Suppose you invest $5,000 in an account earning 4.71% APR compounded
monthly. How much money will be in the account after 15 years?

Answer:

the angle is not in standard position

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

OMG I finally know one on here!

equation has infinitely many solutions has the same number on both sides of the equal sign

-3x -21 + x + 5 = -20x -16

-2x -16 = -20x -16

so either you have -18x on the left or +18x in the right

Answer: Slope formula: m = y2 - y1/ x2 - x1

2 - (-2)/ 1 - 0

2 + 2/1

4/1

Slope = 4

Would appreciate brainly <3

Answer:

1) 9 teenagers

2) 100 pounds

3) . . .

4) 81 minutes

5) 48 minutes

6) 67.5 minutes

7) . . .

8) $10.20

9) . . .

10) . . .

Sorry that I wasn't able to get all of the answers.

I'm also not sure if number 4 is correct, but I don't know what else it would be.

But anyway, hope it helps!

Solution:

The shadow of an object is directly proportional to its height. Thus,

\[\frac{\text{Height of object}}{\text{Length of shadow}} = \frac{6}{16} = \frac{3}{8}.\]

Therefore, the height of the flagpole is $\frac{3}{8} \cdot 72 = \boxed{27}$ feet.

Your Response(s):

$ 27

VtProblem 2 – Correct! – Score: 7 / 7 (28044)

Problem: Report Error

Twelve hungry teenagers can devour a very large pizza in $20$ minutes. How many teenagers would it take to finish a very large pizza in $15$ minutes? (Assume that all teenagers eat pizza at the same rate.)

(Based on Problem 7.5 of the textbook.)

Solution:

Each of the twelve teenagers eats $\frac{1}{12}$ of the pizza in $20$ minutes. Thus, the rate of a teenager is

\[\frac{\frac{1}{12} \text{ pizza}}{20 \text { minutes}} = \frac{1}{240} \ \frac{\text{pizza}}{\text{minute}}.\]

This means in $15$ minutes, each teenager can eat

\[(15 \text{ minutes}) \left( \frac{1}{240} \ \frac{\text{pizza}}{\text{minute}} \right) = \frac{1}{16} \text{ pizza}.\]Therefore, it will take $\boxed{16}$ teenagers.

Alternatively, the number of teenagers is inversely proportional to the time it takes them to finish. From the given information, the constant of proportionality is $12 \cdot 20 = 240.$ Therefore, the answer we seek is $\frac{240}{15} = \boxed{16}.$

Your Response(s):

$ 16

VtProblem 3 – Correct! – Score: 1 / 7 (28043)

Problem: Report Error

For a statue of Miss Levans, the amount of gold required is directly proportional to the square of the height of the statue. A statue of Miss Levans that is $20$ feet tall requires $80$ pounds of gold. How many pounds of gold does a statue that is $25$ feet tall require?

We suggest you study Section 7.1 if you find this problem difficult.

Solution:

Let $h$ be the height of the statue, and let $g$ be the amount of gold required. Then

\[g = kh^2\]for some constant $k.$

Since $g = 80$ when $h = 20,$

\[80 = k \cdot 20^2,\]so

\[k = \frac{80}{20^2} = \frac{1}{5}.\]

So when $h = 25,$

\[g = \frac{1}{5} \cdot 25^2 = \boxed{125}.\]

Hint(s):

Let $h$ be the height of the statue, and let $g$ be the amount of gold required. Then $g = kh^2$ for some constant $k.$ Find $k.$

Your Response(s):

% 100

% 625/4

% 10000

$ 125

VtProblem 4 – Correct! – Score: 7 / 7 (28041)

Problem: Report Error

Tina lives $30$ miles away from her work, and she normally drives at $45$ miles per hour. If she wants to get to work $10$ minutes earlier, how fast should she drive to work, in miles per hour?

We suggest you study Section 7.4 if you find this problem difficult.

Solution:

Answer:

10 root 2

Step-by-step explanation:

root 200 = root 2 × root 100 = 10 root 2

Answer:

a) $1,133,119.65.

b) $288,000

c) $845,119.65

Step-by-step explanation:

Future value with annuity:

The future value formula, for an annuity, is:

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

An annuity means that a number of payments happen during the period.

P is the value of the deposit, r is the interest rate(per year), as a decimal, and n is the number of deposits.

800 per month:

So \(P = 800\).

Each month, for 30 yeas:

This means that \(n = 12*30 = 360\)

7% interest

Yearly, however, we pay the amount monthly. So \(r = \frac{0.07}{12}\)

a) How big of a loan can you afford?

This is FV.

\(FV = \frac{800((1+ \frac{0.07}{12})^{360} - 1)}{\frac{0.07}{12}} = 1113119.65\)

You can afford a loan of $1,133,119.65.

b) How much total money will you pay the loan company?

$800 for 360 months. So

$800*360 = $288,000

You will pay the loan company $288,000

c) How much of that money is interest?

The rest of the $1,133,119.65.

$1,133,119.65 - $288,000 = $845,119.65

$845,119.65 of that money is interest.

Answer:

92%

Step-by-step explanation:

Answer: Observational Study

Natalie is observing the people who step on the seal, and counting each one through a tally system or frequency table. By frequency table, I mean that she may have each row represent a different day, and at the very bottom is the total count (the sum of everything in the frequency column).

Natalie is not conducting an experiment because she doesn't have two groups (treatment vs control) and she's not directly interacting with the people she's observing. This also means she's not conducting a survey either. That would involve her having to ask each student to fill out a form, or answer questions.

Answer:

5x^2

Step-by-step explanation:

thats what i got

Answer:

9x^2

Step-by-step explanation:

This your answer because like i see the pic 24x^3 is repeated and when i did the problem i got that first ,but i was almost forgeting to simplify and but when i simplify i got 9

Hope this helps:)

pls mark brainly

Answer:

X ≥ 3   (D)

Step-by-step explanation:

I got it right on Khan Academy :)

The use of a song to learn and retain information is called " Music Mnemonics"

Answer: Music Mnemonics

Step-by-step explanation:

The rule may be extended or generalized to products of three or more functions, to a rule for higher-order derivatives of a product, and to other contexts.

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Bond angle would be 109.5°

What are bond angles?

The three-dimensional configuration of the atoms that make up a molecule is known as molecular geometry. In addition to bond lengths, bond angles, torsional angles, and any other geometrical factors that govern each atom's position, it also includes the molecule's overall structure.

Based on the information provided, the element x is likely to be chlorine, which has four valence electrons and an electronegativity of 3.0. If this is the case, then the compound xocl2 is likely to be dichlorine monoxide, which is a diatomic molecule with the formula Cl2O.

The geometry of dichlorine monoxide is bent, with an angle of approximately 113 degrees between the two chlorine atoms and the oxygen atom. This is due to the fact that the oxygen atom is more electronegative than the chlorine atoms, which causes the shared electrons in the oxygen-chlorine bonds to be more attracted to the oxygen atom. This causes the bond angles to be slightly less than the ideal tetrahedral angle of 109.5 degrees.

 \(import\ graph; \\size(8cm);\\ real ticklen=3; \\pen axispen=black+1.3bp;\\ pen gridpen=gray(0.22);\\ pen tickpen=black+0.8bp;\\ pen ticklabelpen=black;\\ pen vectorpen=black; \\\)

\(xaxis(extend=true, Ticks("%", pTick=tickpen, pTickLabel=ticklabelpen, Label("$x$", position=EndPoint, p=vectorpen),extend=true,extend_length=-10),p=axispen, above=true); \\\\yaxis(extend=true, Ticks("%", pTick=tickpen, pTickLabel=ticklabelpen, Label("$y$", position=EndPoint, p=vectorpen),extend=true,extend_length=-10),p=axispen, above=true); \\draw((0,0)--(2,0)--(1,1.73)--cycle); \\label("Cl", (0,0), SW); label("O", (1,1.73), N); \\label("Cl", (2,0), SE);\)

The actual structure of the molecule may be slightly different due to the presence of electronic and vibrational energy.

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The smallest positive debt that can be paid off using sticker trading is $7$ dollars.

To find the smallest positive debt that can be paid off using sticker trading, we need to consider the values of the stickers (in dollars) and find the smallest positive amount that can be reached through a combination of these values.

Given that a Harry Potter sticker is worth $49 and a Twilight sticker is worth $35, we can approach this problem using the concept of the greatest common divisor (GCD) of these two values.

The GCD of $49$ and $35$ is $7$. This means that any multiple of the GCD can be represented using these sticker values.

In other words, any positive multiple of $7$ dollars can be paid off using sticker trading.

Therefore, the smallest positive debt that can be paid off using sticker trading is $7$ dollars.

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Answer:

128

Step-by-step explanation:

If you multiply you get it.

Answer:

The GCF of these numbers are 32.

Step-by-step explanation:

All of these integers are able to be divided, and by the first number.

Hope this helps! :3

The estimated value of 2/3 is roughly 0.67, of 1 it is 1 and for 0 it is 0.

What does a estimate mean?

A number given to a demographic parameter that was taken from the a statistical sample. A pricing estimate for the job that needs to be done. 3. an assessment or view of the essence, character, or trait of an object or a person.

What is an illustration of an estimate?

To make computations simpler, an estimate is an approximate estimation of the real value, amount, or quantity.

For 2/3, on dividing we get the value as 0.67.

Since 1 is a number and doesn't need to be rounded or approximated, the guess is 1.

Since it is a number without a fractional component, the approximation of 0 also is 0.

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Answer:

130

Step-by-step explanation:

3*10 =30+100=130

Answer:

f(h(x)) = 2x - 4

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = x - 7

h(x) = 2x + 3

f(h(x)) is x = h(x)

Step 2: Find f(h(x))

Answer:

To solve for x, we need to isolate x on one side of the equation.

First, we can start by subtracting 2 1/4 from both sides of the equation:

5 1/6x = 10 - 2 1/4

5 1/6x = 7 3/4

Next, we can simplify the left side of the equation by multiplying the whole equation by the reciprocal of 5 1/6, which is 6/31:

(6/31) * 5 1/6x = (6/31) * 7 3/4

x = 3/2

Therefore, the value of x in the equation is 3/2.

Answer:

$2.14 per gal.

Step-by-step explanation:

32.05/15 = 2.137 per gal

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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9514 1404 393

Answer:

Step-by-step explanation:

This is to help you learn to take advantage of the distributive property and the fact that multiplication can simplify repeated addition.

The numbers to be added include ...

This means we can add 11 and -7, and multiply the result by 3. It also means we can multiply -8 by 4. The sum of these products will be the same as the sum of the original 10-number set.

  3(11 -7) +4(-8) = 3(4) -32 = 12 -32 = -20

Answer: