Only need help on #20 & #21 answer step by step if u can

Answer:

1) 15000*(1+0.0189)^(5*12) = 46130.16346

2) 15000*(1+0.01975)^(5*3) = 20113.9316

3) 15000*(1+0.0199)^5 = 16553.0954

4) 15000*(1+0.0325*5) = 17437.5

The first one is the best option.

1a. 10. 24

1b. 125/243

2a. 0. 0048

2b. 32/3125

3a. 0. 64

3b. 0. 0031

4a. 2/5

4b. 48. 735

5a. 2. 36

5b. 1. 39

1a. Given the values

(2/5)^2/(1/2)^6

Multiply both the numerator and denominator by the powers

⇒ \(\frac{\frac{4}{25} }{\frac{1}{64} }\)

To find the common ration, multiply thus;

⇒ \(\frac{4}{25}\) × \(\frac{64}{1}\)

⇒ \(\frac{256}{25}\)

= 10. 24

1b. (5/7)^2 × (5/7)^1

= \(\frac{25}{49}\) × \(\frac{5}{7}\)

= \(\frac{125}{343}\)

= 125/243

2a. 0. 6^1  × 0. 2^3

= 0. 6 × 0. 008

= 0. 0048

2b. (2/5)^3 × (2/5)^2

= \(\frac{8}{125}\) × \(\frac{4}{25}\)

= \(\frac{32}{3125}\)

= 32/ 3125

3a. 1^99 - 0. 6^2

= 1 - 0. 36

= 0. 64

3b. (0. 2 ) ^1 × (1/8)^2

= 0. 2 × 1/64

= 0. 2 × 0. 016

= 0. 0031

4a. (1/2)^2/ (5/8)^1

= \(\frac{\frac{1}{4} }{\frac{5}{8} }\)

Take the inverse of the denominator

= \(\frac{1}{4}\) × \(\frac{8}{5}\)

= 2/5

4b. 7^2 - 0. 5^3

= 49 - 0. 125

= 48. 875

5a. 3^1 - 0. 8 ^2

= 3 - 0. 64

= 2. 36

5b. 0. 7^2 + 0. 9^1

= 0. 49 + 0. 9

= 1. 39

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Answer: 39,76,and300

Step-by-step explanation: Just multiply the first number to the second one.

Answer:

9

Step-by-step explanation:

Given that

Spending done by Miranda each time while go to the store = $7

Spending done by Savannah each time while go to the store = $9

For computing the least possible number we need to take the least common multiple of $7 and $9 i.e to be $63

Now the lease possible number for Miranda has been to the store is

\(= \frac{ Lease\ common\ multiple}{Spending\ done \ by\ miranda}\)

\(= \frac{\$63}{\$7}\)

= 9

Or we can do one thing as we know that 7 is a prime number which is not cut by any other number except one while the 9 factor could be \(= 3\times 3\)

Therefore the 9 times would be considered

600 cactus wren nests the experimenter would expect to be in the entire 200-acre preserve.

To estimate the number of cactus wren nests in the entire 200-acre preserve, we can use the ratio of the area surveyed to the number of nests found.

Let's call the number of nests in the entire 200-acre preserve "N".

The ratio of the area surveyed to the number of nests found is:

2 acres / 6 nests = 200 acres / N nests

We can use this ratio to find the number of nests in the entire 200-acre preserve:

N nests = 200 acres * (6 nests / 2 acres)

N nests = 200 * 3

N nests = 600

So the experimenter would expect to find approximately 600 cactus wren nests in the entire 200-acre preserve, assuming that the habitat is fairly uniform.

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The race is 40 miles long, since there are two repair and two water stations evenly spaced between the start and finish lines, and the third water station is located 8 miles after the first repair station.

The race is 40 miles long because the start and finish lines are 20 miles apart, and there are evenly spaced water and repair stations between them. The figure indicates that the first repair station is located at the start line, and the second repair station is 20 miles after the start line. The first water station is located 8 miles after the first repair station, and the second water station is located 16 miles after the second repair station. Therefore, the third water station is located 8 miles after the first repair station. Since there are two repair and two water stations evenly spaced between the start and finish lines, the race is 40 miles long.

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Answer:

68a+ab-1

Step-by-step explanation:

Have a good day!

(i) The set of boundary points of S is {1}.

(ii) There are no interior points in S.

(iii) S is not an open set because it does not contain any interior points.

(iv) S is a closed set because it contains all of its boundary points.

Let's analyze the set S step by step:

(i) Boundary points of S:

A boundary point of a set is a point that is neither an interior point nor an exterior point. In this case, since S consists of the elements x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n approaches infinity, x approaches 1. So, the set of boundary points of S is {1}.

(ii) Interior points of S:

An interior point of a set is a point that has an open neighborhood contained entirely within the set.

In this case, since S is defined as x = 1 - 1/n for n = 1, 2, 3, ..., we can see that as n increases, x approaches 1.

However, for any n, we can always find another n' greater than n such that 1 - 1/n' is closer to 1.

Therefore, there are no interior points in S.

(iii) S as an open set:

An open set is a set that contains all of its interior points.

Since S has no interior points (as discussed in part ii), it cannot contain all of its interior points.

Therefore, S is not an open set.

(iv) S as a closed set:

A closed set is a set that contains all of its boundary points.

In this case, the set of boundary points of S is {1}, and this set is contained within S itself.

Therefore, S contains all of its boundary points and is considered a closed set.

In summary, the set S has a single boundary point {1}, no interior points, is not an open set, and is a closed set.

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Answer:

-1/14

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(2 - 1) / (-17 + 3)

1 / -14

= -1/14

So, the slope is -1/14

Answer:

10

Step-by-step explanation:

To find the median in a set of data, organize the data from least to greatest.

Here, our data is the homework scores, those being:

10, 7, 8, 12, 9, 11, 13

Let's organize them in ascending order, like so:

7, 8, 9, 10, 11, 12, 13

The next step in finding the median is figuring out which number is in the middle. Since the amount of data we have is an odd number (7), there will be only one number in the middle.

We can find that the number in the middle is 10.

Thus, the median of the scores is 10.

Answer:

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

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = \(\frac{0-3}{2-0}\) = \(\frac{-3}{2}\) = - \(\frac{3}{2}\)

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = - \(\frac{3}{2}\) x + 3 ← equation of line

Answer:

4/6

Step-by-step explanation:

change 1/2 to 3/6 because of the common denominator and add 1/6 + 3/6

Answer:

x-¹⁰ is the correct answer dude

Answer:

= x^ 2 + x^ -12

= x^ 2 + (-12)

= x ^ -10

The given graph consists of two parabolas. One is an upward opening parabola that decreases from (-3, 4) to a minimum at (-1, 0) and then increases to (1, 4). The equation of such a parabola is f(x) = -x^2 + 2x + 1. The other is a downward opening parabola that increases from (-2, -3) to a maximum at (0, 1) and then decreases through (2, -3). The equation of such a parabola is g(x) = x^2 + 1.

Therefore, the set of systems of equations that represents the solution to the graph is:

f(x) = -x^2 + 2x + 1

g(x) = x^2 + 1

The pseudo-order rate constant, or apparent rate constant, in equation (3) refers to a rate constant that appears in a pseudo-order rate law. It is called "pseudo" because it does not represent the true reaction order but is an effective rate constant obtained under specific conditions.

In the rate law for the reaction cC + dD → products, the rate is expressed as rate = k(C)^α(D)^β, where α and β are the unknown reaction orders.

a) The rate law for this reaction will be a pseudo β-order law in (D) when the concentration of D remains much larger than the concentration of C throughout the reaction. In other words, if the concentration of D is in excess compared to C, then the rate becomes solely dependent on the concentration of C, resulting in a pseudo β-order rate law.

b) To determine the value of β using the method of isolation, a series of experiments can be conducted.

If β is equal to 1, the reaction rate would be directly proportional to the concentration of D. By varying the concentration of D while keeping the concentration of C constant, multiple experiments can be performed, and the corresponding rates can be measured. Plotting the rate versus the concentration of D on a graph would yield a straight line with a slope of β, indicating that β is equal to 1.

If β is equal to 2, the reaction rate would be proportional to the square of the concentration of D. Similar to the previous case, different experiments can be carried out by changing the concentration of D while keeping C constant. The obtained rates can be plotted against the square of the concentration of D. If the resulting graph shows a straight line with a slope of β, it indicates that β is equal to 2.

Analyzing the experimental data and observing the relationship between the rate and the concentration of D in each case allows the determination of the value of β in the rate law.

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Answer:

Area = base x height

Step-by-step explanation:

8X11=88sq

Answer:

88 units^2

Step-by-step explanation:

The area of a parallelogram can be found using he following formula:

a=b*h

where b is the base and h is the height.

We know that 11 units is the base and 8 units is the height (forms a right angle with one of the bases).

b= 11 units

h= 8 units

Substitute these values into the formula.

a= 11 units * 8 units

Multiply

a= 88 units^2

The area of the parallelogram is 88 square units.

The latest time Dan should leave his house to get to work on time will be 10: 05 am.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Dan goes from Birmingham to Coventry by Bu. Be goes for 5 moments to stroll from greetings houe to the bu top in Birmingham. He goes for 20 moments to stroll from the Bu top in Coventry to work. Dan has to get to work by 10.30 am.

The total time is given as,

⇒ 5 + 20

⇒ 25 minutes

The latest time Dan should leave his house to get to work on time will be given as,

  10: 30 am

- 00: 25      

  10: 05 am

The latest time Dan should leave his house to get to work on time will be 10: 05 am.

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1/5 is .2 and 65% is .65

from least to greatest this would be -2 1/3 , -.4 , 1/5, 65%

Answer:

-2 1/3, -0.4, 1/5 65%

Step-by-step explanation:

I think that's correct

A recursive function is a function f(N) that is defined in terms of the same function operating on a value < N.

In a recursive function, the function calls itself repeatedly until it reaches a base case, which is a condition that stops the recursion. The function then returns the result of the base case to the previous call, which uses it to compute the final result.

Recursive functions are commonly used in programming for solving problems that can be broken down into smaller subproblems of the same type. They are especially useful for tasks such as traversing trees or searching through graphs.

The process of recursion involves breaking down a problem into smaller, similar subproblems that can be solved using the same approach. This leads to a more elegant and concise solution, as compared to iterative approaches. However, recursive functions can also be less efficient than their iterative counterparts and may have issues with a stack overflow if the recursion depth becomes too large.

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Answer:

discrete. discrete can be used to describe graphs that involve variables such as customers and tickets.

Answer:

Step-by-step explanation:

The first step is to find the slope of the tangent line. To do that, we need to find the derivative of f(x):

f(x) = sin(x) + 2cos(x)

f'(x) = cos(x) - 2sin(x)

Now we can find the slope of the tangent line at x=0 by plugging in x=0 into f'(x):

f'(0) = cos(0) - 2sin(0) = 1

Therefore, the slope of the tangent line at x=0 is 1.

Next, we need to find the y-coordinate of the point on the graph where x=0. To do that, we simply plug in x=0 into f(x):

f(0) = sin(0) + 2cos(0) = 2

Therefore, the point on the graph where x=0 is (0, 2).

Now we can use the point-slope form of the equation of a line to find the equation of the tangent line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point on the line. Plugging in m=1 and (x1, y1) = (0, 2), we get:

y - 2 = 1(x - 0)

Simplifying, we get:

y = x + 2

Therefore, the equation of the tangent line is y = x + 2.

Answer:

The equation of the tangent line at x = 0 can be found by differentiating the function f(x) and using the point-slope form of a line.

The derivative of f(x) is f'(x) = cos(x) - 2sin(x). Substituting x = 0 into f'(x) gives f'(0) = cos(0) - 2sin(0) = 1 - 0 = 1.

Therefore, the equation of the tangent line is y = 1x + b, or y = x + b.

To find the value of b, we can plug in x = 0 and y = f(0) = sin(0) + 2cos(0) = 2 into the equation. Solving for b, we get 2 = 0 + b, so b = 2.

Therefore, the slope-intercept equation of the line tangent to the graph of y = f(x) at the point (0,2) is y = x + 2.

According to the question The maximum area that Farmer Garrett can enclose in the corral is:

\(\[A = L \cdot W = 600 \cdot 300 = 180,000 \text{ square feet}.\]\)

Let's assume the length of each half of the corral is \(\(L\)\) feet. Since the divider runs parallel to the shorter sides, it does not contribute to the perimeter.

The perimeter of each half of the corral is equal to the sum of the length and two times the width. So, the perimeter of each half is:

\(\[P = L + 2W\]\)

Since Farmer Garrett has a total of 2400 ft. of fencing, the total perimeter of the corral is \(\(2P: 2P = 2400\)\). Dividing both sides by 2, we get:

\(\[P = 1200\]\)

Now, we can express the width \(\(W\)\) in terms of the length \(\(L\)\):

\(\[W = \frac{{P - L}}{2}\]\)

Substituting the value of \(\(P\)\), we have:

\(\[W = \frac{{1200 - L}}{2}\]\)

The area \(\(A\)\) of each half of the corral is given by:

\(\[A = L \cdot W\]\)

Substituting the value of \(\(W\)\), we get:

\(\[A = L \cdot \left(\frac{{1200 - L}}{2}\right)\]\)

To find the maximum area, we need to find the value of \(\(L\)\) that maximizes the area \(\(A\)\). We can do this by taking the derivative of \(\(A\)\) with respect to \(\(L\)\), setting it equal to zero, and solving for \(\(L\).\)

\(\(\frac{{dA}}{{dL}} = \frac{{1200 - 2L}}{2}\)\)

Setting  \(\(\frac{{dA}}{{dL}} = 0\)\), we have:

\(\[1200 - 2L = 0\]\)

\(\[2L = 1200\]\)

\(\[L = 600\]\)

Now we can calculate the corresponding width \(\(W\):\)\(\[W = \frac{{1200 - L}}{2} = \frac{{1200 - 600}}{2} = \frac{{600}}{2} = 300\]\)

Therefore, the maximum area that Farmer Garrett can enclose in the corral is \(\[A = L \cdot W = 600 \cdot 300 = 180,000 \text{ square feet}.\]\)

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Please, send me a picture of your question

A symbol that creates a true sentence for x = 6 is '>' i.e.,

12 ÷ x + 2x > 1 2 ÷ (x + 2x)

In this question, we have been given a statement 12 ÷ x + 2x ____ 12 ÷ (x + 2x)

We need to select a correct symbol that would create a true sentence when x = 6.

Consider an expression 12 ÷ x + 2x for x = 6.

= 12 ÷ 6 + 2(6)

= 2 + 12

= 14                              ...................(1)

Consider an expression 12 ÷ (x + 2x) for x = 6

= 12 ÷ (6 + 2(6))

= 12 ÷ (6 + 12)

= 12 ÷ 18

= 0.67                               ...................(2)

From (1) and (2),

14 > 0.67

Therefore, a symbol that creates a true sentence for x = 6 is '>'

i.e., 12 ÷ x + 2x > 1 2 ÷ (x + 2x)

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Answer:

Try to do it yourself, since you have a test tomorrow

Good luck

Step-by-step explanation:

5: 4605

13 (8+5):

\( \frac{4605}{5} \times 13 = \)

=Your answer

The triangles Δ MNO and ΔXYZ are congruent to each other by AAS postulate as two corresponding angles and a corresponding side are equal to each other.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Given that YO = NZ.

Consider YO = NZ

Now Add OZ on both sides

YO + OZ = NZ + OZ

YZ = NO

Consider triangles Δ MNO and ΔXYZ.

M ≅ X

N ≅ Y

YO ≅ NZ

Δ MNO ≅ ΔXYZ by AAS postulate.

Therefore, the triangles Δ MNO and ΔXYZ are congruent to each other by AAS postulate as two corresponding angles and a corresponding side are equal to each other.

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Answer:

12

Step-by-step explanation:

The total spending figures indicate that Joe's demand for pizza is elastic as his total spending decreases when the price decreases, suggesting he is responsive to price changes.

a. The demand curve for Joe's pizza can be plotted by using the equation Q = 30 - 2P, where Q represents the quantity of pizza consumed and P represents the price per slice.

On the graph, the vertical axis represents the price (P), and the horizontal axis represents the quantity (Q). The vertical intercept occurs when Q is 0, which corresponds to P = 15. The horizontal intercept occurs when P is 0, which corresponds to Q = 30.

b. The total spending on pizza at P = 5 is $100, and the total spending at P = 4 is $88. This information indicates that Joe's total spending decreases as the price of pizza decreases.

Based on this, we can infer that Joe's elasticity of demand for pizza between P = 5 and P = 4 is elastic. When the price decreases from $5 to $4, the total spending decreases, indicating that the demand is responsive to price changes.

c. When P = 9, we can substitute this value into the demand function to calculate the corresponding quantity: Q = 30 - 2(9) = 30 - 18 = 12. To calculate Joe's consumer surplus, we need to find the area of the triangle formed by the demand curve and the price line.

The consumer surplus is given by (1/2) ˣ  (9 - P) ˣ  Q = (1/2) ˣ (9 - 9) ˣ  12 = 0.d. If the price of pizza rises to $15 per slice, we can again substitute this value into the demand function to find the corresponding quantity: Q = 30 - 2(15) = 30 - 30 = 0.

Joe's consumer surplus at this new price would be zero since he is not consuming any pizza at that price, resulting in no surplus.

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