Which of the following functions are an example of exponential growth? I. f(x)=14(12)x II. f(x)=2(3x) III. f(x)=5(12)x A. II only B. I and III only C. I and II only D. II and III only

The total selling price before tax is $261.96.

The sales tax paid is $15.72.

The total cost is  $277.68.

The total selling price before tax is the sum of the prices of the WWE 2K21, Starbucks Vanilla Coffee,  new Keurig K550 and the jeans

$49.99 + $13.99 + $179.99 + $17.99 = $261.96.

Sales tax is the amount of money levied when a good or service is purchased. It is a percentage of the price of an item

Sales tax = tax rate x cost

6% x $261.96 = $15.72

The total price paid is the sum of the sales tax and the  total selling price.

$15.72 +  $261.96 = $277.68

To learn more about taxes, please check: https://brainly.com/question/25311567

Answer:

YZ = 8.5

Step-by-step explanation:

Since RY is an angle bisector then the ratio of the sides of the triangle are equal to the corresponding ratio of the base, that is

\(\frac{YX}{YZ}\) = \(\frac{XR}{ZR}\) , substitute values

\(\frac{11.9}{YZ}\) = \(\frac{7}{5}\) ( cross- multiply )

7YZ = 59.5 ( divide both sides by 7 )

YZ = 8.5

Answer:

YESSSSS

Step-by-step explanation:

The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

If the given quadratic expression is of the form \(ax^2 + bx + c\)

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

\(b = \alpha + \beta \\ ac =\alpha \times \beta\)

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

For this case, we're provided the expression:

\(x^2 -7x + 10\)

We can write 10 as multiple of -5 and -2 and

we can write -7 as sum of -5 and -2. Thus, we get:

\(x^2 -7x + 10 = x^2 -5x - 2x + 10 = x(x-5+ -2(x-5) = (x-2)(x-5)\)

Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

Learn more about factorization of quadratic expression here:

https://brainly.com/question/26675692

According to the Question, The interest earned in 4 years is $1,954.83.

What is compounded quarterly?

A quarterly compounded rate indicates that the principal amount is compounded four times over one year. According to the compounding process, if the compounding time is longer than a year, the investors would receive larger future values for their investment.

The principal is $10,000.

The annual interest rate is 4.5%, which is compounded quarterly.

Since there are four quarters in a year, the quarterly interest rate can be calculated by dividing the annual interest rate by four.

The formula for calculating the future value of a deposit with quarterly compounding is:

\(P = (1 + \frac{r}{n})^{nt}\)

Where P is the principal

The annual interest rate is the number of times the interest is compounded in a year (4 in this case)

t is the number of years

The interest earned equals the future value less the principle.

Therefore, the interest earned can be calculated as follows: I = FV - P

where I = the interest earned and FV is the future value.

Substituting the given values,

\(P = $10,000r = 4.5/4 = 1.125n = 4t = 4 years\)

The future value is:

\(FV = $10,000(1 + 1.125/100)^{4 *4} = $11,954.83\)

Therefore, the interest earned is:

\(I = $11,954.83 - $10,000= $1,954.83\)

Thus, the interest earned in 4 years is $1,954.83.

Learn more about Compounded Quarterly:

https://brainly.com/question/24924853

#SPJ11

The correct answer is the first option.

We can show that the 2 triangles are congruent by using vertical angles, to prove that m∠DCA = m∠TCS

Then by Alternating Interior Triangles, m∠A = m∠T and m∠D = m∠S

And finally, the sides AC and CS are equal, and DC = CT

Then we have 3 pairs of congruent corresponding sides and 3 pairs of congruent corresponding angles, which is the first option.

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

The value of a home increases by 7%each year, by compounding the value of the home doubles approximately once each decade.

Compounding is a process where the interest is credited to the initial amount and interest, on the whole, is charged again. and this continues for t period of time.

It is given by the formula,

A=P(1+r)^t

where A is the value after t period of time,

P is the value of the asset at the beginning, and,

r is the rate of interest.

The value of the home doubles once each decade.

Given to us

The value of a home increases by 7% each year.

As it is given that the value of a home increases by 7% each year, therefore, the value of the home is compounding every year.

We know the formula of compounding,

A=P(1+r)^t

Why does the value doubles?

Now, let's assume a house whose value is 'P' today, therefore, substitute the value of the house in the formula of compounding,

A=P(1+r)^t

Substitute the rate at which the value is increasing,

A=P(1+0.07)^t

We know that in a decade there are 10 years,

A=P(1+0.07)^10=P(1.07)^10

=1.967P

Approximately

=2P

As we can see that the value of the home is almost 2 times the 'P' therefore, twice the value of the home at the beginning.

Hence, the value of the home doubles once each decade.

To Learn more about Compounding:

https//brainly.com/question/25857212

#SPJ1

Step-by-step explanation:

Given

Model to Actual = 5:9

5cm in Model = 9cm actual

1cm in model = (9/5)cm = 1.8cm

36cm in model = 1.8cm x 36 = 64.8cm

The given function f(x) = 16^x is an exponential function.

An exponential function is a mathematical function in which an independent variable appears in the exponent. In this case, the base of the function is 16, and the variable x is the exponent.

In the given function f(x) = 16^x, the variable x represents the exponent to which 16 is raised. As x increases, the function value grows rapidly, indicating exponential growth. The base of 16 signifies that the function is being multiplied by 16 for each unit increase in the exponent.

In contrast, a linear function has a constant rate of change, and a quadratic function has a squared term. The given function does not involve a linear relationship or a squared term, which confirms that it is not a linear or quadratic function.

Therefore, based on the given form f(x) = 16^x and the exponential growth nature of the function, we can classify it as an exponential function.

Learn more about exponential function here:

brainly.com/question/29287497

#SPJ11

Answer:

9)  A.  ∠1 and ∠3

10)  B.  Angle 2

11)  B.  110°

12)  B.  70°

Step-by-step explanation:

Vertical angles:  a pair of opposite angles formed by two lines intersecting.  Vertical angles are congruent.

The vertical angles in the given diagram are ∠1 and ∠3  AND  ∠2 and ∠4

These pairs of angles are equal, so: ∠1 =∠3  AND ∠2 =∠4

Therefore:

If ∠1 = 110°  then  ∠3 = 110°

If ∠2 = 70°  then  ∠4 = 70°

We are to determin if the following sequence are arithmetic and also fin their common difference if they are arithmetic.

(1) -3, -9, -27, -81, ................

This sequence is not an arithmetic sequence because theere is no common difference.

-9 - -3 = -27 - -9

-9 + 3 = -27 + 9

-6 ≠ -18

Therefore is not an arithmetic sequcence.

(2) 13, 17, 21, 25, ......................

This sequence is an arithmetic sequence.

It has a commdon difference of 4

17 - 13 = 21 - 17

4 = 4

Therefore, the sequence is an arithmetic sequence.

(3) -6, -2, 2, 6, .........................

This sequence is an arithmetic sequence.

It has a common difference of 4

-2 - -6 = 2 - -2

-2 + 6 = 2 + 2

4 = 4

Therefore, the sequence is an arithmetic sequence

Answer:

a = 3/2, b = 2.

Step-by-step explanation:

2a + 2b = 7

4a + 3b = 12

If we multiply the first equation by 2 we get

4a + 4b = 14

Subtracting this from second equation:

-b = -2

b = 2.

Substitute b = 2  in the first equation

2a + 2(2) = 7

2a = 3

a = 3/2.

Answer:

has to be

Step-by-step explanation:

the first one

Answer:

18x = 12y =132

Step-by-step explanation:

Ordered pair (0, 6) and  (2, 7)  satisfy both inequalities in the system and are solutions to the system.

To identify the graph that represents the given system of inequalities y > x + 5 and y ≥ 2x + 3, we need to graph the individual inequalities and find the region where they overlap.

When we plot the graph of inequality separately:

    2. y ≥ 2x + 3:

The overlapping shaded region represents the solution to the system of inequalities.

To find two ordered pairs that are solutions to the system, we can choose any points within the overlapping region. Let's select two points:

Ordered pair 1: (0, 6)

Ordered pair 2: (2, 7)

These two points satisfy both inequalities in the system and are solutions to the system.

Learn more about inequalities;

https://brainly.com/question/30238989

#SPJ4

The correct question is given below -

Identify the graph that represents the given system of inequalities. Also identify two ordered pairs that are solutions to the system.

y > x + 5

y ≥ 2x + 3

The probability that an event belongs to set A, B, or C, or belongs to any two or all three, can be calculated using the formula: \(\[ P(A \cup B \cup C) = P(A) + P(B) + P(C) - P(A \cap B) - P(A \cap C) + P(B \cap C) - P(A \cap B \cap C) \]\)

In this formula, sets A and C are mutually exclusive, meaning they cannot occur together. Set B overlaps with both A and C. By including or subtracting the appropriate intersection probabilities, we can calculate the overall probability of the event belonging to any combination of the sets. The probability that an event belongs to set A, B, or C, or belongs to any combination of the sets, is calculated by adding the probabilities of the individual sets and adjusting for the intersections between the sets. The formula for the probability of the union of three sets A, B, and C considers the individual probabilities of each set and accounts for the intersections between them. When calculating the probability, we start by adding the probabilities of sets A, B, and C. However, we need to subtract the probabilities of the intersection between A and B, A and C, and B and C to avoid double counting. Additionally, we add back the probability of the intersection of all three sets to ensure it is included in the overall probability. This formula allows us to compute the probability that an event belongs to any of the sets individually or in combination, considering their overlaps and exclusions.

To learn more about probability refer:

https://brainly.com/question/25839839

#SPJ11

a. ΔECR and ΔACR have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.

b. ΔTSE and ΔNOH have three pairs of congruent sides, both triangles are therefore congruent by the SSS conrguence theorem.

Congruent triangles are triangles that have the corresponding sides and angles that are congruent to each other and they have the same shape and size.

a. The information given shows that ΔECR and ΔACR have:

three pairs of congruent sides - CR ≅ RC; EC ≅ AC; and ER ≅ AR.

Therefore, both triangles are congruent triangles by the SSS conrguence theorem.

b. The information given shows that ΔTSE and ΔNOH have:

three pairs of congruent sides - TE ≅ NH; SE ≅ OH; and TS ≅ NO.

Therefore, both triangles are congruent triangles by the SSS conrguence theorem.

Learn more about congruent triangles on:

https://brainly.com/question/2938476

a) The slope of the curve y=x²-3x-2 at the point P(3,-2) is 3.

b) An equation of the tangent line to the curve at P(3,-2) is y = 3x - 11.

a) To find the slope of the curve y = x² - 3x - 2 at the point P(3,-2), we need to find the limit of the secant slopes as the second point approaches P. Let Q be a point on the curve with coordinates (x, y), then the slope of the secant line through P and Q is:

slope of PQ = (y - (-2))/(x - 3) = (x² - 3x - 2 + 2)/(x - 3) = (x² - 3x)/(x - 3)

Taking the limit of this expression as x approaches 3, we get:

lim (x->3) (x² - 3x)/(x - 3) = lim (x->3) x(x - 3)/(x - 3) = lim (x->3) x = 3

Therefore, the slope of the curve at P(3,-2) is 3.

b) To find an equation of the tangent line to the curve at P(3,-2), we can use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

where m is the slope of the tangent line and (x1, y1) is the point of tangency. Substituting the values we found, we get:

y - (-2) = 3(x - 3)

Simplifying, we get:

y = 3x - 11

Therefore, an equation of the tangent line to the curve y = x² - 3x - 2 at the point P(3,-2) is y = 3x - 11.

Learn more about slope at brainly.com/question/24396431

#SPJ11

Answer:

None of the above

Step-by-step explanation:

Answer:

the picture isn't loading :(

Step-by-step explanation:

Answer:

Yes it is correct, because of basic math.

2x +7 = 3x + 3

subtract 7 from each side

2x = 3x - 4

subtract 3x from both sides

-x = -4

divide both sides by -1

x = 4

Step-by-step explanation:

If statement P and statement Q are both true, then combination will not lead to a false truth value.

In classic propositional logic, a conjunction is a binary operator, that is, used to connect two propositions.

A conjunction between two propositions is always true if and only if each of the two propositions are also true, otherwise the compound proposition is false. In other words, we have following relational formulas:

\(P \,\land\,Q\):

\((P, Q) \to R\)

\((V, V) \to V\)

\((V, F) \to F\)

\((F,V) \to F\)

\((F,F) \to F\)

In other words, if statement P and statement Q are both true, then combination will not lead to a false truth value.

We kindly invite to see this question on propositions: https://brainly.com/question/13011669

Answer:

statement p is true and statement q is true

Step-by-step explanation:

had this question on a test and got it right

didnt realise how late i am ;-;

The largest value y can contain after the code runs when x is initialized to 10 instead of 3, is 30.

When x is initialized to 10, the for loop runs for i = 0 to 9. In each iteration, the value of y is updated by adding x to it. Since x is constant and equal to 10, the value of y increases by 10 in each iteration. After the loop completes all 10 iterations, the value of y would be 10 + 10 + 10 + ... + 10 (10 times). This can be calculated as 10 * 10 = 100.

However, since y is a shared variable and subject to concurrent execution, the code does not guarantee sequential updates of y. There can be race conditions where multiple threads try to update y simultaneously. To avoid this, we need to ensure atomicity in updating the value of y.

Assuming atomic updates, the final value of y would be 30. This is because y starts with an initial value of 0, and in each iteration, it is updated by adding x (which is 10 in this case). So, the final value of y can be calculated as 10 + 10 + 10 = 30.

In summary, when x is initialized to 10 instead of 3, the largest value y can contain after the code runs are 30.

For more questions like Variable click the link below:

https://brainly.com/question/17344045

#SPJ11

Answer:

It is A.

Step-by-step explanation:

Easiest way is to break down each days into hours and minutes thenn go from there

The second-order partial derivatives are:
Zxx = 18ye^(3x)
Zyy = 0
Zxy = 6e^(3x)
Zyx = 6e^(3x)

To find all second-order partial derivatives for z = 2ye^(3x), we first need to find the first-order partial derivatives:

Zx = ∂z/∂x = 2ye^(3x) * 3 = 6ye^(3x)
Zy = ∂z/∂y = 2e^(3x)

Now, let's find the second-order partial derivatives:

Zxx = ∂^2z/∂x^2 = ∂(Zx)/∂x = 6y * 3e^(3x) = 18ye^(3x)
Zyy = ∂^2z/∂y^2 = ∂(Zy)/∂y = 0
Zxy = ∂^2z/∂x∂y = ∂(Zx)/∂y = 6e^(3x)
Zyx = ∂^2z/∂y∂x = ∂(Zy)/∂x = 2e^(3x) * 3 = 6e^(3x)

So, the second-order partial derivatives are:

Zxx = 18ye^(3x)
Zyy = 0
Zxy = 6e^(3x)
Zyx = 6e^(3x)

To learn more about derivatives, refer below:

https://brainly.com/question/30365299

#SPJ11

Answer:

C

Step-by-step explanation:

all the following options can give 9m+27 except C; 9m+12

Answer:

-5

Step-by-step explanation:

Answer:

-7 - 4 -(-6)

-7 + - 4 - (-6)

-11 - (-6)

-11 + 6 = -5

Step-by-step explanation:

When looking at -7- 4, you can use the KCC rule, Keep, Change, Change. -7 would stay the same, but - would turn into a + and so would 4 to -4.

Now, -7 + - 4 would equal to -11. And bring down the -(-6).

When you look at two negative signs the become a positive sign, so it would now be +6.

Now, you subtract because 11 is the bigger number and you have to take it's sign, which is negative to the answer.

Therefore, your answer is -5. Hope this helps

Answer:

x=2 , y=3

Step-by-step explanation:

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

for such more question on simplified

https://brainly.com/question/11680269

#SPJ8