Kelly deposited $4,205 in an account for 3.5 years. She earned $662.29 in interest. What interest rate did the bank pay her?

If total cost of a pair of shoes and jacket is $46 and cost of shoes is $8 more than cost of jacket, cost of shoes is $27 and the system of equations to determine the cost of the shoes are x - y = 8 and x + y = 46.

Let the cost of the shoes be x and the cost of the jacket be y in dollars. As cost of shoes is $8 more than the jacket,

x = y + 8

Therefore, x - y = 8    (1)

Also the total cost of the shoes and jacket is $46, therefore

x + y = 46    (2)

Adding (1) and (2) we get

2x = 54

x = 27

Therefore, cost of shoes is $27.

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let the pounds be 12

the cost = 12× 6

= 72 dollars

Answer:

B.) The interquartile range of the data is 2

Step-by-step explanation:

I think you mean \(\frac{1}{6}\) (12,-2) so what is your question?

Answer:

$300.00

Step-by-step explanation:

Answer:

The slope is 3, the function in the table has a slope of 3.5

Step-by-step explanation:

For the equation, you can just look at the number before x for the slope. For the table, you need to form an equation. (1,5.5) (2,9) are the points that I would use. The equation is y=3.5x-2, the slope is 3.5.

The function in the table has greater rate  of change .

Given,

Line equation : y = 3x - 6

Tabular data .

Now,

In line,

y = 3x - 6

Compare it with the standard form of line

y = mx + c

Hence the slope of line is 3 .

Now the slope of table,

m = y2 - y1 /x2 - x1

m = 9 - 5.5 / 2 - 1

m = 3.5

Slope of table is 3.5 .

Thus the table data has greater slope and thus have a greater rate of change than the line .

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After considering the deposits and withdrawals, the account balance at the end of the month is $64.23.

To calculate the account balance at the end of the month, we need to add up all the deposits and withdrawals. The negative values represent withdrawals, while the positive values represent deposits.

Starting with an initial balance of $19.96, we can calculate the final balance by adding the amounts of the deposits and subtracting the amounts of the withdrawals.

Starting balance: $19.96

Deposits: $90.95, $11.16

Withdrawals: -$28.51, -$41.34, -$88.95

Adding the deposits: $19.96 + $90.95 + $11.16 = $122.07

Subtracting the withdrawals: $122.07 - $28.51 - $41.34 - $88.95 = $64.23

Therefore, the account balance at the end of the month is $64.23.

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Answer: it;s D..........................

Answer: D

Step-by-step explanation:

A quadrilateral is a four sided figure, a rectangle is a parallelogram having two parallel sides. It is not a trapezoid —> quadrilateral with only one pair of parallel sides. this shape has two parallel sides.

The approximate speed of sound will be 12 miles per minute.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula is given as,

Speed = Distance/Time

Sound can travel incredibly quickly: 1 mile in about 1/12 of a minute.

Based on that, the approximate speed of sound will be

Speed = 1 / (1/12)

Speed = 1 x 12

Speed = 12 miles per minute

The approximate speed of sound will be 12 miles per minute.

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The solution is: the following defines slope, the answer will be A,D and F.

The formula to calculate the slope is

m = y2-y1/x2-x1

A is right.

then, we have,

also, the slope can be calculated with rise and run

i.e. rise over run

m = rise/run

the correct formula is B.

and also apply F

ratio of change in y values (rise) for a segment of the graph to the corresponding change in x values (run)

F is correct.

the answer will be A,D and F.

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Answer: x = 59

Step-by-step explanation:

Answer:

To three decimal places, The process capability index is 0.167

Step-by-step explanation:

We have to find the process capability index,

Upper specification = 16.5 ounces,

Lowe specification = 15.5 ounces

Mean = 16.0 ounces

Standard Deviation = S = 1 ounce

process capability index = (upper specification - lower specification)/6S

process capability index = (16.5 - 15.5)/6(1)

= 1/6

Process capability index = 1/6 = 0.16666667

To 3 decimal places, we get,

Process capability index = 0.167

Applying the alternate interior angles theorem, the measure of angle FBC is determined as: 67°.

If two angles are alternate interior angles formed along a transversal on two parallel lines, then their measures are congruent or the same.

Angles on a straight line are angles that lie along a straight line, and the sum of the angles equals 180 degrees.

Given the following:

m∠BFC = 75°

m∠GFC = 38°

∠EFB, ∠BFC,  and ∠GFC are angles on a straight line, therefore:

m∠EFB = 180 - m∠BFC - m∠GFC

Plug in the values

m∠EFB = 180 - 75 - 38

m∠EFB = 67°

Find the measure of angle FBC:

Angles FBC and EFB are alternate interior angles, therefore:

m∠FBC = m∠EFB = 67° [alternate interior angles theorem]

m∠FBC = 67°

In summary, using the alternate interior angles theorem, the measure of angle FBC is determined as: 67°.

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Step-by-step explanation:

5 +0.24 = 5 + 24 = 12 = 6

100 50 25

= 5 6

25

Answer:

i tink it is store A

Step-by-step explanation:

because it has the large medium value.. hope this answer helpes you..

Answer:

the answer is B. Store B

If there are 450 grams of element and half life is 8 minutes, then it will take 28.83 minutes the element to decay to 37 grams

Half life of radio active element = 8 minutes

Initial quantity of radio active element = 450 gram

Final quantity of radio active element = 37 grams

y = a(0.5)^(t/h)

Substitute the values in the equation

37 = 450 (0.5)^(t/8)

Move 37 to left hand side of the equation

37 / 450 = 0.5^(t/8)

Convert the terms to logarithm

t/8 = \(log_{0.5}\frac{37}{450}\)

t/8 = 3.60

t = 8 × 3.60

Multiply the numbers

t = 28.83 minutes
Therefore, the it will take 28.83 minutes to decay to 37 grams

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Answer:

(i) False

(ii) Selecting a 5 or a spade are not independent.

Step-by-step explanation:

(i)

Independent events are those events that occur at the same time, i.e. the occurrence of one event does not effects the occurrence of the other.

If A and B are independent events then: \(P(A\cap B)=P(A)\times P(B)\)

Whereas as if two events are mutually exclusive, then the probability of them both taking place at the same time is 0.

Then for events A and B: \(P(A\cap B)=0\)

Thus, the statement is False.

(ii)

In a standard deck of 52 cards there are:

Spades = 13

Diamond = 13

Heart = 13

Clubs = 13

And each of these 13 cards are:

K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A

If a card labelled as 5 is selected then it could also be a Spade.

And if a spade is selected then the card could be labelled as 5.

So, selecting a 5 or a spade are not independent.

Answer:

Examples of obedience in daily society involve driving to the left (or to the right depending on the country), inviting other people to the road with a 'hello' when we see them.

Step-by-step explanation:

Hope this helps

The total number of apples and oranges that they place in a bowl is given as follows:

19 fruits.

The total number of apples and oranges that they place in a bowl is obtained applying the proportions in the context of the problem.

We have that Oliver's ratio is given as follows:

Apples/Oranges = 2/3.

He placed 6 oranges, hence the number of apples is given as follows:

A/6 = 2/3

3A = 12

A = 4.

Mike's ratio is given as follows:

Apples/Oranges = 1/2.

He placed 6 oranges, hence the number of apples is given as follows:

A/6 = 1/2

2A = 6

A = 3.

Then the total number of fruits is given as follows:

6 + 4 + 6 + 3 = 19 fruits.

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Answer:

The solution to the system of equations be:

(x, y) = (15, -25)

Therefore, the fourth system of equations i.e. 2x+y=5 and 2x – y=55 has the ordered pair (15, – 25) as its solution.

Step-by-step explanation:

Let us solve and check the 4th system of equations

2x+y=5

2x – y=55

solving the system of equations

\(\begin{bmatrix}2x+y=5\\ 2x-y=55\end{bmatrix}\)

subtracting

\(2x-y=55\)

\(-\)

\(\underline{2x+y=5}\)

\(-2y=50\)

so the system of equations becomes

\(\begin{bmatrix}2x+y=5\\ -2y=50\end{bmatrix}\)

solve -2y = 50

\(-2y=50\)

Divide both sides by -2

\(\frac{-2y}{-2}=\frac{50}{-2}\)

\(y=-25\)

\(\mathrm{For\:}2x+y=5\mathrm{\:plug\:in\:}y=-25\)

\(2x-25=5\)

Add 25 to both sides

\(2x-25+25=5+25\)

Simplify

\(2x=30\)

Divide both sides by 2

\(\frac{2x}{2}=\frac{30}{2}\)

simplify

\(x=15\)

Thus, the solution to the system of equations be:

(x, y) = (15, -25)

Therefore, the fourth system of equations i.e. 2x+y=5 and 2x – y=55 has the ordered pair (15, – 25) as its solution.

Answer:

10.35

Step-by-step explanation:

The given triangle is a right angled ∆ .The data given is ,

We can use ratio of cosine here , as ,

=> cos∅ = b/h

=> cos 63° = x/23

=> 0.45 = x/23

=> x = 23 × 0.45

=> x = 10.35

Answer:

20/27

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

The possible outcomes for each match are win, lose, or tie. Therefore, there are three possible outcomes for each of the two remaining matches.

Thus, the total possible number of outcomes for the season is the product of the number of outcomes in each match. That is, 3 × 3 = 9

Therefore, there are 9 possible outcomes for the season.

Answer:

$200

Step-by-step explanation:

Given :

Cost of blender + import duty = $240

Import duty = 20% of cost price

Let :

Cost of blender = x

Import duty = 20% of x = 0.2x

Therefore,

x + 0.2x = $240

1.2x = 240

x = 240 / 1.2

x = $200

Cost of blender = $200

Answer:

C

Step-by-step explanation:

Each input value can have only one output value for it to be a function. In other words, there should only be one y value for each x value. The only option that satisfies this is C.

Answer:

im pretty sure its A bc he just got a 5.0 rating and a thanks also i just got a 100% so thx to you for letting me get a try and thx to you above with a 5.0 rating

Step-by-step explanation:

Answer:

6 feet

Step-by-step explanation:

8×8+x×x=10×10

x×x=100-64

x=6

Answer:

2430kg

Step-by-step explanation:

3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430