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Grace [21]
3 years ago
8

Suppose a goat was tethered at the middle of a 100-foot-long fence and the length of the rope was 50 feet, as shown in the diagr

am below. Over how much area could the goat graze? (Round your answer to two decimal places.)
What if the point at which the goat was tethered was at the middle of a 50-foot-long fence, as shown in the diagram below? Over how much area could the goat graze? (Round your answer to two decimal places.)
Mathematics
1 answer:
Dvinal [7]3 years ago
8 0
The area the goat can graze is 1/2π(50)²= 1250π sq. feet

The rope length is 50 feet again, thus the results are the same.
 
1/2π(50)²= 1250π sq. feet
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3 years ago
Can someone help me with this please
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2 years ago
Charlie wants to make a one-time investment in an account that earns 4% interest compounded quarterly. To earn $315,930 after 21
KIM [24]

Answer:

B.  $136,960.54

Step-by-step explanation:

Rate = r = 4%

Times = b = 4

Future Value = A = $315,930

No. pf Years = n = 21

Present Value = P = ?

A = P [1 + (r / b)]ⁿᵇ

$315,930 = P [1 + (0.04 / 4]²¹ ˣ ⁴

$315,930 = P [1 + 0.01]⁸⁴

$315,930 = P [1.01]⁸⁴

$315,930 = P x 2.306723

P = $315,930 / 2.306723

P = $136,960.54

8 0
3 years ago
If $3 million is invested at 6% interest compounded continuously how much will the investment be worth in 35 years
Bogdan [553]
<span>P=$3000000 , r=6% , n=365 and t=35 years

</span>A= 3000000 (1 +0.06/365)³⁶⁵ˣ³⁵
A= 3000000 * 1.000164¹²⁷⁷⁵
A= 3000000 * <span>8.124858
A= 24374574

</span>A = P+<span>I
</span><span>2437457.4 </span><span><span>=3000000+I
</span><span><em />I =2437457.4−3000000
</span><span>I =21374574</span></span>
8 0
3 years ago
First, rewrite 5/9 and 11/21 so they have a common denominator. Then, use to order 5/9 and 11/21.
spayn [35]

5/9 and 11/21

LCM of the denominators is 63

changing their denominators to all have a common denominator of 63:

5(7)/63 = 35/63

11(3)/63 = 33/63

from the above;

5/9 > 11/21.

4 0
3 years ago
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