If 15% of y is 13.2, what is y?
1 answer:
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Answer:
The money Rachael plan to collect for the shelter is <u>$345</u>.
Step-by-step explanation:
<u><em>There are some data missing in the question, so below is the complete question:</em></u>
Rachel is collecting donations for the local animal shelter. So far she has collected $245, which is 70% of what she hopes to collect. How much money does Rachel plan to collect for the shelter?
Now, to find the money Rachael plan to collect for the shelter.
Let the total money Rachael plan to collect be
The amount far she has collected = $245.
Percentage of amount she hopes to collect = 70%.
Now, to get the total money Rachael plan to collect:
<em>Dividing both sides by 0.70 we get:</em>
Therefore, the money Rachael plan to collect for the shelter is $345.
Answer:
11.51
Step-by-step explanation:
In general, a calculator is required to evaluate the irrational sum ...
π + √70
<h3>Calculator result</h3>The result from a readily-available online calculator is shown in the attachment.
π + √70 ≈ 11.51
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<em>Additional comment</em>
You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.
For a number n = a² +b, the square root can be approximated by the continued fraction ...
√n ≈ a +b/(2a +b/(2a +...))
Effectively, the root (r) can be iterated from the recursive formula ...
r' = a +b/(a +r)
For √70, we have 70 = 8² +6 ⇒ a=8, b=6
If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...
r1 = 8 + 6/(8 +r0) = 8 + 6/(8 +8) = 8 3/8
r2 = 8 + 6/(8 +r1) = 8 +6/(8 +8 3/8) = 8 48/131
This has sufficient accuracy for the purpose. The decimal equivalent of the sum then becomes ...
3.1416 +8.3664 = 11.5080 ≈ 11.51
