Hello! For this question, we are compounding. The formula for compounding is P(1 + r)^t, where P = initial amount, r = rate, and t = time in years. In this problem, the rate is 1.2%. 1.2% is 0.012 in decimal form. Let's add 1 to that. 1 + 0.012 is 1.012. That part is done. Next, we raise it to the 7th power, because 2008 to 2015 is 7 years apart. 1.012^7 is 1.08708521101. This is a long decimal, but do not delete it from your calculator. Now, we multiply that number by 6.68 billion, which is 6,680,000,000 in standard form. When you do that, you get 7,261,729,209.52 or 7,261,729,210 when rounded to the nearest whole number. There. The world population will be 7,261,729,210 by 2015.
Answer: 3/8
There are only three numbers in there that 2 and 3 can go into evenly.
The probability that you will randomly select one of those numbers is 3/8.
-Brainly Answerer
Answer:
Step-by-step explanation:
First simplify:
Therefore we have:
![\sum\limits_{n=1}^{150}[-1-(n-1)]=\sum\limits_{n=1}^{150}(-n)=(-1)+(-2)+(-3)+...+(-150)\\\\-1,\ -2,\ -3,\ -4,\ ...,\ -150-\text{it's the arithmetic sequence}\\\text{with the common difference d = -1.}\\\\\text{The formula of a sum of terms of an arithmetic sequence:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\text{Substitute}\ n=150,\ a_1=-1,\ a_n=-150:\\\\S_{150}=\dfrac{-1+(-150)}{2}\cdot150=(-151)(75)=-11,325](https://tex.z-dn.net/?f=%5Csum%5Climits_%7Bn%3D1%7D%5E%7B150%7D%5B-1-%28n-1%29%5D%3D%5Csum%5Climits_%7Bn%3D1%7D%5E%7B150%7D%28-n%29%3D%28-1%29%2B%28-2%29%2B%28-3%29%2B...%2B%28-150%29%5C%5C%5C%5C-1%2C%5C%20-2%2C%5C%20-3%2C%5C%20-4%2C%5C%20...%2C%5C%20-150-%5Ctext%7Bit%27s%20the%20arithmetic%20sequence%7D%5C%5C%5Ctext%7Bwith%20the%20common%20difference%20d%20%3D%20-1.%7D%5C%5C%5C%5C%5Ctext%7BThe%20formula%20of%20a%20sum%20of%20terms%20of%20an%20arithmetic%20sequence%3A%7D%5C%5C%5C%5CS_n%3D%5Cdfrac%7Ba_1%2Ba_n%7D%7B2%7D%5Ccdot%20n%5C%5C%5C%5C%5Ctext%7BSubstitute%7D%5C%20n%3D150%2C%5C%20a_1%3D-1%2C%5C%20a_n%3D-150%3A%5C%5C%5C%5CS_%7B150%7D%3D%5Cdfrac%7B-1%2B%28-150%29%7D%7B2%7D%5Ccdot150%3D%28-151%29%2875%29%3D-11%2C325)
If I'm understanding your question, the drawing is 10cm and for every 10cm, the drawing is etched 1mm. This means that no matter how big the drawing gets, the actual object will always be bigger since it's 10cm larger always than the drawing. Hope this helped!
Since the value 0.98 is less than 1, we can therefore say that balance in this account is decreasing.
<h3>
How to recognize Exponential Function.</h3>
Exponential Function can be used for increase rate and also for decay rate. The difference between the two are the plus and minus signs. To put it in another perspective, If Y = P(M)³
If M is less than one, that means it is decaying or decreasing. And if M is greater than one, that means it is increasing.
Given that Some banks charge a fee on savings accounts that are left inactive for an extended period of time. And the equation
y = 5000(0.98)^x represents the value, y, of one account that was left inactive for a period of x years.
According to the equation, to know if the balance in this account is increasing or decreasing, we will analyze the value 0.98.
Since the value 0.98 is less than 1, we can therefore say that balance in this account is decreasing.
Learn more about Exponential Function here: brainly.com/question/2456547
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