Micah invested $3450 in an account paying simple interest. At the end of 6 years, the value of
his account was $3967.50. What was the interest rate?

1.5%
2.0%
2.5%
15%

Hi, you would predict getting the blue more, because the probablility of picking that has a higher chance than the others, because it is 5/12 while the others are less. Hope this helps.

Answer:

Based on the information, the probability of rolling a number less than a 3 (that is, a 1 or a 2) is 56/200 = 7/25 = 28%.

Answer:

19.8

Step-by-step explanation:

Subtract 130.2 by 110.4

the answer is in the file i linked below and i tried to do as much work as I can for it not to be messy

Caspian Sea is elevated at 92 feet (or 28 meters) below sea level. (globally preferred unit is meters)

On the scale of sea levels, a certain height has been assigned zero elevation. This acts as a reference point for rest of the measurements and is called Mean Sea Level (MSL). It is also known as still water level.

Caspian Sea at 92 feet below sea level means it is 92 feet below MSL. Thus, its elevation is considered 92 feet below sea level.

Global MSL is calculated using the spatial average of the complete ocean's level.

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Answer:

3:1

Step-by-step explanation:

Answer:

200 blue

Step-by-step explanation:

8:3 = 80:30 (red to green)

blue: red

5 :2

*40

200:80

Answer:

orange :P

Step-by-step explanation:

volume = a x a x a = 15 x 15 x 15 =3375 cubic mm

Answer:

3375 cm (so the 3375 with the 3 in the corner)

DONT PUT THE ONE WITH THE 2 IN THE CORNER. Put the one with the 3 in the corner. I have made this mistake too many time lol.

Work:

Given, side of a cube =15 cm

Volume of a cube = Length x Width x Height

A cubes length, width, and height are the same.

15×15×15=3375 cm squared  

Answer:

and is B

Step-by-step explanation:

plz follow me

thanks

Answer:

\(\approx 785.40\:\mathrm{in^2}\)

Step-by-step explanation:

The total surface area of a cylinder with radius \(r\) and height \(h\) is given by \(SA=2r\pi\cdot h+2\cdot r^2\pi\).

What we're given:

Substituting given values, we get:

\(SA=2\cdot 5\cdot \pi \cdot 20\+2\cdot 5^2\cdot \pi=785.398163\approx \boxed{785.40\:\mathrm{in^2}}\)

Answer:

Step-by-step explanation:

$66.67/month for three months

The monthly payment is calulated by dividing the total cost of the mountain bike by 3.  For example, if the total cost is $200, the three monthly payments will be $66.67 each:

   $200

---------------- = $66.67/month for three months

  3 months

Answer:

C

Step-by-step explanation:

Using Pemdas:

3 (1 + 4) / 3 + 4^2

3 (5) / 3 + 4^2

3 (5) / 3 + 16

15 / 3 + 16

Answer:

A

Step-by-step explanation:

First you have to simplify the equation, you should use PEMDAS. This means you first have to simplify the parenthesis.  simplify it, multiply 3 by 1 and 4. This makes the equation 3+12/3+4^2. Then following PEMDAS, you simplify the exponent. 4^2 is the same as 4x4 so 4^2 is 16. 3+12/3+16, then you can simplify either side first. 3+12/18, then you simplify the only part left. 15/18. The GCM of this fraction is 3 so you divide both sides by 3. 15/3/18/3. Simplify this to get 5/6.

When you simplify equation A, you get 15/3/6. First simplify 15/3 to get 5. This equation answer is 5/6 which is equal to 5/6 so this is the correct answer.

When you simplify equation B, you get 15/3/8. Simplify 15/3 again and get 5. This equation answer is 5/8 which is not equal to 5/6 so this is not the correct answer.

When you simplify equation C, you get 15/3/16. Simplify 15/3 first and get 5. 5/16 is not equal to 5/6 so this is not the correct answer.

Therefore, Equation A is the correct answer.

Answer:

Its 96 hope it helped :)

Step-by-step explanation:

Answer:

96x

Step-by-step explanation: (2 negatives make a positive)

1. multiply the common factors first

-12x (-8)

(-12)*(-8) = 96

2. now you bring down the X and multiply X to 96

x(96) = 96x

Answer:

4/9

Step-by-step explanation:

We first let 0.4 (4 being repeated) be  x

Since  x  is recurring in 1 decimal places, we multiply it by 10

10 x = 4.4

Next, we subtract them

10 x − x = 4.4 −0.4

9 x = 4

Lastly, we divide both sides by 9 to get  x  as a fraction

x = 4 /9

Hope it helps!     :3

Plz mark as brainliest!

The answers to the questions based on the circle graph are given as follows.

a. The degrees for each part of the circle graph are approximately -

b. The percentage of people who chose each day is approximately -

c. The number of people who chose each day is approximately -

d. See the table attached.

To find the values for each part of the circle graph, we need to determine the value of x.

Given the information provided -

Monday = x°

Tuesday = 3/2x°

Wednesday = 90°

Thursday = 3x°

Friday = 2x°

a. To find the value of x, we can add up the angles of all the days in the circle graph -

x + (3/2)x + 90 + 3x + 2x = 360°

Simplify the equation -

Now  calculate the valuesfor each   protionof the circle graph -

b. The percentage of people who chose each day

c. Calculate the number of   people who chose each day,we can use the percentage values andmultiply them   by the total number of people surveyed (200).

d. Organizing the results in a table - See attached table.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached Image.

the expression g(f(3)) evaluates to 4.

To evaluate the expression g(f(3)), we first need to find the function value f(3) using the given table. After finding f(3), we will use its value as the input for the function g(x) to determine the final answer.
From the table, we can see that when x = 3, f(x) = 8. So, f(3) = 8. Now, we need to find the function value of g(x) when x = 8, which is g(8).
Looking at the table again, we can see that when x = 8, g(x) = 4. Therefore, g(8) = 4.
Now that we have found the function values for both f(3) and g(8), we can evaluate the expression g(f(3)):
g(f(3)) = g(8) = 4.

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Answer: B

Step-by-step explanation:

The 12 represents the variable charge that goes infront of the x variable which represents the number of hours and y intercept is the 3 that represents the fixed cost of 3 for the life jacket.

x can take one different hours  thereby increasing the cost for more hours rented

y=12x+3

Answer:

\(\large \boxed{\sf \frac{1}{9}}\)

Step-by-step explanation:

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

\(\sf Vertex = (h,k)\)

y-value is 0 and the x value is 5

h = 2

k = -1

\(\sf 0=a(5-2)^2+-1\)

Solve for \(\sf a\) (the coefficient of the squared term).

\(\sf 0=a(3)^2+-1\)

\(\sf 0=9a-1\)

\(\sf 9a=1\)

\(\displaystyle \sf a=\frac{1}{9}\)

The coefficient of the squared term in the parabola equation is 1/9.

Answer:

Fot this parabola the coefficient for squared term is 7

Step-by-step explanation:

The formula for vertex equation is:

x = a*(y-h)^{2}+kx=a∗(y−h)

2

+k

if vertex is at (-3,-1) and in the formula the vertex is (k,h), we replace this values

x = a*(y +1)^{2} -3x=a∗(y+1)

2

−3

The other point of this parabola is (4,0), so we replace it in the formula below:

4 = a*(0 + 1)^{2} -34=a∗(0+1)

2

−3

4 = a*(1)-34=a∗(1)−3

4 +3= a*(1)4+3=a∗(1)

a=7a=7

Answer:

-3

Step-by-step explanation:

Answer:

3rd one is right answers so just put that only

Answer: A and B

Step-by-step explanation:

value of variable x and y in simultaneous equations are 3,1 and 3,-3 respectively.

Several algebraic equations that have the same unknown variables and the same answer are referred to as simultaneous equations. It suggests that there is a single solution to the simultaneous equations. Examples of concurrent equations include: 2x - 4y = 4, 5x + 8y = 3.

Given Simultaneous Equation;

Equation 1 ; y=x²-x+3

Equation 2 ;  y=6-3x

Putting Equation 2 in 1 we get

6-3x=x²-x+3

x²+2x-3=0

x²+3x-x-3=0

x(x+3)-1(x-3)=0

(x-3)(x-1)=0

x=3,1

By entering x values in equation 2, we obtain

y=6-3×3

y=-3

Or y=6-3×1=3

Hence, value of x and y are 3,1 and 3,-3 respectively.

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Answer:

32.34 meters

Step-by-step explanation:

All you need to do is label the rectangle with the information given. 9.35 for width, and 6.82 for length.

Next, just fill in the other sides and add. Because it's a rectangle, then you should be able tp label the blank sides.

Next, just add all the sides together and then you'll get your perimeter!                                                    

                                9.35 + 9.35+ 6.82 + 6.82= 32.34

Answer:

10 and 10

Step-by-step explanation:

This is because of the triangle having all sides with the same angle. This is a equilateral triangle

Answer:

AB, BC and AC.

Step-by-step explanation:

The length of a side of a triangle is proportional to the angle across it.

Here the order of angles are, from smallest to largest, C, A and B.

The corresponding order of lengths (of the opposite sides) are therefore:

AB, BC and AC.

Answer:

expresion happy

Step-by-step explanation:

Answer: Z<4

Step-by-step explanation:

Rearrange the equation

-3(z-6) - (2z-2)>0

-3z+18-2z+2>0

-5z +20>0

-5(z-4)>0

divide  both side by -5

z-4<0

z<4

The area of the region between the curves r = √3 cos(θ) and r = sin(θ) is approximately 0.478 square units.

To find the area of the region that lies inside the first curve and outside the second curve, we need to evaluate the integral of the difference between the two curves with respect to the angle.

For the curves r = 10 cos(θ) and r = θ, we can find the points of intersection by setting the two equations equal to each other:

10 cos(θ) = θ

This equation cannot be solved analytically, so we need to approximate the points of intersection numerically. One of the points of intersection is near θ ≈ 0.739, and the other point is near θ ≈ 4.493.

To calculate the area between the curves, we integrate the difference of the curves from the smaller angle to the larger angle:

A = ∫\((r_{1} ^2 - r_{2} ^2)\)dθ

Where r₁ is the larger curve (r = 10 cos(θ)) and r₂ is the smaller curve (r = θ).

A = ∫((10 cos(θ))² - θ²) dθ

Integrating this expression over the range of θ from the smaller point of intersection to the larger point of intersection will give us the area of the region.

A = ∫[100 cos²(θ) - θ²] dθ

Evaluating this integral analytically is challenging, so we'll need to approximate it numerically or use numerical integration methods.

Using numerical integration techniques or software, we find that the area of the region between the curves r = 10 cos(θ) and r = θ is approximately 32.076 square units.

For the second problem with the curves r = 7 cos(θ) and r = 3 + cos(θ), we need to find the points of intersection by equating the two equations:

7 cos(θ) = 3 + cos(θ)

Rearranging this equation, we have:

6 cos(θ) = 3

cos(θ) = 1/2

This occurs at θ = π/3 and θ = 5π/3.

To find the area between the curves, we integrate the difference of the curves:

A = ∫\((r_{1} ^2 - r_{2} ^2)\) dθ

Where r₁ is the larger curve (r = 7 cos(θ)) and r₂ is the smaller curve (r = 3 + cos(θ)).

A = ∫((7 cos(θ))² - (3 + cos(θ))²) dθ

Integrating this expression over the range of θ from π/3 to 5π/3 will give us the area of the region.

A = ∫[49 cos²(θ) - (3 + cos(θ))²] dθ

Again, evaluating this integral analytically is challenging, so we'll need to approximate it numerically or use numerical integration methods.

Using numerical techniques or software, we find that the area of the region between the curves r = 7 cos(θ) and r = 3 + cos(θ) is approximately 16.601 square units.

For the third problem with the curves r = √3 cos(θ) and r = sin(θ), we need to find the points of intersection by equating the two equations:

√3 cos(θ) = sin(θ)

Rearranging this equation, we have:

√3 cos(θ) - sin(θ) = 0

We can solve this equation analytically:

tan(θ) = √3

This occurs at θ = π/3.

To find the area between the curves, we integrate the difference of the curves:

A = ∫\((r_{1} ^2 - r_{2} ^2)\) dθ

Where r₁ is the larger curve (r = √3 cos(θ)) and r₂ is the smaller curve (r = sin(θ)).

A = ∫((√3 cos(θ))² - (sin(θ))²) dθ

Integrating this expression over the range of θ from 0 to π/3 will give us the area of the region.

A = ∫[3 cos²(θ) - sin²(θ)] dθ

Again, evaluating this integral analytically is challenging, so we'll need to approximate it numerically or use numerical integration methods.

Using numerical techniques or software, we find that the area of the region between the curves r = √3 cos(θ) and r = sin(θ) is approximately 0.478 square units.

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Answer:

Step-by-step explanation:

You want to know angles x, y, and z in the given figure where parallel lines 'a' and 'b' are crossed by a transversal. The sum of these angles is 290°.

Angles y and z are called consecutive interior angles. As such, they are supplementary, so their sum is 180°.

  x + y + z = 290°

  x + 180° = 290°

  x = 110°

Angles x and y are vertical angles, so are congruent.

  y = x = 110°

Then z is found from ...

  y + z = 180°

  110° + z = 180°

  z = 70°

The measures of x, y, and z are 110°, 110°, and 70°, respectively.

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This estimation is speculative and may not accurately reflect the actual probability in the given context.

To determine the probability that a person is using a 3-month new member discount given that they have been a member for more than a year, we would need additional information such as the total number of members, the number of members using the discount, and the distribution of membership lengths.

Without this information, it is not possible to calculate the probability directly. However, we can make some assumptions to provide a general idea.

Assuming that the new member discount is only available to new members for the first three months of their membership and that the number of members who have been a member for more than a year is significant, we can estimate that the probability of a person using the 3-month new member discount in this scenario is likely to be low.

This assumption is based on the understanding that the longer a person has been a member, the less likely they are to still be eligible for or make use of a new member discount.

It's important to note that without specific data or a more detailed understanding of the membership characteristics and behavior, this estimation is speculative and may not accurately reflect the actual probability in the given context.

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