Answer:
3 units
Step-by-step explanation:
Hello
The sphere volume is:
(4/3)*Pi*r^3
then
36 = (4/3)*Pi*r^3
36/[(4/3)*Pi] = r^3
8,5 = r^3
r = 3
Best regards
Answer:
none of the above
Step-by-step explanation:
√36100 = ±190
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- It can be utilized to uncover intricate details about a situation or to spark fresh study concepts.
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- verbal or behavioral data must be categorized.
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Learn more about Qualitative research
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Answer:
29
61
Step-by-step explanation:
x^2 - 20
x = 7 and 9
Evaluate
___________
We know the values of x, let's substitute them with the x in the problem :
(7)^2 - 20
49 - 20
29
(9)^2 - 20
81 - 20
61
We will have to solve for the rate of both accounts.
We'll use this complicated formula:
<span>log(1 + rate) = {log(total) -log(Principal)} ÷ Years
One account doubles the money every 8.5 years:
(We'll make total = 2 and principal = 1)
</span><span>log(1 + rate) = {log(2) -log(1)} ÷ 8.5
</span><span>log(1 + rate) = 0.30102999566 / 8.5
</span>log(1 + rate) =
<span>
<span>
<span>
0.0354152936
</span>
</span>
</span>
10^<span>0.0354152936 = </span>
<span>
<span>
<span>
1.0849639136
</span>
</span>
</span>
rate = <span><span><span>8.49639136
</span>
</span>
</span>
The other account triples the money every 10 years:
<span>(We'll make total = 3 and principal = 1)
</span><span>log(1 + rate) = {log(3) -log(1)} ÷ 10
</span><span>log(1 + rate) = 0.47712125472 / 10
</span>log(1 + rate) = 0.047712125472
10^0.047712125472 =
<span>
<span>
<span>
1.116123174
</span>
</span>
</span>
rate = <span><span><span>11.6123174
</span>
</span>
</span>
Okay, NOW we have to calculate when will $750 invested at <span>8.49639136 interest equal $500 </span>invested at <span> interest </span><span>11.6123174?
</span>
That seems difficult to solve exactly because we have 2 unknowns:
We don't know the AMOUNT of money when one account equals the other and we don't know the TIME it will take.
<span><span>Amount 1 = 750 * (1.0849639136)^years
</span>
</span>Amount 2 = 500 * (<span>1.116123174)^years
I don't know how to solve for those equations when Amount 1 = Amount 2.
However, I was able (by trial and error) to determine a precise answer.
In 14.32005 years, both accounts will equal $2,411.07.
</span>