how much simple interest does 600 make in 3 years at7%per annum
​

Answer:

2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 0, 2 ], thus

f(b) = f(2) = -(2)² + 4)(2) + 2 = - 4 + 8 + 2 = 6

f(a) = f(0) = 2

average rate of change = [tex]\frac{6-2}{2-0}[/tex] = [tex]\frac{4}{2}[/tex] = 2

Answer:

The answer is y=3/4+5 (C)

Step-by-step explanation:

You have to find two exact points on the line then calculate the rise/run (3/4). 3/4 is the slope. Now all that's left is to find the y- intercept (where the line crosses the y-axis) which is 5. Which leaves you with answer choice C.

The equation of the line of best fit that Waylan drew is y=3/4 x+5. Therefore, the correct answer is option C.

From the given graph, the coordinate points are (4, 8) and (16, 17).

Here, slope (m) = (y₂-y₁)/(x₂-x₁)

= (17-8)/(16-4)

= 9/12

= 3/4

Substitute m=3/4 and (x, y)=(4, 8) in y=mx+c, we get

8=3/4 ×4+c

8=3+c

c=5

Substitute m=3/4 and c=5 in y=mx+c, we get

y=3/4 x+5

Therefore, the correct answer is option C.

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Answer:

not equivalent

Step-by-step explanation:

Given

[tex]\frac{6}{7}[/tex] = [tex]\frac{7}{9}[/tex]

If the ratios are equivalent then ib cross- multiplying the 2 sides should be equal, that is

6 × 9 should equal 7 × 7

However, 54 ≠ 49

Thus the ratios are not equivalent

Answer:

The simplified form of this expression is -2x² - 3x + 16

Step-by-step explanation:

For this problem, we are asked to simplify the expression.

3x² + 4x - 5x² + 16 - 7x

Combine like terms.

-2x² - 3x + 16

Answer:

x=1

Step-by-step explanation:

The line that represents x=5 is vertical so the only equations that can parallel it must also be vertical. x=1 is the only vertical line on a graph that can pass through (1,4)

Answer:

X = 20

Step-by-step explanation:

To get the answer, we can set this up like a ratio.

First, we need to get the missing side of the small triangle. Using [tex]a^{2} +b^{2} = c^{2}[/tex] we get [tex]9^{2} +b^{2} =15^{2}[/tex]

[tex]9^{2} +b^{2} =15^{2}[/tex] square

[tex]81 +b^{2} = 225[/tex] subtract 81 from 225

[tex]b^{2} =144[/tex] square root

[tex]b=12[/tex]

Set up a ratio:

[tex]\frac{9}{15} = \frac{12}{x}[/tex]

[tex]\frac{3}{5} =\frac{12}{x}\\3x=60\\x=20[/tex]

Answer:

A is the answer as to me check it

Answer:

The right answer is g(x) = -|x|

Step-by-step explanation:

Answer:

Does this help?

Step-by-step explanation:

Segment Addition Postulate: If B is between A and C, then AB + BC = AC. In geometry two objects that have the same size and shape are called congruent. ... The midpoint of a segment is the point that divides the segment into two congruent segments.

Answer:

Harris, Ian, Gia, Jackson.

Step-by-step explanation:

                   Exercising Distance (miles)       Time (minutes)

Gia              2                                                  30

Harris          5                                                  50

Ian               3                                                  40

Jackson      4                                                  80

The easiest thing to do here would be to calculate how many miles each person can walk in 1 minute.

Gia takes 30 minutes to walk 2 miles. That means that her speed is 2/30, or 1/15, or 0.0667 miles per minute.

Harris takes 50 minutes to walk 5 miles. That means his speed is 5/50, or 1/10, or 0.1 miles per minute.

Ian takes 40 minutes to walk 3 miles. That means his speed is 3/40, or 0.075 miles per minute.

Jackson takes 80 minutes to walk 4 miles. His speed is 4/80, or 1/20, or 0.05 miles per minute.

From here, we can see that Jackson can walk the least miles per minute, since his rate is just 0.05 miles per minute. Next is Gia, who walks 0.0667 miles per minute. Then Ian, who walks 0.075 miles per minute, and finally Harris, who walks 0.1 miles per minute.

So, the order from fastest to slowest is Harris, Ian, Gia, Jackson.

Hope this helps!

The list of ranks the students from fastest walker to slowest walker is;

⇒ Harris, Lan, Gia, Jackson

What is Speed?

The speed of an object is defined as;

Speed = Distance / Time

Given that;

The four students in the table below each recorded the time and distance traveled while exercising.

               Exercising Distance(miles)            Time (minutes)

Gia                    2                                                 30

Harris                5                                                 50

Lan                    3                                                 40

Jackson             4                                                 80

Now,

Find the speed of all the students as;

For Gia;

Speed of Gia = Distance / Time

                    = 2 / 30

                    = 0.067 miles/minutes

For Harris;

Speed of Harris = Distance / Time

                        = 5 / 50

                        = 0.1 miles/minutes

For Lan;

Speed of Lan = Distance / Time

                    = 3 / 40

                    = 0.075 miles/minutes

For Jackson;

Speed of Jackson = Distance / Time

                            = 4 / 80

                            = 0.05 miles/minutes

Thus, The list of ranks the students from fastest walker to slowest walker is;

⇒ Harris, Lan, Gia, Jackson

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Answer: 12¹²

Step-by-step Explanation: The 12's in this problem are bases so as you apply the quotient rule, subtract the exponents but leave the base alone to get 12¹².

Answer:

12^(12)

Step-by-step explanation:

(12^16)/(12^4)

Apply the law of exponents where a^b/a^c = a^(b - c)

12^(16 - 4)

= 12^(12)

Answer:

[tex]4x-3=11\\4x= 11+3\\x= 14:4\\x=\frac{7}{2}[/tex]

Step-by-step explanation:

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Linear Equations in One Variable.

so here for solving, we get as,

=> 4x - 3 = 11

=> 4x = 11+3

=> 4x = 14

=> x = 14/4

=> x = 3.5

Answer:

C

Hope I am correct :)

Answer:

C

Step-by-step explanation:

If the angle opposite b is the obtuse angle then the answer is a² + c² < b² because in an obtuse triangle, the sum of the squares of the shortest sides must be less than the square of the longest side. In this case, the longest side is the one opposite the largest angle, which is b.

Answer:

C.

Step-by-step explanation:

In triangles, the largest angle is always opposite from the longest side.

In other words, since the angle opposite to side b is obtuse and there are only 180 degrees in a triangle, then side b must be the longest side.

In an obtuse triangle, the longest side squared will always be greater than the squared values of the two shorter sides.

The correct answer is C.

Answer: 3[tex]\sqrt{2}[/tex]

Answer:

False.

Step-by-step explanation:

You can put x=0 into both of the equations to justify. At the first equation, when x=0, f(x)=0. In the second equation, when x=0, f(x)=3. F(x) is the value of y. So, the function has moved 3 units up, not 3 units to the right.

Answer:

d) [tex]7mn+\frac{3m}{2}+\frac{5n}{4}[/tex]

Step-by-step explanation:

Which algebraic expression is a polynomial?

[tex]a)3m^2n-\frac{2m}{n}+\frac{1}{n} \\b)\frac{2mn}{5}-\frac{\sqrt{m} }{4} +4m^5\\c)\frac{4m^3}{n^2}-3mn^5+\sqrt{8}\\d)7mn+\frac{3m}{2}+\frac{5n}{4}[/tex]

Answer: A polynomial is an expression with variables and coefficients separated by addition and subtraction. The following are used when determining if an expression is a polynomial:

i) Variables of a polynomial must not have negative exponent.

ii) Variables of a polynomial must not have fractional exponent.

iii) Dividing by an exponent is not allowed

iv) Exponent radicals are not allowed.

a) [tex]3m^2n-\frac{2m}{n}+\frac{1}{n}[/tex] is not a polynomial because dividing by an exponent is not allowed.

b) [tex]\frac{2mn}{5}-\frac{\sqrt{m} }{4} +4m^5[/tex], is not a polynomial because exponent radicals are not allowed (√m)

c) [tex]\frac{4m^3}{n^2}-3mn^5+\sqrt{8}[/tex] is not a polynomial because dividing by an exponent is not allowed.

d) [tex]7mn+\frac{3m}{2}+\frac{5n}{4}[/tex] is a polynomial

Answer:

d

Step-by-step explanation:

Answer:

(5x−3)(x−4)

Step-by-step explanation:

5x2−23x+12

5x2−23x+12

=(5x−3)(x−4)

Answer

D: 132 ft

C= π2r

So, take pi and multiply that by two..

π2= 6.28

Now, take your radius and multiply it by 6.28.

21 x 6.28= 131.88

Round it two the nearest whole number, which is 132!

Hope this helps!

The formula for circumference is C = 2 x pi x radius

c = 2 x 22/7 x 21

C = 132

The circumference is 132 feet

Answer:

4

Step-by-step explanation:

Let's say B is the number of boys and T is the number of teachers.

T / (B + 18) = 2/21

B/18 = 4/3

Solve the second equation for B.

B = 24

Plug into the first equation to find T.

T / (24 + 18) = 2/21

T = 4

Answer:

Step-by-step explanation:

9.214x10³

Answer:

The measure of the third side is 9 centimeters.

Step-by-step explanation:

An isosceles triangle is a figure which two of its sides have the same length. The perimeter is the sum of all lengths from sides. Hence, the expression for perimeter of an isosceles triangle is given by the following expression:

[tex]p = l + 2\cdot w[/tex]

Where:

[tex]p[/tex] - Perimeter, measured in centimeters.

[tex]l[/tex] - Unequal side, measured in centimeters.

[tex]w[/tex] - Equal side, measured in centimeters.

The measure of the third side is calculated after clearing the equal side in the perimeter equation:

[tex]w = \frac{p-l}{2}[/tex]

Given that [tex]p = 25\,cm[/tex] and [tex]l = 7\,cm[/tex], the length of the third side is:

[tex]w = \frac{25\,cm-7\,cm}{2}[/tex]

[tex]w = 9\,cm[/tex]

The measure of the third side is 9 centimeters.

Answer:

Geometry (from the Ancient Greek: γεωμετρία; geo- "earth", -metron "measurement") is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. A mathematician who works in the field of geometry is called a geometer.

Step-by-step explanation:

Answer: y = 2x + 6

Step-by-step explanation:

Slope-Intercept form is represented by y = mx + b, whereas m represents the slope and b represents the y-intercept.

m = 2 is the slope (up 2 units, over 1 unit) and the line goes through 6 on the y-axis, which is where + 6 comes in.

The line also goes through (-3, 0) using the slope.

Answer:

Explained below.

Step-by-step explanation:

Consider the series is a set of first 6 natural numbers.

Sum of first n terms is:

[tex]\text{Sum of n terms}=\frac{n(n+1)}{2}[/tex]

[tex]\text{Sum of first 6 terms}=\frac{6(6+1)}{2}[/tex]

                               [tex]=3\times7\\=21[/tex]

Consider the series is an arithmetic sequence.

Sum of first n terms is:

[tex]S_{n}=\frac{n}{2} [2a+(n-1)d][/tex]

Here,

a = first term

d = common difference

Consider the series is an geometric sequence.

Sum of first n terms is:

[tex]S_{n}=\frac{a_{1}\cdot(1-r^{n})}{(1-r)}[/tex]

Here,

a₁ = first term

r = common ratio

Answer:

84

Step-by-step explanation:

Correct on edge 2021!!!

Answer:

b

Step-by-step explanation:

not a because equilateral would be all equal

scalene is all different

Answer:

scalene

Step-by-step explanation:

because all  sides are different.

Answer:

x = 4   ±9i

Step-by-step explanation:

x^2 - 8x + 97 = 0

Complete the square by subtracting 97 from each side

x^2 - 8x =- 97

Take the coefficient of x

-8 and divide by 2

-8/2 = -4

Then square it

(-4)^2 = 16

Add it to each side

x^2 - 8x + 16 = -97+16

(x-4)^2 = -81

Take the square root of each side

x-4 = ±sqrt(-81)

x-4 = ±9i

Add 4 to each side

x = 4   ±9i

Answer:

C. x= 4 + 9i or x = 4 - 9i

Step-by-step explanation:

[tex]x^2 - 8x + 97 = 0[/tex]

Use the quadratic formula.

[tex]\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Substitute a = 1, b = -8, and c = 97.

[tex]\frac{-\left(-8\right)\pm\sqrt{\left(-8\right)^2-4\times 1\times 97}}{2\times 1}[/tex]

Evaluate.

[tex]\frac{8\pm\sqrt{324}i}{2\times 1}[/tex]

[tex]\frac{8\pm18i}{2}[/tex]

[tex]4\pm9i[/tex]

Step-by-step explanation:

The Alps were born 770 million years ago.

Hope this helps..

Answer: About 65 million years ago.

Step-by-step explanation: The Alps emerged during the alpine orogeny, an event that began about 65 million years ago as the Mesozoic era was drawing to a close.

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Complete Question

90% of flights depart on time. 80% of flights arrive on time. 75% of flights depart on time and arrive on time.

• You are meeting a flight that departed on time. What is the probability that it will arrive on time?

• You have met a flight, and it arrived on time. What is the probability that it departed on time?

• Are the events, departing on time and arriving on time, independent?

Answer:

1st Question

       [tex]P(X_1) = 0.833[/tex]

2nd  Question

      [tex]P(X_2) = 0.938[/tex]

3rd Question

      The probabilities are not independent

Step-by-step explanation:

From the question we are told that

    The  probability of flight that depart on time is  P(DT) = 0.9

      The probability of flights that arrive  on time  is  [tex]P(AT) = 0.8[/tex]

     The  probability of flight that depart on time and arrive on time is  [tex]P(DT\ |\ AT) = 0.75[/tex]

    In the first question the flight is departed on time  so the probability that it will arrive on time is  

         [tex]P(X_1) = \frac{P(DT\ | \ AT)}{DT}[/tex]

substituting values

         [tex]P(X_1) = \frac{0.75}{0.9}[/tex]

        [tex]P(X_1) = 0.833[/tex]

In the second question the flight arrived on time, so the probability that it departed on time is  mathematically evaluated as follows

           [tex]P(X_2) = \frac{P(DT\ | \ AT)}{AT}[/tex]

substituting values

           [tex]P(X_2) = \frac{0.75}{0.8}[/tex]

           [tex]P(X_2) = 0.938[/tex]

Looking at the given and calculated values we see that the probability of  depart on time and arrive is not equal to the probability of  depart on time,

    i.e 0.75 =  0.8

the probability of  depart on time and arrive, and  the probability of depart on time are not independent

Answer:

It takes 70 minutes for 9 team members (painting 60 sq ft per minute) to paint a 4200 sq ft wall.

Step-by-step explanation:

According to the situation the calculation is shown below:-

= [tex]\frac{4800}{20}[/tex]

= 240 sq ft each member of the team in 36 minutes

= [tex]\frac{240}{36}[/tex]

= 6.67 sq ft each member of the team within 1 minute

[tex]= 6.67\times 9[/tex]

= 60 sq ft for every 9 team members in one minute

= [tex]\frac{4200}{60}[/tex]

= 70 minutes (or 1 hour and 10 minutes)

Hence, the 70 minutes is taken for 9 team members

Answer:

The Exterior Angle of a Triangle Formula states that the measure of an exterior angle is equal to the sum of its remote interior angles. Therefore, r + 58 = 130 which means r = 72°.