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Using proportions, it is found that the APR was of 6.3%.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, 4.7% was paid in interest in 9 months. The APR is the amount that would be paid in a year, that is, 12 months.

Hence, the rule of three is:

9 months - 4.7%

12 months - x%

Applying cross multiplication:

[tex]9x = 12(4.7)[/tex]

[tex]x = \frac{12 \times 4.7}{9}[/tex]

[tex]x = 6.3[/tex]

The APR was of 6.3%.

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Answer:

Between A and C.

Step-by-step explanation:

A negative slope rises to the left  (\).

Answer:

a line between a and c

Step-by-step explanation:

if you were to draw a line between point a and point c the slope would be [tex]-\frac{3}{4}[/tex]

Answer:

-3 & -12

Step-by-step explanation:

-3 * -5 =36

negative multiplied by a negative it will give you a positive

-3+(-5)=-15

Answer:

35 and 24

Step-by-step explanation:

35 + 24 = 59

35 - 24 = 11

Answer:

24 and 35

Step-by-step explanation:

x + y = 59

x - y = 11,    then x = y + 11

substitute for x:

y + 11 + y = 59

simplify:

2y + 11 = 59

subtract 11 from each side of the equation:

2y = 48

divide both sides by 2:

y = 24

x = 35

Answer:

The product of its roots is 6.

Step-by-step explanation:

Let [tex]m\cdot x^{2}-(6\cdot m +1)\cdot x+(m^{3}+m^{2}+4) = 0[/tex], all roots are calculated by Quadratic Formula:

[tex]r_{1} = \frac{6\cdot m +1 + \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (1)

[tex]r_{2} = \frac{6\cdot m +1 - \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (2)

According to statement, we know that:

[tex]r_{1}+r_{2} = 7[/tex] (3)

By applying (1) and (2) in (3), we have the following expression:

[tex]\frac{6\cdot m +1}{m} = 7[/tex]

[tex]6\cdot m + 1 = 7\cdot m[/tex]

[tex]m = 1[/tex]

If we know that [tex]m = 1[/tex], then the roots of the polynomial are, respectively:

[tex]x^{2}-7\cdot x +6 = 0[/tex]

[tex]r_{1} = 6[/tex]

[tex]r_{2} = 1[/tex]

And the product of the roots is:

[tex]r_{1}\cdot r_{2} = 6[/tex]

The product of its roots is 6.

Answer:

$22.02

Step-by-step explanation:

3(6.75)(1.0875) = 22.021875 ≈ $22.02 (Assuming the store rounds down.)

Step-by-step explanation:

First answer I hope it will help

Answer:

11

first you use a number tree

34 374

/\ /\

2 17 2 187

/\

11 17

express the numbers in prime factors

374=2×11×17

34 =2×17

in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17

So m factors are 2 and 11

which means m is 2×11=22

22 in its smallest form is 11

Answer:

x = 5

Step-by-step explanation:

Given two intersecting chords

Then the product of the parts of one chord is equal to the product of the parts of the other chord, that is

2x × 12 = 15(x + 3) , that is

24x = 15x + 45 ( subtract 15x from both sides )

9x = 45 ( divide both sides by 9 )

x = 5

Answer:

24

Step-by-step explanation:

Do tell me if you ever change your mind and want me to show work :)

Each piece of ribbon that had been cut has a length of approximately 3.7 m.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The total length of ribbon to tie 12 gifts is calculated as,

⇒ 12 gifts × 1.85 m/gift = 22.2 m

The length of the ribbon remaining is calculated as,

Total length = [22.2 / (1/3)] x 2/3

Total length = 66.6 x 2/3

Total length = 44.4

The length of each piece of ribbon that had been cut is calculated as,

Length of each piece = 44.4 m ÷ 12 = 3.7 m

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Answer:

6

Step-by-step explanation:

3 sides, 3 angles.

Answer:

The total cost of the game is $23.60

Answer:

10

Step-by-step explanation:

Set up as a proportion:

[tex]\frac{QR}{QP}=\frac{BA}{BC}[/tex], insert given values

[tex]\frac{?}{12}=\frac{30}{36}[/tex], cross multiple

36*?=30*12

36*?=360, divide both sides by 36 to get the missing side (?) by itself

?=10

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Answer:

1/7

Step-by-step explanation:

Answer:

i believe its g(x) = 1/3(x+4)^2+6

Step-by-step explanation:

Answer:

Expression is 2(l+w)

Step-by-step explanation:

l is length and w is width

Answer:

AB = 74°

Step-by-step explanation:

Minor arc AB is equal to the measure of the central angle APB , then

∠ APB = 360° - 286° = 74° , thus

minor arc AB = 74°

Arc measure of minor arc AB on circle P =  74 degrees

In the given circle,

Arc measure of major arc = 286 degree

Since we know that,

Measure of complete circle = 360 degree

Therefore,

Angle of minor sector = 360 - 286

                                     = 74 degree

We also know that,

A circle sector is a segment or component of a circle made up of an arc and its two radii. A circle's sector can be compared to the form of a pizza slice. A sector is generated when two circle radii meet at both ends of an arc. An arc is merely a part of the circle's circumference.

Since,

Angle of sector = measure of arc

Hence,

Measure of minor arc = 74 degree.

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Step-by-step explanation:

Simplify the equation to find the value of a.

Subtract 4a from both sides:

[tex] - 3a - 15 = - 3[/tex]

Add 15 to both sides:

[tex] - 3a = 12[/tex]

Divide each side by -3:

[tex]a = - 4[/tex]

Answer:

1.5 degrees

Step-by-step explanation:

Answer:

B. (6,2) and (3,0)

Step-by-step explanation:

To find the slope the equation is [tex]\frac{y_{2-y_{1} } }{x_{2} -x_{1} }[/tex] so for (6,2) and (3,0) the equation would look like this [tex]\frac{0-2}{3-6}[/tex] which simplies down to [tex]\frac{-2}{-3}[/tex] and a negative divided by a negative is a positive so you're slope is [tex]\frac{2}{3}[/tex] and it matches the question.

Answer:

b

Step-by-step explanation:

Answer: Are you high school because GOD that looks hard to do.

Step-by-step explanation: