Find the 9th term of the arithmetic sequence with 9=10 and d= - ½

The 20% rate the bank borrowed Oliver the loan for 3 months gives an interest of $125.

The amount Oliver borrowed = $2,500

The interest rate applied to the loan = 20%

Required: To calculate the simple interest using the formula, I = P•R•T

Where;

I = The simple interest

P = The principal borrowed = $2,500

T = The time or loan duration = 3 months = 1/4 year

R = The rate at which the loan is applied = 20% = 0.2

Therefore;

I = $2,500 × 0.2/year × 3/12 year = $125

The correct option for the interest paid on the loan is therefore;

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Answer:

125

Step-by-step explanation:

Answer:

12 is the coefficient.

Step-by-step explanation:

Answer: Yes because it equals 87/100 which in decimal form is 0.87.

Step-by-step explanation:

Answer:

75-79 i87

Step-by-step explanation:

Answer:

4a + 2b + 5

Step-by-step explanation:

4a−1+2b+6

=4a+−1+2b+6

Combine Like Terms:

=4a+−1+2b+6

=(4a)+(2b)+(−1+6)

=4a+2b+5

Answer: to be honest looks kinda hard

Step-by-step explanation:

I think both are 4

We get that the cost of the battery is $ 8.24 per battery.

We are given that the cost of 88 batteries = $ 724.72

We need to find the cost of one battery.

We will do this by diving the cost of 88 batteries by 88.

Using division, we get that:

cost of one battery = $ 724.72 ÷ 88

Simplifying the expression, we get that:

cost of one battery = $ 8.24 per battery.

Therefore, we get that the cost of the battery is $ 8.24 per battery.

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The circumference of the circle = 17.8 units

The area of the circle = 25.1 square unit

Given,

the points are A(2,3) and B(4,1)

Formula to get the circumference of a circle = 2πr

Where r = radius of the circle

Radius of the given circle = Distance between the points A(2, 3) and

B(4, 1)

r = √(2 - 4)² + (3 -1)²

r = √(-2)² + (2)²

r = √4+4

r = √8

r = √2(4)

r = 2√2

Therefore the circumference is = 2π(2√2)

                                                = 17.77

                                                ≈ 17.8 units                                        

Area of the circle = πr²

                           = π(2√2)²

                           = 8π

                           = 25.13

                           ≈ 25.1 square unit

Hence we get the circumference and area of the circle as 17.8 units    and  25.1 square unit respectively.

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The inverse of the given statement will be- Option 3, If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

Here, we are given a statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

According to the statement,

if B bisects AC ⇒ AB = BC

then, B is the midpoint.

The inverse of this will be-

if B is the midpoint of AB ⇒ AB = BC

then, B bisects AB

This can be written as-

If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

Thus, option 3 is the correct answer.

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Your question was incomplete. Check below for full content-

Which statement is the contrapositive of the conditional statement:

Which statement is the inverse of the conditional statement: If point B bisects line segment AC into two congruent segments, then point B is the midpoint.

1. If point B is not the midpoint, then point B does not bisect line segment AC into two congruent segments.

2. Point B bisects line segment AC into two congruent segments if, and only if, point B is the midpoint.

3. If point B is the midpoint, then point B bisects line segment AC into two congruent segments.

4. If point B does not bisect line segment AC into two congruent segments, then point B is not the midpoint.

inches: 0.5 miles: 14

inches: 1 mile 28

inches: 1.5 miles 42

The British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolized as in or ′′). It is equivalent to 1/36 of a yard or 1/ 12 of a foot. The term inch, which is often used to translate comparable units in other measurement systems and is derived from the Roman uncia ("twelfth"), is generally considered to refer to the breadth of the human thumb.

Since the international yard was adopted in the 1950s and 1960s, standards for the precise length of an inch have varied, but the inch is now based on the metric system and is defined as precisely 25.4 mm.

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Answer:

f'(5) = 1

Step-by-step explanation:

You are right. The derivative of f(x) = f'(x) = 1 a constant

If you plot y =  f'(x) = 1 it will be a vertical line passing through x = 1 (See graph)

This means f'(x) is constant and equal to 1 for all values of y

So whether it is f'(5) or f'(100) the value = 1

f'(5) = 1

Answer:

50

explanation:

1000 divided by 50 = 20

One person can at least be 20 kg.

20 students can ride in one turn

The maximum number of these students who can take the ride at the same time will be 50. Then the correct option is C.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

During a school trip, Class 6 students of a school saw the sign shown below at the entrance of an amusement park ride.

The average weight of the student is 20 kg.

The Lazy Poseidon Maximum Capacity 1000 kgs Have Fun!

The maximum number of these students who can take the ride at the same time will be

⇒ 1000 / 20

⇒ 50

The maximum number of these students who can take the ride at the same time will be 50. Then the correct option is C.

The missing sentence is given below.

The average weight of the student is 20 kg.

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Answer:

[tex]\textsf{b)} \quad -\dfrac{\sqrt{7}}{4}[/tex]

Step-by-step explanation:

Trigonometric ratios

[tex]\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\textsf{If}\; \cos(\theta)=-\dfrac{3}{4} \implies \sf A=3 \; \textsf{and} \; H=4.[/tex]

Use Pythagoras Theorem to calculate the length of the opposite side:

[tex]\sf \implies O^2+A^2=H^2[/tex]

[tex]\implies \sf O=\sqrt{H^2-A^2}[/tex]

[tex]\implies \textsf{O}=\sqrt{4^2-3^2}[/tex]

[tex]\implies \textsf{O}=\sqrt{7}[/tex]

Therefore, substituting the values of O and H into the sine ratio:

[tex]\implies \sin\theta=\dfrac{\sqrt{7}}{4}[/tex]

As the terminal side of the angle is in Quadrant III, and sine is negative in Quadrants III and IV, the exact value of sin(θ) is:

[tex]\implies \implies \sin\theta=-\dfrac{\sqrt{7}}{4}[/tex]

Answer:

The height of the building is 24m

Step-by-step explanation:

This can be solved using the Pythagorean theorem

which states that the three sides of a right triangle are related by the equation

[tex]c^2 = a^{2} + b^{2}[/tex]  (see figure)

where c is the hypotenuse and a, b are the other two sides

Here we have c = the distance from the top of the building to the tip of the shadow = 26m

One side, the length of the shadow ie b = 10 m

So we have

[tex]26^2 = a^2 + 10^2[/tex]   where a is the height of the building

Switch sides to get

[tex]a^2 + 10^2 = 26^2[/tex]

[tex]a^2 + 100 = 676[/tex]

Subtract 100 from both sides

[tex]a^2 = 676 - 100 = 576[/tex]

[tex]a = \sqrt{576}[/tex]

a = 24

The height of the building is 24m

The digit that when multiplied, make a cube and a square out of the number is 88.

It should be noted that this has to do with mental reasoning.

It should be noted that 8 × 8 = 64. This is the square of 8.

Also, it should be noted that 4 × 4 × 4 = 64. This gives the cube value.

Therefore, the number is 88.

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Answer:

187.5 miles

Step-by-step explanation:

We can use the rationing method to solve for this problem.

2 inches on map = 75 miles actual distance

1 inch on map = (75 ÷ 2) = 37.5 miles actual distance

5.5 inches on map = (37.5 × 5) = 187.5 miles actual distance

Answer:

[tex]-21\frac{1}{4}[/tex]

Step-by-step explanation:

First you need to get them into improper fractions. To do that multiply the whole number by the bottom number, and then add the top number:

[tex]-5\frac{2}{3} = -\frac{17}{3} \\3\frac{3}{4} = \frac{15}{4}[/tex]

Next, multiply the numerators (top numbers) by the denominators (bottom numbers)

[tex]-\frac{255}{12}[/tex]

Next just fix it and make it a mixed number. Just divide -255 by 12

The answer is -21.25

Just make that into a fraction and you are finished

Answer: 6x-2 ==> option 4

Step-by-step explanation:

(12x-4)/2=

12x/2 - 4/2= 6x-2 ==> option 4

Answer:

Step-by-step explanation:

Answer:

f(x) = -3/2 x - 2

Step-by-step explanation:

The line rises to the left so the slope is negative, also:

the slope of the line is -3/2 and the y-intercept is at (0, -2)

the car is traveling at 55 mph

The equation to determine the number of players the team can bring to the tournament is xx = (2,143.50 - 888.50)/62.75.

An equation is a mathematical statement that shows that two or more mathematical expressions are equal.

Equations express the equality of mathematical expressions by using the equation mark (=).

The total amount raised for the tournament = $2,143.50

The amount for renting a bus = $888.50

The cost of budgeted meals per player = $62.75

The equation to determine xx is the number of players the team can bring to the tournament (xx = (2,143.50 - 888.50)/62.75.

Check:

xx = (2,143.50 - 888.50)/62.75

xx = 1,255/62.75

xx = 20

Thus, the equation to determine the number of players the team can bring to the tournament is xx = (2,143.50 - 888.50)/62.75.

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Answer:

to be honest i don't know :^

The salary Mr. Keon spent 1510 on food, rent, clothes, and transport.

The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

If y is the amount of money Mr. Keon spent on food and clothes and x is Mr. Keon's salary.

Then the linear function for the relation between x and y is:

y = ( 5/8) × (x)

y = (5/8)x

The salary of Mr. Keon is 2416.

Now, Mr. Keon spent 5/8 of his salary on food, rent, clothes, and transport.

Let x be the money she spent.

Then,

x = 5/8 of Mr. Keon's salary

x = ( 5/8 ) × 2416

x = ( 2416 × 5 ) / 8

x = 12080 / 8

x = 1510

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The kinetic energy of brett favre's will be 245 J.

It is given that speed is 35 meters per second and mass of football is 0.4 kg .

Using equation (1) , we get

 K.E = 1 /2 (0.4)(35)²

       = 490 / 2

       = 245 J

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Step-by-step explanation:

trapezium means especially

AD || BC

AC = BC tells us that ABC is an isoceles triangle (both legs are identically long, which makes also their angles with their baseline AB equal).

therefore, A1 = B = 80°.

and because the sum of all angles in a triangle is always 180°, we get

180 = 80 + 80 + C1

C1 = 20°

(e)(1)

because of the law of a line intersecting parallel lines with the same angles, and AC is intersecting the parallel lines AD and BC, we know that

C1 = A2 = 20°

(e)(2)

because also the sum of all angles around a single point on one side of a line is 180°, we know D1 + D2 = 180°.

we also know that D2 is an angle in an equilateral triangle (that means all 3 sides are equally long, and therefore all 3 angles are equal too = 180/3 = 60°) and therefore

D2 = 60°.

therefore, D1 = 180 - 60 = 120°.

so, for the triangle ACD we have

180 = A2 + D1 + C2 = 20 + 120 + C2

C2 = 40° = 2×20 = 2×C1

(f)(1)

a kite is a quadrilateral, and as such the sum of all angles is 360°.

again remember the symmetry of a kite, so the angles at H and at F must be equal.

H = F = x

so, we have

360 = 110 + 50 + H + F = 110 + 50 + 2x

200 = 2x

x = 100°

(f)(2)

after drawing EG we see that this line splits the kite into 2 equal (ahem, congruent) triangles due to the symmetry of a kite exactly along that line.

and that splits both angles E and G in half for each of the triangles.

again, the sum of all angles in a triangle is 180°, so

180 = 110/2 + 50/2 + x = 55 + 25 + x = 80 + x

x = 100°

Answer:

Step-by-step explanation:

Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.

The absolute value will be 90 when the argument of the function is either -90 or +90.

The question resolves to two equations:

These two-step linear equations can be solved in the usual way:

Then ...

Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.

Answer:

  5 seconds

Step-by-step explanation:

Given the height function h(t) = -2x² + 2x + 40, you want the positive value of t such that h(t) = 0.

The given function can be factored as ...

  h(t) = -2(x -5)(x +4)

This will be zero when the factors are zero:

  x -5 = 0   ⇒   x = 5

  x +4 = 0   ⇒   x = -4

The positive value of t for which the height is zero is t = 5.

It took 5 seconds for the plastic boulder to hit the ground.

__

Additional comment

There are several methods available for factoring the equation. One is to factor out the leading coefficient, then factor the remaining quadratic.

  -2(x² -x -20)

To factor this, you're looking for factor pairs of -20 that have a sum of -1.

  -20 = -20(1) = -10(2) = -5(4)

The last of these, {-5, 4} has a sum of -1. These are the constants that go into the binomial factors.