Tom invested £1000 for 2 years with Bettabank.
He got 2.5% simple interest each year.
Jay invested £1000 for 2 years with Moneyplus.
She got a total of £60 interest for the 2 years.
Show that Jay got the better investment.

Answer:

4 sandwich + 5 soup +3 drink

total = 20

choices of ordering a sandy , soup and drink =

3/12= 1/4

Final answer:

To determine the number of meal combinations, multiply the number of sandwich, soup, and drink options together. With 4 sandwiches, 5 soups, and 3 drinks, there are 60 different meal combinations.

Explanation:

The student's question is asking for the number of different combinations available when choosing one sandwich, one soup, and one drink from a menu with multiple options for each category. To calculate the total number of combinations, we apply the Fundamental Principles of Counting and use the Multiplication Principle. Since there are 4 kinds of sandwiches, 5 kinds of soup, and 3 drinks, the number of unique combinations can be found by multiplying these numbers together.

Number of combinations = Sandwich options × Soup options × Drink options
= 4 × 5 × 3

The calculation gives us 4 × 5 × 3 = 60 different combinations.

Answer:

(4,3)

Step-by-step explanation:

The coordinate of midpoint of two end points (x1,y1) and (x2, y2) is given by

[tex]( \frac{x1 + x2}{2} \: \: \: \: \: \frac{y1 + y2}{2} )[/tex]

Here, x1=9 y1=8

x2=-1 and y2=-2

So the midpoint of AB is

[tex]( \frac{9 + ( - 1)}{2} \: \: \frac{8 + ( - 2)}{2} \: )[/tex]

[tex] (\frac{9 - 1}{2} \: \: \frac{8 - 2}{2} \: \: ) \\ ( \frac{8}{2} \: \: \frac{6}{2} \: )[/tex]

(4,3)

Answer and Step-by-step explanation:

Answer:

y = |x+1|

Step-by-step explanation:

To shift a function left, add inside the function's argument: f (x + b)

y = |x|

We will add 1 to x

y = |x+1|

To shift a function right, subtract inside the function's argument: f (x - b)

Answer:

y = |x+1|

Step-by-step explanation:

In y = |x|, the vertex is at (0,0)

When translated one unit left, vertex will be at (0,-1)

Equation:

y = |x - (-1)|

y = |x+1|

We have been given that [tex]m=6x+5[/tex]. We are asked to rewrite the equation [tex](6x+5)^2-10=-18x-15[/tex] in terms of m.

First of all, we need manipulate right side of our given equation.

We will factor out -3 from right side of equation as:

[tex](6x+5)^2-10=-3(6x+5)[/tex]

Upon substituting [tex]m=6x+5[/tex] in our equation, we will get:

[tex](m)^2-10=-3(m)[/tex]

[tex]m^2-10=-3m[/tex]

Upon writing this equation in general form of equation, we will get:

[tex]m^2+3m-10=-3m+3m[/tex]

[tex]m^2+3m-10=0[/tex]

Therefore, the equation [tex]m^2+3m-10=0[/tex] is equivalent to our given equation.

Step-by-step explanation:

Hope this helps you with this question

The surface area of the cylinder has a radius of 2 cm and a height of 5 cm is 62.8 square cm.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

The surface area of the cylinder is given as

[tex]\rm Surface \ area = 2 \pi rh[/tex]

We have

r = 2 cm

h = 5 cm

Then the surface area will be

[tex]\rm Surface \ area = 2 \times 3.14\times 2\times5\\\\Surface \ area = 62.8 \ cm ^2[/tex]

More about the cylinder link is given below.

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You have to make sure you follow this step by step

Step-by-step explanation:

Step 1:  Subtract 4x from both sides

[tex]2x^2 - 4x = 4x - 4x - 7[/tex]

[tex]2x^2 - 4x = -7[/tex]

Step 2:  Add 7 to both sides

[tex]2x^2 - 4x + 7 = -7 + 7[/tex]

[tex]2x^2 - 4x + 7 = 0[/tex]

Step 3:  Use the Quadratic Formula

[tex]x = \frac{ -b \pm \sqrt{b^2 -4ac} }{2a}[/tex]

[tex]x = \frac{ -(-4) \pm \sqrt{(-4)^2 - 4(2)(7)} }{ 2(2 )}[/tex]

[tex]x = \frac{ 4 \pm \sqrt{-40} }{4}[/tex]

[tex]x = \frac{4 \pm2i \sqrt{10} }{4}[/tex]

[tex]x = \frac{2 \pm i\sqrt{10}}{2}[/tex]

Answer:  [tex]x = \frac{2 \pm i\sqrt{10}}{2}[/tex]

Answer:

10 cubes

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Given that the dimensions of  a solid are in proportion a : b, then

then the ratio of the area is a² : b²

Thus

scale factor = [tex]\frac{5}{2}[/tex] , then

area factor = [tex]\frac{5^2}{2^2}[/tex] = [tex]\frac{25}{4}[/tex] → D

Answer:

D

Step-by-step explanation:

Answer:

x = 1

y = 1

Step-by-step explanation:

Since it gives you the value of y already, all you need to do is plug it into the equation, like so:

y = -3x + 4

1 = -3x + 4

Now, subtract 4 from both sides:

1 = -3x + 4

-4        - 4

________

-3 = -3x

Finally, divide both sides by -3:

-3 = -3x

1 = x

So now you have, x = 1 and y = 1.

Answer:

60

Step-by-step explanation:

Answer:

First, you have to simplify the inequality and solve for x.

x + 2x + 6 < 50

3x + 6 < 50

3x < 44

x < 14 2/3

So, you now have another set of numbers, {13, 14, 15, 16, 17}, and you know x must be smaller than 14 2/3. The only two numbers in that set that works are 13 and 14, making A: {13, 14} the correct answer. 

The only choice that fits is A.

Answer:

a) 9^3 square root 13x. the exponents are the same so 4^3 and 5^3 become 9^3. just add the square roots since they have the same variable.

Step-by-step explanation:

Answer:

I remember isosceles from the I sounding like eye and we have 2 eyes.

An isosceles triangle has two sides that are the same. We know the sides are the same because of the picture and if we subtract the angles 80 + 50 = 130 180-130=50 so that means that both A and C are 50 degrees so the triangle is isosceles.

My grammar isn't the best so you can make some edits but overall basically there are two sides that are the same.

Step-by-step explanation:

the answer should be 320.4

Answer:

320.4

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

This is because the formula of the area of a triangle is b x h divided by 2.

Since 8 is the base, you have to find what to multiply it by to get 80 (since 80 divided by 2 is the answer, 40).

80 divided by 8 is 10, therefore the base, or x, is 10.

You can put it in the formula to double check and it will equal 40.

Answer:

This line tells Charles that the point must lie in Quadrant 3 if r is positive or Quadrant 1 if r is negative.

The value of r is negative. Therefore, the point will lie in the opposite quadrant as the angle of rotation.

Step-by-step explanation:

With polar coordinates the first value represents the distance from the origin and the second value represents the rotation from 0. In this case the distance from the origin value is negative, which means it will be in the opposite quadrant to the angle of rotation.

(-5, −3π/4) results in the same point as (5, π/4)

A rotation of −3π/4 results in the same rotation as 5π/4

The rotation results in Quadrant 3 but because the distance value is negative the final resulting point is in Quadrant 1.

Answer:

approx. 13.33%

Step-by-step explanation:

12 divided by 90 is 13.33333333333333 that goes on forever so just cap it at 13.33  

please mark brainliest :)

Answer:

13%

Step-by-step explanation:

see how may time 12 can convert

Answer: y^2 - 6

Step-by-step explanation:

We are given the statement which is:

The square of y decreased by the quotient of 36 and 6

We need to get the mathematical expression for the question.

Power 2 is used for square and

The sign "/" is used for quotient or division.

The sign "-" is used to subtract or decrease.

Using the sign above,

Square of y = y^2

Quotient of 36 and 6 = 36/6

The square of y decreased by the quotient of 36 and 6 = y^2 - 36/6

= y^2 - 6

Therefore, the required expression is:

y^2 - 6

The phrase is y^2 - 6.

The phrase "the square of y decreased by the quotient of 36 and 6" translates to the mathematical expression y2 - (36 / 6). This expression involves two operations:

Then, you decrease the square of y by this quotient, which gives you the final expression y2 - 6.

Answer:

3.3 and 4.5

Step-by-step explanation:

Answer:

1.2 and 2.4

Step-by-step explanation:To find the distance between the two you subtract the lesser number from the number with a higher value. In htis case, that'd be 1.2. From there you can use any number let's say 5 and add 1.2 to it, 6.2 and you'd have your two numbers, 5 and 6.2.

Answer:

~14.14m.

espero que esto ayude :)

The equation for the amount in a savings account over time is provided, and the time to reach a balance of $800 is calculated.

The equation representing the amount of money in the account over time is A(t) = [tex]500(1 + 0.015)^t[/tex] where t is the number of years.

To find the time it takes for the account balance to reach $800, we substitute $800 for A(t) in the equation and solve for t.

For $800 = [tex]500(1 + 0.015)^t[/tex], solving for t gives t = 7.31 years.

Answer:

B. Y-intercept

Step-by-step explanation:

Here's the proof!

Answer: b/y-intercept

Step-by-step explanation:

i did it and got it right

Answer:

c. (25,0)

Step-by-step explanation:

Hope this helps!

The maximum profit is achieved at (25, 0), which means Sal should sell 25 shorts and 0 T-shirts to maximize his profit. So, the answer is (C) (25, 0).

Profit is simply the difference between total revenue and total expenses. It shows you how much money your company made after expenses.

Profit, as the primary goal of any business, is a clear indicator of how your company is functioning and performing in the market.

To maximize the profit, we need to use the objective function, which is given by:

P = 14s + 6t

Where s is the number of shorts sold and t is the number of T-shirts sold.

The constraints are:

s + t ≤ 30 (constraint on the total number of items sold)

2s + 5t ≤ 75 (constraint on the amount of shelf space)

The feasible region is the shaded area above.

We can now evaluate the objective function at each corner point of the feasible region to find the maximum profit:

At (0, 20), P = 6(20) = 120

At (7.5, 7.5), P = 14(7.5) + 6(7.5) = 165

At (15, 15), P = 14(15) = 210

At (20, 5), P = 14(20) + 6(5) = 290

At (25, 0), P = 14(25) = 350

Therefore, the answer is (C) (25, 0).

For more details regarding profit, visit:

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Answer: C

Step-by-step explanation:

First let’s identify that:

y = the kitten

x = the cat

Part 1 : The kitten weighs 3 pounds less than half the weight of Callie's cat.

We know that the kitten is half the size of the cat, which means the equation now looks like this:

x = [tex]\frac{1}{2}[/tex]y

But we also know that the kitten is 3 less than that equation, so now the equation is:

x = [tex]\frac{1}{2}[/tex]y -3

Part 2: Together the cat and the kitten weigh 18 pounds

Now, we have to use the other statement:

y + x = 18

But, that’s not one of the options, so we have to switch the x around and make it negative.

y = -x + 18

These are your answers!

The system of equations could be used to find the weight of each animal is option C.

Since Callie has a new kitten. The kitten weighs 3 pounds less than half the weight of Callie's cat. Together the cat and the kitten weigh 18 pounds.

Here we assume the kitten be x and cat be y

So, the equation should be

[tex]y = 1\div 2x - 3\\\\[/tex]

And,

y = -x + 18

Learn more about equation here: https://brainly.com/question/10587623

Answer:

SAMPLE ANSWER

Step-by-step explanation:

When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

The median is a better measure of center than the mean in situations where the data is skewed or contains extreme outliers.

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

The median and mean are both measures of central tendency used to describe the center of a data set.

The mean is the sum of all the values in a data set divided by the total number of values, while the median is the middle value when the data set is ordered from least to greatest.

The median is a better measure of center than the mean in situations where the data is skewed or contains extreme outliers.

For example, in a data set where one or a few very large or very small values are present, the mean will be influenced by these values, and will not be representative of the central tendency of the data set as a whole.

In such cases, the median is a more appropriate measure of the center as it is not influenced by outliers and better represents the "typical" value in the data set.

Thus,

When a data set is skewed or contains outliers, the median is a better measure of the center than the mean.

Learn more about the median here:

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Answer:

A

Step-by-step explanation:

Step-by-step explanation:

We need to find the volume of the pyramid. The volume of a square pyramid is denoted by: , where B is the base area and h is the height.

Here, we know that the height of the pyramid is 12 and that the square base has dimensions 10 by 10. That means the base area is just 10 * 10 and the height is h = 12.

Plug these into the equation:

Thus, the answer is A.

Hope this helps!

The empirical rule tells us that approximately 99.7% of data in a normal distribution falls within three standard deviations of the mean. The lifespan of 32.2 years is three standard deviations from the mean lifespan of zebras in the zoo, so the probability of a zebra living less than 32.2 years is about 99.7%, which is very high.

To the lifespan of zebras being normally distributed, with a mean of 20.5 years and a standard deviation of 3.9 years.

To estimate the probability of a zebra living less than 32.2 years, we can use the empirical rule, also known as the 68-95-99.7 rule. This rule states that for a normal distribution:

Approximately 68% of the data falls within one standard deviation of the mean (both above and below).

About 95% fall within two standard deviations.

Almost all, or 99.7%, fall within three standard deviations.

To find the probability of a zebra living less than 32.2 years, we first calculate how many standard deviations away from the mean this is, which is called the z-score.

The difference between 32.2 and the mean is 32.2 - 20.5 = 11.7 years.

Dividing this by the standard deviation of 3.9 years, we get a z-score of approximately 3, indicating that 32.2 years is three standard deviations above the mean.

According to the empirical rule, the probability of a zebra living less than 32.2 years would include almost all of the distribution or approximately 99.7%.

Therefore, the probability of a zebra living less than 32.2 years is very high, close to 100%.

Answer:

b

Step-by-step explanation:

thats the answer ^^^

Answer: n=6

Step-by-step explanation:

(24 divided by 8)x2