Kika and Mato each took out a loan for $5,000 from the bank. Kika has an interest rate of 5. 2%, and he plans to repay the loan in 5 years. Mato has an interest rate of 7. 5%, and he plans to repay the loan in 24 months. Who will pay more in interest, and about how much more will he pay?



A:Kika; $300


B:Kika; $700


C:Mato; $700


D:Mato; $300

Answer:13.5

Step-by-step explanation:

13.5

The simplified expression is C)  \(\frac{1}{\sqrt{3x}}\).

Mathematical expressiοns cοnsist οf at least twο numbers οr variables, at least οne arithmetic οperatiοn and a statement. It's pοssible tο multiply, divide, add, οr subtract with this mathematical οperatiοn. Unknοwn variables, integers, and arithmetic οperatοrs are the cοmpοnents οf an algebraic expressiοn. There are nο symbοls fοr equality οr inequality in it

Here the given expression is \(\frac{3x}{(3x)^{\frac{3}{2}}}\)

We know that \(\frac{a^x}{a^y} = a^{x-y}\) then

=> \((3x)^{1-\frac{3}{2}}\)

=> \((3x)^{\frac{2-3}{2}}\)

=> \((3x)^{\frac{-1}{2}}\)

=> \(\frac{1}{(3x)^{\frac{1}{2}}}\)

=> \(\frac{1}{\sqrt{3x}}\)

Hence the simplified expression is C)  \(\frac{1}{\sqrt{3x}}\).

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Answer:

x = 12

Step-by-step explanation:

Leg 1 = 9

Leg 2 = x

Hypotenuse = 15

Using Pythagorean Theorem;

A² + B² = C²

9² + x² = 15²

81 + x² = 225

x² = 225 - 81

x² = 144

x = \(\sqrt{144}\)

x = 12

Hope this helps!

Answer:

x ≈ 12

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 9² = 15²

x² + 81 = 225 ( subtract 81 from both sides )

x² = 144 ( take the square root of both sides )

x = \(\sqrt{144}\) = 12

Answer:

D

Step-by-step explanation:

f(x) =x(x-9)

X(x-9)=0

X2-9x=0

X2-9x+0=0

(X2-9X)

x(x-9)=0

X-9=0

X=9

X+0=0

X=0

The measures of the angles of the rhombus are 106 degrees and 74 degrees.

To find the measures of the angles in the rhombus with the given condition, follow these steps:
1. Let the two angles between a side and the diagonals be x and y. According to the given information, the difference between these angles is 32 degrees, so we can write the equation:

x - y = 32.
2. In a rhombus, the diagonals are perpendicular bisectors of each other. This means that the diagonals divide the rhombus into four congruent right triangles.
3. Since the diagonals bisect the angles of the rhombus, we know that x + y = 180 (the angles are supplementary).
4. Now we have a system of two linear equations:
  x - y = 32
  x + y = 180
5. Add the two equations to eliminate the y variable:
  2x = 212
6. Divide both sides by 2 to find the value of x:
  x = 106
7. Substitute the value of x back into one of the equations to find the value of y (using x + y = 180):
  106 + y = 180
8. Solve for y:
  y = 74
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Answer:

(0, - 3.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ \(\frac{1}{2}\) (x₁ + x₂ ), \(\frac{1}{2}\) (y₁ + y₂ ) ]

Here (x₁, y₁ ) = A(- 5, - 4) and (x₂, y₂ ) = B(5, - 3)

midpoint = [ \(\frac{1}{2}\) (- 5 + 5), \(\frac{1}{2}\) (- 4 - 3 ) ] = (\(\frac{1}{2}\) (0), \(\frac{1}{2}\) (- 7) ) = (0, - 3.5 )

Answer:

−8 −1

Step-by-step explanation:

Answer:

-17 9/10

Step-by-step explanation:

Acute triangle is the answer

An acute triangle has three acute angles (less than 90 degrees)

An obtuse angle has one obtuse angle (greater than 90 degrees)

A right triangle would have a perfect 90 degree angle

An equiangular triangle would have all equal angles.

Hope this helps!

In symbolizing truth-functional claims, the word "if" is used to introduce the consequent of a condition, while the phrase "only if" represents the antecedent.

Symbolizing truth-functional claims involves representing statements or propositions using logical symbols. When using the word "if" in a truth-functional claim, it typically introduces the consequent of a conditional statement. A conditional statement is a type of proposition that states that if one thing (the antecedent) is true, then another thing (the consequent) is also true. For example, the statement "If it is raining, then the ground is wet" can be symbolized as "p → q," where p represents "it is raining" and q represents "the ground is wet."

On the other hand, the phrase "only if" is used to represent the antecedent in a truth-functional claim. In a conditional statement using "only if," it states that if the consequent is true, then the antecedent must also be true. For example, the statement "The ground is wet only if it is raining" can be symbolized as "q → p," where p represents "it is raining" and q represents "the ground is wet."

In summary, when symbolizing truth-functional claims, the word "if" introduces the consequent of a condition, while the phrase "only if" represents the antecedent. These terms help express the relationships between propositions in logical statements.

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Answer:

y= 3x -5

Step-by-step explanation:

since when x is 0, and y is -5, you know that the y intercept is -5.

look at the table

1x -5 = -2

x= 3

Boom.

LONG LIVE KOREA!

We can write each ratio as a decimal to four places as follows:

To express the ratio as a decimal, we have to find the equivalents of the trigonometric functions given the values in the shapes shown. For sin C, we have the opposite divided by the hypotenuse, in which case, we have 8/17.

sin C = AB/BC  opposite/hypotenuse = 8/17 = 0.4706

cos C = AC/BC adjacent/hypotenuse = 15/17 = 0.8824

tan B = AB/AC = opposite/adjacent 8/15 = 0.5333

tan C = AB/AC = opposite/adjacent 8/15 = 0.5333

cos B = BC/AC = adjacent/hypotenuse 17/15 = 1.1333

sin B = AC/BC = opposite/hypotenuse 15/17 = 0.8824

The decimal form of this number is 0.4706 and to get the angle, we do the sine inverse. Thus we have

Sine inverse 0.4706 = 28°

Cos inverse 0.8824 = 27.8°

Tan inverse 0.5333 = 28°

Tan inverse 0.5333 = 28°

Cos inverse 1.1333 = 0°

Sine inverse 0.8824 = 61.9°

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Answer:

rational

rational

irrational

rational

irrational

Step-by-step explanation:

The linear function for this problem is defined as follows:

y = x + 50.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph touches the y-axis at y = 50, hence the intercept b is given as follows:

b = 50.

When x increases by 10, y also increases by 10, hence the slope m is given as follows:

m = 10/10

m = 1.

Hence the function is given as follows:

y = x + 50.

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Answer:

yes

Step-by-step explanation:

aeb goes in a triangular angle

Answer:

124

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180:

m<R + m<S + m<T = 180

11x + 3 + x + 15 + 2x + 8 = 180 add like terms

14x + 26 = 180 subtract 26 from both sides

14x = 154 divide both sides by 14

x = 11 to find m<R replace x with 11

11*11 + 3 = 124

Apply angle sum property

\(\\ \rm\rightarrowtail 11x+3+x+15+2x+8=180\)

\(\\ \rm\rightarrowtail 14x+26=180\)

\(\\ \rm\rightarrowtail 14x=154\)

\(\\ \rm\rightarrowtail x=11\)

Step-by-step explanation:

12x2=24

4x2=8

3x2=6

Adding,

24+8+6=38 which is not equal to 32

Therefore, they do not have same surface area

Answer:

6/20, 15/50, 9/30, 30/100, 12/40, 18/60....

Step-by-step explanation:

Its just multiplying the fraction by any whole number.

Make sure to do both the numerator and the denominator!

(hope this helps)

Answer:

254.5

Step-by-step explanation:

area of circle = pi (3.142) x 9squared

answer 254.5 or 81 pi

The area of one side of the rectangular wooden board is (209 ± 4.9) cm², taking into account the uncertainty.

To calculate the area of the rectangular wooden board, we multiply its length by its width. The length is given as (21.4 ÷ 0.4) cm, which simplifies to 53.5 cm. The width is given as (9.8 ± 0.1) cm, indicating that it could be as low as 9.7 cm or as high as 9.9 cm.

To find the minimum area, we multiply the minimum length by the minimum width: 53.5 cm × 9.7 cm = 518.95 cm².

To find the maximum area, we multiply the maximum length by the maximum width: 53.5 cm × 9.9 cm = 528.65 cm².

Therefore, the area of one side of the rectangular wooden board is between 518.95 cm² and 528.65 cm². Taking the average of these values, we get (518.95 cm² + 528.65 cm²) / 2 = 523.8 cm².

To calculate the uncertainty in the area, we take half of the difference between the maximum and minimum areas: (528.65 cm² - 518.95 cm²) / 2 = 4.9 cm².

Thus, the area of one side of the rectangular wooden board is (209 ± 4.9) cm², taking into account the uncertainty.

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Answer:

x = 15/2

Step-by-step explanation:

-4x + 4 + 6x = 34 - 2x

2x + 2x = 34 - 4

4x = 30

x = 30/4

x = 15/2

Answer:

175 tickets

Step-by-step explanation:

The total cost is 875

y = mx

The y is the total cost.  The m is the cost of a ticket and x is the number of tickets that need to be sold

875 = 5x  Divide both sides by 5

175 = x

Helping in the name of Jesus.

Answer:7  tickets

because 625+250 is 875 ..875/25=35

each ticket is $5 and 35/5 is 7

Answer:

We can factor out a 4x from the numerator and a 2 from the denominator, which gives:

(4x(x+1)) / 2( x^2 - 1)

We can then factor the denominator further using the difference of squares formula, which gives:

(4x(x+1)) / 2(x+1)(x-1)

Simplifying this expression further, we can cancel out the (x+1) terms in the numerator and denominator, which gives:

2x / (x-1)

Therefore, 4x^2 + 4x / 2x^2 - 2 simplifies to 2x / (x-1).

Answer:

3800

Step-by-step explanation:

342 is the 9 percent that have shown up. If you divide that by nine you would get on percent of the total which comes out to be 38. so you multiply 38 by 100 and get 3800 which is 100% of the tickets sold.

Answer:

Coraline's ordinary world consists of being bored and lonely while in her other world, it revolves around her and her happiness and desires. Her life with her ordinary family is difficult and boring to her but her other family finds ways to meet her expectatins and desires. In the other world, Coraline finds that everything is very fun and just how she likes it and that appeals her desires.

Step-by-step explanation: