Judith’s parents invest money into a bank account to save up for college. The formula
() = ,(.) can be used to find out how much their investment is worth after t years.
a. How much was their initial investment?
b. What was the interest rate the investment earned each year?
c. How much money would be in the account after 18 years?

Answer:

In descending order, you answer would be (70v - 18). Hope this helps!

Step-by-step explanation:

Answer:

the answer is C on edge

Step-by-step explanation:

Based on an interest rate of 8.21% and a duration of 8 years, it will be determined which Direct Benefit project will be accepted.

To determine which Direct Benefit project would be accepted, we need to compare the present value (PV) of each project. The PV represents the current value of future cash flows, taking into account the interest rate and time period.

Let's evaluate each project individually:

1. Project A: The PV of Project A can be calculated using the formula PV = FV / (1 + r)^n, where FV is the future value, r is the interest rate, and n is the number of years. If the PV of Project A is greater than zero, the project will be accepted.

2. Project B: Similarly, we calculate the PV of Project B using the same formula. If the PV of Project B is greater than zero, the project will be accepted.

3. Project C: Again, we calculate the PV of Project C using the formula. If the PV of Project C is greater than zero, the project will be accepted.

By comparing the PV values of all three projects, we can determine which project(s) will be accepted. The project(s) with a positive PV will be considered financially viable, while the one(s) with a negative PV will not be accepted.

Please provide the specific details of the cash flows or any additional information related to the projects in order to calculate the PV and provide a definitive answer on which project(s) will be accepted.

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The argument is valid. That rectangle has four sides.

The argument is valid. The premises state that rectangles have four sides and circles do not have four sides, which are generally accepted facts. The third premise states that Bob is a circle. Based on the premises, it can be logically concluded that Bob is not a rectangle. This conclusion follows from the information provided.

The argument follows the logical form of modus tollens, which states that if a conditional statement (if-then) is negated, then the negation of the consequent (then) can be inferred. In this case, the conditional statement would be "If something is a rectangle, then it has four sides." By negating the consequent ("does not have four sides"), the conclusion "Bob is not a rectangle" can be derived.

Therefore, the argument is valid because the conclusion is a logical consequence of the given premises, demonstrating a valid deduction based on the provided information.

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When John is suddenly and unexpectedly called on by his statistics professor to explain how the chi-square should be implemented, he is required to use impromptu delivery.

Impromptu delivery refers to speaking or presenting without prior preparation or planning.

In this situation, John needs to respond immediately to the professor's question and provide an explanation on the spot.

Impromptu delivery requires thinking on one's feet, organizing thoughts quickly, and delivering a coherent response without the luxury of time for preparation or rehearsal.

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According to the given linear model, when the average low temperature is -2°F, the amount of snowfall in inches can be estimated by substituting x=-2 into the equation y=-3x+53. Therefore, y=-3(-2)+53=59 inches of snowfall is estimated when the average low temperature is -2°F.

The linear model y=-3x+53 represents a negative relationship between the amount of snowfall and the average low temperature. This means that as the temperature decreases, the amount of snowfall increases.

The slope of -3 indicates that for every one-degree decrease in temperature, there is an expected increase of three inches in snowfall.

The y-intercept of 53 represents the amount of snowfall when the temperature is 0°F. By substituting x=-2 into the equation, we are finding the expected value of y when the temperature is -2°F, which is estimated to be 59 inches of snowfall.

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The value of y so that the line has a slope of 1 is given as follows:

y = -2.

The slope of a linear function represents the rate of change of the output variable y relative to the input variable x.

Hence, given two points, the slope is calculated as the change in y divided by the change in x.

The points for this problem are given as follows:

(-1, y) and (4,3).

The change in y is of:

3 - y

The change in x is of:

4 - (-1) = 5.

The slope will have a value of one when:

(3 - y)/5 = 1

3 - y = 5

y - 3 = -5

y = -2.

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Answer:

1. 1/2

2. -4/1

3. 1/1

Step-by-step explanation:

Answer:

1 y=2/1+2

2 y=.25x+3

3 y=x-2

Step-by-step explanation:

Step-by-step

y=mx+b

1. 2

2. .25

3. 1

For the given equation 6+(x/2)=1/4(x-4)-1 the solution is x= -32. So, option D is correct.

A solution is a process of giving the unknown variables values that make the equation's equality true. A value or group of values (one for each unknown) that, when substituted for the unknowns, cause the equation to produce an equality is known as a solution.

In order to build an equation, the equal sign is placed between two numerical or variable expressions, as in 3x+5=11. The solution to an equation is a number that may be used as the variable to generate a true number statement. 6+5=11 is true, as stated by the formula 3(2)+5=11. The solution is consequently 2,

6+(x/2)=1/4(x-4)-1

(12+x)/2=(x-4-4)/4

24+2x=x-8

x= -32

Therefore, option D is correct.

For the given equation 6+(x/2)=1/4(x-4)-1 the solution is x= -32. So, option D is correct.

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The pattern will be attached in the figure attached, in the matrix form.

What is the matrix?

The arrangements of numbers, variables, symbols, or phrases in a rectangular table with varying numbers of rows and columns are known as matrices, which is the plural version of the word matrix. They are rectangular arrays with defined operations for addition, multiplication, and transposition. The constituents of the matrix are its numbers or entries. Vertical entries in matrices are referred to as columns, whereas horizontal entries are known as rows. A matrix is a rectangular array of numbers, variables, symbols, or expressions that are defined for operations like subtraction, addition, and multiplication. The number of rows and columns in a matrix determines its size, sometimes referred to as its order.

We can arrange it as A = (0 0 0 0 1 1 0 0 1)

We know A*TA = 0

If A has an entry 9 then, the sum of all the diagonal elements.

So the T will be the form of the matrix attached below.

Hence the Pattern will be attached in the figure attached.

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The equation of the tangent line at t = -1 is y = -4t - 3

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

x = 7t

y = t⁴

The value of t is given as

t = -1

So, we have

x = 7(-1) = -7

y = (-1)⁴ = 1

This means that the point is (-7, 1)

Calculate the slope of the line by differentiating the function

So, we have

dy/dt = 4t³

The point of contact is given as

t = -1

So, we have

dy/dt = 4(-1)³

Evaluate

dy/dt = -4

By defintion, the point of tangency will be the point on the given curve at t = -1

The equation of the tangent line can then be calculated using

y = dy/dt * t + c

So, we have

1 = -4 * -1 + c

Evaluate

1 = 4 + c

Make c the subject

c = 1 - 4

Evaluate

c = -3

So, the equation becomes

y = -4t - 3

Hence, the equation of the tangent line is y = -4t - 3

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Answer:

31.5 in²

Step-by-step explanation:

The area of a triangle is calculated with the following formula:

1/2*b*h (b: base, h: height)

The height of this triangle is given as 9 and base is 7

1/2*7*9 = 31.5 in²

Answer:

31.5 in²

Step-by-step explanation:

Answer:

The numbers are 8, 24 and 30

Step-by-step explanation:

Let x be the first number.

If the second number is triple the first, then the second number is 3x

If the third number is the second number plus six, then the third number is 3x + 6

So therefore the equation is:

\(x + 3x + (3x + 6) = 62\)

Solving for x,

\(x + 3x + 3x + 6 = 62\\7x = -6 + 62\\7x = 56\\x = 8\)

But why is the second number 24?

\(3x = 24\\3(8) = 24\\24 = 24\)

And why is the third number 30?

\(3x + 6 = 30\\24 + 6 = 30\\30 = 30\)

Answer: 56 crickets

Step-by-step explanation:

Because if for every eleven they fed Draco, Lizzy got eight so, 77/11=7 and 7x8=56

Answer:

413

Step-by-step explanation:

The total purchases for the year ended 28 February 2018 can be found to be £ 45, 000.

The total purchases that Sevket had for the year ended 28 February 2018  can be found by the formula :

Amount paid to suppliers by Sevket + Cash discount received from credit suppliers

Amount paid to suppliers by Sevket = £ 42, 700

Cash discount received from credit suppliers = £ 2, 300

The total purchases are :

= 42, 700 + 2, 300

= £ 45, 000

Note : The option for accounts is Business.

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Answer:

Not a function

Step-by-step explanation:

it does not pass the vertical line test!

Answer:

\(\huge\boxed{\text{(A)} \ x^2 + 3 \ \ \text{(B)} \ (x+3)^2}\)

Step-by-step explanation:

In order to turn these words into expressions, we have to break down the questions.

A:

”3 more than the square of x”

We know that the square of x will be \(x^2\). Adding 3 to that will be \(x^2 + 3\).

B:

We know that the sum of 3 and x will be \(x+3\). We also know that squaring this will get us \((x+3)^2\).

Hope this helped! (Sorry for a short explanation!)

Answer:

the is ether x+3 or 3x depending on what it means

The remainder when x³ - 1 is divided by (x + 3) is  -28

The functions are given as

x 3 1 is divided by x 3

Rewrite them as

f(x) = x³ - 1 is divided by (x + 3)

Set the divisor to 0

So, we have

x + 3 = 0

Determine the value of x

This gives

x = -3

By the remainder theorem

Substitute x = -3 in the function f(x)

So, we have

f(-3) = (-3)³ - 1

Evaluate the expression

f(-3) = -28

By the remainder theorem, this represents the remainder

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Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

When x = 3 m, the particle is moving with a speed of 120 m/sec along the parabola.

To find how fast the angle of inclination θ is changing, we can use the concept of tangent of the angle. The tangent of the angle of inclination θ is given by the ratio of y to x, which in this case is (x²)/x = x.

Since the x-coordinate of the particle is increasing at a steady rate of 20 m/sec, we can differentiate both sides of the equation y = x² with respect to time t:

dy/dt = d(x²)/dt.

Using the chain rule, we have:

dy/dt = 2x(dx/dt).

We know that dx/dt = 20 m/sec, so when x = 3 m, we can substitute these values into the equation:

dy/dt = 2(3)(20) = 120 m/sec.

Therefore, when x = 3 m, the particle is moving with a speed of 120 m/sec along the parabola.

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Answer:

C is the dependent variable and s is the independent variable

Step-by-step explanation:

The value of C depends on the value of s

In the equation C=3.25s, the dependent variable is C, which represents the total cost in dollars. The independent variable is s, which represents the number of shirts.

The dependent variable is called "dependent" because its value depends on the value of the independent variable.

The independent variable is called "independent" because its value is not influenced by the value of the dependent variable.

The total cost C, to dry clean a certain number of shirts s is given by the equation C = 3.25s.

Here, the total cost of dry cleaning depends on the number of shirts being cleaned. As the number of shirts increases, the total cost also increases.

The number of shirts being cleaned is not affected by the cost of dry cleaning. It is a given value that determines the total cost.

Therefore, in the equation C=3.25s, C is the dependent variable and s is the independent variable.

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The area of the region is  rectangles

The given curves are y = x2 and y = 2 − x2. They intersect at x = 1, y = 1. See the graph below. The shaded region enclosed by the curves is the region whose area we wish to find.To find the area of the shaded region,

The left part of the region is the part bounded by the x-axis, the curve y = x2, and the line x = 1. This region is shown below. To find the area of this region, we integrate with respect to y from y = 0 to y = 1. Along the curve y = x2, the values of x are ± y1/2. So we have to integrate from x = −y1/2 to x = 1.

Thus the area of the right part of the region isThus the total area of the shaded region is Approximating rectangle The area of each approximating rectangle is given by height times width. Since we are dividing the region into two parts we

A typical rectangle is shown below. The value of x corresponding to the lower end of the rectangle is x = −y1/2 and the value of x corresponding to the upper end of the rectangle is x = 1. So the height of the rectangle is x2 and the width is Δy = 1/n. Therefore, the area of the rectangle isSince the rectangle is located below the curve, this approximation underestimates the true area of the region.

 Therefore, the area of the rectangle is Since the rectangle is located above the curve, this approximation overestimates the true area of the region. By computing the sum of the areas of all the approximating rectangles and taking the limit as n approaches infinity, we can find the exact area of the region.

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The $130,000 would be considered as Statistic.

In statistics, a population refers to the entire group of individuals or items of interest, while a sample is a subset of the population. A parameter is a numerical value that describes a characteristic of a population.

In this scenario, the survey results are based on a sample of 10,000 graduates out of a total population of 200,000 graduates. The average salary of $130,000 is calculated from the data collected within this sample. Since it is derived from the sample, it is considered a statistic.

A parameter would be used to describe the average salary of the entire population of 200,000 graduates if data were collected from all of them. However, in this case, the given information only pertains to the subset of the sample.

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Answer:

A.

Step-by-step explanation:

in A. your q is 3 so: a1=1 a2= a1*q=3 a3=a2*q=9 and so on.

i C. its almost the right answer too,but notice that a1 is 0. so 0*2 is still 0 so though it looks almost perfect the first number ruins it

Answer:

The answer is B

Step-by-step explanation:

lol i had the same question

Answer:

5+5=10

Step-by-step explanation:

If you have 5 fingers on 2 hands, you put them together and count 1 by 1. if not then since there are 2 5s, multiply 5 and 2, hten tell you're teavher you dont got no fingers

Answer:

83.04

Step-by-step explanation:

First, you need to know how many drivers there are. But if the question doesn't tell you how many drivers then the answer would be 83.04 for one bus driver. If you forgot to add how many drivers then you can just multiply 83.04 to how many bus drivers then you get your answer.

Multiplication is undefined for the set of matrices which is A: 3x2 and B: 3x2.

A matrix refers to a rectangular arrangement of numbers into rows and columns. Each number in a matrix is referred to as a matrix element or entry.  The dimensions of a matrix indicate the number of rows and columns of the matrix in that order, hence if a matrix A has 2 rows and 3 columns, it is called a 2 x 3 matrix. In matrix multiplication, each entry in the product matrix is the dot product of a row in the first matrix and a column in the second matrix. In order for matrix multiplication to be defined, the number of columns in the first matrix must be equal to the number of rows in the second matrix. If the number of columns in the first matrix is not equal to the number of rows in the second matrix, the multiplication is undefined. From the provided options, the set of matrices that have undefined multiplication is A: 3x2 and B: 3x2 as the number of columns in A (2) is not equal to number of rows in B (3).

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