Nancy borrowed $24000 from the State Bank to buy a scooter. If the rate of interest be 12% per annum, what payment will she have to make after 6 years

Answer:

I think the answer is a,b and d.

The change in y, Ay, is the difference between these two values:

Ay = 12 - 0.12 = 11.88

Therefore, the change in y, Ay, when 2 = 3 and Ax = 0.2 is 11.88.

Hi! To find the change in y (Δy) when y = 3x^2, Δx = 0.2, and x = 2, you can use the equation for y and find the values of y at x = 2 and x = 2.2, then find the difference between them.

1. Calculate y at x = 2:
y = 3(2^2) = 3(4) = 12

2. Calculate y at x = 2.2:
y = 3(2.2^2) = 3(4.84) = 14.52

3. Calculate the change in y (Δy):
Δy = y(2.2) - y(2) = 14.52 - 12 = 2.52

The change in y (Δy) when x changes from 2 to 2.2 is 2.52.

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A table that matches the data in the graph include the following:

Correct answers       Points

0                                   0

5                                   30

12                                  72

18                                  108

20                                 120

In Mathematics, a proportional relationship produces equivalent ratios and it can be represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) for the data points contained in the table as follows:

Constant of proportionality, k = y/x = t/d

Constant of proportionality, k = 30/5 = 72/12 = 108/18 = 120/20

Constant of proportionality, k = 6.

Therefore, the required equation is given by;

y = kx

y = 6x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

A theoretical hypothesis is a hypothesis that attempts to provide an explanation for a scientific question or phenomenon by proposing a theoretical framework or model. (option b).

Theoretical hypotheses are often used in scientific research to guide investigations and to help researchers make predictions about what they expect to observe. They are essential to the scientific method because they provide a basis for developing testable predictions and designing experiments to confirm or reject them.

A theoretical hypothesis is a hypothesis that attempts to provide an explanation for a scientific question or phenomenon.

This statement is accurate. As discussed earlier, a theoretical hypothesis is a type of hypothesis that proposes a theoretical framework or model to explain a scientific question or phenomenon.

Therefore, statement b is the most accurate description of a theoretical hypothesis.

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Answer:646449

Step-by-step explanation:You can use a calculator if Wyoming has 63781 fewer people than Washington you have to add that number to Wyoming’s population to get Washington’s

A) Pr(o,e) is the probability of an event o and event e occurring. B) Pr(e) is the probability of an event e occurring.C) Pr(o|e) is the probability of an event o given that event e has occurred.

Risk analysis is a quantitative assessment of risk. It is a method for estimating the likelihood of an adverse event occurring and the possible negative consequences if it does occur. Risk analysis has many applications, including finance, insurance, healthcare, and engineering.

It is a critical component of decision-making processes, such as business planning and policy development. The probability of occurrence is one of the key inputs to risk analysis, and it is essential to understand its meaning in this context.

Pr(o,e) is the probability of an event o and event e occurring.

This is the joint probability of two events. (o,e) represents the occurrence of two events together.

Pr(e) is the probability of an event e occurring.

This is the marginal probability of an event. Finally,

Pr(o|e) is the probability of an event o given that event e has occurred.

This is the conditional probability of an event.

This equation is known as Bayes' theorem, and it is the foundation of risk analysis. It describes how we can update our beliefs about the likelihood of an event occurring as new information becomes available.

By applying Bayes' theorem, we can estimate the likelihood of an adverse event occurring and the possible consequences of that event.

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The area of the shaded portion of the figure is 272 units squared.

The figure above is a triangle inside a trapezium. The area of the shaded portion can be found when we subtract the area of the triangle from the area of the trapezium.

Therefore,

area of the shaded portion = area of the trapezium - area of the triangle

area of the triangle = 1 / 2 bh

where

Therefore,

area of the triangle = 1 / 2 × 18 × 16

area of the triangle = 288 / 2

area of the triangle = 144 units²

area of the trapezium = 1 / 2 (a + b)h

where

Therefore,

area of the trapezium = 1 / 2 (18 + 34)16

area of the trapezium = 1 / 2 (52)16

area of the trapezium =  832 / 2

area of the trapezium = 416 unit²

Therefore,

area of the shaded portion = 416 - 144

area of the shaded portion = 272 units²

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Answer:

0.36x ² + 815.04x + 11,340

Step-by-step explanation:

Revenue = price × quantity

p(x) = x+14

d(x) = 0.36x + 810

Revenue = price × quantity

= (x + 14) * (0.36x + 810)

= 0.36x² + 810x + 5.04x + 11,340

= 0.36x ² + 815.04x + 11,340

Company's revenue = 0.36x ² + 815.04x + 11,340

Answer:

A is correct{(-4,4),(-2,4),(1,4),(5,4)}

Answer:

\(84.13^{\circ}\)

Step-by-step explanation:

By the exterior angle theorem, the answer is \(m\angle y+m\angle z=84.13^{\circ}\).

Answer:

Step-by-step explanation:

USE THE EXTERIOR ANGLE THEROME!
FIRST

THE FOMULA

a+b=c

y+z=x

now we have to add y and z

45.43 + 38.7

which gives us 84.13!

Answer:

No

Step-by-step explanation:

This is not a proportional relationship because 30 centimeters/10 years=3 so the other tectonic plate in the different part of the world moves 3 centimeters per year, while the other moves 4.

In other words, 4 is not equal to 3, so it is not a proportional relationship. The first tectonic plate mentioned would move 40 centimeters in 10 years while the other would only move 30 centimeters, so they are not equal.

Hope this helped!

Answer:

\( \frac{3}{4} \)

Step-by-step explanation:

\( \frac{12 - 3}{12} \)

\( \frac{9}{3} \)

cross out the common factor.

\( \frac{3}{4} \)

Answer:

9/12 (or 3/4)

Step-by-step explanation:

If you subtract the number of brownies that Brittany's brother will eat, you will have 9 remaining brownies. So, that means 9 out of the original 12 brownies will be left, or 9/12. Also, you can simplify the fraction. Both 9 and 12 can be divided by 3.

9/12 divided by 3/3 equals 3/4. 3/4 is the fraction in it's simplest form.

So, 9/12 (or 3/4) of the brownies are left.

I hope this helps! Have a lovely day!! :)

A function that forms an arithmetic sequence include the following: D. F(x) = 2x - 4.

In Mathematics and Geometry, the nth term of an arithmetic sequence can be calculated by using this equation:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = -6 + 8 = -4 + 6 = -2 + 4

Common difference, d = -2.

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Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Accoding to the calculations , the correct answer is:

A) Depreciation charge 16,000; revaluation surplus £20,000

According to IAS 16 Property, Plant and Equipment, the depreciation charge for an asset should be based on its carrying amount, useful life, and residual value.

In this case, the buildings were purchased for £400,000 (£480,000 - £80,000) and had a useful life of 25 years. Since there is no residual value, the depreciable amount is equal to the initial cost of the buildings (£400,000).

To calculate the annual depreciation charge, we divide the depreciable amount by the useful life:

£400,000 / 25 = £16,000

Therefore, the depreciation charge for the year ended 30 September 2021 is £16,000.

Now, let's calculate the balance on the revaluation surplus as at that date.

The revaluation surplus is the difference between the fair value of the property and its carrying amount. On 1 October 2020, the property was revalued to £500,000, and the carrying amount was £480,000 (£400,000 for buildings + £80,000 for land).

Revaluation surplus = Fair value - Carrying amount

Revaluation surplus = £500,000 - £480,000

Revaluation surplus = £20,000

Therefore, the balance on the revaluation surplus as at 30 September 2021 is £20,000.

Based on the calculations above, the correct answer is:

A) Depreciation charge £16,000; revaluation surplus £20,000

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Answer:

A

Step-by-step explanation:

(2 x 5 - 2 x 3)/18

(10-6)/18

4/18

(4:2)/ (18:2)

2/9

(2 x 6)/(9x6)

12/54

Answer:

Step-by-step explanation:

the answer is 5/9 but im not sure why it doesnt show the actual number maybe try finding the equal to this answer

the probability that 50 or more requests are made for pop songs is  0.0967, or about 9.67%.

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.

We can use the binomial distribution to model this situation, where the number of trials is 120 (the number of people at the party), and the probability of success (making a request for a pop song) is 0.37. Let X be the number of requests for pop songs. Then:

The mean of X is μ = np = 120 x 0.37 = 44.4

The standard deviation of X is σ = sqrt(np(1-p)) = sqrt(120 x 0.37 x 0.63) = 4.32

To find the probability that 50 or more requests are made for pop songs, we can use the normal approximation to the binomial distribution, which applies when np >= 10 and n(1-p) >= 10.

Let Z be a standard normal random variable, then:

P(X >= 50) = P((X - μ)/σ >= (50 - μ)/σ)

= P(Z >= (50 - 44.4)/4.32)

= P(Z >= 1.2963)

= 1 - P(Z < 1.2963)

= 1 - 0.9033

= 0.0967

Therefore, the probability that 50 or more requests are made for pop songs is approximately 0.0967, or about 9.67%.

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On solving the provided question, we can say that the value of the function is f(x) =  => f(x) = vf(x,y) = (x² + y²) = (x² + y²),

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.

here, the function is f(x) =

f(x) =

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Answer:

12¢

Step-by-step explanation:

Let the unit price of a pencil be x and the unit price of a pen be y.

2x+3y=78¢

3x+2y=72¢

(2x)+3y=78¢

(3x)+2y=72¢

=2x=78¢-3y

=2x/2=78¢/2+3y/2

=x=36¢-1.5y

You then use the equation 3x+2y=72¢.

3(36¢-1.5y)+2y=72¢

=117¢-4.5y+2y=72¢

=117¢-72¢=4.5y-2y

=45¢=2.5y

=45¢/2.5=y

=18¢=y

So a pen costs 18¢.

You then use x=36¢-1.5y

x=36¢-1.5(18¢)

=x=36¢-27¢

=x=12¢

Therefore, a pencil costs 12¢.

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

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Answer:

D. 8/15

Step-by-step explanation:

13/23 = .565217

11/20 = .55

9/17 = .52941176

8/15 = .53333333

Answer:

(1). \(h(t)=-4(t-1)^2+36\)

(2). 1 minute

Step-by-step explanation:

Answer:

I'm sorry, but I cannot see the table you are referring to. However, I can explain the general approach to solving this type of problem.

When flipping a fair coin, there are two possible outcomes: heads or tails. The probability of getting heads on any one flip is 1/2, and the probability of getting tails is also 1/2.

If Vincent has already flipped the coins 40 times and recorded the outcomes, we can use that information to estimate the probability of getting exactly two heads in the next 120 flips.

One way to do this is to find the proportion of the 40 trials that resulted in exactly two heads. Let's say that out of the 40 trials, 10 of them resulted in exactly two heads. Then the proportion of trials that resulted in two heads is:

10/40 = 1/4

This means that the probability of getting exactly two heads in one trial is 1/4.

To find the expected number of trials out of the next 120 that will result in exactly two heads, we can multiply the probability of getting two heads in one trial by the total number of trials:

(1/4) x 120 = 30

Therefore, we would expect that out of the next 120 trials, approximately 30 of them would result in exactly two heads. However, this is just an estimate based on the information given. The actual number of trials that result in exactly two heads could be more or less than 30 due to random variation.

Alright, let's take this step by step.

First, let's understand what an ordinary annuity is. An ordinary annuity is a series of equal payments made at the end of consecutive periods over a fixed length of time. For example, if you save $100 every year for 5 years, that’s an ordinary annuity.

Now, let’s understand the formula to calculate the future value (FV) of an ordinary annuity:

FV = P x ((1 + r)^n - 1) / r

Where:

- FV is the future value of the annuity.

- P is the payment per period (how much you save each time).

- r is the interest rate per period (in decimal form).

- n is the number of periods (how many times you save).

Let’s solve each part:

a) $500 per year for 6 years at 8%.

P = 500, r = 8% = 0.08, n = 6

FV = 500 x ((1 + 0.08)^6 - 1) / 0.08

  ≈ 500 x (1.59385 - 1) / 0.08

  ≈ 500 x (0.59385) / 0.08

  ≈ 500 x 7.4231

  ≈ 3701.55

So, the future value of $500 per year for 6 years at 8% is about $3,701.55.

b) $250 per year for 3 years at 4%.

P = 250, r = 4% = 0.04, n = 3

FV = 250 x ((1 + 0.04)^3 - 1) / 0.04

  ≈ 250 x (1.12486 - 1) / 0.04

  ≈ 250 x (0.12486) / 0.04

  ≈ 250 x 3.1215

  ≈ 780.38

So, the future value of $250 per year for 3 years at 4% is about $780.38.

c) $1,000 per year for 2 years at 0%.

P = 1000, r = 0% = 0.00, n = 2

FV = 1000 x ((1 + 0.00)^2 - 1) / 0.00

  = 1000 x (1 - 1) / 0.00

  = 1000 x 0

  = 0

Wait, something went wrong, because we know that if we save $1000 for 2 years with no interest, we should have $2000. This is a special case, where we just sum the contributions because there's no interest:

FV = 1000 x 2

   = 2000

So, the future value of $1,000 per year for 2 years at 0% is $2,000.

An annuity due is similar to an ordinary annuity, but the payments are made at the beginning of each period instead of the end. To convert the future value of an ordinary annuity to an annuity due, you can use the following formula:

FV of Annuity Due = FV of Ordinary Annuity x (1 + r)

a) Reworked

FV of Annuity Due = 3701.55 x (1 + 0.08)

                 ≈ 3701

.55 x 1.08

                 ≈ 3997.67

b) Reworked

FV of Annuity Due = 780.38 x (1 + 0.04)

                 ≈ 780.38 x 1.04

                 ≈ 810.80

c) Reworked

FV of Annuity Due = 2000 x (1 + 0.00)

                 = 2000 x 1

                 = 2000 (This doesn't change because there's no interest).

And there you have it! The future values for both ordinary annuities and annuities due!

Answer:

The third one down

Step-by-step explanation:

Step-by-step explanation:

hope this helps you

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