Andy took out a 5 year loan at 12% interest rate to pay for a trip to Spain. If he ended up paying $4937.50 in interest, how much was the trip?

Answer:

3600

Step-by-step explanation:

Answer:

The length of the bold arc is approximately 13.4 mi

Step-by-step explanation:

The radius of the circle having the arc, r = 17 mi

Therefore, the circumference of the circle, 'C', is given as follows;

C = 2·π·r

∴ C = 2×π×17 = 34·π

The angle subtended by the arc = 45°

The sum of the angles at the center of the circle = 360°

By similarity, the ratio of the length of the bold arc to the circumference of the circle = The ratio of the angle subtended by the arc to the sum of the angles at the center of the circle

Mathematically, we have;

[tex]\dfrac{The \ arc \ length}{C} = \dfrac{\theta}{360^{\circ}}[/tex]

Therefore, we get;

[tex]\dfrac{The \ arc \ length}{34 \cdot \pi} = \dfrac{45 ^{\circ}}{360 ^{\circ}} = \dfrac{1}{8}[/tex]

[tex]{The \ arc \ length}{} = \dfrac{1}{8} \times 34 \cdot \pi = 4.25 \cdot \pi[/tex]

The length of the bold arc = 4.25·π mi ≈ 13.4 mi (by rounding off the answer to the nearest tenth).

Answer: 6 is C and 7 is a

Step-by-step explanation:

Answer:

6) b. 75

7) d. 62

Step-by-step explanation:

the sides of the box are the quartiles, and the dots at the end are the range of the data. the line in the middle of the box is the center of the data.

9514 1404 393

Answer:

  16 m

Step-by-step explanation:

The useful trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(41°) = a/(25 m)

  a = (25 m)sin(41°) ≈ 16.40 m

The measure of side 'a' is about 16 meters.

Answer:

d

Step-by-step explanation:

Answer:

m = 4

Step-by-step explanation:

In order for this equation to be true, the angles must be complementary.

So, 18m- 12 + 7m + 2 = 90

25m - 10 = 90

25m = 100

m = 4

Answer:

[tex]Area = 56892in^2[/tex]

Step-by-step explanation:

Given

[tex]\triangle TUV[/tex]

[tex]t = 320in[/tex]

[tex]u = 360in[/tex]

[tex]\angle V = 81^\circ[/tex]

Required

Calculate the area

Given two sides and a middle angle, the area of a triangle is:

[tex]Area = \frac{1}{2}ab*sinC[/tex]

In this case, it is:

[tex]Area = \frac{1}{2}tu*sinV[/tex]

[tex]Area = \frac{1}{2}*320*360*sin(81)[/tex]

[tex]Area = \frac{1}{2}*320*360*0.9877[/tex]

[tex]Area = 56891.52[/tex]

[tex]Area = 56892in^2[/tex] --- approximated

Answer:

56000

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

A. 12 inches

Step-by-step explanation:

Set a proportion

20/27.5=x/27.5-11

27.5x/27.5=330/27.5

x=12

Answer:

Her total would be: $944

Step-by-step explanation:

Answer:

The answer is √5+√3+10+2√15

Answer: [tex]\sqrt{5} + \sqrt{3} + 10 + 2\sqrt{15}[/tex]

Step-by-step explanation:

[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} }[/tex]

You need to multiply by the conjugate

To find the conjugate, first remember:

(a+b)(a-b) = a^2 - b^2 (if a and b are sqrts, this will eliminate the square roots, rationalizing the denominator)

You have √5 - √3 as the denominator

You should multiply by √5 + √3

(This will eliminate the sqrts)

Remember to multiply both the numerator and denominator

[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } = \frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } * \frac{\sqrt{5}+\sqrt{3} }{\sqrt{5}+\sqrt{3}}[/tex]

Now simplify

[tex]\frac{2+4\sqrt{5} }{\sqrt{5}-\sqrt{3} } * \frac{\sqrt{5}+\sqrt{3} }{\sqrt{5}+\sqrt{3}} = \frac{(2+4\sqrt{5})(\sqrt{5}+\sqrt{3})}{(\sqrt{5}-\sqrt{3})(\sqrt{5}+\sqrt{3})} = \frac{2\sqrt{5}+2\sqrt{3}+20+4\sqrt{15}}{5-3} = \sqrt{5} + \sqrt{3} + 10 + 2\sqrt{15}[/tex]

Answer:

$16

Step-by-step explanation:

Answer:

i think the answer is 265.25

Step-by-step explanation:

because there are 12 months in a year so 3,183 ÷ 12 = 265.25

Answer:

[tex] - \frac{2}{10} [/tex]

or

-0.2

Answer:

(3x + 4)3

By using distributary property,

(3x × 3) + (3 × 4)

9x+12

Answer:

y = 2/3x+4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

−2

Step-by-step explanation:

−22−3+5

=−4−3+5

=−7+5

=−2

PLS BRAINLIEST

Answer:

Joe mama

Step-by-step explanation:

Answer:

tue

Step-by-step explanation:

Answer:

it 14 inch because 1 foot is 12 inches, and 14 inches is greater

Step-by-step explanation:

Answer:

Let L = length

Let w = width

Perimeter = 2L + 2w

L = 100

Perimeter > 400

2(100) + 2w > 400

200 + 2w > 400 is the inequality

Subtract 200 on both sides of inequality.

2w > 200

w > 100

The width is at least 100 centimeters

The inequality that describes the perimeter of a rectangle is greater than 100 is 2(l + w) > 100.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

Given, A rectangle with a width of w and a length of l has a perimeter greater than 100.

We know the perimeter of a rectangle is 2(l + w).

∴ The perimeter of this rectangle is 2(l + w) > 100.

learn more about rectangles here :

https://brainly.com/question/15019502

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Answer:

Step-by-step explanation:

Arianna will always be 3 years older than Javier no matter how old he gets.

The table is given below.

The equation that relates the age of Arianna y to the age of Javier x is

y = x + 3

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

We can use the given information to complete the table as follows:

Javier(x) Arianna (y)

2          5

3          6

8          11

20          23

Now,

The equation that relates the age of Arianna, y, to the age of Javier, x.

We have,

y = mx + b, where m is the slope and b is the y-intercept.

We can use the first two points (2, 5) and (3, 6) to find the slope.

m = (6 - 5)/(3 - 2)

m = 1

Now,

The y-intercept,

(2, 5) = (x, y)

y = mx + b

5 = 1(2) + b

b = 3

Therefore,

The equation that relates the age of Arianna y to the age of Javier x is

y = x + 3

Learn more about equation of a line here:

https://brainly.com/question/23087740

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Answer:

[tex]8 - 5xt - 13x[/tex]

Step-by-step explanation:

1) Collect like terms.

[tex]8 - 5xt + ( - 8x - 5x)[/tex]

2) Simplify.

[tex]8 - 5xt - 13x[/tex]

Therefor the answer is 8 - 5xt - 13x.

Answer:

(6,3)

Step-by-step explanation:

It will make a weird diamond shape.

Answer:

(6,3)

Step-by-step explanation:

A rhombus lis like a diamond shape so we know its going to be opposite if point B.

Point B is located 3 units above the invisible line that connects A and C.

Count down 3 units from that line and you will get your answer.

:)

Answer: 15 oatmeal cookies.

Step-by-step explanation:

There were 25 cookies baked.

Out of these, 3/5 are oatmeal cookies.

The amount of actual oatmeal cookies is:

= fraction of oatmeal cookies * total number of cookies

= 3/5 * 25

= 75 / 5

= 15 oatmeal cookies.

Answer:

0.225989

Step-by-step explanation:

3x+9+x-11=180

4x-3=180

4x=180-3

4x/4x=177/4x

0.225989

Answer:

=78 degrees

Step-by-step explanation:

complementary angles add up to 90 degrees

A + B = 90

3x + 9 + x - 11 = 90

3x + x + 9 - 11 = 90

4x - 2 = 90

collect like valuables

4x = 90 + 2

4x = 92

x =23

angle A = 3x + 9

             = (3 x 23) + 9

             = 69 + 9

             = 78

Answer:

Step-by-step explanation:

think its c