Marcus has opened a savings account where the yearly interest rate is 10%. He deposits $1,000 to start the account. After t years, the amount of money in the account is modeled by the function An=1,0001+0.10t. Which functions below would be an approximate equivalent function?


Select all that apply.


A. An=1,000(1.10)t

B. An=1,000(1+0.008)^12t

C. An=1,000(1+0.46)^4t

D. An=1,000(1.008)^t/12

E. An=1,000(1.46)^t/4

Answer:

Yes

Step-by-step explanation:

I hope this helps!

Answer:

The answer is -51.24

Step-by-step explanation:

-4.20×6.1÷1/2

= -4.20×6.1×2/1

= -4.20×12.2

= -51.240

Step-by-step explanation:

Tom = s

Nancy = r

s=r-2 = Tom=Nancy-2

This means that Tom has $2 less than Nancy as they stayed in the information they gave us. They want us to complete the graph.

Since Tom has $2 less than Nancy all we have to do is apply rule -2 to each number.

4-2=2

8-2=6

12-2=10

Therefore the numbers to add to the graph are 2, 6, and 10.

The best selection for the quadrilateral with the given vertices is: parallelogram.

Recall:

Parallel lines are lines do not intersect and they are equal distant apart.

The opposite side of a parallelogram are of equal length.

Thus, the points of the vertices of the quadrilateral has been graphed in the diagram shown below:

Point A (-2,0)

Point B (0,4)

Point C (6,4)

Point D (4,0)

Find the distance between each vertices using the distance formula: \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)

Distance between Point A (-2,0) and Point B (0,4):

\(AB = \sqrt{(0 -(-2))^2 + (4 - 0)^2} \\\\\mathbf{AB = \sqrt{20} }\)

Distance between Point B (0,4) and Point C (6,4):

\(BC = \sqrt{(6 - 0)^2 + (4 - 4)^2} \\\\\mathbf{BC = 6 }\)

Using the same distance formula, CD = √20 while AD = 6

This means that the opposite sides of the quadrilateral with the given vertices are equal in length. Parallelogram has two pairs of equal sides.

Therefore, the best selection for the quadrilateral with the given vertices is: parallelogram.

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Answer:

a15 = 58x + 63

Step-by-step explanation:

number of terms (n) = 15

first term (a1) = 2x + 7

second term (a2) = 6x + 11

common difference (d) = a2-a1 = 6x + 11 - (2x + 7)

                                                   = 6x + 11 - 2x - 7

                                                   = 4x + 4

                                                   = 4(x + 1)

15th term (a15) = ?

                                  equation :

                  a15 = a1 + (n - 1) × d

                  a15 = 2x + 7 + (15 - 1) × 4(x + 1)

                  a15 = 2x + 7 + 14 × 4 × (x + 1)

                  a15 = 2x + 7 +  56(x + 1)

                  a15 = 2x + 7 +  56x + 56

                  a15 = 58x + 63

Answer:

the answer would be 27.6.

Step-by-step explanation:

sorry for the horrible handwriting, hopefully u can understand this!!

The integral f(x, y, z) dV E as an iterated integral can be expressed in six different ways, where E is the solid bounded by the given surfaces.

To express the integral as an iterated integral, we need to determine the limits of integration for each variable.

First, we can find the limits of integration for z The plane z = 0 is the xy-plane, and the plane y + 4z = 16 can be rewritten as z = (16 - y)/4. So the limits of integration for z are 0 to (16 - y)/4.

Next, we can find the limits of integration for y  The surface y = x^2 bounds the solid from below in the y direction, and the plane y + 4z = 16 bounds the solid from above in the y direction. So the limits of integration for y are x^2 to 16 - 4z.

Finally, we can find the limits of integration for x There are no explicit surfaces that bound the solid in the x direction, so we can use the limits of integration for y to determine the limits of integration for x.

With these limits of integration, we can express the integral in six different ways over dz dy dx:

∫∫∫E f(x, y, z) dV = ∫0^(16/4) ∫x^2^(16 - 4z) ∫0^g(x, y) f(x, y, z) dz dy dx

where g(x, y) = (16 - y)/4

∫∫∫E f(x, y, z) dV = ∫x^2^4 ∫0^16-4z ∫0^g(x, y) f(x, y, z) dz dx dy

where g(x, y) = (16 - y)/4

∫∫∫E f(x, y, z) dV = ∫x^2^4 ∫0^g(x, y) ∫0^(16 - 4z) f(x, y, z) dz dy dx

where g(x, y) = 16 - 4z

∫∫∫E f(x, y, z) dV = ∫0^4 ∫x^(1/2)^4 ∫0^g(x, y) f(x, y, z) dy dx dz

where g(x, y) = (16 - 4z)

∫∫∫E f(x, y, z) dV = ∫0^(16/4) ∫0^(16 - 4z) ∫y^(1/2)^4 f(x, y, z) dy dz dx

∫∫∫E f(x, y, z) dV = ∫0^4 ∫x^(1/2)^4 ∫0^(16 - 4z) f(x, y, z) dz dy dx

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The term that can be added to the list so that the greatest common factor of the three terms  12h3 36h3, 12h6, is 48h5

A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.

The term that  can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12  without any  fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.

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Answer: To plot ratios and rates as ordered pairs on the coordinate plane, you can follow these steps:

Understand the ratio or rate: Make sure you understand the meaning and value of the ratio or rate you are working with. A ratio compares two quantities, while a rate compares two quantities with different units.

Choose a coordinate system: Set up a coordinate system on the plane with an x-axis and a y-axis. Determine the range of values you want to plot on each axis based on the given ratio or rate.

Determine the values for the axes: Assign the x-axis and y-axis values based on the given ratio or rate. For ratios, you can assign the values of the ratio to the x and y axes directly. For rates, you will need to convert the rate into a ratio by choosing a unit for one of the quantities.

Plot the points: Use the values obtained from step 3 as the x and y coordinates for each ordered pair. Plot the points on the coordinate plane.

Connect the points (if applicable): If you have multiple points, you can connect them with a line to show the relationship between the ratios or rates.

Label the axes and title the graph (if applicable): Add labels to the x and y axes to indicate the quantities being compared. You can also add a title to the graph to describe the relationship being represented.

Step-by-step explanation:

Answer:

Graph D. is the correct graph.

The size tray of plants which is the best value for money is large tray.

A small tray of 10 plants costs £2.50

Cost per unit = Total cost / number of plants

= £2.50 / 10 plants

= £0.25 per plant

A medium tray of 40 plants costs £8.40

Cost per unit = Total cost / number of plants

= £8.40 / 40 plants

= £0.21 per plant

A large tray of 90 plants costs £12.60

Cost per unit = Total cost / number of plants

= £12.60 / 90 plants

= £0.14 per plant

Hence, the large tray of 90 plants costs £12.60 is the best buy for your money.

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Answer: 14%

Step-by-step explanation: To find the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade, we divide the number of members who meet both criteria (14) by the total number of members (100) and multiply by 100 to get a percentage. Therefore, the probability is approximately 14%.

- Lizzy ˚ʚ♡ɞ˚

Answer:

\(x = \frac{129}{2} \)

Step-by-step explanation:

\(x = ( - 2 {)}^{ - 2} \times 2 - 4 \times 1 \times ( - 8) \times 2 \times 1\)

\(x = ( - 2 {)}^{ - 2} \times 2 + 4 \times 1 \times 8 \times2 \times 1\)

\(x + 2( ( - 2 {)}^{ - 2} + 4 \times 8)\)

\(x = 2( {2}^{ - 2} + 32)\)

\(x = 2( \frac{1}{ {2}^{2} } + 32)\)

\(x = 2( \frac{1}{4} + 32)\)

\(x = 2 \times \frac{129}{4} \)

\(x = \frac{129}{2} \)

Answer:

i need helppppppppppppppp

Step-by-step explanation:

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

im not in collage but I'll try ok so its most likely

Factor then solve to find the complex solutions.

x=2πn, for any integer n

if i was right could i get brainly?

first find the price of 1 donut...

7.08 / 12 = 0.59

5.84 / 8 = 0.73

Donald's donut shop

Answer:

\(3.5\)

Step-by-step explanation:

The value of \(|-3.5|\) is \(3.5\), because you have \(|-3.5|\) and it will change to \(3.5\) by the absolute value, which it turned from negative to a positive.

Answer:

47/42 or 1.119047619

Step-by-step explanation:

-54/7, 53/6 are the greatest and least numbers and when you add them you get 47/42.

Yes,The law of large number says that if you take sample of larger and larger size forming population than the mean of the sampling distribution u-x tend to get closer to true population.

As a sample size increases, the sample mean and standard deviation will be closer in value to the population mean μ and standard deviation σ.Very large samples tend to transform small differences into statistically significant differences.

There are following steps for finding sample mean

Add up the sample items. Firstly we will need to count how many sample items you have within a data set and add up the total amount of items.

Divide sum by the number of samples.

The result is the mean.

Use the mean to find the variance.

Use the variance to find the standard deviation.

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Answer:

As a result, the extended form of (-8k+1)(-8k+1) is 64k²-16k+1, which is a polynomial in standard form.

A polynomial is an algebraic expression consisting of one or more terms, where each term contains a variable raised to a non-negative integer power, and may include coefficients, constants, and exponents. Polynomials can have one or more variables, and they can be of various degrees, depending on the highest exponent in the expression. Polynomials can be added, subtracted, multiplied, and divided, just like numbers. They are an important concept in algebra, and are used in many different areas of mathematics and science. Polynomials are often written in standard form, where the terms are arranged in descending order of degree, and the coefficients are written in front of the corresponding variable, separated by the multiplication symbol.

Here,

To expand the expression (-8k+1)(-8k+1), we can use the FOIL method, which stands for "First, Outer, Inner, Last".

First, we multiply the first terms of each binomial:

(-8k) x (-8k) = 64k²

Next, we multiply the outer terms of each binomial:

(-8k) x (1) = -8k

Then, we multiply the inner terms of each binomial:

(1) x (-8k) = -8k

Finally, we multiply the last terms of each binomial:

(1) x (1) = 1

Putting all these products together, we get:

64k² - 16k + 1

So, the expanded form of the expression (-8k+1)(-8k+1) is 64k² - 16k + 1, which is a polynomial in standard form.

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Answer:

2^3 • 3^2

Step-by-step explanation:

\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)

\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)

\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)

\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)

\( \sf \longrightarrow \: \: 100n =20\\ \)

\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)

\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)

Answer:-

To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:

Step 1: Distribute the 5 on the left side:

\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)

Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:

\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)

\(\sf 5n = 1 \\\)

Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):

\(\sf \frac{5n}{5} = \frac{1}{5} \\\)

\(\sf n = \frac{1}{5} \\\)

Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).

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Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

Answer:

x=7

Step-by-step explanation:

Answer:

Using Pythagoras Theorem, squareroot 15^2 - 5^2.

After you found the opposite length, use the cosine rule to find angle x.