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4 years ago

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A business woman uses 1/3 of the floor of an office building. She needs to use 5/8 of the floor to expand her business. How much

of the space that she needs does she currently use?

1 answer:

Mice21 [21]4 years ago

3 0

They both go into 24ths so 1/3 equals 8/24 and 5/8 equals 15/24 so 15 minus 8 =7 she needs 7 more to expand and she owns 8/15ths of what she needs to expand

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Jim is investing in the stock market. Jim is hoping to earn $2,000 in interest in order to take a trip to Mexico. Stock A earns

Vanyuwa [196]

Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

$x+y=32000$ ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

$0.04x+0.07y=2000$ ...(ii)

From (i) and (ii), we get

$0.04x+0.07(32000-x)=2000$

$0.04x+2240-0.07x=2000$

$-0.03x=2000-2240$

$-0.03x=-240$

Divide both sides by -0.03.

$x=\dfrac{-240}{-0.03}$

$x=8000$

Put x=8000 in (i).

$8000+y=32000$

$y=32000-8000$

$y=24000$

Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.

8 0

3 years ago

Steven has a rectangular closet the length is 10 feet and the width is 48 inches determine the area of the closet in square feet

svetlana [45]

The answer is 480 because the equation is always length times width.

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3 years ago

Read 2 more answers

Find a particular solution to y" - y' + 9y = 3 sin 3x

Dima020 [189]

Answer:

cos3x

Step-by-step explanation:

y" - y' + 9y = 3 sin 3x

$D^{2}y-Dy+9y=3 sin3x$

$y=\frac{3 sin 3x}{(D^{2} -D+9}=3 sin 3x$

here $D^2$ will be replaced by $\alpha^2$ where $\alpha$ is coefficient of x

$y=\frac{3 sin 3x}{-3^{2} -D+9}$

$y=-3\frac{sin 3x}{D}$

$y=-3\int\ {sin 3x} \, dx$

$y=-3\frac{cos3x}{-3}$

y=cos3x

hence Particular solution is cos3x

6 0

4 years ago

Which percent is equivalent to 7/20? a- 28% b- 7% c- 35% d- 27%

mash [69]

First change 7/20 into a decimal fraction: 35/100.

Then multiply this result by 100%: 35%

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3 years ago

State a and d for the arithmetic sequence below:<br> 3,9, 15, 21...<br> a<br> d=

goldenfox [79]

Answer:

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