A saving account earns 2% each week, compounded. What is the equivalent yearly
interest rate?

Answer:

1. 4/5+2/3=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(4/5, 2/3) = 15

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(45×33)+(23×55)=?

Complete the multiplication and the equation becomes

12/15+10/15=?

The two fractions now have like denominators so you can add the numerators.

Then: 12+10/15=22/15

This fraction cannot be reduced. The fraction

22/15 is the same as 22÷15

Convert to a mixed number using long division for 22 ÷ 15 = 1R7, so

22/15=17/15

Therefore: 4/5+2/3=17/15

Solution by Formulas Apply the fractions formula for addition, to 4/5+2/3 and solve

(4×3)+(2×5)/5×3

=12+10/15

=22/15 Convert to a mixed number using long division for 22 ÷ 15 = 1R7, so 22/15=17/15 Therefore:4/5+2/3=1  7/15

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1.

2.

3.

4.

Answer:

19.5959179423 or when simplified, 19.6

Step-by-step explanation:

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

The possible values for the discriminant include the following:

A. -1

D. -18

In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.

Discriminant, D = b² - 4ac

In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.

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Complete Question:

The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.

A. -1

B. 3

C. 0

D. -18

Answer:

B

Step-by-step explanation:

Perpendicular to y=5x+3, slope should be -1/5.

y+1=-1/5(x-2)

B is correct

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Answer:

5 chairs

Step-by-step explanation:

because 40 divided by 8 is 5

Answer:

there are 5 rows

Step-by-step explanation:

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer: Look below=3 I hope this helps. Also please forgive me if it's wrong.

Step-by-step explanation: All multiples of 4 are also multiples of 2. This is because 4 is in the two times table and all multiples of 4 can be divided by 2. All multiples of 4 are even.

Answer:

25 kilograms

Step-by-step explanation:

Answer:

The answer to this question is B

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

i took the test

y = - 0.5x + 5.5 is the equation of a line perpendicular to line CD in slope-intercept form that passes through the point (−1, 6).

The slope-intercept form of a straight line is y = mx + c.

Here, x and y are coordinates, m is the slope and c is the y-intercept of the line.

Given, two points are C(1, 1) and (3, 5).

Therefore, equation of the line CD is:

\(\frac{x - x_{1} }{y-y_{1} }\) = \(\frac{x_{1}-x_{2}}{y_{1}-y_{2}}\)

⇒ \(\frac{x - 1}{y-1}\) = \(\frac{1-3}{1-5}}\)

⇒  \(\frac{x - 1}{y-1}\) = \(\frac{-2}{-4}}\)

⇒2(x - 1) = (y - 1)

⇒ y = 2x - 1

Let, line AB is perpendicular to the line CD and passes through the point (-1, 6).

Therefore, slope of the line CD is = 2.

We know, slope of CD × slope of AB = -1

Therefore, slope of AB = -1 / slope of CD = \(-\frac{1}{2}\).

Now, line AB has a slope of \(-\frac{1}{2}\) and passes through the point (-1, 6).

Therefore, equation of the line AB is:

(y - y₁) = m(x - x₁)

⇒ [y - (6)] = \(-\frac{1}{2}\)[x - (- 1)]

⇒ 2(y - 6) = (-x - 1)

⇒ 2y - 12 + x + 1 = 0

⇒ x + 2y = 11

⇒ y = - 0.5x + 5.5

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

9 : 7

Step-by-step explanation:

4.5 : 3.5 are decimals so we can multiply them both by 2 to get whole numbers. 4.5 doubled is 9 and 3.5 doubles is 7. Therefore the ratio becomes 9:7

Answer:

U are finding the slope. so the vertical line is ur rise(x value) and the horizontal line is ur y value. Hopefully that helped

The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

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The question is incomplete. The complete question will be -

Answer:

(1,2) (4,5)

Step-by-step explanation:

Answer:i dont know

Step-by-step explanation:

Note that the notation   "∪C = {x : x ∈ for some S ∈ C} = ∪ { S:S ∈ C}" represents a mathematical statement involving sets.

∪C : This represents the  union (∪) of the sets in C.

{x : x ∈ for some S ∈ C}: This is the description or definition of the elements in the set formed by the union of sets in C.

It states that an element x belongs to the union of   sets in C if and only if x belongs to at least one set S that is an   element of the set C.

= ∪{ S:S ∈ C}   : This means that the union (∪) of sets in C is equal to the union of all sets S that belong to the set C.

In summary,  the statement is saying that the union of sets in C consists of all elements that belong to at least one set in C. It is the combined collection of elements from all sets in C.

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Answer:  4

Step-by-step explanation:

Answer:

A,

B

Step-by-step explanation:

If it's a 15 dollar variable fee and a flat 10 our equation looks like this

15c+10

which is the same as A

Now that we know the equation we can just plug a couple of numbers in

when c=3 what is h

15(3)+10=

55

THerefore the answer is B

Answer:

13) A

14) B

Step-by-step explanation:

For number 13 the answer is A because it says he gets charged 15 dollars per hours PLUS the 10 doller traveling fee. So basically:  15 charge + 10 travel fee = hour.

Now for number 14 we know the answer just from the first part. If its three hours then we need to multiply 15 dollars by 3 because like they said, he charges 15 dollars PER HOUR. 15 times 3 equals 45. But thats not all. We need to add 10 dollars to that because of the travel fee. 45 plus 10 equals 55. And the only table that shows 55 dollars is B so we already know the answer without doing the rest.

As a result, the triangle's angles are measured at 37 degrees, 74 degrees, and 69 degrees.

When two straight arcs or beams intersect at a single terminus, an angle is created. The apex of an arc is the location where two points come together. The Latin term "angulus," which means "corner," is where the word "angle" originates.

Let's call the second angle "x".

From the problem statement, we know that:

The total of the three angles in a triangle is always 180 degrees.

So we can set up an equation:

x + 2x + (3x - 42) = 180

Simplifying and solving for x:

6x - 42 = 180

6x = 222

x = 37

Therefore, the second angle measures 37 degrees.

To find the other two angles, we can substitute x = 37 into the expressions we found earlier:

One angle measures 2x = 2(37) = 74 degrees.

The third angle measures 3x - 42 = 3(37) - 42 = 69 degrees.

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We can model the radius function, R(t), with respect to time.

The initial radiusis 5 cm and it increases 7 cm /second, so we can write:

• At ,t = 4 ,second, the radius is:

We can find the area of the spotlight by substituting r = 33 into the circle area formula. This is shown below:

• At ,t = 7 ,second, the radius is:

We can find the area of the spotlight by substituting r = 54 into the circle area formula. This is shown below:

120 is the least common multiple of 8 and 15.

A number system is defined as a system of writing to express numbers.

To find the least common multiple (LCM) of 8 and 15, we can list their multiples until we find the smallest one that they have in common:

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...

Multiples of 15: 15, 30, 45, 60, 75, 90, ...

The first multiple that appears in both lists is 120, which is the least common multiple of 8 and 15. Therefore, the LCM of 8 and 15 is 120.

Hence, 120 is the least common multiple of 8 and 15.

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Answer: KL = KN LM=NO=9 Side-Side-Side

Step-by-step explanation:

The required answers to the question is given below.

Triangle congruence: If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create a similar appearance. They are in alignment with one another when moved. "≅" is the congruence symbol.

Use the following figure to understand the answer.

The Proof is

1. KM=KO=5 (GIven)

2. MN=3 (Given)

3. KN=KM+MN=8 (because the lengths are equal to the sum of their parts.)

4. KL=8 (Given)

5. KL=KN (from 3,4 substitution)

6. NO=ML=9 (Given)

7. ΔKLM=ΔKNO the congruence criterion used is SSS congruence.

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Answer:

no

Step-by-step explanation: