Three hundred ten million, seven hundred sixty three thousand, one hundred thirty six
Answer:
8184 vocalists sang in total
Step-by-step explanation:
The number needed is ...
8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024 + 2048 + 4096
You can add these up to get a total of 8184, or you can use the formula for the sum of a geometric series:
Sn = a1(r^n -1)/(r -1) . . . . where a1 is the first term and r is the common ratio
S10 = 8(2^10 -1)/(2 -1) = 8(1024 -1)/1 = 8184
To determine the ratio that would perfectly illustrate the given above, we need to have these numbers such that they would have the same unit. It is to be noted that every year is composed of 12 months. Converting 24 months to years,
n = (24 months)(1 year/12 months) = 2 years
Hence, the ration should be 2 years is to 3 years which is equal to 2:3.
Answer: 2:3
Answer: A = 72000(1.034)^8
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = initial population
r = growing rate (decimal form)
t= years
A = population after t years
Replacing with the values given:
A = 72000 (1+ 3.4/100) ^8
A = 72000(1.034)^8
Feel free to ask for more if needed or if you did not understand something
Answer:
The value of √46 is between 6.5 and 7.
Step-by-step explanation:
We can use perfect squares to solve this problem.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
A square root reverses the squaring operation. Therefore, if we take the square root of 49, we will get 7.
So, because 46 fits in the interval 36 < 46 < 49, we can solve this problem.
√36 = 6
√46 = ?
√49 = 7
Therefore, using this information, we can see that clearly the value of 46 is closer to 49, meaning that the square root of 46 is between 6.5 and 7.
