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3 years ago

1. Two angles are supplements. The larger is 10 more than 4 times the smaller. Find both angles,

Mathematics

1 answer:

scZoUnD [109]3 years ago

5 0

Step-by-step explanation:

Supplementary angles equal 180°

1. Let the two angles be x and y

then y = 4x + 10

x + y = 180

x + (4x + 10) = 180

5x + 10 = 180

5x = 180 - 10

5x = 170

x = 170 / 5

x = 34

x = 34y = 146

2. if the two angles are equal then divide 180 by 2 to get 90

3. 180 - x = 3(90 - x)

180 - x = 270 - 3x

2x = 90

x = 45

4. 180 - x = 2x - 12

180 - 12 = 2x + x

168 = 3x

x = 56

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Five years ago, you invested $475 in corporate stock. You received dividends of $10 at the end of each quarter for two years. Yo

RUDIKE [14]

The rate of return earned on the investment of $475 five years ago in the corporate stock is 312.63%.

<h3>What is the rate of return?</h3>

The rate of return is the net gain or loss of an investment expressed as a percentage of the investment's initial cost.

It is given by the formula, R= {Vf - Vi}/{Vi} x 100.

Where:

R = Rate of return

Vf = final value, including dividends and interest

Vi = initial value

<h3>Data and Calculations:</h3>

Investment cost = $475

Dividends received:

1st two years = $80 ($10 x 8)

Three years = $180 ($15 x 12)

Total dividends received = $260 ($80 + $180)

Total revenue from sale = $1,700

Total proceeds = $1,960 ($1,700 + $260)

Total return = $1,485 ($1,960 - $475)

Rate of return = 312.63% ($1,485/$475 x 100)

Thus, the rate of return is 312.63%.

Learn more about calculating the rate of return at brainly.com/question/14220025

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8 0

2 years ago

The weight of an African elephant is 6 × 106 grams; the weight of a tiger is 3 × 105 grams. How many times heavier is the elepha

likoan [24]

2 grams

6 x 106 = 636
3 x 105 = 315

315 x (2) = about 630

3 0

3 years ago

Read 2 more answers

What is the equation of a line that passes through the point (8, −2) and is parallel to the line whose equation is 3x + 4y = 15?

Dafna1 [17]

Step 1

<u>Find the slope of the given line</u>

we have

$3x+4y=15$

Isolate the variable y

Subtract $3x$ both sides

$3x+4y-3x=15-3x$

$4y=-3x+15$

Divide by $4$ both sides

$y=-\frac{3}{4}x+ \frac{15}{4}$

the slope of the given line is

$m=-\frac{3}{4}$

Step 2

Find the equation of the line that passes through the point $(8,-2)$ and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

$y-y1=m(x-x1)$

we have

$m=-\frac{3}{4}$

$(x1,y1)=(8,-2)$

substitute in the equation

$y+2=-\frac{3}{4}(x-8)$

$y=-\frac{3}{4}x+6-2$

$y=-\frac{3}{4}x+4$ or $3x+4y=16$

therefore

<u>the answer is</u>

$y=-\frac{3}{4}x+4$

$3x+4y=16$

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3 years ago

a shoreline is changing -3 centimeters each year due to erosion. what is the change in shoreline over 6 years?

NikAS [45]

Answer:

-18

Step-by-step explanation:

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4 years ago

Determine whether each equation has one solution, no solution, or infinite solutions.

Sati [7]

Answer:

a. has one solution

b. infinite solution

Step-by-step explanation:

2(x - 1) + 6 = 4x - 22

2x - 2 + 6 = 4x - 22

2x - 4x = 2 - 6 - 22

-2x = -26

x = 26/2

x = 13

6(2x + 1) – 2 = 12x + 4

12x + 6 - 2 = 12x + 4

12x - 12x = 4 + 2 - 6

0 = 0

6 0

4 years ago