I need help, I don't know how to solve this.

The money will she have after four years is $276.26, the correct option is D.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Given

Sophia puts $250 in the bank with a 2.5% annual interest rate compounded monthly.

The compound interest is given by;

[tex]\rm Amount = Principal ( 1+\dfrac{Rate }{12})^{12\times Time}[/tex]

Substitute all the values in the formula

[tex]\rm Amount = Principal ( 1+\dfrac{Rate }{12})^{12\times Time}\\\\Amount =250(1+\dfrac{0.025}{12})^{12\times 4}\\\\Amount =250(1.002)^{48}\\\\Amount = 250 \times 1.10\\\\Amount=276.26[/tex]

Hence, the money will she have after four years is $276.26.

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Answer:

E 48

Step-by-step explanation:

64 x 3/4=48

~Shoto Todoroki here~

Answer:

( n − 2 ) × 180

Step-by-step explanation:

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides.

hope this helps :))

Answer:

0

Step-by-step explanation:

It wouldn't need to travel faster

Answer:

342.7 cubic cm

Step-by-step explanation:

see image

Calculate the volumes of the cylinder and the prism. Subtract.

see image.

Volume is the amount of three-dimensional space enclosed by a closed surface. The volume of the solid is 342.655 cm³.

The amount of three-dimensional space enclosed by a closed surface is expressed as a scalar quantity called volume.

The volume of the solid is the difference between the volume of the cylinder and the volume of the square prism.

[tex]\text{Volume of the solid} =\text{Volume of the cylinder}-\text{Volume of the square prism}[/tex]

[tex]\text{Volume of the solid} =(\pi r^2 h)-(a^2 h)[/tex]

We know that the radius of the cylinder is 4 cm while the length of the side of the square prism is 4 and the height of both is 10cm. therefore, substituting the values,

[tex]\text{Volume of the solid} =(\pi\times 4^2 \times 10)-(4^2 \times 10)[/tex]

                               [tex]=4^2\times10 (\pi -1)\\\\= 342.655\RM\ cm^3[/tex]

Hence, the volume of the solid is 342.655 cm³.

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Answer:

Some of 3's

150, 180, 210, 240, 270, 300, 600, 900

Some of 4's

120, 160, 200, 240, 280, 320, 360, 400, 800

One thing these numbers have in common,

is that the 3-digit chain always ends in 1,200.

Hope this helps!!!

Answer:

42 minutes

Explanation:

Answer:I think the answer is multiplication property of equality

Step-by-step explanation:

it is being multiplied to get the answer so that should be the answer

Answer:

the answer should be the multiplication property of equality

Step-by-step explanation:

because you're multiplying

Hope this helps! :)

If rectangle has sides measuring (2x +7) units and (5x +9) units then expression that represents the area of the rectangle is [tex]10x^2+53x+63[/tex] and degree of this expression is 2 and we proved that it satisfy closure property .

A quadrilateral with four right angles is called rectangle .

Given that sides are (2x+7) and (5x+9)

Hence area of rectangle can be calculated as

[tex](2x+7)(5x+9)\\\\2x(5x+9)+7(5x+9)\\\\10x^2+18x+35x+63\\\\10x^2+53x+63\\[/tex]

Now we can see that this is a second degree polynomial

We got polynomial   [tex]10x^2+53x+63[/tex] by multiplying two polynomial (2x+7) and (5x+9) hence it's closure property .

If rectangle has sides measuring (2x +7) units and (5x +9) units then expression that represents the area of the rectangle is [tex]10x^2+53x+63[/tex] and degree of this expression is 2 and we proved that it satisfy closure property .

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Answer:

if c= 1+px^2+3p and b= 2p+6p^2 find an expression that equals 2c-b in standard form

2p² + 14p + 2

Step-by-step explanation:

Given that;

C= 1+p²+3p

B=2p+6p

The expression that equals to : 2C - -B will be;

2{1+p²+3p} - {-2p-6p}

2+2p²+6p + 2p + 6p

2p² + 6p +2p +6p +2

2p² + 14p + 2

Answer:

37 + g = 305 + f

explanation:

37 and g more means addition

305 increased by f means also addition

Form the equation

Solve it out

Answer:

16 %

Step-by-step explanation:

(24/150) . 100 = 16

Answer : True

Explanation: 24 Hours = 1 Day

Substitute 1 For The 24 Hours And You Get  2 : 1 And It Becomes True.

◊ YusuCr ◊

Answer: Supply is the total amount of goods available; quantity supplied is how much is made available at each price level.

1. quantity supplied increases

2. Supply is the total amount of goods available; quantity supplied is how much is made available at each price level.

3. perfectly inelastic

4. an artist

5. Price and quantity supplied move in the same direction; as price decreases, quantity supplied decreases and as price increases, quantity supplied increases.

Answer:

-7.34 repeating

Step-by-step explanation:

A rational number is described as a number that can be expressed as a fraction or ratio of two integers and -7.34 repeating is the only option that does not fit this description. Repeating decimals can not be rational.

Answer:  [tex]-\sqrt{14}[/tex] in the lower right corner

===========================================================

Explanation:

A rational number is any fraction like 2/3 or 7/9. Pick any two integers, divide them, and you get a rational number. Zero cannot be in the denominator.

Based on that, we can see that 129/999 is rational, which is crossed off the list of potential answers.

Furthermore, [tex]\sqrt{16} = 4 = \frac{4}{1}[/tex] is also rational since we can form a fraction of integers. Cross this off the list as well. Always try to simplify the expression as much as possible.

-----------------

When converting a fraction to decimal form, it turns out that any rational number has either two cases:

This means the number [tex]-7.\overline{34}[/tex] = -7.3434343434... is also rational, which is crossed off the list also.

----------------

The only thing left is [tex]-\sqrt{14}[/tex] which is not rational, and therefore we consider it irrational. We cannot form a fraction of integers to represent this square root value. Note how 14 is not a perfect square.

-the answer is -3

4

.....

Answer:

x = - 2

Step-by-step explanation:

Reflection across the y-axis:

( x , 6 ) ------> ( - x , 6 )

Translation 2 units right and 4 units down:

( - x , 6 ) -------> ( - x + 2 , 6 - 4 ) = ( - x + 2 , 2 )

Dilation by a factor of 2:

( - x + 2 , 2 ) ------> ( ( - x + 2 ) × 2 , 2 × 2 ) = ( 8 , 4 ) ⇒

( - x + 2 ) × 2 = 8

- 2x + 4 = 8

- 2x = 4

x = - 2

Step-by-step explanation:

Example:

[tex]2a^{-1}[/tex]

To include the negative exponent, but discard the negative exponent, the expression has to be written as:

[tex]2\frac{1}{a^{1} } \: or \:2 \frac{1}{a}[/tex]

Using the example, we can determine that:

[tex]-4x^{-1}=-4\frac{1}{x}[/tex]

Answer:Lemon-lime from Gatorade is entirely delicious, especially when chilled. It is easy to down and doesn’t leave any unpleasant aftertaste that is commonly associated with lemon-flavored drinks. As one of the original flavors of Gatorade, lemon-lime is as good as it gets. It is almost a neutral flavor and is universally liked.

Step-by-step explanation:

Using the conditional probability concept, it is found that the statement is true, as in a two-way probability table, we find the probability of each event B considering that each event A has happened.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem, considering the definition of conditional probability given above, the statement is true, as in a two-way probability table, we find the probability of each event B considering that each event A has happened.

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Answer:

SAS

Step-by-step explanation:

Y is congruent to X and T is congruent to S, the two triangles kiss each other.

Answer: Assuming 3x 30 = 3x+30, x = 15

Step-by-step explanation:

Complementary angles sum to 90.

Therefore, x + 3x + 30 = 90

4x = 60

x = 15

Answer:

x = 50°

Step-by-step explanation:

130 and x are adjacent angles on a straight line and sum to 180° , so

x + 130° = 180° ( subtract 130° from both sides )

x = 50°

Answer:

Therefore, the two equivalent ratios of 4 : 5 are 8 : 10 and 12 : 15.

Step-by-step explanation:

Answer: What is the answer choices

Step-by-step explanation:

Answer:

4 3/4 inches

Step-by-step explanation:

21 2/8 - 16 4/8 = 4 3/4

Answer:

4.2

Step-by-step explanation:

 Step-by-step explanation: