Jennifer deposits money into a bank account. The amount of money in her account is measured in dollars, and can be modelled by the function A(m)= 1750(1.025)^m, where m is the number of months since the initial deposit.

What is the percent change in Jennifer's account balance each month? Is it increasing or decreasing? Justify answer.

We are given the following equation :

\({:\implies \quad \sf P=2L+2w}\)

And we need to solve for w, so let's start :

\({:\implies \quad \sf P=2L+2w}\)

Now, transpose 2L to LHS ;

\({:\implies \quad \sf P-2L=2w}\)

\({:\implies \quad \sf 2w=P-2L}\)

\({:\implies \quad \boxed{\bf{w=\dfrac{(P-2L)}{2}}}}\)

Hence, Option a) is correct

Answer:

y + 2 = 4(x + 1)

8x - 2y = -4

Step-by-step explanation:

When two lines coincides, their slope (m) and y-intercept (b) are of the same value, or multiples of each other.

The line, y = 4x + 2 is given in slope-intercept form, y = mx + b. Where,

slope (m) = 4

y-intercept (b) = 2.

To select which line coincides with y = 4x + 2, rewrite each given line equation in the slope-intercept form and compare teach slope and y-intercept.

Option 1: y + 2 = 4(x + 1)

y + 2 = 4x + 4

y = 4x + 4 - 2

y = 4x + 2

The slope is 4, and the y-intercept is 2, therefore it coincides with the line, y = 4x + 2.

Option 2: 4y = x + 8

4y/4 = x/4 + 8/4

y = ¼x + 2

The slope is ¼, y-intercept is 2. This line does not coincides with the line, y = 4x + 2.

Option 3: y = -4x + 2

Slope = -4 and y-intercept = 2, therefore this line doesn't coincides with the line, y = 4x + 2.

Option 4: 8x - 2y = -4

-2y = -8x - 4

-2y/-2 = -8x/-2 - 4/-2

y = 4x - (-2)

y = 4x + 2

The slope = 4, and the y-intercept = 2, therefore, it coincides with the line, y = 4x + 2.

Answer:

  see attached for a graph

Step-by-step explanation:

When g(x) is transformed to

  f(x) = f(x -h) +k

The graph of g(x) is translated h units right and k units up.

__

Here, the function g(x) = x^2 is transformed to ...

  f(x) = g(x -3) +12 = (x -3)^2 +12

Then the graph of f(x) is the graph of g(x)=x^2 translated 3 units right and 12 units up.

Step-by-step explanation:

-8b =-14

8b= 14

b=14÷8

b=7÷4 or 1.74

hope it helps

Answer:

b= 7/4

Step-by-step explanation:

− 8 = − 1 4 -8b=-14 −8b=−14 − 8 − 8 = − 1 4 − 8 \frac{-8b}{{\color{#c92786 {-8}}}=\frac{-14}{{\color{#c92786}{-8}}} −8−8b​=−8−14​ 2

=7/4 b=\frac{7}{4} b=47​

Solution = 7/4

Solution

For this case we can do the following diagram

Answer:

Marcos reads 3 books

Step-by-step explanation:

The question is asking how many books he read in 1 week, and it said "Marcos reads 3, books in 1 weeks. At this rate, how many books does Marcos read in 1 week?", so he read 3 books.

Answer:

22.33

Step-by-step explanation:

x%(150)=33.5

x/100 x 150=33.5

x/2 x 3=33.5

x=2/3 x 33.5

x=67/3

x=22.33

Answer:

Click at the above pic and the ans will appear.

Hope it helps :)

Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

Answer:

1/3

Step-by-step explanation:

The minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

We are given that a water pumping station is to be built on a river at point P in order to deliver water to points A and B. The design requires that LAPD = /BPC so that the total length of piping that will be needed is a minimum. We need to find this minimum length of pipe.

The given figure is shown below: \(AB = 10 \ miles\)\(BC = 6 \ miles\)\(CP = 12 \ miles\). We are given that \(LAPD = LCPB\).

Now, we need to find the minimum length of pipe required for delivering the water to points A and B.The total length of the pipe, \(L_{total} = LA + AB + BP\)Since \(LAPD = LCPB\), we can say that\(AP^2 + PD^2 = BP^2 + PC^2\).

From the triangle ACP, we can say that\(AC^2 = AP^2 + PC^2\). So, we can substitute AP^2 + PC^2 with AC^2 to get\(AP^2 + PD^2 = BP^2 + AC^2\)Now, we can substitute AP = AC - PC and BP = BC + PC in the above equation to get\((AC - PC)^2 + PD^2 = (BC + PC)^2 + AC^2\).

After solving this equation, we get\(AC = \frac {37}{8}\) and \(PC = \frac {27}{8}\)Now, we can calculate the length of pipe required as follows: \(L_{total} = LA + AB + BP = 10 + 6 + \frac {27}{8} = \boxed{20.375 \ miles}\). Therefore, the minimum length of pipe required to deliver water to points A and B is approximately 20.375 miles.

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Answer:

linear, it can be solved for y

Answer:

A. Linear

Step-by-step explanation:

It's a straight line when you graph it etc. etc.

Answer:

The solution is Option C.

The annual percentage rate of Penny is 22.4 %

Step-by-step explanation:

Answer:

Alternate Interior angles have the same measure

Step-by-step explanation:

Proportional relationships are used to represent direct variation

The number of calories in 14 brownies is 233, and the proportional relationship is \(\mathbf{c = \frac{50b}{3}}\)

Let b represents brownies and c represents calories.

So, the relationship is given as:

b : c = 3 : 50

Express as fractions

\(\mathbf{\frac bc = \frac{3}{50}}\)

Multiply both sides by c

\(\mathbf{b = \frac{3}{50}c}\)

When the number of brownies is 14, we have:

\(\mathbf{14 = \frac{3}{50}c}\)

Multiply both sides by 50/3

\(\mathbf{14 \times \frac{50}{3} = c}\)

\(\mathbf{233 = c}\)

Rewrite as:

\(\mathbf{c = 233 }\)

Make c the subject in \(\mathbf{b = \frac{3}{50}c}\)

\(\mathbf{c = \frac{50b}{3}}\)

Hence, the number of calories in 14 brownies is 233, and the proportional relationship is \(\mathbf{c = \frac{50b}{3}}\)

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Log22/Log9 express log_9 22 in terms of common logarithms

Common logarithms, is commonly describd as base-10 logarithms.

It is a type of logarithm that involve taking the logarithm of a number with respect to the base of 10.

This means that common logarithms show how many powers of ten must be increased to get a particular number. The usual logarithm of 100, for example, is 2, because 10 raised to the power of 2 equals 100.

The answer provided is based on the full question below;

-------------express log_9 22 in terms of common logarithms

a. Log 22/9

b. Log 198

c. Log22/Log9

d. Log9/Log22

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The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)

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

y = –2 cos (x + π/2) + 1.

Calculating the maximum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the maximum points to be (π/2, 3)

Calculating the minimum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the minimum points to be

(3π/2, -1) (-π/2, -1)

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The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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See attachment for the graph of the function y = 5 sin(4x)

The trigonometry function is given as:

y = 5 sin(4x)

To plot the graph, we use the following domain:

x > 0

This represents the minimum value of x

Also, we use

x < π/2

This represents the maximum value of x

When the domain are combined, we have:

0 < x < π/2

This means that the domain that gives a complete cycle is 0 < x < π/2

See attachment for the graph of the function

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Answer: 66

Step-by-step explanation: 9+9=18 18+9+9= 36+30=66

Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. : Two pairs of corresponding angles and the corresponding sides between them are equal.

Answer:

Step-by-step explanation:

To find the number that Grace thought:

We'll represent the unknown number as "x."

"Added 7": This can be represented as (x + 7).

"Multiplied by 3": This becomes 3 * (x + 7).

"Took away 5": This is represented as 3 * (x + 7) - 5.

"Divided by 4": This gives (3 * (x + 7) - 5) / 4.

"To give an answer of 7": The equation is (3 * (x + 7) - 5) / 4 = 7.

Now we can solve for x:

(3 * (x + 7) - 5) / 4 = 7

Multiply both sides by 4 to eliminate the denominator:

3 * (x + 7) - 5 = 28

Simplify the left side:

3x + 21 - 5 = 28

Combine like terms:

3x + 16 = 28

Subtract 16 from both sides:

3x = 12

Divide both sides by 3:

x = 4

Therefore, the number that Grace thought of is 4.

Answer:

x = -1 or x = 3

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5.36910

Step-by-step explanation

whatever you see like 95 can round up to 100.

5.369095... you just round up 95 to 100.

5 decimal is 5.36910

The number 5.36909546581 which is needed to be rounded off up to 5 decimal places is 5.36910.

The decimal numeral system is the most widely used system for representing both integer and non-integer values. It is the Hindu-Arabic numeral system's expansion to non-integer numbers. The method of representing numbers in the decimal system is commonly referred to as decimal.

Given the number 5.36909546581 which is needed to be rounded off up to 5 decimal places. Therefore, if we look at the sixth place after the decimal it is equal to 5.

Thus, fifth place is needed to be rounded off to the next number.

Hence, the number 5.36909546581 which is needed to be rounded off up to 5 decimal places is 5.36910.

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So easy it is a telephone

Answer:

trees

Step-by-step explanation:

I accidentally commented this instead of answering lol

Answer:

HEJ

DEH

JEK

KEF

Answer:

HEJ

DEH

JEK

KEF

i think

The dimensions of the rectangle as described in the task is; 12.4 by 5.7 yd.

Since the area, length and breadth of the rectangle are as described, it follows that;

66 = x(2x+1)

66 = 2x² + 1

x² = 32.5

x = 5.7

Therefore, the dimensions are 5.7 and 12.4.

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