Mia has $1,000 in savings and wants to deposit her money in the savings account that will pay the most annual
interest. She is choosing between two accounts: Account A pays 5 percent and Account B pays 4 percent. Which
account will pay more interest? How much more will it pay each year?

Rosie traveled a total distance of approximately 117 kilometers by the end of the 10th day, using the formula for the sum of a geometric series and rounding to the nearest kilometer.

To find the total distance that Rosie traveled by the end of the 10th day, we use the formula for the sum of a geometric series. The first term of this series is 18 kilometers and each subsequent term is 90% of the previous term, indicating a common ratio r of 0.9.

The formula for the sum of the first n terms of a geometric series is [tex]\( S_n = \frac{a_1(1 - r^n)}{1 - r} \)[/tex], where [tex]\( a_1 \)[/tex] is the first term, r is the common ratio, and n is the number of terms.

Using this formula, the total distance [tex](\( S_{10} \))[/tex] that Rosie traveled after 10 days is:

[tex]\[ S_{10} = \frac{18(1 - 0.9^{10})}{1 - 0.9} \][/tex]

Calculating this, we get:

[tex]\[ S_{10} = \frac{18(1 - 0.3487)}{0.1} \][/tex]

[tex]\[ S_{10} = \frac{18(0.6513)}{0.1} \][/tex]

[tex]\[ S_{10} = \frac{11.7234}{0.1} \][/tex]

[tex]\[ S_{10} = 117.234 \][/tex]

To the nearest kilometer, Rosie traveled 117 kilometers by the end of the 10th day.

Answer:

-4v-4

Step-by-step explanation:

-4(v+1)

Distribute

-4*v +-4*1

-4v-4

Answer:

Medium 12-inch pizza with 7.85 inches of crust per slice.

Step-by-step explanation:

You need to find out how many slices of pizza would be in each pizza.

In a 12 in. pizza you have 8 slices and in a 24 in. pizza you have 12 pieces.

You are looking for more crust not more pizza. So the first one just says 12 pieces it doesn't mention anything about crust so that's off the list. The second one says a medium 12-inch pizza with 7.85 inches of crust PER SLICE.

Then you'd multiply 8 slices by 7.85 which gives you 62.8.

Round 62.8 to the nearest whole... (63 in.)

Remember you are looking for crust!!! Not pizza!

I hope I've helped!!!!! Please leave a thanks and vote!

To compare the amount of crust per slice between the large 24-inch pizza and the medium 12-inch pizza, we need to calculate the circumference of each pizza and then determine the length of crust per slice.

For the large 24-inch pizza:

- Radius, [tex]\( r_{24} = \frac{24}{2} = 12 \)[/tex] inches

- Circumference, [tex]\( C_{24} = 2 \pi r_{24} = 2 \pi \times 12 \)[/tex] inches

- Crust per slice, [tex]\( \frac{C_{24}}{12} \)[/tex] inches

For the medium 12-inch pizza:

- Radius, [tex]\( r_{12} = \frac{12}{2} = 6 \)[/tex] inches

- Circumference, [tex]\( C_{12} = 2 \pi r_{12} = 2 \pi \times 6 \)[/tex] inches

- Crust per slice, [tex]\( \frac{C_{12}}{8} \)[/tex] inches (since the pizza is cut into 8 slices)

Now, let's calculate inches of crust per slice for both pizzas:

- For the large 24-inch pizza: [tex]\( \frac{C_{24}}{12}[/tex] = [tex]\frac{2 \pi \times 12}{12}[/tex] = [tex]2 \pi \)[/tex] inches of crust per slice.

- For the medium 12-inch pizza:  [tex]\( \frac{C_{12}}{8} = \frac{2 \pi \times 6}{8} = \frac{\pi}{2} \)[/tex]  inches of crust per slice.

Comparing the values, [tex]\( 2 \pi > \frac{\pi}{2} \)[/tex]. Therefore, if she wants a slice with more crust, she should choose the large 24-inch pizza.

Answer:

(5,0) would be the x-intercept while (0,5) would be the y-intercept.

Answer:

X-axis for the 5,0 and y-axis for the 0,5

Step-by-step explanation:

So, you would know the x-axis makes the first number and the y-axis makes the last number

hope this helps :)

Answer:

3,000,000

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because you have to do is to add all of the total value, then you got your answer.

Answer:9700

Step-by-step explanation:

Answer:

5 * 10^10

Step-by-step explanation:

(9 * 10^10) - (4 * 10^10)

If the * 10^x are both the same then just take the numbers away.

Answer:

5×10 to the tenth power

Step-by-step explanation:

(9×10^10)-(4×10^10)

remove the parenthesis

9×10^10-4×10^10

then you need to collect like terms so you subtract 9-4

and get 5×10^10

final answer:5×10 to the tenth power

Answer:

This is a clearly a joke but:

3. Yes, you can. You can even look at a real sun with a special kind of sunglasses.

4. No. Animal lives of non-pet animals are not protected the same way as humans or pets are.

5. I believe that the Hunger Games as a whole are fictional, but there may be nonfiction blended in.

6. Have you ever heard of Canadian Geese? Or picked up a bird watching book?

7. None surviving to the present.

8. There could be a case where a surrogate mother does not know who the real biological father of the child she is carrying is.

9. If you forget you were acting as a surrogate, wait for a bit. The real mother should call in.

Step-by-step explanation:

Pretty much provided in the answers.

1. You haven't pooped it out, since ice becomes water, and so it doesn't keep it's shape. You would pee it out.

3. Yes, you can safely look at the picture of the sun, but you can't look at the sun directly, or it might blind you.

4. No it is not illegal to kill an ant. People do it all the times anyway; when you walk down the sidewalk imagine the number of bugs you are crushing.

5. The hunger games, is not part of a true story, it is labeled fiction, and takes part in a fictional place.

6. Yes, there are birds in Canada, there's a whole list on wikipedia ;)

9. You can be sure if you are the real mom of your kid, by taking a DNA test. It could be expensive, but if you can't get your mind off it, take the cash out.

I hope this helps.

Answer:

C. 6524 x 3/3

Step-by-step explanation:

Simplify:

3/3 = 1

6524 x  1 = 6524 (True).

C. is your answer.

Divide:

1204/14 = 86

86 is your answer.

~

Step-by-step explanation:

A 6524 x 6/3 = 13048

B 6524 x 3/ 3 = 6524

C 6524 x 1/8 = 815.5

D 6524 x 5/2 = 16310

Option B is the correct answer

5 1204 ÷ 14 = 86

Answer:

Pete didn't use only rigid transformations, so the figures are not congruent

Step-by-step explanation:

Translations, reflections, and rotations are all rigid transformations while a dilation is not. Pete used a dilation to make the shape smaller after transforming it, therefore the shape is similar not congruent.

If you're confused with what these math terms mean:

A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.

In geometry, a reflection is a type of rigid transformation in which the preimage is flipped across a line of reflection to create the image. Each point of the image is the same distance from the line as the preimage is, just on the opposite side of the line.

A dilation is a type of transformation (not a rigid one though) that changes the size of the image. The scale factor, sometimes called the scalar factor, measures how much larger or smaller the image is.

Transformation involves moving an object from its original position to a new position.

Rotation is a transformation that turns a figure about a fixed point called the center of rotation. An object and its rotation are the same shape and size, but the figures m

Pete's mistake in his conclusion is that he stated the quadrilaterals were congruent when he used a sequence of transformations that included a dilation. Dilation changes the size of the figure while maintaining shape, thus the shapes are similar but not congruent.

In his conclusion, Pete made an error by stating that the quadrilaterals A, B, C, D, and E, F, G, H are congruent because he used a sequence of rigid transformations. However, transformations that include a dilation are not rigid transformations. Rigid transformations, such as rotations, reflections, or translations, preserve the shape and size of the figure, making the resulting figure congruent to the original. A dilation, however, changes the size of the figure while maintaining its shape, resulting in a figure similar to, but not congruent with, the original. Therefore, although Pete was able to map quadrilateral A, B, C, D onto E, F, G, H, the two shapes are not congruent because dilation was a part of the sequence of transformations he used.

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Answer:

There are 35 possible group of 3 socks from a total of 7

Step-by-step explanation:

Given

Number of unique socks = 7

Number of possible selection = 3

Required

Number of ways she can make her selection.

The question can be categorised as combination; reason being that words like "take" as used in the question points to combination or selection.

To solve this, we make use of combination formula.

nCr = nPr/r!

Where n = 7 and r = 3

By substitution, we have

7C3 = 7P3÷3!

Taking it one at a time

7P3 = 7!÷(7-3)!

7P3 = 7! ÷ 4!

7P3 = 7 * 6 * 5 * 4! ÷ 4!

7P3 = 7 * 6 * 5

7P3 = 210

3! = 3 * 2 * 1

3! = 6.

So,

7C3 = 210 ÷ 6

7C3 = 35.

Hence, there are 35 possible group of 3 socks from a total of 7

Answer:

23.0 =x

Step-by-step explanation:

Assuming this is a right triangle

cos theta = adj/ hypotenuse

cos 23 = x/25

Multiply each side by 25

25 cos 23 = x

23.01262134 =x

To the nearest tenth

23.0 =x

Answer:

1mm, 1cm, 1m, 1km

The arrangement of the measurements from the shortest to longest is:

1 mm,  1 cm, 1 m, 1 km

The given measurements are:

1 cm, 1 m, 1 mm, and 1 km

Convert all the measurements to meters

1 cm  =  1/100 m

1 cm = 0.01 m

1 mm = 1/1000 m

1 mm = 0.001 m

1 km = 1 x 1000 m

1 km = 1000 m

By considering the meter equivalents of the measurements given, the arrangement from shortest to longest is:

1 mm,  1 cm, 1 m, 1 km

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Answer:

-2, 9

Step-by-step explanation:

Factor this expression:

[tex]x^{2} + 7x - 18[/tex]

We know that we need a factorization that multiplies to -18, and adds up to positive 7. Test all our combinations! Add them together and see if they equal 7.

-18 + 1 = -17 ≠ 7

-1 + 18 =  17 ≠ 7

-9 + 2 =  -7 ≠ 7

-2 + 9 = 7

So we need to use -2 and 9!

[tex](x+9)(x-2)[/tex]

Answer:

but you already answered it!!!

Answer:

You kind of already answered it

Answer:

Mikey weighs 110 pounds.

Step-by-step explanation:

Because Mikey weighs 15 pounds more, just add 95 pounds and 15 pounds to get Mikey's weight:

95 + 15 = 110

I hope this helps you!

Please rate my answer and give me Brainliest!

Have a nice day! :)

Answer:

75 men spent 7 hours or more exercising.

Step-by-step explanation:

If you multiply 300 by 0.67, you get 201. That would be the amount of men.  Multiply 300 by 0.37 to get 111, the amount of people who spent less than 7 hours exercising, and subtract it from the 201 men to get 90. Then, multiply 300 by 0.75 to get 225, the amount of women that spent 7 hours or more exercising, and subtract it from 300, which would result in an answer of 75. That's how many men spent 7 hours or more exercising.

Answer:

it is d

Step-by-step explanation:

Answer:

nitrogen is the solvent and oxygen is the solute

Step-by-step explanation:

Most of the time the solute will be present in a smaller quantity and the solvent will appear in a larger quantity.

Answer is A, nitrogen is the solvent and oxygen is the solute .

Answer:

77

Step-by-step explanation:

Every angle in a triangle adds up to 180 degrees. subtract 42 and 61 from 180 to get 77

Answer:

the answer is 77

Step-by-step explanation:

the whole figure has to equal 180 degrees so:

add 61 + 42 which equals 103

so then what is added to 103 to get 180?

its 77

Answer:

D) 13m

Step-by-step explanation:

To find the hypotenuse, use the formula for a² + b²= c², where a and b are the values of the triangle's two legs and c is the value of the hypotenuse.

In this case, a² = 7m and b² = 11m. Remember that there is no definite value for a or b, so they can be switched around.

So now our formula will look like this: 7² + 11² = c².

When squaring the two values, you will get a more simplified manner of the equation: 49 + 121 = c².

When we add them altogether, we get 170 = c²

That is not our answer yet, because we want the simplified, and not squared, form as the answer.

In order to do that, we must find the square root of √170, which is 13.0384048104, or just 13 when rounded to the nearest tenth.

So now we know that c², the hypotenuse, is approximately equal to 13.

Just to be sure, plug in all the value into the formula and try again.

Notice: the reason why they are not both is because we rounded 13.0384048104 to 13. But if we square 13.0384048104, we get 170, which is the same value as the one above. Easy, right?

Hope this helps!

Answer:

4

Step-by-step explanation:

As you can see, 108 divided by 36 is 3

And 36 divided by 12 is 3

So in the geometric sequence, each tern is divided by 3, so that means we divide 12 by 3

12/3 = 4

The next term of the geometric sequence ; 108,36,12,4.

A unique kind of sequence called a geometric sequence has a constant ratio between every two succeeding terms. This ratio is regarded as one of the geometric sequence's common ratios.

aₙ=a₁(r)ⁿ⁻¹.

Given:

The geometric sequence; 108,36,12,....

Common ratio of the geometric sequence,

r = 36/108 = 1/3

The general formula of geometric sequence,

aₙ=a₁(r)ⁿ⁻¹.

a₄=(108)(1/3)⁴⁻¹.

a₄=(108/27)

a₄= 4.

Therefore, the next term is 4.

To learn more about the geometric sequence;

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Answer: 9.5 cups of water

Step-by-step explanation:

5 1/2 + 4

5 1/2= 11/2

11/2+4=9.5

The number of cups of water used to water the garden will be 18 cups.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

The watering can contain 5 ¹/₂ quarts of water. After all the plants were watered, only 4 cups remained.

The total number of water (in cups) is calculated as,

⇒ 4 x 5 ¹/₂

⇒ 4 x 5.5

⇒ 22

The number of cups of water used to water the garden will be given as,

⇒ 22 - 4

⇒ 18

The number of cups of water used to water the garden will be 18 cups.

More about the conversion link is given below.

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Final answer:

The experimental probability that a randomly chosen monitor has no defects, calculated from inspecting 50 monitors and finding that 45 have no defects, is 90%.

Explanation:

To calculate the experimental probability that a monitor chosen at random has no defects, we divide the number of monitors with no defects by the total number of monitors inspected. In this case, 45 out of 50 monitors have no defects.

Therefore, the experimental probability = (Number of monitors with no defects) / (Total number of monitors) = 45/50 = 0.9

Expressing this as a percent, we multiply by 100 to get 90%. So, the experimental probability that a monitor chosen at random has no defects is 90%.

Answer:

cube - c

exponential - d

log -a

Step-by-step explanation:

h(1)= -91

h(n)=h(n-1)* (-1/7)

Hope this helps!

h(1)= -91

h(n)=h(n-1)* (-1/7)

Hope this helps!

Answer:

Option B, y = 2 Superscript x + 2 Baseline + 3

Step-by-step explanation:

I could be wrong tbh. I graphed it on a graphing website and the graph from B matched up with the graph shown in the question.

Answer:

B

Step-by-step explanation:

I graphed it

Answer:

36 in.

Step-by-step explanation:

1/2 x (12+6) x 4

1/2 x 18 x 4

9 x 4

36

Answer:120

Step-by-step explanation: i know i am a week late but ...

The value of expression ⁶P₃ will be 120. Then the correct option is D.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

The expression is given below.

⇒ ⁶P₃

Then the value of expression ⁶P₃ will be

⁶P₃ = 6! / (6 - 3)!

⁶P₃ = 6 x 5 x 4 x 3! / 3!

⁶P₃ = 6 x 5 x 4

⁶P₃ = 120

Then the correct option is D.

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