Bashir deposits money into a savings account every year. In his first year of saving money, he deposited $1,500.
Each year after that, he deposited $2,250. Write an explicit expression to represent the total amount of money, in
dollars, Bashir has deposited into his account, where n represents the number of years he has been contributing
money to the account.
For n ≥ 1, the explicit expression is
Will mark BRAINLYIST

Answer:

63.44 feet

Step-by-step explanation:

tan(68 degrees)= 85/y  

y tan (68 degrees)=85

y=85/tan(68 degrees) ( cross multiply)

y = 34.34 feet

tan (41 degrees)=85/x+y

(x+y)tan(41 degrees)=85

x+y=85/tan 41 degrees

x=85/tan(41 degrees) - y

x= 85/tan (41 degrees)-(34.34) (cross multiply)

Therefore, Travis stepped back 63.44 feet to gain a better view!

Answer:

The answer to this problem is 170.300

Using the number line below, where RS=6y+3, ST=4y+8, and RT=61, the value of y was found to be 4.

An area of a line that can connect two points is known as a line segment. A and B, the ends of this line segment, both have fixed lengths. The separation between endpoints A and B is the length of this line segment. An area or portion of a line with two endpoints is known as a line segment. A line segment has a set length as opposed to a line. Both metric measurements, such as millimeters and centimeters, as well as conventional units, such as feet or inches, can be used to measure the length of a line segment. The length of one line segment in comparison to the other when there are two can be determined just by glancing at them. The line segment CD is longer than AB, as can be seen.

given

ST = 2y + 9 RS = 7y + 3

RT = 14y - 8

S lies between R and T, hence we can deduce that:

RS plus ST = RT

Therefore, we can swap out the equations for each of the segments above to obtain:

We can now solve this for y; to do so, let's move all the phrases that begin with y to the left.

14y -7y - 2y = 3 + 9 + 8\s(14 - 7 - 2) (14 - 7 - 2)

*y = 20

5*y = 20

y = 20/5 = 4\

y = 4

The value of y was determined to be 4.

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Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

Answer:

3.4567 is a rational number

Step-by-step explanation:

An irrational number has no ending while a rational number does. An irrational number can not be written as a fraction while a rational number can. Basically, all you have to do to figure out if a number is rational or irrational is to figure out if it has an ending.

For example, if you had 234.888888888 irrational but if the number was 234.98989654 then it would be rational

Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!

Answer:

x=80

Step-by-step explanation:

This is really simple especially since you have a right triangle, you can easily determine x using trigonometry.

The cosine of an angle in a right triangle is defined by it's adjacent side divided by the hypotenuse.

\( \cos(50) = \frac{51}{x} \)

The angle in question is 50, the hypotenuse is the side facing the 90° angle and the adjacent side is the one next to it.

By cross multiplication i can rewrite this as:

\(x = \frac{51}{ \cos(50) } \)

\(x = \frac{51}{0.64278} \)

\(x = 79.34\)

Round to the nearest ten

\(x = 80\)

Answer:

Exact form: 7/143

Decimal form: /0.048951

Answer:

\(x=\frac{7}{143}\)

Step-by-step explanation:

Simplify the right side of the equation. \(3x+21=432x\). Subtract 21 from both sides of the equation. \(3x=432x-21\). Subtract 432x from both sides of the equation, \(-429x=-21\). The negative signs cancel out to get \(429x=21\). Divide both sides but 429 to get \(x=\frac{21}{429}\).  Reduce to get \(x=\frac{7}{143}\).

Answer:

Z

Step-by-step explanation:

The different 2-member groups that are possible is 28

From the question, we have

Total number of members, n = 8

Numbers to selection, r = 2

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 8 and r = 2

Substitute the known values in the above equation

Total = ⁸C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 8!/(6! * 2!)

Evaluate

Total = 28

Hence, the number of ways is 28

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Step-by-step explanation:

the center of the circle is the midpoint of the diameter.

and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).

the midpoint between points A and B

(xm, ym) = ((xa + xb)/2, (ya + yb)/2)

in our case the midpoint (center of the circle) is

((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)

about the radius

diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =

= 113

diameter = sqrt(113) = 10.63014581...

radius = diameter / 2 = 5.315072906... ≈ 5.315

Answer:

347000

Step-by-step explanation:

Answer:

20 girls

Step-by-step explanation:

boys: girls

3          5

There are 12 boys

12/3 = 4

Multiply each side by 4

boys: girls

3*4      5*4

12         20

Answer:

20 girls

Step-by-step explanation:

Divide 12 by 3 : 12/3 = 4

Multiply 4 by 5 : 4*5 = 20

Answer:

x = 0.3

Step-by-step explanation:

f(x) = 2x2 + 20x – 10

0 = 4 + 20x - 10

0 = - 6 + 20x

- 20x = - 6

=

x= 3/10 =

x = 0.3

The fact that and allows you to conclude that the system is consistent because if two vectors are equal, then their components must be equal.

Since and , we can set up the following linear system of equations:

Ax = b

where A is the matrix and x and b are the vectors. Since we know that and , then the system of equations is consistent. This is because if two vectors are equal, then their components must be equal. Therefore, if and , then

a1x1 + a2x2 = b1

a3x1 + a4x2 = b2

Since the two vectors are equal, then the components must be equal as well, so

a1x1 + a2x2 = a3x1 + a4x2

which can be rearranged to

(a1 - a3)x1 + (a2 - a4)x2 = b1 - b2

Since b1 - b2 is a constant, then the coefficient of x1 and x2 must both be 0, meaning that the system is consistent.

The fact that and allows you to conclude that the system is consistent because if two vectors are equal, then their components must be equal. This means that if and , then we can rearrange the system of equations to get (a1 - a3)x1 + (a2 - a4)x2 = b1 - b2, which implies that the coefficients of x1 and x2 must both be 0, meaning that the system is consistent.

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In general, the angle of intersecting secants theorem states that

Therefore, in our case,

The second coordinate of the given first coordinate is determined as;

f(0) = 1 and (1) = 0.7.

The second coordinate of the given first coordinate is calculated by applying the following method as follows;

The given function;

F(x) = 0.7ˣ

The value of f(0) is calculated as;

f (0) = 0.7⁰  = 1

The value of f(1) is calculated as;.

f (1) = 0.7¹ = 0.7

Thus, the second coordinate of the given first coordinate is determined by applying the appropriate substitute of the function as shown above.

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The amοunt οf space within the cylinder that is nοt taken up by the tennis balls is abοut 12.56 cubic inches.

A cylinder is a three-dimensiοnal geοmetric shape that cοnsists οf twο parallel circular bases οf the same size and shape, and a curved lateral surface cοnnecting the bases.

The vοlume οf the cylindrical cοntainer can be calculated using the fοrmula fοr the vοlume οf a cylinder:

Vcylinder = πr²h

where the cylinder's radius (r) and height (h) are given.

Substituting the given values, we have:

Vcylinder = 3.14 x 1² x 8Vcylinder = 25.12 cubic inches

The vοlume οf οne tennis ball can be calculated using the fοrmula fοr the vοlume οf a sphere:

Vball = 4/3 x πr³

where r is the radius οf the tennis ball.

Substituting the given value, we have:

Vball = 4/3 x 3.14 x 1³

Vball = 4.19 cubic inches

Since there are three tennis balls, the tοtal vοlume they take up is:

3 x Vball = 3 x 4.19 = 12.57 cubic inches.

Therefοre, the amοunt οf space within the cylinder that is nοt taken up by the tennis balls is:

Vcylinder - 3 x Vball = 25.12 - 12.57 = 12.55 cubic inches

Rοunding this answer tο the nearest hundredth gives:

12.55 rοunded tο the nearest hundredth is 12.56 cubic inches.

Hence, the amοunt οf space within the cylinder that is nοt taken up by the tennis balls is abοut 12.56 cubic inches.

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we learned this in our lower i dont remember exactly but i think~

the probability that it will land on an even number will be 3 as there are 3 odd number and 3 even number

Answer:

1/2

Step-by-step explanation:

n(E) = 9

n(S) = 18

p(E1) = \(\frac{n(E1)}{n(S)}\)

=9/18

=1/2

the answer is 14 strips of fabric.

Answer:

I think that's 11,8

Step-by-step explanation:

Hope its right

The balance sheet attached shows the Total Assets to be $55.968M  and Total Liabilities and Capital to be $252M respectively.

1. Assets:

  a. Cash in Reserves:

The required reserves are 5.4% of checkable deposits.

Therefore, the required reserves amount to 5.4% of $92 million, which is:

(0.054 * $92 million) = $4.968 million.

This amount is considered a liability for the bank, but it is held as an asset in the form of cash reserves.

  b. Loans: The bank made a $28 million commercial loan and a $23 million mortgage loan. Therefore, the total loans amount to:

total loan =  $28 million + $23 million

                 = $51 million.

2. Liabilities:

  a. Checkable Deposits:

The bank received $92 million in checkable deposits.

  b. Required Reserves:

As mentioned above, the required reserves amount to $4.968 million.

3. Capital:

  The bank started with $155 million in capital.

Based on the above information, the bank's balance sheet would look as attached.

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Answer: Easy, hope this helps!

Nonequivalent

Step-by-step explanation:

1/24 = 1/24

3/8 = 9/24

1/24 and 9/24 is nonequivalent

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

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