What is the square root of 15.6 to the nearest integer?

The schedule is as follows:

T1 -> T2 -> T1 -> T3 -> T1 -> T2 -> T1.

To construct a schedule using the Earliest Deadline First (EDF) scheduling algorithm, we need to consider the execution time, period, and deadline of each task and assign them priorities based on their deadlines. The task with the earliest deadline will be scheduled first. Let's create a schedule for the given task set:

Task T1: Execution time (e) = 2 ns, Period (P) = 5 ns, Deadline (D) = 5 ns

Task T2: Execution time (e) = 4 ns, Period (P) = 7 ns, Deadline (D) = 7 ns

Task T3: Execution time (e) = 7 ns, Period (P) = 7 ns, Deadline (D) = 7 ns

We have a period of 22 ns, and we need to schedule these tasks within that period. Let's start with the task with the earliest deadline:

At time 0 ns: Execute T1 (2 ns)

At time 2 ns: Execute T2 (4 ns)

At time 6 ns: Execute T1 (2 ns)

At time 8 ns: Execute T3 (7 ns)

At time 15 ns: Execute T1 (2 ns)

At time 17 ns: Execute T2 (4 ns)

At time 21 ns: Execute T1 (2 ns)

This completes the execution of all tasks within the given period of 22 ns. The schedule is as follows:

T1 -> T2 -> T1 -> T3 -> T1 -> T2 -> T1

In this schedule, we have followed the EDF algorithm by selecting tasks based on their deadlines. The task with the earliest deadline is always scheduled first to meet the timing requirements of the system.

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The value of dimensions of a triangular prism a = 5m, dimension a = 15m and dimension c = 9m.

A prism is a solid form that is enclosed by plane faces on all of its sides. A prism has two different kinds of faces. Bases refer to the identical top and bottom faces. The name "prism" refers to the form of these bases. For instance, a prism is referred to be a triangular prism if its base is triangular.

The faces of a prism that are not the top and bottom are referred to as its lateral faces. The class of parallelograms also includes all the lateral faces, all of which are identical to one another.

To find the dimensions of a, b and c, we first open all  the faces of prism in first figure, than we compare it with second figure, we find that,

The value of dimensions of a triangular prism a = 5m, dimension a = 15m and dimension c = 9m.

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Answer:

(a) a = 22 or 2

(b) The equations of AD are

y = x/2 + 7

or

y = x/2 + 17

(c) The equation of CD is y = -2·x - 3

(d) The coordinate of the point D is either (-8, 13) or (-4, 5)

(e) the possible areas are;

250 square units or 270 square units

Step-by-step explanation:

With only the details of the trapezium, without the drawing, we have as follows;

(a) The given points are;

A(a, 18), B(12, -2), and C(2, -7)

The length of BC is given from the formula for finding the length, l, of a line with the coordinates of the end points as follows;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

\(l_{BC} = \sqrt{\left ((-7)-(-2) \right )^{2}+\left ((2)-(12) \right )^{2}} = \sqrt{\left ((-5) \right )^{2}+\left (-(10) \right )^{2}} = 5\cdot \sqrt{5}\)

∴ From \(l_{AB} = l_{BC}\), we have;

\(l_{AB}\) = 2 × 5·√5 = 10·√5

Which gives;

\(l_{AB} = \sqrt{\left ((18)-(-2) \right )^{2}+\left (a-12 \right )^{2}} = \sqrt{\left 20 \right ^{2}+\left (a-12 \right )^{2}}= 10 \cdot \sqrt{5}\)

20² + (a - 12)² = 500

(a - 12)² = 500 - 20² = 500 - 400 = 100

(a - 12)² = 100

a - 12 = ±√100 = ±10

a = 10 + 12 or -10 + 12

a = 22 or 2

(b) The equation of BC is given as follows;

The slope, m, of BC = (-7 -(-2)/(2 - 12) = -5/-10 = 1/2

The equation of BC is therefore;

y - (-7) = 1/2×(x - 2)

y + 7 = x/2 - 1

y = x/2 - 1 - 7 = x/2 - 8

y = x/2 - 8

Therefore, the slope of AD = m = 1/2

The equation of AD can be

y - 18 = 1/2×(x - 22)

y = x/2 -11 + 18 = x/2 + 7

y = x/2 + 7

or

y - 18 = 1/2×(x - 2)

y = x/2 -1+ 18 = x/2 + 17

y = x/2 + 17

(c) The equation of CD is given as follows;

CD is perpendicular to BC, therefore, the slope of CD = -1/m = -2

The equation of CD is therefore;

y - (-7) = -2×(x - 2)

y = -2·x + 4 - 7 = -2·x - 3

y = -2·x - 3

(d) The coordinate of the point D is found as follows;

At point D,

At

x/2 + 17=-2·x - 3

2.5·x = -20

x = -8

y = -8/2 + 17 = 13

or

x/2 + 7 =-2·x - 3

2.5·x = -10

x = -4

y = -4/2 + 7 = 5

The possible coordinates of the point D are (-8, 13) or (-4, 5)

(e) The area of the trapezium is found as follows;

The vertices points are;

(2, 18) or (22, 18), (12, -2), (2, -7) and (-8, 13) or (-4, 5)

The formula for the area of a trapezium = (a + b)/2×h

Length of a = \(l_{BC}\) =  5·√5

h = \(l_{CD} = \sqrt{\left ((13)-(-7) \right )^{2}+\left ((-8)-2 \right )^{2}} = \sqrt{\left 20 \right ^{2}+10^{2}}= 10 \cdot \sqrt{5}\)

or

\(l_{CD} = \sqrt{\left ((5)-(-7) \right )^{2}+\left ((-4)-2 \right )^{2}} = \sqrt{\left 12 \right ^{2}+6^{2}}= 6 \cdot \sqrt{5}\)

b = \(l_{AD} = \sqrt{\left (13-18 \right )^{2}+\left ((-8)-2 \right )^{2}} = \sqrt{\left (-5 \right )^{2}+(-10)^{2}}= 5 \cdot \sqrt{5}\)

\(l_{AD} = \sqrt{\left (5-18 \right )^{2}+\left ((-4)-22 \right )^{2}} = \sqrt{\left (-13 \right )^{2}+(-26)^{2}}= 13 \cdot \sqrt{5}\)

Therefore, the possible areas are;

(5×√5 + 5×√5)/2 × 10×√5 = 250 square units

(5×√5 + 13×√5)/2 × 6×√5 = 270 square units

The value of 'a' is 22 or 2, the equation of AD is (y = 0.5x + 17) or (y = 0.5x + 7) and the point D is (-8,13) or (-4,5) and this can be determine by using the point slope form.

Given :

a) To determine the value of 'a' use the relation (AB = 2 BC).

\(\sqrt{(12-a)^2+(-2-18)^2}=2\times \sqrt{(2-12)^2+ (-7+2)^2}\)

\(\sqrt{(12-a)^2+400}=2\times \sqrt{125}\)

Squaring both sides in the above expression.

\((12-a)^2+400=4\times 125\)

\(144+a^2-24a=100\)

\(a^2-24a+44=0\)

\(a^2-22a-2a+44=0\)

\(a(a-22)-2(a-22) = 0\)

a = 2 or 22

b) The equation of BC is given by:

\(\dfrac{y+2}{x-12}=\dfrac{-7+2}{2-12}\)

\(2(y+2)=(x-12)\)

2y + 4 = x - 12

2y - x + 16 = 0

y = 0.5x - 8

Given that AD is parallel to BC so, the slope of 0.5.

First, take a = 2. The equation of line AD is given by:

\(y-18 =0.5(x-2)\)

Now, take a = 22. The equation of line AD is given by:

\(y-18 =0.5(x-22)\)

c) The line CD is perpendicular to line BC. So, the slope of line CD is -2. The equation of the line CD is given by:

y - (-7) = -2(x - 2)

y + 7 = -2x + 4

y + 2x + 3 = 0

d) The point D is given by:

0.5x + 17 = -2x - 3

2.5x = -20

x = -8

y = -4 + 17 = 13

or

0.5x + 7 = -2x - 3

x = -4

Now, y = - 2 + 7 = 5

e) Area of the trapezium is given by:

\(\rm A = L_{CD} \times L_{AD}\)

So, the possible area of the trapezium is:

\(\dfrac{(5\times \sqrt{5} +5\times \sqrt{5} )}{2}\times 10 \times \sqrt{5} = 250\)

\(\dfrac{(5\times \sqrt{5} +13\times \sqrt{5} )}{2}\times 6 \times \sqrt{5} = 270\)

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The matrix A of the rotation about the y-axis through an angle of π/2 clockwise as viewed from the positive y-axis is \(A=\left[\begin{array}{ccc}0 & 0 & -1 \\0 & 1 & 0 \\1 & 0 & 0\end{array}\right]\).

In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.

To find the matrix A of the rotation about the y-axis through an angle of π/2 (90 degrees) clockwise as viewed from the positive y-axis, we can use the following rotation matrix:

\(A=\left[\begin{array}{ccc}\cos (\theta) & 0 & -\sin (\theta) \\0 & 1 & 0 \\\sin (\theta) & 0 & \cos (\theta)\end{array}\right]\)

Substitute θ with π/2, which is the angle of rotation.

\(A=\left[\begin{array}{ccc}\cos \left(\frac{\pi}{2}\right) & 0 & -\sin \left(\frac{\pi}{2}\right) \\0 & 1 & 0 \\\sin \left(\frac{\pi}{2}\right) & 0 & \cos \left(\frac{\pi}{2}\right)\end{array}\right]\)

Compute the trigonometric values for cos( π/2) and sin( π/2).

cos( π/2) = 0
sin( π/2) = 1

Substitute the computed values back into the matrix.

\(A=\left[\begin{array}{ccc}0 & 0 & -1 \\0 & 1 & 0 \\1 & 0 & 0\end{array}\right]\)

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Answer:

(3,-7)

(-8,48)

(-4,28)

(8,-32)

(-3,23)

Step-by-step explanation:

To solve, just put in the x value from the table as the x value in the equation. Then solve to get y.

Hope it helps!

Answer:

18 combinations

Step-by-step explanation:

thank u

Answer:

7 plus threeis equal to same like 10 answer is 10

The probability that x is greater than 77. 5 is 0.039828

Given,

Mean, μ = 80

Standard deviation, σ = 25

We have to find z score corresponding to 77.5

z = (x-μ) / σ

   \(=\frac{77.5-80}{25} \\= 0.1\)

Now we have to find P value from Z table:

P(x<77.5) = 0.46017

P(x>77.5) = 1 - P(x<77.5) = 0.53983

P(77.5<x<80) = 0.5 - P(x<77.5) = 0.039828

The probability of x greater than 77.5 is 0.039828

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Answer:

Its true

Step-by-step explanation:

Hope this helped<3

Solving 2 quadratic equations we get (0,4) and (-1.1) are common points.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations.

\(Ax^2 + bx + c = 0\), where x is an unknown variable and a, b, and c are numerical coefficients, is the quadratic equation's general form. An example of a quadratic equation is \(x^2 + 2x + 1\). Here, a is greater than zero because if it equals zero, the equation will no longer be quadratic and will change to a linear equation, such as \(bx+c=0\).

As a result, we cannot refer to this equation as a quadratic equation.

Another name for the terms a, b, and c is quadratic coefficients.

Solutions of quadratic equation are called Zeroes or Roots.

\(y=3x^2+6x+4\\y=-3x^2+5\\\)

Equating y of both equations

\(3x^2+6x+4=-3x^2+4\\6x^2+6x=0\\x(x+1)=0\\x=0,-1\)

\(y=-3(0)^2+4=4\\y=-3(-1)^2+4=1\)

⇒(0,4) and (-1.1)

Solving 2 quadratic equations we get (0,4) and (-1.1) are common points.

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Answer:

The answer is B)

\(y = - \frac{1}{2}x + 8\)

Answer:

B.  y = -\(\frac{1}{2}\)x + 8

Step-by-step explanation:

The line is perpendicular to line whose equation is:

y = 2x + 4 and;

passes through point (4,6) .

The product slopes of two perpendicular lines is -1.

The slope of the line whose equation is y = 2x + 4 is; 2

Let the slope of the perpendicular line (l2) be \(m_{l2}\)

\(m_{l2} * 2 = -1\)

\(m_{l2}\) = \(-\frac{1}{2}\)

Taking another point xy on line l2;

\(\frac{y - 6}{x - 4} = -\frac{1}{2}\)

Cross multiplying this gives;

y = -\(\frac{1}{2}\)x + 8 which is the equation of the perpendicular line!

Answer:

(x+10)² + (y-8)² = 41

Step-by-step explanation:

First, we find the length of the diameter.

from distance formula, d = SQR ROOT OF [(-14+6)² + (13-3)²]

diameter = SQR ROOT OF [8² + 10²] = √164 = √4√41 = 2√41

*****    so the radius is half that, r =√41

The center of the circle is at the midpoint of the diamater.

x = (1/2)(-6 + -14) = (1/2)(-20) = -10

y = (1/2)(3 + 13) = (1/2)(16) = 8

center (h,k) = (-10,8)

circle equation: (x-h)² + (y-k)² = r²

(x- -10)² + (y - 8)² = (√41)²

(x+10)² + (y-8)² = 41

Sorry it took a while.

Assuming that each of the sophomores, each of the juniors and each of the seniors is equally likely to be selected for the committee, there are b. 1211760 ways can the governance committee be selected, if it must be made up of 2 sophomores, 2 juniors and 3 seniors. The committee can be selected in 1,211,760 ways.

Combination formula:

Cn,x is the number of different combinations of x objects from a set of n elements, given by:

Cnₓ= n!÷ x! (n-x!)

In this problem:

2 sophomores from a set of 18.

2 juniors from a set of 12.

3 seniors from a set of 10.

They are independent, so we can just multiply them, thus:

T= C₁₈,₂ × C₁₂,₂× C₁₀,₃ = 18! ÷2!6! × 12!÷ 2!10! × 10!÷ 3!×7! = 1211760

The committee can be selected in 1,211,760 ways.

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Answer:

5.5 miles = 348480 inches

Step-by-step explanation:

Formula: multiply the value in miles by the conversion factor '63360'.

So, 5.5 miles = 5.5 × 63360 = 348480 inches.

Answer:

348480

Step-by-step explanation:

5.5 times 63360 = 348480

Answer:

For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six (that is, 8∶6, which is equivalent to the ratio 4∶3).

Hello

chinese yuan        euro           dollar

         1                    0,13              1,09

        40                                         ?

? = 40 x 1,09/1 = 43,6

43,6 Chinese yuan =  $43,6

5.6$

we have 1 yaun=0.13 euro

1 euro=1.09 dollars

so first we will convert 40 yuan into euros for that we have l yaun=0.13 euro from this if l yaun=0.13 euro then how much is 40 yuan

l yaun=0.13 euro

40 yuan = ?

crisscross then we get

?=40yuan×0.13euro÷1yuan

?=5.2 euros

1euros =1.09 dollars

5.2euros =?

?=5.2 euros ×1.09$÷1euros

?=5.67$

The activity ratio in the value stream measures the efficiency of the production process by evaluating the ratio of value-added activities to non-value-added activities.

The activity ratio is a performance metric used in value stream mapping, which is a lean management tool for analyzing and improving the flow of materials and information in a production process.

It focuses on distinguishing value-added activities, which directly contribute to meeting customer requirements, from non-value-added activities, which do not add value but consume resources and time.

By calculating the activity ratio, organizations can assess the proportion of time and resources spent on value-added activities versus non-value-added activities.

A higher activity ratio indicates that a greater portion of resources is dedicated to value-added activities, indicating improved efficiency and reduced waste.

Conversely, a lower activity ratio suggests a higher proportion of resources being utilized for non-value-added activities, indicating potential areas for improvement and waste reduction.

The activity ratio serves as a valuable diagnostic tool for organizations to identify process inefficiencies, bottlenecks, and areas for improvement. By analyzing the activity ratio, organizations can streamline their processes, eliminate waste, and optimize resource allocation to enhance overall productivity and customer value.

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Answer and Step-by-step explanation:

The circumference formula for a circle is:

C = \(2\pi r\)

Plug 35 in for r (radius) and solve.

C = \((35) 2\pi\\\\C = 70\pi\\\\C = 219.9\)

So, approximately 219.9 \(in^2\) is the answer.

#teamtrees #PAW (Plant And Water)

An addition inequality to determine how much taller William must be to ride the coaster is, Height of William + x ≥ 42.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Given, Riders must be at least 42 inches tall to ride the coaster, and 'x' be the variable representing how much taller William should be.

Therefore, Height of William + x ≥ 42 is an inequality that may be used to calculate how much taller William has to be in order to ride the coaster.

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Answer:

Step-by-step explanation:

From the triangles given in the figure,

Given:

AC ≅ AD

m∠ABC = m∠ABD = 90°

To prove:

ΔABC ≅ ΔABD

Solution:

          Statements                           Reasons

1). AC ≅ AD                        1). Given

2). AB ≅ AB                       2). Reflexive property

3). ΔABC ≅ ΔABD             3). By HL theorem for congruence of the triangles

The Law of Large Numbers, which states that as the number of trials increases, the observed probability will get closer and closer to the expected probability.

This is an example of the Law of Large Numbers. The Law of Large Numbers states that as the number of trials (in this case, the number of coin flips) increases, the observed probability (in this case, the probability that the next coin flip will be heads) will get closer and closer to the expected probability (in this case, 50%). The formula for this is P(n) = P(1) + (P(n) - P(1))/n, where n is the number of trials and P(1) is the probability of the first trial.

For example, if the first coin flip results in heads (P(1) = 1), the probability of the 5th coin flip being heads is P(5) = 1 + (0.5 - 1) / 5 = 0.2. This means that the probability of the 6th coin flip being heads is 0.2 + (0.5 - 0.2) / 6 = 0.3125, or 1/64.

This is an example of the Law of Large Numbers, which states that as the number of trials increases, the observed probability will get closer and closer to the expected probability.

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Answer:

I)

\(\displaystyle A + B + C = 2x^2 + 4xy + 2\)

II)

\(\displaystyle A - B + C = 6x^2 -8xy\)

III)

\(\displaystyle A + B - C= -4x^2 + 10xy -12\)

Step-by-step explanation:

We are given the three equations:

\(\displaystyle A = x^2 + xy -6,\, B = 6xy - 2x^2 +1 \text{ and } C = 3x^2 + 7 -3xy\)

I)

We want to find:

\(\displaystyle A + B + C\)

Substitute:

\(\displaystyle = (x^2 + xy - 6) + (6xy -2x^2 + 1) + (3x^2 + 7 -3xy)\)

Rewrite:

\(\displaystyle = (x^2 + 3x^2 - 2x^2) + (xy + 6xy - 3xy) + (-6 + 1 + 7)\)

And combine like terms. Hence:

\(\displaystyle A + B + C = 2x^2 + 4xy + 2\)

II)

We want to find:

\(\displaystyle A - B + C\)

Likewise, substitute:

\(\displaystyle = (x^2 + xy - 6) - (6xy - 2x^2 + 1) + (3x^2 + 7 - 3xy)\)

Distribute:

\(\displaystyle = (x^2 + xy - 6) + (-6xy +2x^2 - 1) + (3x^2 + 7 - 3xy)\)

Rewrite:

\(\displaystyle = (x^2 + 2x^2 +3x^2) + (xy - 6xy -3xy) + (-6 -1 + 7 )\)

And combine like terms. Hence:

\(\displaystyle A - B + C = 6x^2 -8xy\)

III)

We want to find:

\(\displaystyle A + B - C\)

Substitute:

\(\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) - (3x^2 + 7 - 3xy)\)

Distribute:

\(\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) + (-3x^2 - 7 + 3xy)\)

Rewrite:

\(\displaystyle = (x^2 - 2x^2 - 3x^2) + (xy +6xy +3xy) + (-6 +1 - 7)\)

And combine like terms. Hence:

\(\displaystyle A + B - C= -4x^2 + 10xy -12\)

He have to pay $3.25.

Let the number of miles traveled by a driver be x

The toll paid by the driver is then represented as y. (in dollar)

Linear equation : an equation in which there is only one variable present. It is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution.

Since there is a linear relation between the two, we can assume the equation can be written as:

y = mx + c

From the given data, we get

0.24 = m(0) + c

c = 0.25

Using the second point:

1 = m(1) + 0.25

m = 1 − 0.25 = 0.75

Hence, the equation is y = 0.75x + 0.25.

If  x = 4, then:

y = 0.75 × 4 + 0.25

y = 5.50

Hence, He have to pay $3.25.

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Answer:

No

Step-by-step explanation:

It is not a prime number because it is divisible by 1, 3, 11 and itself, 33.

If it were just 33 and 1, it would be prime, but it has those extra factors

Answer:

Step-by-step explanation:

You know that the three angles of a triangle add up to 180°. If one angle is 38° and another angle is 67°, then the third angle must be 180°-38°-67° = 75°.

You have a straight line across the bottom, and three angles meeting in the middle of it. Those three angles add up to 180°. One of them is 75°, another is 50°, so the third angle must be 180°-75°-50° = 55°.

That leaves you with one unknown angle. ? = 180°-40°-55° = 85°

Answer:

22.5

Step-by-step explanation:

v flight getting in intend kitchen dandruff gtg bunny

Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}

The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.

To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.

1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.

2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.

Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.

The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.

Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}

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Answer:

I think it is x=1/1024 not sure but try it

Answer:

x = - \(\frac{3}{2}\)

Step-by-step explanation:

Assuming you mean

\(16^{x}\) = \(\frac{1}{64}\)

note that 16 = 4² and 64 = 4³ , so

\((4^{2} )^{x}\) = \(\frac{1}{4^{3} }\)

\(4^{2x}\) = \(4^{-3}\)

Since the bases on both sides are equal, both 4, then equate exponents

2x = - 3 ( divide both sides by 2 )

x = - \(\frac{3}{2}\) ( = - 1.5 )

Data:

Initial balance: c

intrest rate: r

time (months)=m

growth: b

c=$100

r=7%=0.07

To an exponential function you have the next general form:

In this case

y=b(m)

C=c

r=r

t=m