If you deposit $2000 in an account earning 3% interest compounded monthly, how much will you have in the account in 20 years?

The statement that is equivalent to |6x-3|=3 is: 6x-3=3 or 6x-3=-3

For the equation to be true, two scenarios need to be considered:

When the expression 6x-3 is positive and equals 3:

6x-3 = 3

When the expression 6x-3 is negative and equals -3:

6x-3 = -3

By solving these two equations, we can find the equivalent statement:

Solving 6x-3 = 3:

Adding 3 to both sides gives us:

6x = 6

Dividing both sides by 6:

x = 1

Solving 6x-3 = -3:

Adding 3 to both sides gives us:

6x = 0

Dividing both sides by 6:

x = 0

Therefore, the equivalent statement to |6x-3|=3 is:

6x-3=3 or 6x-3=-3, which can be further simplified to:

6x-3=3 or 6x-3=-3

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Answer:

the 3rd option

Each person will have 2 slicles in total from 6 pieces.

Answer:

4 peco or slices this may not be right

x² + x² = 4

2x² = 4

x² = 2

x=√2

hope it helps

Answer:

Mark as brainlest ?

Step-by-step explanation:

Answer:

Step-by-step explanation:

The probability of Kim winning the big prize is 1/30 since there is only one Kim out of 30 students. Once Kim's name is drawn, there are only 29 students left in the hat, so the probability of Steve winning the little prize is 1/29. To find the probability of both events happening together, we multiply the individual probabilities:P(Kim wins big prize) * P(Steve wins little prize) = (1/30) * (1/29) = 1/870Therefore, the probability of Kim winning the big prize and Steve winning the little prize is 1/870.

Answer:

Step-by-step explanation:

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

Answer:

A.), C.), D.) are true

Step-by-step explanation:

Use the properties of exponents.

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

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Answer:

3cm+2cm+5cm=10cm

%=100

10*10=100

2cm*10=20%

Step-by-step explanation:

the shaded area is width of 2 2/10 or 20/100

Answer:

33%

Step-by-step explanation:

for if u want to do it 4cm then

4+3+3=10

100π cm^2

49π cm^2

16π cm^2

49π - 16π = 33π

33/100 =33%

Given:

The function is

\(f(x)=x^3-2\)

The secant line passing through (-4,f(-4)) and (2,f(2)).

To find:

The equation of the secant line.

Solution:

We have,

\(f(x)=x^3-2\)

At x=-4,

\(f(-4)=(-4)^3-2\)

\(f(-4)=-64-2\)

\(f(-4)=-66\)

At x=2,

\(f(2)=(2)^3-2\)

\(f(2)=8-2\)

\(f(2)=6\)

The secant line passes through the points (-4,-66) and (2,6). So, the equation of the secant line is

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

\(y-(-66)=\dfrac{6-(-66)}{2-(-4)}(x-(-4))\)

\(y+66=\dfrac{6+66}{2+4}(x+4)\)

\(y+66=\dfrac{72}{6}(x+4)\)

On further simplification, we get

\(y+66=12(x+4)\)

\(y+66=12x+48\)

\(y=12x+48-66\)

\(y=12x-18\)

Therefor, the equation of the secant line is \(y=12x-18\).

Answer:

5/6 quarts of water

Step-by-step explanation:

2/3 same as 4/6. 4/6 + 1/6 = 5/6

Answer:

No solution

Step-by-step explanation:

Given equation is
5a - 10 = 2a -7 + 3a

On  the right side add the a terms together
5a - 10 = 2a + 3a - 7

5a - 10 = 5a - 7

Since we have 5a on both sides, these cancel out giving the absurdity

-10 = -7

This result indicates the equation has no solution

1) 250÷125=2×100=200%

2) 9÷45= 0.2×100= 20%

3) 100÷250=0.4×100=40%

4) 75÷300=0.214×100=21.4%

Parall lines have same slopes

You must find the slope of the given equation

Put the equation in the form of y = mx + b, where m is the slope

y - 3x = 1

Add 3x to both sides

y - 3x + 3x = 1 + 3x

y = 1 + 3x

m = 3

Look for the equation which have coefficient of x = 3

The number of combinations that can be made among eight people is given as follows:

56 combinations.

As there are different roles, the order is important, hence the permutation formula is used to solve this question.

The number of possible permutations of x elements from a set of n elements is given by:

\(P_{(n,x)} = \frac{n!}{(n-x)!}\)

For this problem, two people are selected from a set of 8, hence the number of combinations is given as follows:

P(8,2) = 8!/6! = 8 x 7 = 56 combinations.

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Answer:

False

Step-by-step explanation:

Brainliest please?

Answer:

D. Bimodal

Explanation:

The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is

D. Bimodal.

Answer:

C-8

Step-by-step explanation:

5 games they each play each other they continue if each team wins then they continue to play to 8 games

Answer:

The answer to your problem would be 10

Step-by-step explanation:

There are 5 teams. So, if each team has to play each other twice, 5x2=10.

Each team plays twice....I think I did that right. I'm really sorry if it's not right.

Answer:

A.) 48°

Step-by-step explanation:

There is a right angle and an angle of 42°

Therefore

x=180-90-42. (sum of int angles of triangle)

x=48°

Answer:

(A) 48

Step-by-step explanation:

Triangles have 180°, so all you have to do is subtract the numbers you already know from 180.

180-42 = 138

The square on the left corner means that degree is a right angle. Right angles are always 90°.

138-90 = 48 degrees

If I helped at all please give brainliest! :)

The ratio of the length of a tile in the model to the length of an actual tile is 1/8.

The ratio of the area of a tile in the model to the area of an actual tile is 1/64.

From the information, it should be noted that in the model, each tile has length 1/3in and width 1/4 in and the actual tiles have length 1/4 ft and width 3/16ft .

The ratio of the length of a tile in the model to the length of an actual tile will be:

= 1/4 ÷ 2

= 1/4 × 1/2

= 1/8

The ratio of the area of a tile in the model to the area of an actual tile is (1/4 × 1/6) / (2 × 4/3)

= 1/64

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91/25, 3.92, 3.928, 2 13/20

im pretty sure this is correct AND IM RLY SRY IF IT ISN’T

The remainder theorem indicates that remainder when the polynomial x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) is 8

The remainder theorem specifies the relationship between the division of a polynomial by a linear factor to the value of the polynomial at a specified point

The remainder when the polynomial expression; x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by x - 1, can be found using the remainder theorem by plugging in x = 1 in the function as follows;

f(1) = 1⁵ - 3 × 1⁴ - 2 × 1³ - 5 × 1² + 5 × 1 + 12 = 8

The remainder when x⁵ - 3·x⁴ - 2·x³ - 5·x² + 5·x + 12 is divided by (x - 1) therefore is 8

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Answer:

(4,5)

Step-by-step explanation:

Each friend had originally 13 action figures before buying 11 more.

Given that there are 5 friends and each of them has x action figures in his or her collection. When they buy 11 more action figures, the total number of action figures they will have is 120.

a) We need to find an equation that models the problem. Let x be the original number of action figures that each friend had.

Therefore, the total number of action figures that each friend will have after purchasing 11 more is x + 11.

The total number of action figures will be 5(x + 11) = 5x + 55.

Now, according to the problem,5x + 55 = 120

This is our equation that models the problem.

b) We have to solve the equation 5x + 55 = 120 to find the original number of action figures, x, that each friend had before buying 11 more action figures.

5x + 55 = 120

5x = 120 - 55 (subtract 55 from both sides)

5x = 65x = 13

Therefore, each friend had originally 13 action figures before buying 11 more.

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9514 1404 393

Answer:

  54°, 90°, 108°, 126°, 162°

Step-by-step explanation:

The sum of angles in a pentagon is 180°(5 -2) = 540°.

The sum of ratio units is 3 +5 +6 +7 +9 = 30. So, each "ratio unit" stands for ...

  540°/30 = 18°

Then the angles are found by multiplying the given ratios by 18°:

  3 : 5 : 6 : 7 : 9 = 54° : 90° : 108° : 126° : 162°

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

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