Two angles are supplementary. One of them is 18 more than 6 times the other. How large is the larger angle?

An Investment of $10,000 yields 8% interest compounded quarterly.  The accumulated capital after 6 months is $10,404. The accumulated capital after 5 years is $14.859.47

From the information given;

a. we are to determine the amount of the accumulated capital after 6 months.

Now, using the formula for calculating the amount value of the accumulated capital:

[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times \frac{1}{2}}}[/tex]

[tex]\mathbf{A = 10000(1.02)^2}}[/tex]

A = $10,404

b. we are to determine the amount of the accumulated capital after 5 years

[tex]\mathbf{A = P(1 + \dfrac{r}{n})^{nt}}[/tex]

[tex]\mathbf{A = 10000(1 + \dfrac{0.08\times 1}{4})^{4 \times 5}}[/tex]

[tex]\mathbf{A = 10000(1.02)^20}}[/tex]

A = $14859.47

Therefore, we can conclude that the accumulated capital after 6 months is $10,404 and the accumulated capital after 5 years is $14859.47

Learn more about compound  interest here:

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Solve the following linear equations :

(i) x + 2 = 5x

→ 2 = 5x - x

→ 2 = 4x

→ x = 4/2

→ x = 2

(ii) 3(n - 1)/2 = n - 4

→ 3 × (n - 1)/2 = n - 4

→ 3n - 3/2 = n - 4

→ 3n - 3 = 2(n - 4)

→ 3n - 3 = 2 × (n - 4)

→ 3n - 3 = 2n - 8

→ 3n - 2n = -8 + 3

→ n = -5

Answer: 61 unit^2

Step-by-step explanation:

ABCD is a rectangle with dimensions 12 by 11, for a total area of 132 (square units). Although I could determine the lengths of the parallel lines of the interior trapezoid from the data supplied, I'm lazy and decided, instead, to subtract from the total rectangle area the areas of the four right triangles formed outside the shaded area. The area of each triangle is (1/2)b*h, and we are given those dimensions on the figure.

The four triangle areas:

TriD = 36

TriA = 6

TriB = 20

TriC = 9

Total area = 71 square units.

Subtract this from the rectangle's area: 132 - 71 = 61 units^2

This is the area of the shaded trapezoid.

Answer:

see explanation

Step-by-step explanation:

substitute the values of x in the table into g(x)

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

g(- 2) = [tex]4^{-2}[/tex] = [tex]\frac{1}{4^{2} }[/tex] = [tex]\frac{1}{16}[/tex]

g(- 1) = [tex]4^{-1}[/tex] = [tex]\frac{1}{4}[/tex]

g(0) = [tex]4^{0}[/tex] = 1

g(1) = [tex]4^{1}[/tex] = 4

g(2) = 4² = 16

Answer:

45°

4 units

Step-by-step explanation:

Rotation changes nothing about the geometric relationships within the figure. Angle measures are unchanged; side lengths are unchanged.

The acute angles of an isosceles right triangle are (180° -90°)/2 = 45°. This is true regardless of the orientation of the triangle with respect to any coordinate axes.

The measures of the legs of your triangle are 0 -(-4) = 4 = (1 - (-3)). Rotating the figure any amount in any direction around any center doesn't change that.

Answer: ABC EASY AS 123

Step-by-step explanation:

Answer:

Perimeter of Δ XYZ = 24.13

Step-by-step explanation:

In Δ XYZ is a right  triangle because the XYZL is a square.  Therefore the hypotenuse = 10; Looking at the 43° angle, XY is the side that is opposite the 43° angle and the YZ is the side that is adjacent to the 43°.

Using the trig ratios:  

XY = opposite/ hypotenuse which is Sin 43°

Sin 43° = XY/ 10

10(Sin 43°) = XY

 6.82 = XY

YZ = adjacent/hypotenuse which is Cos 43°

Cos 43° = YZ/10

10(cos 43°) = YZ

7.31 = YZ

Now the Perimeter = XY + YZ + XZ

  Perimeter = 6.82 + 7.31 + 10

  Perimeter = 24.13  

Answer: 14.4p - 2.2q + 4.3r

Step-by-step explanation:

(8.8p + 5.6p) + (6.2q - 8.4q) + (-1.8r + 6.1r)

= 14.4p - 2.2q + 4.3r

please give me a brainliest answer

Answer: 3x² - 2x - 5

Step-by-step explanation:

The area of a rectangle is simply length * width.  Thus, simply multiply them, and FOIL.

(3x - 5) (x + 1)

3x ^2 + 3x - 5x - 5

Combine like terms

3x² - 2x - 5

Hope it helps :) and let me know if you want me to elaborate.

Answer:

104

Step-by-step explanation:

Answer:

87%

Step-by-step explanation:

Answer:

X=25

Step-by-step explanation:

The angle of (x+30) is the same as the angle of 55. Simply subtract 30 from 55.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area of a rectangle: length × width

A = 600 × 270

A = 162,000 meters

162,000 meters ⇒ 16.2 hectares

Answer:

x=32

Step-by-step explanation:

Answer:

THIS MATH WEBSITE HELPS A LOT, TYPE YOUR QUESTION AND IT'LL ANSWER IT LOL

Step-by-step explanation:

wish you the best! gl!

Answer:

ABC by the SSS postulate

ASA  rule shows 1 side is congruent and 2 angles congruent

SAS rule shows 2 sides are congruent and 1 angle congruent

SSS rule shows 3 sides are congruent as angles already proven ASA and SAS

Answer:

62

Step-by-step explanation:

Equation: x +28 =90

x = 59°

Measure of one angle = 59°

Measure of another angle = 31°

Equation to calculate the measurement: x + x - 28 = 90Given,

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle.

Given,

Sum of two angles = 90°

One angle is 28° larger than other

Let the measurement of one angle is x

then other angle = x - 28°

But,

x +  x - 28° = 90°

2x - 28° = 90°

2x = 90° + 28°

x = 118°/2

x = 59°

one angle = 59°

other angle = 59° - 28° = 31°

Hence, 59° is measure of one angle

and 31° is measure of other angle.

x + x - 28 = 90 is the Equation to calculate the measurement.

Learn more about angle here:

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Answer:

5x + 35 = 175

$28

Step-by-step explanation:

She paid 35 for 1 pair of skis. She paid a certain amount(x) for 5 hours (5x + 35). Therefor making the expression 5x + 35 = 175.

Then, solve the equation with inverse operations.

5x + 35 = 175

Step 1: Subtract 35 from both sides.

5x = 140

Step 2: Divide 5 from both sides.

x = 28

Therefore, Kylie paid $28 each hour of the group skiing lessons.

20.8 cm

so sorry if incorrect :(

Answer:

The answer is not there.

Step-by-step explanation:

-1 5/6 x 4 6/1

-(1 x 6 + 5/6) x (4 x 1 + 6)

-11/6 x 10

-110/6

Simplified

-55/3 or -18 1/3

Answer:

46lb

Step-by-step explanation:

you take twenty five divide by one twenty

Answer:

30lbs your awnser is that 30 pounds

Answer:

uhh I'm pretty sure it's (9,1) went from quadrant 3 to 2 which is all positives

Answer:

m<a=27º

Step-by-step explanation:

a triangle is 180º total

180-90=90

90-63=27

Answer:

1/27

have a lovely day <3

Answer:

[tex]\frac{1}{27}[/tex]

Step-by-step explanation:

[tex]\frac{1}{3} ^3[/tex]

[tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex]

[tex]\frac{1}{27}[/tex]

i cant see the pdf???????????????

Answer:

-9!!!

Step-by-step explanation:

4 - 9 = -5

-5 - 9 = -14

-14 - 9 =  -23

-23 - 9 = -32

Brainliest me plzzz