction forces.

A roller support is a type of support that allows a structure to rotate or move along a surface without any resistance to translation. It provides support in the perpendicular direction to the surface, but allows movement in the parallel direction.

To represent a roller support in a free body diagram, two reaction forces are used. One force acts perpendicular to the surface and is known as the normal force. This force prevents the structure from sinking into the surface. The other force acts parallel to the surface and is known as the frictional force. This force prevents the structure from sliding along the surface.

By including these two reaction forces in the free body diagram, the roller support is accurately represented, taking into account the constraints it imposes on the structure.

learn more about roller support here:

https://brainly.com/question/31059966

#SPJ11

The number of hours when the prices of the two stocks would be the same is 3 hours.

The first step is to determine the price of stock A at noon.

Price of stock A = price at 9am + (rate x number of hours until noon)

$13.96 + (0.06 x 3)

$13.96 + 0.18

= $14.14

Change in price of stock B = price at noon - (rate x hours)

$14.71 - (0.13 x h)

= $14.71 - 0.13h

Change in price of stock A after noon = $14.14 + 0.06h

When the two stocks would be the same, the two equations would be equal:

$14.71 - 0.13h = $14.14 + 0.06h

Combine similar terms:

$14.71 - 14.14 = 0.13h + 0.06 h

Add similar terms together:

0.57 = 0.19h

Divide both sides of the equation by 0.18

h = 0.57 / 0.19

h = 3 hours

To learn more about linear equations, please check: https://brainly.com/question/26434260

#SPJ1

Answer:

36

Step-by-step explanation:

12 times 3 = 36

 f(t) = L^(-1){1 / (s^2 + s)} Inverse Laplace transform tables or techniques, determine the time-domain function f(t) that satisfies the given integral equation.

The Laplace transform is a powerful mathematical tool that can be used to solve complex integral equations, like the one you've provided: f(t) + t * ∫(t - τ)f(τ)dτ = t.

To solve this equation using the Laplace transform, follow these steps:

1. Apply the Laplace transform to both sides of the equation. The Laplace transform of f(t) is F(s), and the Laplace transform of t is 1/s^2. The integral equation becomes:

  L{f(t)} + L{t * ∫(t - τ)f(τ)dτ} = L{t}

  F(s) + L{t * ∫(t - τ)f(τ)dτ} = 1/s^2

2. Next, apply the convolution theorem to the integral term. The convolution theorem states that L{f(t) * g(t)} = F(s) * G(s). In this case, f(t) = t and g(t) = (t - τ)f(τ):

  F(s) + L{t} * L{(t - τ)f(τ)} = 1/s^2

3. Now, substitute the known Laplace transforms for t and f(t):

  F(s) + (1/s^2) * F(s) = 1/s^2

4. Combine the terms containing F(s):

  F(s) * (1 + 1/s^2) = 1/s^2

5. Isolate F(s) by dividing both sides of the equation by (1 + 1/s^2):

  F(s) = (1/s^2) / (1 + 1/s^2)

6. Simplify the expression for F(s):

  F(s) = 1 / (s^2 + s)

7. Finally, apply the inverse Laplace transform to F(s) to obtain the solution for f(t):

  f(t) = L^(-1){1 / (s^2 + s)}

Using inverse Laplace transform tables or techniques, you can determine the time-domain function f(t) that satisfies the given integral equation.

To learn more about Inverse Laplace click here

brainly.com/question/30404106

#SPJ11

The average velocity for the time period is -15 feet per second

The velocity of the ball = 31 feet / seconds

The function of the height is

y = 31t - 23t^2

Time period beginning when t = 1 and lasting .01 s, .005 s, .002 s, .001 s

The average velocity = f(1.01) - f(1) / 1.01 - 1

f(t) = 31t - 23t^2

f(1.01) = 31(1.01) - 23(1.01)^2

= 31.31 - 23.46

= 7.85 feet per second

Similarly

f(1) = 31(1) - 23(1)^2

= 31 - 23

= 8 feet per second

The average velocity =  7.85 - 8 / 1.01 - 1

= -0.15 / 0.01

= -15 feet per second

Hence, the average velocity for the time period is -15 feet per second

Learn more about function here

brainly.com/question/20534410

#SPJ4

Answer:

b. 27,648

Step-by-step explanation:

Just multiple the two numbers together

384 x 72 = 27,648

(1). The CDF of X generated using the given procedure is indeed equal to its given CDF F(X).

(2). For all integer values of x, so Y is a valid simulation of the integer-valued random variable X.

(1) To show that the CDF of the random variable X generated using the given procedure is equal to its given CDF F(X), we need to show that for any x, P(X ≤ x) = F(x).

Let U be a random variable that is uniformly distributed in the interval [0,1], and let X be a random variable generated using the given procedure, such that X satisfies F(X) = U.

Then, for any x, we have:

Therefore, we have shown that the CDF of X generated using the given procedure is indeed equal to its given CDF F(X).

(2) To simulate a discrete integer-valued random variable using the given procedure, we can use the following steps:

By construction, we have P(Y = x) = P(F(Y) = F(x)) = p(x) for all integer values of x, so Y is a valid simulation of the integer-valued random variable X.

Learn more about random variable

brainly.com/question/17238189

#SPJ11

Answer:

28

Step-by-step explanation:

Answer:

9*9=81

then81+1=82

it is not 28

mark it as brainly and hope it help's

Two rational expressions with the same denominator can be added or subtracted by adding or subtracting the numerators, then writing the result over the shared denominator.

There are four steps involved in adding or subtracting rational expressions:

For any value that renders either of the original rational expressions undefinable, the product of two rational expressions is, in general, undefinable.

Learn more about Rational numbers here:

brainly.com/question/24398433

#SPJ4

The solution to the given logarithmic equation is x = 1.

The given logarithmic equation is:

ln(x+31) - ln(4-3x) = 5ln2

We can use the first property of logarithms, which states that ln(a) - ln(b) = ln(a/b), to simplify the left-hand side of the equation:

ln(x+31)/(4-3x) = ln(2^5)

We can further simplify the right-hand side using the second property of logarithms, which states that ln(a^b) = b*ln(a):

ln(x+31)/(4-3x) = ln(32)

Now, we can equate the arguments of the logarithms on both sides:

(x+31)/(4-3x) = 32

Multiplying both sides by (4-3x), we get:

x + 31 = 32(4-3x)

Expanding the right-hand side, we get:

x + 31 = 128 - 96x

Bringing all the x-terms to one side, we get:

x + 96x = 128 - 31

Simplifying, we get:

97x = 97

Finally, dividing both sides by 97, we get:

x = 1

Therefore, the solution to the given logarithmic equation is x = 1.

Note that we must check the solution to make sure it is valid, as the original equation may have restrictions on the domain of x. In this case, we can see that the arguments of the logarithms must be positive, so we must check that x+31 and 4-3x are both positive when x = 1. Indeed, we have:

x+31 = 1+31 = 32 > 0

4-3x = 4-3(1) = 1 > 0

Therefore, the solution x = 1 is valid.

Learn more about logarithms

brainly.com/question/30085872

#SPJ11

The probability of selecting a user who chooses cinnamon and is under 13 years old is: 0.18 or 18% (rounded to two decimal places).

In the problem, we are given the number of users who choose bacon and are under 13 years old, which is 8. We are also given the number of users who choose plain and are under 13 years old, which is 5. Therefore, the total number of users under 13 years old is 8 + 5 = 13.

Next, we are asked to find the probability of selecting a user who chooses cinnamon and is under 13 years old. We know that the number of users who choose cinnamon and are under 13 years old is 3. Therefore, out of the total 13 users under 13 years old, the probability of selecting a user who chooses cinnamon and is under 13 years old is:

The total number of users under 13 years old is 8 (choose bacon) + 5 (choose plain) = 13.

The number of users who choose cinnamon and are under 13 years old is 3.

Therefore, the probability of selecting a user who chooses cinnamon and is under 13 years old is:

3 / 13 ≈ 0.23 or 23% (rounded to two decimal places)

To know more about probability,

https://brainly.com/question/30034780

#SPJ11