The following information is known about a loan.

Time = 7 years
Interest rate = 6%
Interest = $840.00

What was the principal on the loan?

Answer:

[tex] x \ge 15 [/tex]

Step-by-step explanation:

An isosceles ∆ has 2 equal sides. The perimeter of a ∆ is the sum of all its sides.

Given that the perimeter of the triangle above is "at least 137 ft", this means the sum of all its sides is equal to or greater than 137 ft.

Thus, using inequality, this can be represented as:

[tex] 2(2x + 7) + 4x + 3 \ge 137 [/tex]

Solve for x

[tex] 4x + 14 + 4x + 3 \ge 137 [/tex]

Add like terms

[tex] 8x + 17 \ge 137 [/tex]

Subtract 17 from both sides

[tex] 8x + 17 - 17 \ge 137 - 17 [/tex]

[tex] 8x \ge 120 [/tex]

Divide both sides by 8

[tex] \frac{8x}{8} \ge \frac{120}{8} [/tex]

[tex] x \ge 15 [/tex]

Answer:

Hope this may helps you

The value of ratios (2a - 4b) / (a - 2b) is,

⇒ 2

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

Given that;

The value is,

⇒ (a + b )/ (a-b) = 5/3

Now, We get;

⇒ a + b = 5

⇒ a - b = 3

Hence, By solving above equation,

a = 4

b = 1

Thus, The value of ratios (2a - 4b) / (a - 2b) is,

⇒ (2a - 4b) / (a - 2b)

⇒ (2 × 4 - 4 × 1) / (4 - 2 × 1)

⇒ (8 - 4) / (4 - 2)

⇒ 4 / 2

⇒ 2

Thus, The value of ratios (2a - 4b) / (a - 2b) is,

⇒ 2

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Step-by-step explanation:

:) <333333 .! :)))))))))

Answer:

The coordinates of the point P = (x, y) = (-1, 4)

Step-by-step explanation:

Let the coordinates of P be (x, y)

Using the section formula

x = [(mx₂ + nx₁)] / [(m+n)]

   = [5(2)+3(-6)] / [5+3]

   = [10-18] / [8]

   = -8/8

    = -1

y = [(my₂ + ny₁)] / [(m+n)]

   = [5(1)+3(9)] / [5+3]

   = [5+27] / [8]

   = 32/8

    = 4

Therefore, the coordinates of the point P = (x, y) = (-1, 4)

Answer:

she started with 18

Step-by-step explanation:

2(4)+ 10= 18

Answer:

6.37 cm

Step-by-step explanation:

Answer: n= -20?

Step-by-step:

Simplify both sides of the equation

1/5n+4=0

Then subtract 4 from both sides

1/5n + 4 - 4 = 0 - 4

1/5n= -4

Then multiply both sides by 5

5*(1/5n)=5*(-4)

Answer:

0=n

Step-by-step explanation:

1. 0=4+n/5

add 4 and n

2. 0=4n/5

×5. ×5

3. 0=4n

-- --

4 4

4. 0=n

Look at the picture for a more detailed steps

Answer: the graph is incorrect

Step-by-step explanation:

The graph should be headed towards the left (the negative x side) because x is negative

Answer:

The graph is not correct, because it is a positive graph. It answers the equation y= x, and Franco said it was y= -x. His line would be negative, and this graph is positive.

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

We are given:

To Find: ∠E

Concept Used:

Finding the value of 'x':

Since adjacent angles of a parallelogram are Supplementary:

∠D + ∠C = 180

5x + 10 + 13x - 10 = 180              [replacing the values of angle C and D]

18x = 180

x = 10                                          [dividing both sides by 18]

__________________________________________________________

Finding Measure of Angle D:

We are given that:

∠D = 5x + 10

∠D = 5(10) + 10                    [since x = 10]

∠D = 60°

__________________________________________________________

Finding the measure of ∠E:

∠D and ∠E are Adjacent angles

Since Adjacent angles are Supplementary:

∠D + ∠E = 180

60 + ∠E = 180

∠E = 120°                                  [subtracting 60 from both sides]

Hence, the measure of ∠E = 120°

Answer:

A. 28

Step-by-step explanation:

x = 28

Value of x in the rhombus is  [tex]28^{0}[/tex].

A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. In addition to this, a rhombus has all four sides equal just like a square.

According to the question

DB, CA are diagonal line

So, <CAB + <DBA = [tex]90^{0}[/tex]

⇒ x + 6 + 2x =   [tex]90^{0}[/tex]

⇒ 3x = 90 - 6

⇒ 3x = 84

⇒ x = [tex]\frac{84}{3}[/tex]

⇒ x = [tex]28^{0}[/tex]

Hence, value of x in the rhombus is  [tex]28^{0}[/tex].

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Answer:

1.2 Liters

Step-by-step explanation:

There are 1000 mL in 1 L. divide 1200 by 1000 and you get 1.2

Answer:

53/100 or 0.53 i think thats right

Given:

Equation of line is [tex]y-25=2(x-10)[/tex].

A line is perpendicular to the given line and passes through (-3,7).

To find:

The point slope form of the perpendicular line.

Solution:

Point slope form of a line is

[tex]y-y_1=m(x-x_1)[/tex]          ...(i)

where, [tex](x_1,y_1)[/tex] is the point from which the line is passing through and m is slope.

We have,

[tex]y-25=2(x-10)[/tex]       ...(ii)

From (i) and (ii), we get

[tex]m_1=2[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]2\times m_2=-1[/tex]

[tex]m_2=-\dfrac{1}{2}[/tex]

So, slope of perpendicular line is [tex]-\dfrac{1}{2}[/tex].

Point slope form of the perpendicular line is

[tex]y-(7)=-\dfrac{1}{2}(x-(-3))[/tex]

[tex]y-7=-\dfrac{1}{2}(x+3)[/tex]

Therefore, the correct option is C.

Answer:

do you have to find the perimeters? or areas?

Step-by-step explanation:

Answer:

y = 2/3x - 4

Step-by-step explanation:

Answer:

Explained below.

Step-by-step explanation:

1. Bisecting splits an angle into two equal parts. Angle 2 and 3 are now equal.

2. And since it is a right angle, both angles are 45 degrees.

3. All triangle angles will ALWAYS add up to 180.

4. Angle 4 = 180 - 45 (Angle 3) -83.

Angle 4 = 52.

5. Do same thing for Angle 1.

6. Angle 1 = 180 - 45 (Angle 2) - 48

Angle 1 = 87.

Final answers.

1. 87 degrees

2. 45 degrees.

3. 45 degrees.

4. 52 degrees.

Answer:

(A) the center of dilation is at (-2,-1)

(E) the scale factor is 2

The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.

A triangle is a three-sided polygon that consists of three edges and three vertices.

The ratio of the lengths of corresponding sides of triangles ABC and DEF.

AB and DE are corresponding sides, so:

AB/DE = (distance between A and B) / (distance between D and E)

= 2.5 / 5

= 0.5

BC and EF are corresponding sides, so:

BC/EF = (distance between B and C) / (distance between E and F)

=1.118 / 2.236

= 0.5

AC and DF are corresponding sides, so:

AC/DF = (distance between A and C) / (distance between D and F)

AC/DF = 2.236 / 4.472

= 0.5

We see that all three ratios are equal to 0.5.

Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.

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Answer:

3. 4,715 (estimate: 5,000)

4. 3,672 (estimate: 3,300)

5. 18,040 (estimate: 16,000)

6. 9,060 (estimate: 9,000)

Explanation:

It is reasonable if your answer is somewhat close to the estimate.

Answer:

I think the answers are...

B. 6 feet by 5 feet by 4 feet

C. 7 feet by 6 feet by 4 feet

D.  8 feet by 3 feet by 7 feet

(I'm so sorry if it's wrong)

Hope this Helps!

Answer:

Which could be the dimensions of a rectangular prism whose surface area is greater than 140 square feet? Select three options.

6 feet by 2 feet by 3 feet

6 feet by 5 feet by 4 feet

7 feet by 6 feet by 4 feet

8 feet by 3 feet by 7 feet

8 feet by 4 feet by 3 feet

Step-by-step explanation:

Answer:

17(9−x)−50=52

Step 1: Simplify both sides of the equation.

17(9−x)−50=52

(17)(9)+(17)(−x)+−50=52(Distribute)

153+−17x+−50=52

(−17x)+(153+−50)=52(Combine Like Terms)

−17x+103=52

−17x+103=52

Step 2: Subtract 103 from both sides.

−17x+103−103=52−103

−17x=−51

Step 3: Divide both sides by -17.

-17x ÷ -17

-51 ÷ -17

x = 3

Answer:  14 days in June

Step-by-step explanation:

Multiply 1/3 × 42.  That is the same as dividing 42/3 = 14

Answer:

x equals to 4

Step-by-step explanation:

because x is a coefficient of the bracket