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Paul [167]
3 years ago
9

Question 11

Mathematics
1 answer:
shepuryov [24]3 years ago
3 0

Answer:

A. x^27/10

B. 1/x^-27/10

Step-by-step explanation:

Mathematically, if we have the same base, we simply add up the index

Thus, we have that;

x^1/5•x^5/2 = x^(1/5 + 5/2) = x^(2 + 25)/10 = x^27/10

A) In the first form, we have that;

x^27/10

a = 27/10

B) We simply negate what we have above in terms of the index according to the indices law below;

a^b = 1/a^-b

Hence, we have that;

1/x^-27/10

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Mary had $25,000 to invest. She invested part of that amount at 3% annual interest and part at 5% annual interest for one year.
emmasim [6.3K]
(25000-f)(.03)+.05f=1100

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750+.02f=1100

.02f=350

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So Mary invested $17500 @ 5% and 7500 at 3% to earn $1100 in interest.


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3 years ago
Imagine you had 40 one-metre sections of fencing.
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Step-by-step explanation:

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So for the largest area, since you know that you have 40 fences, and each are 1 meter long, and they’re also asking for the largest rectangular area, this means that only the opposite sides will have the same length, so in order to divide the rectangle with the 40 one-meter fences, the biggest sides have to be 15 meters long (so for both : 15x2=30 meters). Then you deduct from 40, 30 : 40-30 = 10 which then you can devide by 2 and find 5 + 5 and that means that the 2 smallest sides will be 5 meters long each. Then finally to calculate the perimeter you should do the biggest side multiplied by the smallest side : 15 x 5 and you find 75 m2 (squaremeters), if I’m not mistaken.

And for the smallest area you take the smallest possibilities knowing that only the opposite sides should have the same length and not all of them, so you do 1 x 2 and you find 2 m2.

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Step-by-step explanation:

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