Monica deposits ​$400 into a savings account that pays a simple interest rate of ​4.3% .Paul deposits ​$500 into a savings account that pays a simple interest rate of ​%4.2 Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she​ correct? Justify your response.

The statement i.e. true is For every 4 mystery books checked out, 3 nonfiction books are checked out.

Here first determine the ratio of nonfiction books to mystery books

So, it should be like

= 18:24

= 6:8

= 3:4

So based on the above calculations we can say that The statement i.e. true is For every 4 mystery books checked out, 3 nonfiction books are checked out.

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Answer:

Step-by-step explanation:

24^2 + b^2 = 40^2

576 + b^2 = 1600

b^2 = 1024

b = 32

32

Step-by-step explanation:

\( {a}^{2} + {b}^{2} = {c}^{2} \)

a= 24 , b= b , c=40

In order to find b, you have to change the equation a bit. Your new equation will look like \( {c}^{2} - {a}^{2} = {b}^{2} \)

here is the step by step now

\( {40}^{2} - {24}^{2} = {b}^{2} \)

\( {1600} - {576} = {b}^{2} \)

\( {1024} = {b}^{2} \)

**now you need to take the square root of both sides and you get 32**

Answer:

138+(3*52)

3*52=156

138+156=294

I will solve another one of your questions if you mark this brainlest and give it a 5 star rating and a thanks! I am thrilled you help you!

Step-by-step explanation:

The measure of Angle C is approximately 26°.

A, B, C are vertices of a triangle, where AB = 8 cm, BC = 6 cm. To determine the measure of angle C, we need to use the cosine rule.

The cosine rule states that the square of one side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of the other two sides and the cosine of the angle between them.

Mathematically, we can represent it as follows:a² = b² + c² - 2bc cos(A)where a is the side opposite to angle A, b is the side opposite to angle B, c is the side opposite to angle C.

In this case, we have AB = c = 8 cm, BC = a = 6 cm, and AC = b. We need to find the measure of angle C, which is represented as cos(C).

Using the cosine rule, we can write the equation as follows:$$\begin{aligned} b^2 &= c^2 + a^2 - 2ca\cos(C) \\ \Right arrow b^2 &= 8^2 + 6^2 - 2 \times 8 \times 6 \cos(C) \\ \Right arrow b^2 &= 64 + 36 - 96 \cos(C) \\ \Right arrow b^2 &= 100 - 96 \cos(C) \end{aligned}$$We know that b is a positive length. Hence, b² > 0 or 100 - 96 cos(C) > 0. Solving for cos(C),  

we get: cos(C) < 100/96cos(C) < 1.0417Using a calculator, we can determine the inverse cosine of 1.0417 as:cos⁻¹(1.0417) = 0.4569 radians = 26.201° (rounded to the nearest degree)

Therefore, the measure of angle C is approximately 26°.

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An image of triangle NOG after a rotation 90° clockwise about the origin is shown below.

In Mathematics and Geometry, a rotation is a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

Next, we would apply a rotation of 90° clockwise about the origin to the coordinate of this triangle NOG in order to determine the coordinate of its image;

(x, y)                →            (y, -x)

Point N = (-4, -1)          →     Point N' (-1, 4)

Point O = (-4, -3)          →     Point O' (-3, 4)

Point G = (0, -1)          →     Point G' (-1, 0)

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Answer:

D

Step-by-step explanation:

IM RLY SORRY IF THIS IS WRONG IM DOING THIS FORM MEMORY

so I'm pretty sure u the arch equals twice the angle

so pi/2*2 = pi so D

hope it helppsss

trying not to dieT-T

To sketch the graph that shows the relationship between grams of honey ans grams of salt needed for a bakery recipe, first is to determine which variable will correspond to each axis.

I'll plot the grams of honey in the y-axis and the grams of salt in the x-axis.

Using both given points for the relationship of salt and honey (10, 14) and (25, 35) I ploted the line that prepresents the relationship between these two ingredients.

After ploting the line, I determined by looking at the graph that for 70g of salt there are needed approximately 98g of honey (green lines)

Answer:

This is not a linear function.

Step-by-step explanation:

It is a quadratic function.  If you were to make a table of the x and y values of the function it would look like this:

x    y

0   -4

1   -1

2    8

Just by looking at these three values, we can see that they do not increase at a consistent rate.  It increases by 3 from 0 to 1, but increase by 9 from 1 to 2.  You can tell if a function is linear by seeing if it increases at a constant rate.  (In this case it does not)

Polynomial M is 2(x - \((\frac{1}{12}a)^{2}\) - (1/72)\(a^{2}\) + by

To find the polynomial M, we need to rearrange the equation given to us. We can start by adding M to both sides of the equation to isolate the constant term. This gives us:

2\(x^{2}\) - (1/3)ax + by = M

Now, we have the polynomial M in terms of x, a, b, and y. However, this is not in its simplest form yet. We can simplify this further by factoring out the coefficient of x. This gives us:

2(\(x^{2}\) - (1/6)ax) + by = M

Now, we can complete the square inside the brackets to get a perfect square trinomial. This means taking half of the coefficient of x, squaring it, and adding it and subtracting it inside the brackets. This gives us:

2((x - \((\frac{1}{12}a)^{2}\)  - (1/144)\(a^{2}\)) + by = M

Simplifying this further, we get:

2(x - \((\frac{1}{12}a)^{2}\)  - (1/72\(a^{2}\) + by = M

Therefore, the polynomial M is given by:

M = 2(x - \((\frac{1}{12}a)^{2}\)  - (1/72)\(a^{2}\) + by

This is the final answer for the polynomial M.

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Answer:

a = 5

Step-by-step explanation:

For the quadratic equation

ax² + bx + c = 0,

the discriminant is

b² - 4ac

Here we have ax² - x - 3, so we have

a = a

b = -1

c = -3

b² - 4ac = 61

(-1)² - 4(a)(-3) = 61

1 + 12a = 61

12a = 60

a = 5

Answer:

2 1/2

Step-by-step explanation:

To Find x It the same things as 1 3/4 + 3/4 = x.

Look in the picture for the work or below:

Add \(\frac{7}{4}\) to both sides of the equation

\(x-\frac{7}{4}+\frac{7}{4}=\frac{3}{4}+\frac{7}{4}\)

Simplify

\(\frac{5}{2}\)

\(\frac{5}{2}=2\frac{1}{2}\)

Answer:

Step-by-step explanation:

\(x - 1\frac{3}{4} =\frac{3}{4}\)

\(x =\frac{3}{4} + 1\frac{3}{4}\)

\(x =\frac{3}{4} + \frac{7}{4}\)

\(x = \frac{3+7}{4}\)

\(x=\frac{10}{4}\)

\(x = \frac{5}{2}\)

\(x = 2\frac{1}{2}\) or \(2.5\)

The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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La madre canguro saltó una distancia total de 6 millas para llegar al lago.  .

Considering the dot plot, the tallest conifer is 3.25 inches taller than the shortest conifer.

This shows, with dots, the number of times that each of the measures appears in a data set.

For finding the dot plot, we have that:

The shortest conifer measures 6 and 1/4

= 6.25 inches.

The tallest conifer measures 9.5 inches.

The difference is:

9.5 - 6.25 = 3.25 inches.

Therefore the tallest conifer is 3.25 inches taller than the shortest conifer.

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The value of Cosine of C is 8/10. So the option d is correct.

In the given question, we have to find which of the following is showing the correct ratio for Cosine of C.

The given options are:

(a) 6/10

(b) 10/8

(c) 6/8

(d) 8/10

As we know that cosine is the ration of adjacent side and hypotenuse.

From the given diagram we can see that;

Adjacent Side = 8

Hypotenuse = 10

Opposite Side = 6

Now the;

CosC = Adjacent Side/Opposite Side

CosC = 8/10

Hence, the value of CosC is 8/10. So the option d is correct.

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The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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Answer:

Step-by-step explanation:

The teacher has 7/8 pounds of clay given.

gives out 1/16 per station

7/8= 0.875 pound

7/8 / 1/16 pound= 14 maximum stations

14 stations divided by 2 classes = 7 in each room

you could use the multiplication strategy such as 10x3 or 3x10

Answer : 10 x 3

Step - by - step explanation :

10 x 3 = How much time Denzel spends washing his car

Answer:

dunno

Step-by-step explanation:

area = 25.5 cm²

Step-by-step explanation:

i have shown in the image you have to rotate it to see how i worked the area out

i am very sorry i cant work the perimeter out since i have no idea what the length of the two sides of the triangle are . if you need help on understanding how i worked out the area please let me know .

hopefully i was able to help you in half of the question i am sorry for not helping on the perimeter :)

Answer:

Step-by-step explanation:

Perimeter=25

Answer:

Step-by-step explanation:

哇，我喜歡吃很多食物，因為我喜歡並喜歡它。

Wa, wǒ xǐhuān chī hěnduō shíwù, yīnwèi wǒ xǐhuān bìng xǐhuān tā.

Answer:

125 weeds in 15 mins

Step-by-step explanation:

Chay can use 3 bags of mulch per flower bed.

Chay is buying mulch for the zoo's summer flower beds. She has enough in her budget to purchase 55 bags of mulch. If there are 20 flower beds, how many bags of mulch can be used in each flower bed?The number of bags of mulch that can be used in each flower bed can be found by dividing the total number of bags of mulch by the number of flower beds, as given by the problem.Let X be the number of bags of mulch used in each flower bed. Then, the following equation can be written:Total number of bags of mulch = X × number of flower beds (20)Or, 55 = 20XDividing both sides of the equation by 20, we get: X = 55/20X = 2.75.Therefore, Chay can use 2.75 bags of mulch in each flower bed. However, since we cannot have a fraction of a bag of mulch, she would have to round up to 3 bags of mulch per flower bed to ensure each flower bed has enough mulch.

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Step-by-step explanation:

The way you can think about volume is that we have some cross sectional area times the height of the solid.

27.

The volume of a square based pyramid is

\(v = {s}^{2} ( \frac{h}{3} )\)

where h is the height of the pyramid

s is the side length of the square base.

S=7

h=12

\(v = {7}^{2} ( \frac{12}{3} ) = 49 \times 4 = 196\)

28. The volume of a rectangular prism

\(v = l \times w \times h\)

where l is length

w is width

h is height

\(v = 11 \times 11 \times 8 = 968\)

29.

Use the same formula in 27

\(v = 100(3) = 300\)

30.

Volume of a Cylinder is

\(v = \pi {r}^{2} h\)

where r is the radius of the circle

where h is the height

r is half of the diameter

The diameter is 22, thus the radius is 11.

\(v = {11}^{2} (8)(\pi)\)

\(v = 968\pi\)

pi is approximately 3.14

\(v = 3041.06\)

31. Volume of A Sphere

\( \frac{4}{3} \pi {r}^{3} = v\)

The radius is half of diamter, thus r=7

\( \frac{4}{3} \pi( {7}^{3} ) = 1436.76\)

1. The slope of the curve y⁴ = y² - x² at (-√3/4, - 1/2) is √3/2

2. The slope of the curve y⁴ = y² - x² at (√3/4, - √3/2) is -1/2

The slope of a curve is the tangent to the curve at that point.

Given the curve y⁴ = y² - x², to find the slope of the curve ata the points (-√3/4, - 1/2) and (√3/4, - √3/2), we proceed as follows.

To find the slope of the curve, we find the derivative of the curve. So,

y⁴ = y² - x²

dy⁴/dx = d(y² - x²)/dx

dy⁴/dy × dy/dx = dy²/dy × dy/dx - dx²/dx

4y × dy/dx = 2y × dy/dx - 2x

4y × dy/dx - 2y × dy/dx = - 2x

2ydy/dx = -2x

dy/dx = -2x/2y

dy/dx =-x/y

1. The slope at (-√3/4, - 1/2) is

dy/dx = -x/y

= -√3/4 ÷ - 1/2

=  -√3/4 × 2

= √3/2

2. The slope at (√3/4, - √3/2) is

dy/dx = -x/y

= √3/4 ÷ - √3/2

=  √3/4 × -2/√3

= -2/4

= -1/2

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1 year insurance policy covering its equipment was purchased for 6,144. The date purchased was June 14 but it doesn't go into effect until June 16th, the amount paid for the month of June is approximately $252.75, and the amount paid for the entire year is approximately $6,144.

To calculate the amount paid for the month and the year, we need to consider the number of days covered by the insurance policy. Let's break it down step by step:

Step 1: Determine the number of days covered in June.

Since the policy doesn't go into effect until June 16th, there are 15 days remaining in June that will be covered by the insurance policy.

Step 2: Calculate the daily rate.

To find the daily rate, we divide the total cost of the insurance policy by the number of days in a year:

Daily rate = 6,144 / 365

Step 3: Calculate the amount paid for June.

The amount paid for June can be found by multiplying the daily rate by the number of days covered:

Amount paid for June = Daily rate * Number of days covered in June

Step 4: Calculate the amount paid for the year.

To calculate the amount paid for the year, we simply multiply the daily rate by 365 (the total number of days in a year):

Amount paid for the year = Daily rate * 365

Now let's perform the calculations:

Step 2: Daily rate

Daily rate = 6,144 / 365 ≈ 16.85 (rounded to two decimal places)

Step 3: Amount paid for June

Amount paid for June = 16.85 * 15 ≈ 252.75 (rounded to two decimal places)

Step 4: Amount paid for the year

Amount paid for the year = 16.85 * 365 ≈ 6,144 (rounded to two decimal places)

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Answer:

m<wzx = 71

Step-by-step explanation:

Assuming these are interior angles of a triangle.

The sum of all three interior angles of a triangle is always 180 degrees, therefore:

m<xyz + m<wxz + m<wzx = 180

Substitute our values:

58 + 51 + m<wzx = 180

m<wzx = 180 - 58 - 51

m<wzx = 71

Answer:

3 gallons of paint hope it helps my guy

The missing equivalent forms are: a = 10%,  b = 25/100 and c = 1/2

Unit Fraction   Fraction with 100 in denominator      Percent

1/10                              10/100                                             a

1/4                                  b                                                  25%

c                                  50/100                                           50%

Complete the table by finding the missing equivalent form for each row.

From the above table, we have the following equations

a = 10/100

b = 25%

c = 50/100

The variable a must be in percentage.

So, we have:

a = 10/100

Express as percentage

a = 10%

The variable b must be a fraction with 100 in denominator

So, we have:

b = 25%

Express as fraction

b = 25/100

The variable b must be a unit fraction

So, we have:

c = 50/100

Divide the fraction by 50/50

c = 1/2

Hence, the missing equivalent forms are:

a = 10%,  b = 25/100 and c = 1/2

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