Laura kept a list of her expenses and income for one month. If she started the month with no money, how much money did she have left at the end of the month?

Answer:

I believe it could be 25

Step-by-step explanation:

Eight angle = 90

1. 38 + 27 = 65

2. 90 - 65 = 25

I haven't done angles for a long time, but I hope my memories serves well. Sorry if it may be wrong, but this is what I remember from doing angles in Year 7

When a person places $48,800 in an investment account at an annual rate of 3.1% compounded continuously, using the formula, V = \(Pe^rt\), the amount of money (future value) after 13 years is $73,019.78.

Compounding refers to the process or interest system that computes periodic or continuous interest on both the principal and accumulated interest.

We can solve for the future value of an investment under continuous compounding using an online finance calculator as follows:

Using the formula V = \(Pe^rt\)

Principal (P) = $48,800.00

Annual Rate (R) = 3.1%

Compound (n) = Compounding Continuously

Time (t in years) = 13 years

Result:

V = $73,019.78

V = P + I where

P (principal) = $48,800.00

I (interest) = $24,219.78

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.1/100

r = 0.031 rate per year,

Solving the equation for V:

V = \(Pe^rt\)

V = \(48,800.00(2.71828)^(0.031)(13)\)

V = $73,019.78

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Answer:

20:9

Step-by-step explanation:

Here we will simplify the ratio to 40:18 for you and show you how we did it.

To simplify the ratio 40:18, we find the greatest common divisor of 40 and 18, and then we divide 40 and 18 by the greatest common divisor.

The greatest common divisor that you can use to simplify 40:18 is 2. This means the answer to ratio 40:18 simplified is:

20:9

Answer:

B

Step-by-step explanation:

Hope this helps

Answer:

It would be B

Step-by-step explanation:

Hope this helps

An exponential decay function, and use it to approximate the population in 2027 is P(t) = 4001e^-(0.0037)(28) = P(t) = 4001e^-0.1036

The standard exponential function is expressed as:

P(t) = P0e^-rt

Substitute

P(t) = 4001e^-(0.0037)t

If t = 28 (by 2027)

An exponential decay function, and use it to approximate the population in 2027 is P(t) = 4001e^-(0.0037)(28) = P(t) = 4001e^-0.1036

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An equilateral triangle can be constructed from two equal sized circles with the circumference of one circle passing through the center of the other

Please find attached an outline of the construction of an equilateral triangle

The construction is correct based on the properties of an equilateral triangle

Question: The diagram in the question is not displayed;  Please find the steps to construct the attached equilateral triangle as follows;

The moves to construct an equilateral triangle, starting from two marked points, A and B are as follows;

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Answer:

5×3=15

15+5=20

3x^2-2x^2=x^2

6x^2×5=30x^2

20+x^2+30x^2=20+31x^2

Answer:

-33

Step-by-step explanation:

2(-2)^3 -7(-2)^2 -5(-2) +1

-16 -28 +11

= -33

Answer:

that box in the corner of the angle represents 90°

90° is also known as a right angle

Subtract 90° from 37°.

You should come up with 53°.

Using the given information to complete this compounding interest question is as follows:

1. Period Used = 28 quarters

2. Rate Used = 2%

3. PV factor used = 1.14987

4. PV of the amount desired at end of the period = $15,306.04.

Compound interest adds the accumulated interest to the principal amount after each period in order to compute the period's interest.

Compound interest is the opposite of simple interest, which does not add the accumulated interest to the principal before computing another period's interest.

N (# of periods) = 28 quarters (7 x 4)

I/Y (Interest per year) = 2%

PMT (Periodic Payment) = $0

FV (Future Value) = $17,600

Results:

PV = $15,306.04

Total Interest = $2,293.96

PV factor = 1.14987

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Answer: 11

Step-by-step explanation:

F(1) = 3(1) + 8

F(1) = 3 + 8

F(1) = 11

You just substitute the x in for 1 and solve from there.

If a point lies on a line then every point that lies on the line also lies on it besides that point. In other words if line is a subset of R2 plane every point not in R2 but in line is by definition every point on the line or simply a line.

-

I am certainly missing information in this question but you asked for it (the above euclidean definition), LEARN how to pose a question or do not pose it at all.

Hope this helps.

Answer:

The answer is (6, 9)

Step-by-step explanation:

you see the picture do I really have to say something

Answer:

Well 14 2/3 is 14.66 so it would be B but yea it would fit.

The expression of the mathematical statement given as the difference between 12 and ten times a number is 28 is 12 - 10x = 28

The mathematical statement is given as

The difference between 12 and ten times a number is 28

The difference of numbers means subtraction

So, we have

The difference between 12 and ten times a number is 28 => 12 - ten times a number is 28

Let the number be x

So, we have

The difference between 12 and ten times a number is 28 => 12 - ten times x is 28

The product of numbers means multiplication

So, we have

The difference between 12 and ten times a number is 28 => 12 - 10 * x is 28

Evaluate the product

The difference between 12 and ten times a number is 28 => 12 - 10x is 28

Rewrite as

The difference between 12 and ten times a number is 28 => 12 - 10x = 28

Hence, the expression of the mathematical statement given as the difference between 12 and ten times a number is 28 is 12 - 10x = 28

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Answer:

you should pick green colour

The angle measure of x is 115°.

A parallelogram is a four-sided shape with two sets of parallel sides, which means that opposite sides are both parallel and have equal length. Parallelograms also have opposite angles with the same measure, and their diagonals intersect at the midpoint and bisect each other. This results in the parallelogram being divided into two triangles that are congruent. Examples of parallelograms include rectangles, squares, and rhombuses, and they are commonly used in both geometry and everyday life, particularly in the design of buildings and other structures.

We can call this figure ACDEF. Let us join CB.

Now we can see that BDEF is a parallelogram. Opposite angles of a parallelogram are equal, hence ∠DBF = ∠DEF = x°

And also consider the triangle ABC,

∠BAC = 50°

∠ABC = 180 - ∠DBF = 180° - x° (linear pair)

∠ACB = 180 - ∠ACD = 180° - x° (linear pair)

We know that all the angles of a triangle adds up to 180°.

Using this we can find x°:

∠BAC + ∠ABC + ∠ACB = 180°

50° + 180° - x° + 180° - x° = 180°

-2x° + 410 = 180°

-2x° = 180° - 410° = -230°

x° = -230/ -2

x ° = 115°

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The meaning of the statement is if you take n distinct numbers, x₁, ..., xₙ, and permute them in all possible ways, the number of different values that the function f(x₁, ..., xₙ) can take on will be a divisor of n!.

This assertion is a specific instance of a broader concept known as the Principle of Inclusion-Exclusion in the field of combinatorics. The Principle of Inclusion-Exclusion asserts that when dealing with a set comprising n elements and aiming to determine the number of possible subsets that can be selected, one can arrive at this figure by summing up the number of options for choosing 0, 1, 2, and up to n elements from the set.

Regarding the aforementioned assertion, the collection of components comprises every potential arrangement of the numerical values x₁, ..., xₙ. There is only one possible way to choose 0 elements, there are n options for choosing 1 element, selecting 2 elements can be done in n(n-1)/2 ways, and the pattern continues.

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The coupon rate of the bonds by King of Diamonds Industries would be 7 %.

The formula for the bond price shows the coupon payment and so can be used to find the coupon rate:

= (Coupon payment  x ( 1 - ( 1 + r ) ^ ( - number of years till maturity ) ) ) / r + Face value /  (1  + rate )^ number of years

1,482.01 = (C x (1 - (1 + 0.07 )^ (- 14) ) ) / 0.07 + F / (1 + 0.07 ) ^ 14

103.7407 - 0.07 x (F / (1 + 0.07) ^14 ) = C x  (1 - ( 1 + 0.07) ^ ( - 14) )

Using a calculator, C is $ 70.

This means that the coupon rate is:

= 70 / 1, 000

= 7 %

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Answer:

$7/lb

Step-by-step explanation:

$70 / 10 lb = $7/lb

Answer:

$7 per pound of letuce

Step-by-step explanation:

We know

10 pounds = $70

1 pounds = ?

We cross multiply and get:

$7 per pound of letuce

So, the answer is $7 per pound of letuce

Answer:

Opction b)

The maximum area that can be enclosed by the fencing

Step-by-step explanation:

I took the test

The solution is, A(w), represents the maximum area that can be enclosed by the fencing.

Here, we have,

If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...

 A(w) = w(150 -w) = -(w² -150w)

 A(w) = -(w² -150w +75²) +75²

 A(w) = -(w -75)² +5625

In this vertex form, the vertex is (75, 5625).

The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.

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Answer:

B: 1.53

Step-by-step explanation:

The mean, or average, is 4, and n, the amount of numbers, is 7. To find the standard deviation, first, all of the numbers are subtracted by the mean. This makes (-3, 0, 0, 0, 0, 1, 2). Square all of them to get (9, 0, 0, 0, 0, 1, 4). Next add the squared numbers together (9 + 0 + 0 + 0 + 0 + 1 + 4 = 14). Next, the variance needs to be found. That is found by this formula: (Sum of previous number set ÷ (n - 1)). So in this case, (14 ÷ (n - 1)). Since n is 7, it is (14 ÷ (7 - 1)), or (14 ÷ 6). The answer to that is 2.3 repeating. After the variance is found, it is square rooted to get the standard deviation. √2.3 is about 1.53. Hope this helps! Have a great day! :)

It will take the two ships at ports M and N 162miles apart 2.33 hours to meet.

a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

let the distance both ships meet be x and he time taken to get to x by first ship be t.

second ship: time taken to get to (160 - x) is (t - 0.75) 45 minutes is same as 0.75 hour

so speed of first sheep

45 = x/t

x = 45t--------------1

speed of second ship

36 = 162-x / t - 0.75

cross multiply

36(t - 0.75) = 162 -x

x = 160 - 36(t - 0.75) -------------------2

equate equation 1 and 2

45t = 162 - 36(t - 0.75)

multiply out

45t = 162 -36t + 27

45t+36t = 162+27

81t = 189

t = 189/81

t = 2.33 hours

In conclusion the time taken for both ships to meet is 2.33 hours

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Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

I think it's D

Step-by-step explanation:

The number never goes over 0 so there is no need to put anything above 0

Answer:

the answer is D. The second arrow he drew should have started at -15 instead of 0.

Step-by-step explanation:

was on a test I took and got 100

Answer: 29.8ft

Step-by-step explanation:

suppose that the angles are measured from an x-axis.

we know that:

Lila and Avery are 20 feet apart.

Mark and Avery are 30 feet apart.

If we locate the position of Lila in the (0, 0)

and we use the relation:

x = r*cos(θ) and y = r*cos(θ)

Then the position of Avery is:

P = (20ft*cos(90°), 20ft*sin(90°)) = (0, 20ft)

and the position of mark will be:

P = (0 + 30ft*cos(200°), 20ft + 30ft*sin(300)) = (-28.2ft, 9.7ft)

And because Lila is at the origin, the distance between Mark and Lila is equal to the module of that vector,

Distance = √((28.2ft)^2 + (9.7ft)^2) = 29.8ft

To convert the vertex form back to standard form, simply square the binomial, distribute a, and add the constants.

Example :

\(y=3(x+1)^2+5\)

\(y=3(x^2+2x+1)+5\)

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

\(y=3x^2+6x+8\) , This is the original standard form of the equation.

The vertex form of a quadratic equation is written as \(y = a(x - h)^2 + k\) , where (h, k) represents the coordinates of the vertex.

To convert from vertex form to standard form, expand the equation using the distributive property:

\(y = a(x - h)^2 + k\)

\(y = a(x^2 - 2hx + h^2) + k\)

\(y = ax^2 - 2ahx + ah^2 + k\)

Next, combine like terms by grouping the x^2 and x terms:

\(y = ax^2 - (2ahx) + (ah^2 + k)\)

\(y = ax^2 - (2ahx) + (ah^2 + k)\)

Finally, rearrange the terms in standard form:

\(y = ax^2 - (2ahx) + (ah^2 + k)\)

\(y = ax^2 - 2ahx + ah^2 + k\)

The resulting equation is in standard form, which is written as y = ax^2 + bx + c, where a, b, and c are constants. In this case, a = a, b = -2ah, and c = ah^2 + k.

By converting from vertex form to standard form, we express the quadratic equation in a different but equivalent format, allowing for different types of analysis and calculations.

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The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by the cost decreases for each additional shirt.

The cost of n t-shirts is given by the equation:

c = 15 + 9(n + 1)

c is the cost in dollars and n is the number of t-shirts.

The cost for 2 t-shirts, we substitute n = 1 into the equation:

c = 15 + 9(1 + 1) = 33

So it will cost \($33\) for 2 t-shirts.

The cost for 5 t-shirts, we substitute n = 4 into the equation:

c = 15 + 9(4 + 1) = 51

So it will cost \($51\) for 5 t-shirts.

The cost of additional shirts after the first one is \($9\) per shirt.

The equation for the cost of n t-shirts is c = 15 + 9(n + 1), the term 9(n + 1) represents the cost of additional shirts beyond the first shirt, and the coefficient 9 represents the amount by which the cost decreases for each additional shirt.

The following formula calculates the price of n t-shirts: c = 15 + 9(n + 1).

n is the quantity of t-shirts, and c represents the price in dollars.

We change n = 1 to represent the price of 2 t-shirts:

c = 15 + 9(1 + 1) = 33

the price will be.

t-shirts for two.

We enter n = 4 to get the price for 5 t-shirts: c = 15 + 9(4 + 1) = 51

the price will be.

Five t-shirts worth.

After the first shirt, additional shirts cost each shirt.

The cost of n t-shirts is given by the equation c = 15 + 9(n + 1), where the phrase 9(n + 1) denotes the price of subsequent shirts after the first shirt and the coefficient 9 denotes the amount by which the cost increases.

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Answer: 4 is to 2

Step-by-step explanation:

This is almost like a mind tricking question.

The question asked number of tetras to catfishes.

so you only have to focus on that. Not other unnecessary details

They gave you, 4 tetras, 9 corydoras, and 2 synodontis catfishes.

So the ration would be 4 tetras to 2 catfishes.