What number should be added to the expression below to make a complete square? x²

Three women, Chantel, Marissa, and Qian, enjoy running laps around a circular track. Each women runs at a constant speed. It tak

lubasha [3.4K]

It takes 150 seconds for Qian to complete the track.

Let she runs the track in the clockwise direction.

In 60 seconds, she runs $\frac{60}{150}$ = $\frac{2}{5}$ th of the track.

Since she meets Marissa, who is running in the opposite (counter clockwise) direction in every 60 seconds, Marissa should have completed $\frac{3}{5}$ th of the track.

Chantel meets Marissa in every 300 seconds.

So, in 60 seconds, she advances Marissa by $\frac{1}{5}$ th of the track.

Hence, in 300 seconds, Qian, Marissa and Chantel all meets at the starting point.

ALITER;

Marissa meets Qian in every 60 seconds.

So, Marissa and Qian meet each other in 60th, 120th, 180th, 240th and 300th second.

But, it is given that Chantel meets Marissa in every 300 seconds.

So, in 300 seconds, Qian, Marissa and Chantel meet each other.

6 0

3 years ago

Your estimate of the market risk premium is 9%. The risk-free rate of return is 4% and General Electric has a beta of 0.7. Accor

weqwewe [10]

Answer:

Expected rate of return is 10.3%

Step-by-step explanation:

CAPM calculate the expected return by using the risk free rate market premium and beta of investment. It helps to decided the additional investment in a well diversified portfolio.

Formula of CAPM to calculate the rate of return

Rate of Return = Risk free rate + beta ( Risk premium )

Rate of Return = 4% + 0.7 ( 9% )

Rate of Return = 10.3%

6 0

4 years ago

Harvey worked 36 hours this week. He earns $28.46 an hour. How much did he earn this week

Snowcat [4.5K]

Answer:

$1,024.56

Step-by-step explanation:

Simple math, So what you would do to find this answer would be taking the amount of money hes earning an hour and times that by how many hours he worked that week. so $28.46 x 36 = $1,024.56

4 0

4 years ago

Read 2 more answers

How far from the base of the house do you need to place a 15ft ladder so that it exactly reaches the top of a 12ft tall wall

Anettt [7]

It's a right triangle problem, and pretty obviously a multiple of the only Pythagorean Triple most folks know, 3²+4²=5². In this case we multiply the lengths by three getting

9²+12²=15²

If we place the 15 foot ladder 9 feet from the house it will hit the house at height 12 feet.

Answer: 9 feet

4 0

3 years ago

Need help find the missing term

Lerok [7]

Let me show u one in detail.

First we have to find the common ratio. We do this by dividing the second term by the first term.

ur first problem...
12/3 = 4...so the common ratio is 4

now we use the formula
an = a1 * r^(n-1)
n = term u want to find = 15
a1 = first term = 3
r = common ratio = 4
now we sub
a15 = 3 * 4^(15 - 1)
a15 = 3 * 4^14
a15 = 3 * 268435456
a15 = 805,306,368 <== ur 15th term

thats all there is to it...and, of course, u can always look on the internet for a geometric sequence calculator...to check urself...lol

7 0

4 years ago

What number should be added to the expression below to make a complete square? x² – 12x